Early Years Curriculum (EYC)
(160)
Level1
(50)
01. Welcome to the preschool!
(5)
02. Friends
(5)
03. My family
(5)
04. Toys
(5)
05. My house
(5)
06. On my way to preschool
(5)
07. On the playground
(5)
08. Hygiene
(5)
09. Day and night
(5)
10. Food
(5)
Level2
(50)
01. Together at the preschool
(5)
02. Friends and strangers
(5)
03. Family
(5)
04. Playing theatre
(5)
05. Home: how does it work?
(5)
06. The world around us
(5)
07. Safety first
(5)
08. I care about my health
(5)
09. At the doctor's
(5)
10. In the kitchen and at the table
(5)
Level3
(50)
01. Me
(5)
02. Me and others
(5)
03. It’s a beautiful world
(5)
04. In the world of art
(5)
05. In the world of animals
(5)
06. In the world of nature
(5)
07. Safe/unsafe
(5)
08. My wonderful body
(5)
09. The Earth and outer space
(5)
10. How does it work?
(5)
Emotions
(10)
English Play Box (EPB)
(225)
Level 1
(61)
Learning colours
(8)
My toys
(8)
Family
(8)
My face
(8)
Numbers
(8)
Animals
(8)
Shapes
(13)
Level 2
(108)
Even more colours!
(15)
In the kindergarten
(16)
This is my family
(16)
My body
(16)
Counting shapes
(16)
I like animals
(16)
Weather
(13)
Level 3
(56)
Mixing colours
(8)
In the kindergarten and at school
(8)
My family
(8)
Clothes I wear
(8)
I’m happy!
(8)
In the country
(8)
We travel the world
(8)
CLIL
(130)
Level 1
(37)
Level 2
(44)
Level 3
(49)
Core Curriculum English (CCE)
(1,073)
Teachers training
(12)
Core Curriculum English (CCE) – Primary
(558)
Level1
(73)
Level2
(72)
Level 2
(1)
Level 3
(73)
Level 4
(113)
Level 5
(113)
Level 6
(113)
Core Curriculum English (CCE) – Secondary
(503)
Level 1
(89)
Level 2
(89)
Level 3
(89)
Level 4
(89)
Level 5
(81)
Level 6
(66)
Project Based Learning (PBL)
(12)
Lower Primary Curriculum (LPC)
(520)
Art & Design
(38)
Environmental protection
(24)
Geography
(22)
ICT
(39)
Language and Communication
(59)
Mathematics
(153)
Music
(20)
Religion
(42)
Road Safety Education
(16)
Science
(82)
Social, Emotions, Health
(25)
123 Math
(342)
1A
(52)
1. Count and Compare Numbers
(10)
2. Numbers 0–5
(16)
3. Numbers 6–10
(14)
4. Geometry and Measurement
(12)
1B
(58)
1. Numbers up to 20
(9)
2. Telling Time
(8)
3. Addition within 20
(10)
4. Subtraction within 20
(9)
5. Mathematics and Money
(10)
6. Numbers up to 100
(12)
2A
(52)
1. Numbers up to 20
(11)
2. Numbers up to 100
(13)
3. Multiplication
(17)
4. Geometry and Measurement
(11)
2B
(54)
1. Measuring Tools
(16)
2. Multiplication and Division
(13)
3. Numbers up to 1 000
(19)
4. Investigate and Experiment
(6)
3A
(63)
1. Addition and Subtraction with Numbers up to 100
(10)
2. Multiplication
(11)
3. Division
(12)
4. Numbers up to 1 000
(19)
5. Geometry
(11)
3B
(63)
1. Measurement
(14)
2. Fractions and Decimals
(16)
3. Multiplication with large numbers
(11)
4. Numbers up to 10 000
(10)
5. Addition and Subtraction within 10 000
(12)
Financial literacy (FG)
(77)
Man in the sphere of money
(16)
The security of money
(1)
Securing money
(4)
Securing the money
(8)
Financial responsibility
(21)
Planning and management
(16)
Saving and investing
(11)
Environmental education (MMP)
(76)
Environment and its protection
(39)
Environment and human activity
(37)
World Phenomena (PW)
(450)
Water
(90)
How does it work?
(25)
Small molecule of huge importance
(7)
In the footsteps of water in the landscape
(9)
Water on the move
(9)
How does it affect us?
(34)
Water needed
(13)
Water is a valuable resource
(14)
Water is not just a drink
(7)
What is its history?
(16)
The steam age
(6)
Water as a barrier and a path
(5)
Civilizations near large rivers
(5)
What makes it unique?
(15)
Natural disasters
(5)
Life on Mars
(5)
The ice kingdom
(5)
Sun
(90)
How does it work?
(24)
The life of the Sun
(7)
Characteristics of the Sun
(11)
The Sun as a body in space
(6)
How does it affect us?
(26)
The dangerous Sun
(8)
The Sun as a condition for life
(13)
The Sun as a source of energy
(5)
What is its history?
(20)
Sun cultures and civilizations
(9)
Heliocentrism and Geocentrism
(5)
The Sun as a navigational aid
(6)
What makes it unique?
(20)
Planets of our solar system
(8)
Earth's temperature
(6)
Studying the Sun
(6)
Air
(90)
How does it work?
(27)
Earth's atmosphere
(9)
Climate from the equator to poles
(10)
Wind: a creator and a destroyer
(8)
How does it affect us?
(21)
No life without air
(9)
Wind energy
(6)
Air pollution
(6)
What is its history?
(23)
Climate change and civilizations
(6)
Learning to fly
(9)
Who rules the sky
(8)
What makes it unique?
(19)
Weather forecasting
(7)
Hamessing air currents
(8)
Vacuum
(4)
Culture
(90)
How does it work?
(24)
Culture around us
(8)
The past under a microscope
(8)
The clash of civilizations
(8)
How does it affect us?
(21)
Cultural behaviours
(7)
At the edge of culture Ethics
(7)
Art and fine culture
(7)
What is its history?
(23)
Great cultures of the past
(23)
Moments of change
(16)
What makes it unique?
(22)
Alphabets of the world
(7)
Changes in education
(7)
Book culture
(8)
Communication
(90)
How does it work?
(28)
Animal communication
(11)
Verbal and non-verbal communication
(8)
Man and machine
(9)
How does it affect us?
(20)
Languages around the world
(8)
A world of media
(6)
The internet
(6)
What is its history?
(21)
Language of images
(7)
The road to modern communications
(8)
Communication that changed the world
(6)
What makes it unique?
(21)
Secret communication
(9)
Data path
(7)
Fragments of understanding
(5)
Universal curriculum (mUC)
(1,034)
Primary School – Part 2
(392)
Biology
(101)
I. Cell – the basic unit of living organisms
(9)
1. Structure of plant and animal cells
(1)
3. Chemical composition of cells
(1)
4. Nucleus as a source of genetic material
(1)
5. Cell division
(1)
6. Cell differentiation
(1)
7. Transport of molecules across biomembranes
(1)
8. Metabolic processes in the cell
(1)
9. Plant tissues
(1)
10. Animal tissues
(1)
I. Cell – basic unit of living organisms
(1)
2. Microscopes and cell size
(1)
II. Diversity of living organisms
(8)
11. Classification of living organisms
(1)
12. Prokaryotic organisms, protozoa, algae and fungi
(1)
13. Plants
(1)
14. Invertebrates
(1)
15. Reproduction of invertebrates
(1)
16. Vertebrates
(1)
17. Reproduction of vertebrates
(1)
18. Viruses
(1)
III. Structure and functions of the human organism
(36)
Chapter 1. Blood circulation
(6)
19. Blood
(1)
20. Blood vessels
(1)
21. Blood groups and Rh-factor
(1)
22. Circulatory system
(1)
23. Effect of physical exercise on the circulatory system
(1)
24. Risk factors for heart attack
(1)
Chapter 2. Nutrition
(4)
25. Nutrients
(1)
26. Human digestive tract
(1)
27. Digestion
(1)
28. Absorption
(1)
Chapter 3. Respiratory system
(2)
29. Respiratory system
(1)
30. Cellular respiration and energy production
(1)
Chapter 4. Nervous system
(6)
31. Nervous system as a receiver of environmental stimuli
(1)
32. Nervous system
(1)
33. Peripheral nervous system
(1)
34. Reflex responses of the nervous system
(1)
35. Sensory organs
(1)
36. Eye and ear
(1)
Chapter 5. Hormones
(3)
37. Hormones and endocrine glands
(1)
38. Hormonal regulation of metabolic processes
(1)
39. Sex hormones
(1)
Chapter 6. The human locomotor system
(2)
40. Skeletal system
(1)
41. Skeletal muscles
(1)
Chapter 7. Homeostasis
(3)
42. Homeostasis
(1)
43. Regulation of the amount and composition of body fluids in the kidneys
(1)
44. Thermoregulation
(1)
Chapter 8. Human Reproduction
(2)
45. Reproductive system
(1)
46. Development of the human embryo
(1)
Chapter 9 Health and Disease
(8)
47. Human immune system
(1)
48. Vaccination
(1)
49. Bacterial diseases
(1)
50. Viral diseases
(1)
51. Human immunodeficiency virus (HIV)
(1)
52. Antiseptics and antibiotics
(1)
53. Parasitic diseases
(1)
54. Effects of drugs, cigarettes and alcohol on the body
(1)
IV. Life processes of plants
(2)
Chapter 1. Plant nutrition
(2)
55. Photosynthesis
(1)
56. Mineral nutrition of plants
(1)
IV. Plant life processes
(7)
Chapter 1. Plant nutrition
(2)
57. Crop production
(1)
58. Carnivorous plants
(1)
Chapter 2 Plant reproduction
(2)
59. Plant propagation
(1)
60. Seed germination and plant growth
(1)
Chapter 3: Transfer of substances in plants and plant movements
(3)
61. Water transfer in plants
(1)
62. Transfer and storage of organic matter in plants
(1)
63. Irritation and plant movements
(1)
V. Variability, heredity and evolution
(16)
Chapter 1. Variability of organisms
(3)
64. Variability of organisms
(1)
65. Reproduction and variability
(1)
66. Mutations as a source of variability in organisms
(1)
Chapter 2 Heredity
(5)
67. Heredity according to Mendel
(1)
68. Principles of human sexual inheritance
(1)
70. Genetic diseases
(1)
71. Heredity of human blood groups
(1)
69. Chromosome theory of heredity
(1)
Chapter 2. Inheritance
(3)
72. Nucleic acids
(1)
73. Gene as a structural and functional unit of DNA
(1)
74. Mutations as changes in DNA
(1)
Chapter 3. Evolution
(5)
75. Origin of life on Earth
(1)
76. Charles Darwin and the theory of evolution
(1)
77. Evolutionary laws and the origin of species
(1)
78. History of life on Earth
(1)
79. Evolution of man
(1)
VI. Biotechnology and genetic engineering
(7)
Chapter 1. How we fight and exploit microorganisms
(1)
80. The growth of bacteria
(1)
Chapter 1. How we fight microorganisms and how we use them
(2)
81. Protecting food from spoilage
(1)
82. Biotechnology past and present
(1)
Chapter 1. How we fight micro-organisms and how we use them
(1)
83. Industrial uses of bacteria
(1)
Chapter 2. Genetic engineering
(3)
84. Genetic engineering and its biotechnological applications
(1)
85. Other applications of genetic engineering
(1)
86. Genetic modification of organisms
(1)
VII. Living organisms and their environment
(11)
87. The individual and the population
(1)
88. Competition. Predation
(1)
89. Symbiosis
(1)
90. Life on land
(1)
91. Life in water
(1)
92. Adaptation of organisms to their environment
(1)
93. Different ways mammals eat
(1)
94. Man and the environment
(1)
95. Environmental pollution
(1)
96. The greenhouse effect and the ozone hole
(1)
97. Conservation of natural resources
(1)
VIII. Energy and substance flow, information exchange
(1)
98. Ecosystem
(1)
VIII. Flow of energy and substances, exchange of information
(3)
99. Food chain
(1)
100. Information in nature
(1)
101. Biogeochemical cycles
(1)
Chemistry
(43)
II. Elements, compounds and mixtures
(1)
11. Chemical compounds
(1)
V. Representation of chemical reactions
(3)
27. Chemical reaction and physical event
(1)
28. Chemical equations
(1)
29. Types of reactions
(1)
VI. Quantitative aspects of chemical reactions
(3)
30. Relative atomic and relative molecular weight
(1)
31. Mol
(1)
32. The practical importance of the pier
(1)
VIII. Water and aqueous solutions
(3)
40. Properties of water
(1)
41. Solubility in water
(1)
43. Colloids. Washing in water
(1)
III. The structure of the atom
(4)
13. The first atomic theories
(1)
16. Continuous and line spectrum
(1)
17. Bohr's model of the atom
(1)
18. Electron configuration of an atom
(1)
IX. Periodic table and chemical properties of elements
(8)
44. Periodic table of elements
(1)
45. Rare gases
(1)
46. Alkali metals
(1)
47. Reactions of alkali metals
(1)
48. Alkaline earth metals. 2nd group
(1)
49. Halogens. Group 17
(1)
50. Reactions of halogens
(1)
51. Transitional elements
(1)
X. Series of reactivity of metals
(3)
52. Electrochemical voltage series of metals
(1)
53. Reactions concerning metals
(1)
54. Electrochemical cells
(1)
XIII. Chemical reactions
(3)
63. Endothermic and exothermic reactions
(1)
64. Reversible reactions and chemical equilibrium
(1)
66. Factors affecting the rate of a chemical reaction
(1)
XIV. Useful products from organic sources
(4)
69. Fossil fuels and crude oil
(1)
70. Cracking and burning of hydrocarbons
(1)
71. Polymers
(1)
72. Impact of petroleum products on the environment
(1)
XV. Useful products from rocks
(2)
77. Industrial use of limestone
(1)
78. Sulfur and sulfuric acid
(1)
XVI. Useful products from the air
(2)
80. Ammonia and nitric acid
(1)
81. Industrial fertilizers
(1)
XVIII. Chemistry and Earth
(2)
88. Movements of lithospheric plates, earthquakes and volcanoes
(1)
92. Metamorphosed rocks and the rock cycle
(1)
XIX. Laboratory methods and analytical tests
(4)
95. Handling of liquids
(1)
96. Handling of solid substances. Warming up
(1)
97. Gases: treatment and laboratory experiments
(1)
98. Evidence reactions of ions
(1)
XX. Safety in the chemical laboratory
(1)
99. Safety in the chemical laboratory
(1)
Mathematics
(137)
I. Numbers. Part I.
(2)
1. Integers
(1)
2. Divisibility
(1)
I. Figures. Part I.
(9)
3. Decomposition into primes
(1)
4. Fractions
(1)
5. Operations with fractions
(1)
6. Decimals
(1)
7. Decimal numbers and fractions
(1)
8. Division
(1)
9. Powers and square roots
(1)
10. Scientific notation
(1)
11. Using a calculator
(1)
II. Geometry and representations
(10)
12. Triangles
(1)
13. Congruence of triangles
(1)
14. Quadrilaterals and their properties
(1)
15. Polygons and regular polygons
(1)
16. Coordinates
(1)
17. Symmetry
(1)
18. Offsets, symmetries and rotations
(1)
19. Equidistance
(1)
20. Similarity
(1)
21. Similarity – solving problems
(1)
III. Algebraic expressions
(6)
22. Algebraic expressions
(1)
23. Multiplying parentheses
(1)
24. Formulas for multiplication
(1)
25. Decomposing into a product (by removing the parenthesis)
(1)
26. Product decomposition (other methods)
(1)
27. More about product decomposition
(1)
IV. Algebraic fractions. Part I.
(2)
28. Solving equations containing algebraic fractions
(1)
29. Expressing a variable from a formula
(1)
V. Propositional logic
(5)
30. Mathematical statements
(1)
31. Reasoning by deduction
(1)
32. Understanding a statement
(1)
33. Problem solving
(1)
34. Assumptions of the problems
(1)
VI. Sets
(1)
35. Quantities
(1)
VII. Statistics
(11)
36. Task specification
(1)
37. Sample selection
(1)
38. Data display
(1)
39. Position characteristics – arithmetic mean
(1)
40. Position characteristics – modus, median
(1)
41. Measures of dispersion (1)
(1)
42. Measures of dispersion (2)
(1)
43. Cumulative abundance curve
(1)
44. Coefficient of skewness
(1)
45. Case study. Part I.
(1)
46. Case study. Part II.
(1)
VIII. Geometry – Pythagorean Theorem
(5)
47. The Pythagorean Theorem
(1)
48. Using the Pythagorean Theorem in the plane
(1)
49. Application of the Pythagorean theorem in space
(1)
50. Construction using ruler and compass, sets of points. Part I.
(1)
51. Construction with ruler and compass, sets of points. Part II.
(1)
IX. The circle
(1)
52. Circle
(1)
IX. Circle
(1)
53. Theorems about the circle
(1)
IX. Circular
(6)
54. Perimeter and central angles
(1)
55. Equation of a circle
(1)
56. Relative position of two circles
(1)
57. Relative position of a line and a circle
(1)
58. Inscribed and described circles
(1)
59. Problems about circles
(1)
X. Percentages
(3)
60. Percentages
(1)
61. Solving problems with percents
(1)
62. Percentages in practice
(1)
XI. Sequences
(2)
63. Finding sequences
(1)
64. nth member of a sequence
(1)
XII. Ratio and Proportion
(5)
65. Ratios
(1)
66. Proportion
(1)
67. Direct proportionality
(1)
68. Indirect proportionality
(1)
69. Various examples
(1)
XIII. Trigonometry. Part I.
(7)
70. Acute angle goniometry
(1)
71. Solving problems using goniometric functions
(1)
72. Goniometry of a general angle
(1)
73. Properties of goniometric functions. Part I.
(1)
74. Properties of goniometric functions. Part II.
(1)
75. Graphs of goniometric functions
(1)
76. Using a graphing calculator
(1)
XIV. Probability
(9)
77. Random events
(1)
78. Combinatorial problems
(1)
79. The classical concept of probability. Part I.
(1)
80. Classical concept of probability. Part II.
(1)
81. The set of possible outcomes
(1)
82. Mutually exclusive events
(1)
83. Independent events (1)
(1)
84. Independent events (2)
(1)
85. Solving simple probability problems
(1)
XV. Graphs of various functions
(2)
86. A function and its graph
(1)
87. Equation of a line
(1)
XV. Graphs of different functions
(5)
88. Linear function
(1)
89. Quadratic function. Part I.
(1)
90. Quadratic function. Part II.
(1)
91. Other functions
(1)
92. Graphs and real-life situations
(1)
XVI. Distances in plane and space
(9)
93. Measurement. Part I.
(1)
94. Measurement. Part II.
(1)
95. Contents of plane figures. Part I.
(1)
96. Contents of plane figures. Part II.
(1)
97. Volume and surface of a prism
(1)
98. Volume and surface of an ihedron
(1)
99. Volume and surface area of cylinder and sphere
(1)
100. Volume and surface area of a cone
(1)
101. Volumes of similar solids
(1)
XVII. Solution of equations
(10)
102. Linear equations, solution of linear equations
(1)
103. Solution of systems of linear equations. Part I.
(1)
104. Solution of systems of linear equations. Part II.
(1)
105. Solving problems using systems of equations
(1)
106. Solution of quadratic equations
(1)
107. Formula for solving quadratic equations
(1)
108. Solving problems using quadratic equations. Part I.
(1)
109. Solving problems using quadratic equations. Part II.
(1)
110. Solving equations by trial and error. Part I.
(1)
111. Solution of equations by trial and error. Part II.
(1)
XVIII. Algebraic fractions. Part II.
(2)
112. Inequalities. Part I.
(1)
113. Inequalities. Part II.
(1)
XIX. Numbers. Part II.
(2)
114. Powers, square roots and exponents
(1)
115. Irrational numbers
(1)
XX. Vectors
(4)
116. Vectors
(1)
117. Operations with vectors
(1)
118. Multiplication of a vector by a real number
(1)
119. Using vectors
(1)
XXI. Correlation and regression
(5)
120. Sampling methods
(1)
121. Regression line
(1)
122. Correlation
(1)
123. Analysis and comparison of data sets
(1)
124. The use of probability in the analysis of random events
(1)
XXII. Trigonometry. Part II.
(5)
125. Goniometric equations. Part I.
(1)
126. Goniometric equations. Part II.
(1)
127. The sine theorem for the content of a triangle
(1)
128. Solving problems using goniometric equations
(1)
129. Pythagorean theorem and trigonometry in space
(1)
XXIII. Transformations of graphs
(2)
130. Transformations of graphs of various functions
(1)
131. Transformations of graphs of goniometric functions. Part I.
(1)
XXIII. Graph transformations
(6)
132. Transformations of graphs of goniometric functions. Part II.
(1)
133. The use of graphs. Part I.
(1)
134. Use of graphs. Part II.
(1)
135. Simple geometric figures
(1)
136. Area under a curve
(1)
137. tangents to graphs
(1)
Physics
(111)
I. Forces
(6)
1. Forces
(1)
2. Composition of forces
(1)
3. Force measurement
(1)
4. Moment of force
(1)
5. Balance
(1)
6. Levers and pulleys
(1)
II. Movement
(5)
7. Displacement, trajectory and speed
(1)
8. Acceleration
(1)
9. Motion graphs
(1)
10. Accelerated motion
(1)
11. Curvilinear motion
(1)
III. Forces and movement
(2)
12. Force and acceleration
(1)
13. Momentum
(1)
III. Forces and Motion
(4)
14. Inertia
(1)
15. Friction
(1)
16. Air resistance
(1)
17. Interaction
(1)
IV. Energy
(6)
18. Work
(1)
19. Potential energy
(1)
20. Kinetic energy
(1)
21. Energy transformations
(1)
22. Power
(1)
23. Efficiency
(1)
V. Gravity
(4)
24. Gravity
(1)
25. Free fall
(1)
26. Spaceflight
(1)
27. Satellites
(1)
VI. Matter
(6)
28. Gases, liquids and solids
(1)
29. Properties of matter
(1)
30. Density
(1)
31. Temperature
(1)
32. Thermal expansion
(1)
33. Gas expansion
(1)
VII. Pressure
(6)
34. Pressure
(1)
35. Pressure in a liquid
(1)
36. Air pressure
(1)
37. Laws of gases
(1)
38. Buoyant force
(1)
39. Floating of bodies
(1)
VIII. Heat
(6)
40. Specific heat capacity
(1)
41. Heat transfer
(1)
42. Melting and solidification
(1)
43. Evaporation and liquefaction (condensation)
(1)
44. Heat sources
(1)
45. Efficiency and economy
(1)
IX. Electrostatics
(4)
46. Charging of bodies by electric charge.
(1)
47. Conductors and insulators
(1)
48. Capacitors
(1)
49. The use of static electricity and the hazards it poses
(1)
X. Direct current
(6)
50. Cells and batteries
(1)
51. Electric current
(1)
52. Ohm's law
(1)
53. Direct current circuit
(1)
54. Variable resistors and non-linear resistors
(1)
55. Work and current output
(1)
XI. Magnetism
(5)
56. Magnetic fields
(1)
57. Electromagnets
(1)
58. Electromagnetic force
(1)
59. Electromotor
(1)
60. Screen and oscilloscope
(1)
XII. Alternating current
(6)
61. Electromagnetic induction
(1)
62. Alternating current and generator
(1)
63. Transformer
(1)
64. Electricity transmission
(1)
65. Household electricity
(1)
66. Electricity and energy saving methods
(1)
XIII. Electronics
(6)
67. Diode
(1)
68. Power supplies and rectifiers
(1)
69. Light and electric current
(1)
70. Transistor
(1)
71. Logic gates
(1)
72. Digital systems
(1)
XIV. Vibrations and mechanical waves
(1)
73. Oscillation
(1)
XIV. Oscillation and mechanical waves
(5)
74. Resonance
(1)
75. Mechanical waves
(1)
76. Reflection and refraction of waves
(1)
77. Seismic waves
(1)
78. Bending and interference of mechanical waves
(1)
XV. Sound
(6)
79. Sound
(1)
80. Infrasound and ultrasound
(1)
81. Interference of sound waves
(1)
82. Sounds in music
(1)
83. Intensity of sound
(1)
84. Doppler phenomenon
(1)
XVI. Electromagnetic waves
(6)
85. Electromagnetic waves
(1)
86. Laser
(1)
87. Bending and interference
(1)
88. Spectrum of electromagnetic waves
(1)
89. Threats associated with electromagnetic waves
(1)
90. Use of waves in communication
(1)
XVII. Light
(7)
91. Reflection of light
(1)
92. Spherical mirrors
(1)
93. Refraction of light
(1)
94. Lenses
(1)
95. Optical instruments
(1)
96. Eye
(1)
97. Colours
(1)
XVIII. Nuclear physics
(8)
98. Structure of an atom
(1)
99. Nuclear radiation
(1)
100. Law of radioactive transformation
(1)
101. Effect of radiation on living organisms
(1)
102. Uses of radioactivity
(1)
103. Nuclear fission
(1)
104. Nuclear energy
(1)
105. Nuclear fusion
(1)
XIX. Earth and the Universe
(6)
106. Solar system
(1)
107. Moon
(1)
108. Eclipses
(1)
109. Structure and evolution of stars
(1)
110. Galaxies
(1)
111. Universe
(1)
Secondary School
(433)
Biology
(100)
I. Chemical properties of organisms
(5)
1. Chemical elements of the cell
(1)
2. Carbohydrates: their structure, properties, occurrence and importance
(1)
3. Lipids: structure, properties, occurrence and importance
(1)
4. Proteins/proteins
(1)
5. Biochemical tests, chromatography, electrophoresis and tissue and tissue separation
(1)
II. Fundamentals of cytology
(7)
6. Shape and size of prokaryotic and eukaryotic cells observed under light microscopy
(1)
7. Current cytological techniques
(1)
8. Microscopic and submicroscopic cell structure
(1)
9. Cell differentiation
(1)
10. Transmission across membranes
(1)
11. Cell division – mitosis (indirect cell division)
(1)
12. Cell division – meiosis (reductive division)
(1)
III. Taxonomy
(7)
13. Taxonomy of organisms
(1)
14. Prokaryotes – simple organisms without a nucleus
(1)
15. Unicellular organisms and algae
(1)
16. Fungi
(1)
17. Plants
(1)
18. Animals – Invertebrates
(1)
19. Animals – vertebrates
(1)
IV. Metabolism
(9)
20. Enzymes as biocatalysts
(1)
21. Industrial applications of enzymes
(1)
22. Use of enzymes in medical laboratories
(1)
23. Cell metabolism
(1)
24. Autotrophic nutrition (photosynthesis)
(1)
25. Biochemical processes of photosynthesis
(1)
26. Factors affecting photosynthesis
(1)
27. Cellular respiration
(1)
28. Aerobic respiration
(1)
V. Nervous regulation
(1)
29. Neuronal excitability
(1)
V. Nerve regulation
(7)
30. Transmission of nerve impulses between cells – synapses
(1)
31. Structure of the human nervous system
(1)
32. Unconditioned – involuntary activity of the nervous system
(1)
33. Autonomic nervous system
(1)
34. Receptors
(1)
35. Eye
(1)
36. Animal behaviour as a form of adaptation to the environment
(1)
VI. Food intake and digestion
(6)
37. Heterotrophic nutrition
(1)
39. Nutritional requirements
(1)
40. Human digestive system
(1)
41. Food processing in the digestive system
(1)
42. Absorption of the products of digestion
(1)
43. Digestion of cellulose-rich food
(1)
VI. Ingestion and digestion of food
(1)
38. Nutrients
(1)
VII. Internal transmission
(4)
44. Transfer of substances in animals
(1)
45. Structure and function of the heart
(1)
46. Transfer of substances in plants
(1)
47. Transpiration
(1)
VIII. Respiratory gas exchange
(3)
48. Respiratory surfaces
(1)
49. Respiratory gas transfer
(1)
50. Physiology of the human respiratory system
(1)
IX. Muscle physiology
(2)
51. Physiology of muscle contractions
(1)
52. Chemistry of muscle contractions
(1)
X. Reproduction
(7)
53. Physiology of the human reproductive system
(1)
54. Fertilization
(1)
55. Development of the human embryo
(1)
56. Birth control in humans and animals
(1)
57. Growth and development of the organism
(1)
58. The aging process
(1)
59. Sexual reproduction in plants
(1)
XI. Homeostasis
(8)
60. The concept of homeostasis
(1)
61. Hormonal regulation
(1)
62. Thermoregulation
(1)
63. Blood glucose regulation
(1)
64. The liver as a homeostatic organ
(1)
65. The role of the kidney in the regulation of water and electrolyte balance. Part I.
(1)
66. The role of the kidney in the regulation of water and electrolyte balance. Part II.
(1)
67. Regulation of water loss in desert animals
(1)
XII. Human health
(9)
68. Characteristics of a healthy organism
(1)
69. Concept of disease
(1)
70. Bacterial diseases
(1)
71. Parasitic diseases
(1)
72. AIDS – an example of a viral disease
(1)
73. Human immunity
(1)
74. Disease of the coronary arteries of the heart
(1)
75. Cancer
(1)
76. Effects of different groups of drugs
(1)
XIII. Genetic information
(6)
77. DNA – the carrier of genetic material
(1)
78. Arrangement of DNA in chromosomes
(1)
79. Cloning of organisms
(1)
80. Genetic code and protein synthesis
(1)
81. Mutations
(1)
82. Chromosomal mutations
(1)
XIV. Genetic engineering
(3)
83. Genetic engineering techniques
(1)
84. Medical applications of genetic engineering
(1)
85. Transgenic organisms
(1)
XV. Genetics according to Mendel
(3)
86. Single trait inheritance
(1)
87. Inheritance of two or more traits
(1)
88. Sex-linked inheritance
(1)
XVI. Variability of organisms
(5)
89. Essence of variability
(1)
90. Factors affecting variability
(1)
91. Fundamentals of population genetics
(1)
92. Speciation – origin of species
(1)
93. Different ways of speciation
(1)
XVII. Population
(7)
94. Characters of populations
(1)
95. Biodiversity
(1)
96 Ecosystem – organisational and functional unit
(1)
97. Energy flow and circulation of substances
(1)
98. Ecological succession
(1)
99. Effects of human activity on ecosystems
(1)
100. Agriculture – biodiversity conservation
(1)
Chemistry
(100)
XII. Organic Chemistry
(5)
1. Structure of the atom
(1)
2. Development of atomic theory. Radioactivity
(1)
3. Atomic spectrum
(1)
4. Electron configuration of the atom
(1)
5. Types of bonds
(1)
XIII. Chemical reactions
(6)
6. Electronegativity and polarity
(1)
7. Shapes of molecules
(1)
8. Valence bond theory and hybridization
(1)
9. Groups of matter
(1)
10. Phase changes
(1)
11. Laws of gases
(1)
XIV. Useful products from organic sources
(1)
12. Intermolecular forces
(1)
XIV. Utility products from organic sources
(1)
13. Structure of solids
(1)
XIV. Beneficial products from organic sources
(2)
14. Mol
(1)
15. Chemical equations
(1)
XV. Beneficial products from rocks
(2)
16. Practical significance of mole
(1)
17. Concentration
(1)
XV. Utility rock products
(4)
18. Periodic table of chemical elements
(1)
19. Properties of elements found in the 3rd period
(1)
20. Periodic changes in the chemical properties of the elements
(1)
21. s-elements
(1)
XVI. Utility products from air
(3)
22. Chemical properties of the s-elements
(1)
23. Elements VII. A groups
(1)
24. Reactions of halogens
(1)
XVII. Foodstuffs and medicinal products
(2)
25. Electron configuration of atoms and periodic properties of transition elements
(1)
26. Oxidation numbers of transition elements
(1)
XVII. Food and medicines
(2)
27. Complexes of transition elements
(1)
28. Oxidation numbers
(1)
XVIII. Chemistry and the Earth
(9)
29. Redox reactions
(1)
30. Recovery of metals. Part I.
(1)
31. Recovery of metals. Part II.
(1)
32. Galvanic cells
(1)
33. Standard electrochemical potential
(1)
34. Electrochemical voltage series of metals
(1)
35. Enthalpy change and calorimetry
(1)
36. Standard enthalpy change. Hess's law
(1)
37. Born-Haber cycle
(1)
XIX. Laboratory methods and analytical tests
(4)
38. Changes of enthalpy in the dissolution process
(1)
39. Average value of binding enthalpies
(1)
40. Entropy
(1)
41. Free energy
(1)
XX. Safety in the chemical laboratory
(1)
42. Chemical reaction rate
(1)
IX. Kinetics of reactions
(2)
43. Collision theory
(1)
44. Effect of concentration on reaction rate. Rate equation
(1)
X. Chemical equilibrium
(3)
45. Effect of concentration on reaction rate. Methods of graphing
(1)
46. Effect of temperature and catalyst on reaction rates
(1)
47. Catalysts and enzymes
(1)
XI. Acids, bases and salts
(8)
48. Chemical equilibrium and equilibrium constant
(1)
49. Factors affecting chemical equilibrium
(1)
50. Chemical equilibrium in the gas phase
(1)
51. Dissociation of acids, bases and salts
(1)
52. Brønsted-Lowry theory of acids and bases. Autoprotolysis of water
(1)
53. pH as a general measure of acidity
(1)
54. Weak acids and weak bases
(1)
55. Salts in aqueous solutions
(1)
XII. Transition metals
(3)
56. Buffer solutions
(1)
57. Acid-base titration
(1)
58. Titration curves
(1)
XIII. Reaction of metal ions in aqueous solutions
(2)
59. Acid-base reactions of metal ions
(1)
60. Ligand exchange reactions
(1)
XIV. Hydrocarbons
(6)
61. Petroleum as a source of hydrocarbons
(1)
62. Hydrocarbons as fuel
(1)
63. Alkanes and cycloalkanes
(1)
64. Chemistry of alkanes and cycloalkanes
(1)
65. Alkenes
(1)
66. Reactions of alkenes
(1)
XV. Halogenated derivatives, alcohols and epoxides
(5)
67. Halogenated alkanes
(1)
68. Reactions of halogenalkanes
(1)
69. Alcohols
(1)
70. Ethanol
(1)
71. Reactions of alcohols
(1)
XVI. Compounds with a carbonyl group
(4)
72. Aldehydes and ketones
(1)
73. Reactions of aldehydes and ketones
(1)
74. Carboxylic acids
(1)
75. Functional derivatives of carboxylic acids
(1)
XVII. Aromatic compounds
(2)
76. Benzene
(1)
77. Electrophilic substitution
(1)
XVIII. Organic nitrogen compounds
(3)
78. Structure and properties of amines
(1)
79. Amines and amides: reactions and preparation
(1)
80. Amino acids
(1)
XIX. Biologically important chemical compounds
(2)
81. Lipids and carbohydrates
(1)
82. Proteins and nucleic acids
(1)
XX. Polymers
(2)
83. Types of polymers. Addition of polymers
(1)
84. Polycondensates
(1)
XXI. General topics in organic chemistry
(5)
85. Organic molecules
(1)
86. Nomenclature of organic compounds
(1)
87. Isomerism
(1)
88. Organic reactions
(1)
89. Analytical tests in organic chemistry
(1)
XXII. Spectrometric methods
(8)
90. Infrared spectrometry. Part I.
(1)
91. Infrared spectrometry. Part II.
(1)
92. Mass spectrometry. Part I.
(1)
93. Mass spectrometry. Part II.
(1)
94. Nuclear magnetic resonance (NMR) spectroscopy. Part I.
(1)
95. Nuclear magnetic resonance (NMR) spectroscopy. Part II.
(1)
96. Molecular structure determination
(1)
97. Absorption of visible light. Colorimetry
(1)
XXIII. Environmental pollution by chemical products
(3)
98. Air pollution
(1)
99. Water pollution
(1)
100. Soil pollution
(1)
Mathematics
(114)
I. Numbers. Part I.
(1)
1. Irrational numbers
(1)
II. Quadratic functions
(6)
2. Quadratic functions, graphs
(1)
3. Decomposition of quadratic functions into a product
(1)
4. Quadratic equations
(1)
5. Systems of equations
(1)
6. Inequalities
(1)
7. Quadratic inequalities
(1)
III. Polynomials
(6)
8. Polynomials
(1)
9. Algebraic adjustments of polynomials
(1)
10. Division of polynomials
(1)
11. Theorems about division with a remainder
(1)
12. Decomposition of polynomials
(1)
13. Decomposition and roots of polynomials
(1)
IV. Graphs of polynomials
(6)
14. Sketch of graphs
(1)
15. Graphical solution of equations. Part I.
(1)
16. Graphical solution of equations. Part II.
(1)
17. Graphical solution of inequalities. Part I.
(1)
18. Graphical solution of inequalities. Part II.
(1)
19. Shifts and graphs
(1)
V. Analytic geometry. Part I.
(7)
20. Equation of a straight line
(1)
21. Parallel and perpendicular lines
(1)
22. Analytical geometry of a circle
(1)
23. Tangent
(1)
24. Normal
(1)
25. Common points. Part I.
(1)
26. Common points. Part II.
(1)
VI. Differential calculus. Part I.
(9)
27. Derivation
(1)
28. Derivation of simple functions
(1)
29. Derivation of polynomial functions
(1)
30. Search for guidelines, tangents and norms
(1)
31. Monotony
(1)
32. Local extremes, stationary points, inflection points
(1)
33. Finding local extremes
(1)
34. Finding maximum and minimum values
(1)
35. Derivatives of the second order
(1)
VII. Integral calculus. Part I.
(4)
36. Primitive function
(1)
37. Integration
(1)
38. Definite integral
(1)
39. Area under the curve
(1)
VIII. Numbers. Part II.
(1)
40. Rules for powers with rational exponents
(1)
IX. Transformations of graphs
(2)
41. Transformation of graphs. Part I.
(1)
42. Transformation of graphs. Part II.
(1)
X. Sequences and series
(7)
43. Sequences
(1)
44. Arithmetic sequence
(1)
45. Arithmetic series
(1)
46. Geometric sequence
(1)
47. Geometric series
(1)
48. Infinite convergent geometric series
(1)
49. Binomial development
(1)
XI. Trigonometry. Part I.
(10)
50. Measuring the length of the curve
(1)
51. Angles in general, sizes of angles
(1)
52. Basic trigonometric functions
(1)
53. Graphs of trigonometric functions
(1)
54. Simple trigonometric equations
(1)
55. Solving simple trigonometric equations
(1)
56. Content of a triangle
(1)
57. The sine theorem
(1)
58. Cosine theorem
(1)
59. Measuring a circle
(1)
XII. Exponential and logarithmic functions
(4)
60. Exponential functions
(1)
61. Logarithm
(1)
62. Basic exponential equations
(1)
63. Exponential inequalities
(1)
XIII. Differential calculus. Part II.
(1)
64. Derivatives of powers with a rational exponent
(1)
XIV. Integral calculus. Part II.
(2)
65. Integrals of powers with a rational exponent
(1)
66. Estimation of the area under the curve
(1)
XV. Functions
(5)
67. Functions – basic terms
(1)
68. Composite functions
(1)
69. Inverse function
(1)
70. Functions with absolute value
(1)
71. Transformation of graphs
(1)
XVI. Trigonometry. Part II.
(3)
72. Inverse trigonometric functions
(1)
73. Other trigonometric functions
(1)
74. Relationships between trigonometric functions
(1)
XVII. Exponential and logarithmic functions
(2)
75. Natural exponential function
(1)
76. Natural logarithmic function
(1)
XVIII. Differential calculus. Part III.
(4)
77. Derivatives of exponential and logarithmic functions
(1)
78. Derivatives of trigonometric functions
(1)
79. Derivation rules. Part I.
(1)
80. Derivation rules. Part II.
(1)
XIX. Integral calculus. Part III.
(4)
81. Integrating selected functions
(1)
82. Methods of integration. Part I.
(1)
83. Methods of integration. Part II.
(1)
84. Volumes of rotating bodies
(1)
XX. Numerical methods
(4)
85. Zero points of a function
(1)
86. Approximate solution of equations
(1)
87. Numerical integration – rectangular method
(1)
88. Numerical integration – Simpson's method
(1)
XXI. Rational functions
(4)
89. Rational expressions
(1)
90. Rational functions
(1)
91. Algebraic division
(1)
92. Partial fractions
(1)
XXII. Analytic geometry. Part II.
(2)
93. Equations of curves
(1)
94. Parametric equations of curves
(1)
XXIII. Sequences and series
(2)
95. Binomial series
(1)
96. Development of rational functions
(1)
XXIV. Trigonometry. Part III.
(3)
97. Trigonometric functions of sum and difference of angles. Part I.
(1)
98. Trigonometric functions of sum and difference of angles. Part II.
(1)
99. Formulas for a double angle
(1)
XXV. Exponential and logarithmic functions
(1)
100. Exponential growth and decline
(1)
XXVI. Differential and integral calculus
(6)
101. Differential equations
(1)
102. Equations with separated variables
(1)
103. Derivation of an implicitly determined function
(1)
104. Derivation of a parametrically specified function
(1)
105. Tangents and normals of implicitly and parametrically specified curves
(1)
106. Integration using partial fractions
(1)
XXVII. Vectors
(8)
107. Vectors
(1)
108. Operations with vectors
(1)
109. Position vectors
(1)
110. Vector equations of straight lines in a plane
(1)
111. Parametric expression of straight lines in space
(1)
112. Scalar product. Part I.
(1)
113. Scalar product. Part II.
(1)
114. Distance of a point from a straight line
(1)
Physics
(119)
I. Statics
(5)
1. Forces
(1)
2. Combining forces
(1)
3. Moment of power
(1)
4. Balance
(1)
5. Forces and moments of forces in building constructions
(1)
II. Kinematics
(6)
6. Even movement
(1)
7. Accelerated movement
(1)
8. Track during accelerated movement
(1)
9. Description of motion using vectors
(1)
10. Movement in a circle
(1)
11. Movement of the projectile
(1)
III. Dynamics
(6)
12. The first and third laws of motion
(1)
13. Momentum
(1)
14. Newton's second law of motion
(1)
15. Forces during curvilinear motion
(1)
16. Friction
(1)
17. Air resistance
(1)
IV. Energy
(6)
18. Work and energy
(1)
19. Potential and kinetic energy
(1)
20. Internal energy
(1)
21. Performance
(1)
22. Precipitation
(1)
23. Simple machines
(1)
V. Rotating motion
(4)
24. Angular velocity and angular acceleration
(1)
25. Newton's second law of motion for rotational motion
(1)
26. Moment of momentum
(1)
27. Energy of rotary motion
(1)
VI. Gravitational field
(5)
28. Gravitational force
(1)
29. Gravitational acceleration
(1)
30. Potential energy
(1)
31. Gravitational potential
(1)
32. Satellites
(1)
VII. Matter
(6)
33. Density
(1)
34. Mechanical tension
(1)
35. Hooke's law
(1)
36. Temperature
(1)
37. Heat transfer
(1)
38. Forms of substance
(1)
VIII. Fluid mechanics
(6)
39. Hydrostatic pressure
(1)
40. Atmospheric pressure
(1)
41. Pascal's law
(1)
42. Archimedes' law
(1)
43. Bernoulli's equation
(1)
44. Movement of bodies in liquid
(1)
IX. Gas laws
(5)
45. Happens in gases
(1)
46. Equation of state of an ideal gas
(1)
47. Kinetic theory of gases
(1)
48. Molar heat capacity of gas
(1)
49. Adiabatic process
(1)
X. Thermodynamics
(5)
50. The first law of thermodynamics
(1)
51. Heat engine
(1)
52. Specific heat capacity
(1)
53. Heat sources
(1)
54. Second law of thermodynamics
(1)
XI. Electrostatics
(5)
55. Coulomb's law
(1)
56. Electric field
(1)
57. Potential
(1)
58. Capacitor capacity
(1)
59. Capacitors
(1)
XII. Direct current
(5)
60. Electric current
(1)
61. Electrical resistance
(1)
62. Resistors
(1)
63. Electromotive voltage
(1)
64. Work and power of electric current
(1)
XIII. Magnetism
(5)
65. Magnetic field
(1)
66. Magnetic field around current conductors
(1)
67. Electromagnetic force
(1)
68. Use of electromagnetic forces
(1)
69. Movement of a charge in a magnetic field
(1)
XIV. AC
(5)
70. Phenomenon of electromagnetic induction
(1)
71. Generator and alternating current
(1)
72. Transformer
(1)
73. Transmission of electrical energy
(1)
74. Electric current in the home
(1)
XV. Electronics
(4)
75. Electronics
(1)
76. Light and current
(1)
77. Transistors and bridges
(1)
78. Digital systems
(1)
XVI. Harmonic movement
(4)
79. Oscillation
(1)
80. Pendulum
(1)
81. Energy of oscillatory motion
(1)
82. Resonance
(1)
XVII. Mechanical waves
(6)
83. Mechanical undulation
(1)
84. Reflection and refraction of waves
(1)
85. Bending and interference of mechanical waves
(1)
86. Oscillation of the spring
(1)
87. Wave intensity
(1)
88. Doppler phenomenon
(1)
XVIII. Electromagnetic waves
(5)
89. Electromagnetic waves
(1)
90. Wave bending and interference
(1)
91. Wave polarization
(1)
92. Use of waves in communication
(1)
93. Signal coding
(1)
XIX. Optics
(5)
94. Reflection and refraction of light
(1)
95. Spherical mirrors
(1)
96. Lenses
(1)
97. Optical instruments
(1)
98. Eye
(1)
XX. Atomic physics
(6)
99. Radiation of bodies
(1)
100. External photoelectric phenomenon
(1)
101. Emission and absorption spectrum
(1)
102. Energy states of an electron in an atom
(1)
103. X-ray radiation
(1)
104. Waves and particles
(1)
XXI. Nuclear Physics
(7)
105. Structure of atomic nuclei
(1)
106. Radioactive radiation
(1)
107. Law of radioactive decay
(1)
108. Stability of nuclei
(1)
109. Nuclear synthesis
(1)
110. Nuclear fission
(1)
111. Elementary particles
(1)
XXII. Astrophysics
(4)
112. Solar system
(1)
113. Classification of stars
(1)
114. Evolution of stars
(1)
115. Galaxies
(1)
XXIII. Theory of relativity
(4)
116. Speed of light
(1)
117. Time and length
(1)
118. Mass, energy and momentum
(1)
119. General theory of relativity
(1)
Primary School – Part 1
(209)
Mathematics
(129)
I. Use and application of mathematics. Part I.
(3)
1. Solving word problems
(1)
2. Practical application of simple mathematical operations
(1)
3. Explain and justify
(1)
II. Numbers and number systems. Part I.
(10)
4. Arrangement of decimal numbers
(1)
5. Fractions, ordering of fractions
(1)
6. Conversion of fractions to decimals and percentages
(1)
7. Negative numbers
(1)
8. Multiples, factors and powers
(1)
9. Triangular and square numbers
(1)
10. Rounding numbers
(1)
11. Ratio and proportion
(1)
12. Written calculations
(1)
13. Calculations using a calculator
(1)
III. Algebra. Part I.
(8)
14. Writing algebraic expressions
(1)
15. Simple operations with algebraic expressions
(1)
16. Members of the same degree
(1)
17. Simple linear equations
(1)
18. Substitution into formulas
(1)
19. Sequences
(1)
20. What is a function?
(1)
21. Graph a linear function
(1)
IV. Space, figures and measures. Part I.
(11)
22. Lines and angles
(1)
23. Relative positions of lines, interior angles of a triangle
(1)
24. Properties of figures
(1)
25. Views
(1)
26. Angles in plane figures
(1)
27. Diameters
(1)
28. Angles in solid figures
(1)
29. Coordinates
(1)
30. Measurements
(1)
31. Contents of rectangles
(1)
32. Surface
(1)
V. Statistics. Part I.
(7)
33. Planning and data collection
(1)
34. Data evaluation
(1)
35. Means
(1)
36. Data comparison
(1)
37. IT and data processing
(1)
38. Basic concepts of probability
(1)
39. Probability of phenomena in simple experiments
(1)
VI. Use and application of mathematics. Part II.
(3)
40. Solving word problems
(1)
41. Practical application of simple mathematical operations
(1)
42. Use of ICT in calculations
(1)
VII. Numbers and number systems. Part II.
(14)
43. Multiplication and division by 0.1 and 0.01
(1)
44. Arranging decimal numbers on the number line
(1)
45. Rounding numbers
(1)
46. Numbers
(1)
47. Multiples, factors and powers
(1)
48. Squares and square roots, third powers and square roots
(1)
49. Periodic decimals
(1)
50. Addition and subtraction of fractions
(1)
51. Multiplying and dividing whole numbers by fractions
(1)
52. Percents
(1)
53. Ratio and proportion
(1)
54. Calculations by reasoning
(1)
55. Written calculations
(1)
56. Calculations using a calculator
(1)
VIII. Algebra. Part II.
(10)
57. Expressions and equations with an unknown
(1)
58. Modifying algebraic expressions
(1)
59. Simple linear equations
(1)
60. Graphical solution of equations
(1)
61. Calculations using formulas
(1)
62. Notation of simple sequences
(1)
63. Several sequences
(1)
64. Nth member of a sequence
(1)
65. Reading from graphs of linear functions
(1)
66. Linear functions and their graphs in real life
(1)
IX. Space, figures and measures. Part II.
(12)
67. Angles in triangles and quadrilaterals
(1)
68. Angles in simple polygons
(1)
69. Symmetry and congruence
(1)
70. Diameters
(1)
71. Views
(1)
72. Coordinates of the centres of the line segments
(1)
73. Properties of plane figures
(1)
74. Constructions with ruler and compass
(1)
75. Drawing simple figures using IT
(1)
76. Measurements in real life
(1)
77. Contents of polygons
(1)
78. Surface and volume of blocks
(1)
X. Statistics. Part II.
(5)
79. Data processing
(1)
80. Data presentation
(1)
81. Comparison of two simple statistical files
(1)
82. Concepts related to probability
(1)
83. Random experiments
(1)
XI. Use and application of mathematics. Part III.
(3)
84. Solving word problems
(1)
85. Practical application of simple mathematical operations
(1)
86. Explain and justify
(1)
XII. Numbers and number systems. Part III.
(10)
87. Positional number system
(1)
88. Rounding to decimal places
(1)
89. Multiples, factors and powers
(1)
90. Counting with periodic decimals
(1)
91. Operations with fractions
(1)
92. Percentages
(1)
93. Ratio and proportion
(1)
94. Calculations by reasoning
(1)
95. Written calculations
(1)
96. Calculations using a calculator
(1)
XIII. Algebra. Part III.
(11)
97. Letters as symbols in equations, formulas and functions
(1)
98. Simple examples of rules for counting with powers
(1)
99. Modifying algebraic expressions
(1)
100. Setting up and solving linear equations
(1)
101. Modifying equations
(1)
102. Working with functions
(1)
103. The general term of a sequence
(1)
104. Expression of the nth term
(1)
105. Linear functions
(1)
106. Graphs and functions
(1)
107. Graphs
(1)
XIV. Space, figures and measures. Part III.
(15)
108. Interior and exterior angles in polygons
(1)
109. Problems involving properties of angles and parallel lines
(1)
110. Symmetry and congruence
(1)
111. Properties of the circle
(1)
112. Networks of solids
(1)
113. Views
(1)
114. Equidistance
(1)
115. Drawing with scale
(1)
116. Constructing with ruler and compass
(1)
117. Point image
(1)
118. Unit transformations
(1)
119. Contents of rectangles
(1)
120. Perimeter of a circle
(1)
121. Contents of a circle
(1)
122. Surface area and volume of regular polyhedra
(1)
XV. Statistics. Part III.
(7)
123. Interpretation of collected data
(1)
124. Use of secondary data
(1)
125. Finding relationships between data
(1)
126. Comparing two simple distributions using tables
(1)
127 Presenting and interpreting a statistical survey
(1)
128. Using concepts relating to probability
(1)
129. Experimental and theoretical probabilities
(1)
Science
(80)
I. Life processes and functions of the cell
(5)
1. Animal and plant cells
(1)
2. Organs of flowering plants
(1)
3. Specialised cells
(1)
4. Human organ systems
(1)
5. Life processes
(1)
II. Humans as organisms
(12)
6. Nutrition: a balanced diet
(1)
7. Cellular respiration
(1)
8. Medicines, drugs and health
(1)
9. Fighting disease
(1)
10. Digestion
(1)
11. Absorption and metabolic wastes
(1)
12. Skeleton and movement
(1)
13. Adolescence
(1)
14. Human reproduction
(1)
15. Fetal development
(1)
16. Respiration
(1)
17. Smoking
(1)
III. Green plants as organisms
(4)
18. Plant nutrition
(1)
19. Factors affecting photosynthesis
(1)
20. Plant growth
(1)
21. Plant respiration
(1)
IV. Diversity, classification and inheritance
(2)
22. Variability
(1)
23. Causes of variability
(1)
IV. Diversity, classification and heritability
(2)
24. Classification of organisms
(1)
25. Heredity
(1)
V. Living organisms in their environment
(6)
26. Sustainable development
(1)
27. Habitats
(1)
28. Adaptation
(1)
29. Survival
(1)
30. Food chains
(1)
31. Food web
(1)
VI. Grouping and sorting of substances
(10)
32. Solids, liquids and gases
(1)
33. Separation of components of mixtures
(1)
34. Particle theory
(1)
35. Physical changes
(1)
36. Elements
(1)
37. Properties of metals
(1)
38. Properties of non-metals
(1)
39. Compounds
(1)
40. Nomenclature of compounds
(1)
41. Compounds
(1)
VII. Transformation of substances
(2)
42. Physical changes in substances
(1)
43. Solutions
(1)
VII. Conversion of substances
(4)
44. Geological changes: weathering
(1)
45. Formation of rocks
(1)
46. Chemical reactions
(1)
47. Effects of combustion
(1)
VIII. Models of behaviour
(5)
48. Reactivity of metals
(1)
49. Substitution reactions
(1)
50. Acids and bases
(1)
51. Reactions with acids
(1)
52. Neutralization
(1)
IX. Electricity
(5)
53. Electrical circuits
(1)
54. Serial and parallel circuits
(1)
55. Electric current
(1)
56. Magnets
(1)
57. Electromagnets
(1)
X. Forces and motion
(2)
58. Speed
(1)
59. Gravity
(1)
X. Forces and movement
(5)
60. Force, balance of forces
(1)
61. Friction
(1)
62. Force and rotation
(1)
63. Moment of force
(1)
64. Pressure
(1)
XI. Light and sound
(6)
65. Light
(1)
66. Reflection
(1)
67. Refraction of light
(1)
68. Colour
(1)
69. Sound
(1)
70. Hearing
(1)
XII. Our Earth and surrounding planets
(1)
71. Movement of the Earth
(1)
XII. Our Earth and the surrounding planets
(3)
72. Solar system
(1)
73. The Sun
(1)
74. Satellites
(1)
XIII. Energy sources and energy transfer
(6)
75. Energy
(1)
76. Energy sources
(1)
77. Electricity generation
(1)
78. Heat and temperature
(1)
79. Energy transmission
(1)
80. Conservation of energy
(1)
Lower Primary Math (mLPM)
(849)
Level 1A
(134)
1. Numbers 0-5
(25)
1.01 Recognising numbers 1-5
(3)
1.02 Numbers 0 and 1
(3)
1.03 Number 2
(3)
1.04 Number 3
(3)
1.05 Number 4
(3)
1.06 Number 5
(3)
1.07 Decompositions
(3)
1.08 Open questions and practice
(3)
1.09 Brain-teasers
(1)
2. Addition and subtraction
(22)
2.01 Addition notation
(3)
2.02 Addition practice
(3)
2.03 Subtraction notation
(3)
2.04 Subtraction practice
(3)
2.05 Adding and subtracting
(3)
2.06 Adding and subtracting
(3)
2.07 Open questions and practice
(3)
2.08 Brain-teasers
(1)
3. Numbers 6-9, addition and subtraction
(40)
3.01 Number 6
(3)
3.02 Application and practice
(3)
3.03 Three addends
(3)
3.04 Number 7
(3)
3.05 Application and practice
(3)
3.06 Commutative law of addiction
(3)
3.07 Number 8
(3)
3.08 Application and practice
(3)
3.09 Number 9
(3)
3.10 Application and practice
(3)
3.11 The latter addend is missing
(3)
3.12 The first addend is missing
(3)
3.13 Open questions and practice
(3)
3.14 Brain-teasers
(1)
4. Numbers 10-16
(25)
4.01 Number 10
(3)
4.02 Comparing and ordering
(3)
4.03 Money
(3)
4.04 Application
(3)
4.05 Numbers 11, 12 and 13
(3)
4.06 Numbers 14, 15 and 16
(3)
4.07 Application and practice
(3)
4.08 Open questions and practice
(3)
4.09 Brain-teasers
(1)
5. Numbers 17-20, addition and subtracion
(22)
5.01 Numbers 17, 18 and 19
(3)
5.02. Number 20
(3)
5.03. Number sequence
(3)
5.04. Application and practice
(3)
5.05. Application
(3)
5.06. Application and practice
(3)
5.07. Open questions and practice
(3)
5.08. Brain-teasers
(1)
Level 1B
(146)
1. Adding and subtracting with numbers 0-20
(28)
1.01 Revision and practice
(3)
1.02 Application and practice
(3)
1.03 Even and odd numbers
(3)
1.04 Application and practice
(3)
1.05 A two-digit subtrahend
(3)
1.06 A two-digit subtrahend
(3)
1.07 Notebook calculations
(3)
1.08. Problem solving – Foundation
(3)
1.09. Open questions and practice
(3)
1.10. Brain-teasers
(1)
2. Adding past ten
(28)
2.01 Adding past ten
(3)
2.02 Adding to 9 and 8
(3)
2.03 Adding to 7, 6 and 5
(3)
2.04 Application
(3)
2.05 Application and practice
(3)
2.06. Application and practice
(3)
2.07. Application and practice
(3)
2.08. Problem solving
(3)
2.09. Open questions and answers
(3)
2.10 Brain-teasers
(1)
3. Subtracting past ten
(28)
3.01 Subtracting past ten
(3)
3.02 Subtracting from 11 and 12
(3)
3.03 Subtracting from 13 and 14
(3)
3.04 Application and practice
(3)
3.05 Subtracting from 15, 16, 17 and 18
(3)
3.06 Connection between addition and subtraction
(3)
3.07 Missing minuend or subtrahend
(3)
3.08 Problem solving
(3)
3.09 Open questions and practice
(3)
3.10. Brain-teasers
(1)
4. Geometry and measuring
(22)
4.01 Classifying solids
(3)
4.02 Plane shapes
(3)
4.03 Circle, triangle and quadrilateral
(3)
4.04 Measuring
(3)
4.05 Centimetres
(3)
4.06 Metres
(3)
4.07 Open questions and measuring
(3)
4.08 Brain-teasers
(1)
6. Time
(1)
6.01 Time
(1)
5. Numbers 0-100
(39)
5.01 Numbers 0-50
(3)
5.02 Comparing and ordering numbers 0-50
(3)
5.03 Adding a one-digit number in number field 0-50
(3)
5.04 Subtracting a one-digit number in number field 0-50
(3)
5.05 Numbers 50-100
(3)
5.06 Euros, cents and the hundred square grid
(3)
5.07 Comparing and ordering numbers
(3)
5.08 Adding a one-digit number
(3)
5.09 Subtracting a one-digit number
(3)
5.10 Adding full tens
(3)
5.11 Subtracting full tens
(3)
5.12 Problem solving
(3)
5.13 Open questions and practice
(2)
5.14 Brain-teasers
(1)
Level 2A
(141)
1. Revision and application
(28)
1.01. Adding past ten
(3)
1.02. Adding past ten
(3)
1.03. Notebook calculations
(3)
1.04. Subtracting past ten
(3)
1.05. Subtracting past ten
(3)
1.06. Numbers 0–100, comparing
(3)
1.07. Adding and subtracting a one-digit number
(3)
1.08. Problem solving, practice
(3)
1.09. Open questions and practice
(3)
1.10. Brain-teasers
(1)
2. Addition and subtraction, numbers 0-100
(29)
2.01. Adding past whole tens, number field 20-100
(3)
2.02. Subtracting past whole tens, number field 20-100
(3)
2.03. Application and practice
(3)
2.04. Sum and difference
(3)
2.05. Adding and subtracting tens
(3)
2.06. Adding a two-digit number
(3)
2.07. Subtracting a two-digit number
(3)
2.08. Application and practice
(3)
2.09. Open questions and practice
(3)
2.10. Brain-teasers
(1)
2.11. Optional exercises
(1)
3. Multiplication
(44)
3.01. Preparing for multiplication
(3)
3.02. Connection between multiplication and addition
(3)
3.03. The two times table
(3)
3.04. The five times table
(3)
3.05. Practice and application
(3)
3.06. Commutative law of multiplication
(3)
3.07. The three times table
(3)
3.08. Practice and application
(3)
3.09. The four times table
(3)
3.10. Practice and application
(3)
3.11. Order of operations
(3)
3.12. Practice and application
(3)
3.13. Numbers 0 and 1 in multiplication
(3)
3.14. Open questions and practice
(3)
3.15. Brain-teasers
(1)
3.16. Optional exercises
(1)
4. Numbers 0-1000, addition and subtraction
(37)
4.01. Three-digit numbers
(3)
4.02. Zero as a place value
(3)
4.03. Number line 0-1000
(3)
4.04. Number line 0-1000
(3)
4.05. Comparing numbers
(3)
4.06. Adding a one-digit number
(3)
4.07. Subtracting a one-digit number
(3)
4.08. Adding and subtracting whole tens
(3)
4.09. Adding and subtracting whole hundreds
(3)
4.10. Adding and subtracting whole tens
(3)
4.11. Practice and application
(3)
4.12. Open exercises and practice
(3)
4.13. Brain-teasers
(1)
5. Time
(3)
5.01. Year, month, day
(1)
5.02. Telling the time
(1)
5.03. Practice and application
(1)
Level 2B
(129)
1. Addition in columns
(28)
1.01. Addition in columns
(3)
1.02. Addition in columns
(3)
1.03. Carrying to the tens
(3)
1.04. Notebook calculations
(3)
1.05. Application and practice
(3)
1.06. Carrying to the hundreds
(3)
1.07. Carrying in succession
(3)
1.08. Application and practice
(3)
1.09 Open questions and practice
(3)
1.10. Brain-teasers
(1)
2. Subtraction in columns
(28)
2.01. Subtraction in columns
(3)
2.02. Exchanging a ten
(3)
2.03. Exchanging a hundred
(3)
2.04. Application
(3)
2.05. Exchanging in succession
(3)
2.06. Application
(3)
2.07. Two operations in a row
(3)
2.08. Application and practice
(3)
2.09. Open questions and practice
(3)
2.10. Brain-teasers
(1)
3. Geometry
(28)
3.01. Perceiving things from different angles
(3)
3.02. Solids
(3)
3.03. Point, line segment, line and angle
(3)
3.04. Polygons
(3)
3.05. Perception
(3)
3.06. Perception
(3)
3.07. Mirror images
(3)
3.08. Symmetry
(3)
3.09. Open questions and perception
(3)
3.10. Brain-teasers
(1)
4. Measuring and estimating
(37)
4.01. Monetary units, euros and cents
(3)
4.02. Application
(3)
4.03. Measuring length
(3)
4.04. Measuring in centimetres
(3)
4.05. Units of measurement, metres and centimetres
(3)
4.06. Writing lengths in two ways
(3)
4.07. Application
(3)
4.08. Units of mass, grams
(3)
4.09. Units of mass, kilograms
(3)
4.10. Units of volume, litres and decilitres
(3)
4.11. Application
(3)
4.12. Open questions and practice
(3)
4.13. Brain-teasers
(1)
5. Revision
(8)
5.01. Revising multiplication
(1)
5.02. Application and practice on multiplication
(1)
5.03. Revising mental arithmetic
(1)
5.04. Revising calculating in columns
(1)
5.05. Revising units of measurement
(1)
5.06. Perception
(1)
5.07. Information search and problem solving
(1)
5.08. Problem solving
(1)
Level 3A
(148)
1. The 2-9 times table
(49)
1.01. Concept of multiplication
(3)
1.02. Revising the 2 and 5 times tables
(3)
1.03. Revising the 3 and 4 times tables
(3)
1.04. Order of operations
(3)
1.05. The 6 times table
(3)
1.06. Application and practice
(3)
1.07. Application and practice
(3)
1.08. The 7 times table
(3)
1.09. Application and practice
(3)
1.10. Practice and application
(3)
1.11. The 8 times table
(3)
1.12. Application and practice
(3)
1.13. Application and practice
(3)
1.14. The 9 times table
(3)
1.15. Practice
(3)
1.16. Open questions and practice
(3)
1.17. Brain-teasers
(1)
2. Division
(40)
2.01 Division
(3)
2.02. Division notation
(3)
2.03. The connection between division and multiplication
(3)
2.04. Use of multiplication to assist division
(3)
2.05. Application and practice
(3)
2.06. Application and practice
(3)
2.07. Divisors 6 and 7
(3)
2.08. Divisors 8 and 9
(3)
2.09. Order of operations
(3)
2.10. Application and practice
(3)
2.11. Division terms and the remainder
(3)
2.12. Numbers 0 and 1 in division
(3)
2.13. Open questions, reasoning
(3)
2.14. Brain-teasers
(1)
3. Addition and subtraction
(31)
3.01. Sum, difference, adding and subtracting a one-digit number
(3)
3.02. Adding and subtracting a two-digit number
(3)
3.03. Adding two-digit numbers
(3)
3.04. Subtracting two-digit numbers
(3)
3.05. Application to money
(3)
3.06. Carrying in addition
(3)
3.07. Exchanging in subtraction
(3)
3.08. Exchanging in succession
(3)
3.09. Exchanging past a zero
(3)
3.10. Open questions and brain-teasers
(3)
3.11. Brain-teasers
(1)
4. Geometry
(22)
4.01. Perceiving from different directions
(3)
4.02. Solids
(3)
4.03. Plane geometrical concepts
(3)
4.04. Quadrilaterals
(3)
4.05. Perimeter of a polygon
(3)
4.06. Symmetry
(3)
4.07. Open questions, brain-teasers
(3)
4.08. Brain teasers
(1)
5. Revision
(6)
5.01. Revising multiplication
(1)
5.02. Revising multiplication
(1)
5.03. Revising division, divisors 2–5
(1)
5.04. Revising division, divisors 6–9
(1)
5.05. Revising addition and subtraction
(1)
5.06. Optional notebook work
(1)
Level 3B
(151)
1. Multiplying in colums
(25)
1.01.Mental multiplication
(3)
1.02. Multiplying in columns
(3)
1.03. Carrying in multiplication
(3)
1.04. Order of operations, application
(3)
1.05. Carrying two numbers in multiplication
(3)
1.06. Practice and application
(3)
1.07. Addition, subtraction and multiplication in columns
(3)
1.08. Open questions and brain-teasers
(3)
1.09. Brain-teasers
(1)
2. Fractions and decimals
(43)
2.01 Division into equal parts
(3)
2.02. Fraction notation
(3)
2.03. One whole as a fraction
(3)
2.04. Application
(3)
2.05. Comparing fractions
(3)
2.06. Mixed numbers
(3)
2.07. Fractions on a number line
(3)
2.08. Decimals, tenths
(3)
2.09. Decimals on a number line
(3)
2.10. Comparing decimals
(3)
2.11. Application
(3)
2.12. Hundredths in a decimal
(3)
2.13. Euros and cents
(3)
2.14. Open questions and brain-teasers
(3)
2.15. Brain-teasers
(1)
3. Expanding the number field to 9999
(37)
3.01. Numbers 0-9999
(3)
3.02. Number line
(3)
3.03. Number line
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70. Genetic diseases (1)
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77. Evolutionary laws and the origin of species (1)
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79. Evolution of man (1)
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80. The growth of bacteria (1)
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83. Industrial uses of bacteria (1)
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86. Genetic modification of organisms (1)
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87. The individual and the population (1)
88. Competition. Predation (1)
89. Symbiosis (1)
90. Life on land (1)
91. Life in water (1)
92. Adaptation of organisms to their environment (1)
93. Different ways mammals eat (1)
94. Man and the environment (1)
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51. Transitional elements (1)
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54. Electrochemical cells (1)
XIII. Chemical reactions (3)
63. Endothermic and exothermic reactions (1)
64. Reversible reactions and chemical equilibrium (1)
66. Factors affecting the rate of a chemical reaction (1)
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77. Industrial use of limestone (1)
78. Sulfur and sulfuric acid (1)
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80. Ammonia and nitric acid (1)
81. Industrial fertilizers (1)
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88. Movements of lithospheric plates, earthquakes and volcanoes (1)
92. Metamorphosed rocks and the rock cycle (1)
XIX. Laboratory methods and analytical tests (4)
95. Handling of liquids (1)
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98. Evidence reactions of ions (1)
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Mathematics (137)
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33. Problem solving (1)
34. Assumptions of the problems (1)
VI. Sets (1)
35. Quantities (1)
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36. Task specification (1)
37. Sample selection (1)
38. Data display (1)
39. Position characteristics – arithmetic mean (1)
40. Position characteristics – modus, median (1)
41. Measures of dispersion (1) (1)
42. Measures of dispersion (2) (1)
43. Cumulative abundance curve (1)
44. Coefficient of skewness (1)
45. Case study. Part I. (1)
46. Case study. Part II. (1)
VIII. Geometry – Pythagorean Theorem (5)
47. The Pythagorean Theorem (1)
48. Using the Pythagorean Theorem in the plane (1)
49. Application of the Pythagorean theorem in space (1)
50. Construction using ruler and compass, sets of points. Part I. (1)
51. Construction with ruler and compass, sets of points. Part II. (1)
IX. The circle (1)
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53. Theorems about the circle (1)
IX. Circular (6)
54. Perimeter and central angles (1)
55. Equation of a circle (1)
56. Relative position of two circles (1)
57. Relative position of a line and a circle (1)
58. Inscribed and described circles (1)
59. Problems about circles (1)
X. Percentages (3)
60. Percentages (1)
61. Solving problems with percents (1)
62. Percentages in practice (1)
XI. Sequences (2)
63. Finding sequences (1)
64. nth member of a sequence (1)
XII. Ratio and Proportion (5)
65. Ratios (1)
66. Proportion (1)
67. Direct proportionality (1)
68. Indirect proportionality (1)
69. Various examples (1)
XIII. Trigonometry. Part I. (7)
70. Acute angle goniometry (1)
71. Solving problems using goniometric functions (1)
72. Goniometry of a general angle (1)
73. Properties of goniometric functions. Part I. (1)
74. Properties of goniometric functions. Part II. (1)
75. Graphs of goniometric functions (1)
76. Using a graphing calculator (1)
XIV. Probability (9)
77. Random events (1)
78. Combinatorial problems (1)
79. The classical concept of probability. Part I. (1)
80. Classical concept of probability. Part II. (1)
81. The set of possible outcomes (1)
82. Mutually exclusive events (1)
83. Independent events (1) (1)
84. Independent events (2) (1)
85. Solving simple probability problems (1)
XV. Graphs of various functions (2)
86. A function and its graph (1)
87. Equation of a line (1)
XV. Graphs of different functions (5)
88. Linear function (1)
89. Quadratic function. Part I. (1)
90. Quadratic function. Part II. (1)
91. Other functions (1)
92. Graphs and real-life situations (1)
XVI. Distances in plane and space (9)
93. Measurement. Part I. (1)
94. Measurement. Part II. (1)
95. Contents of plane figures. Part I. (1)
96. Contents of plane figures. Part II. (1)
97. Volume and surface of a prism (1)
98. Volume and surface of an ihedron (1)
99. Volume and surface area of cylinder and sphere (1)
100. Volume and surface area of a cone (1)
101. Volumes of similar solids (1)
XVII. Solution of equations (10)
102. Linear equations, solution of linear equations (1)
103. Solution of systems of linear equations. Part I. (1)
104. Solution of systems of linear equations. Part II. (1)
105. Solving problems using systems of equations (1)
106. Solution of quadratic equations (1)
107. Formula for solving quadratic equations (1)
108. Solving problems using quadratic equations. Part I. (1)
109. Solving problems using quadratic equations. Part II. (1)
110. Solving equations by trial and error. Part I. (1)
111. Solution of equations by trial and error. Part II. (1)
XVIII. Algebraic fractions. Part II. (2)
112. Inequalities. Part I. (1)
113. Inequalities. Part II. (1)
XIX. Numbers. Part II. (2)
114. Powers, square roots and exponents (1)
115. Irrational numbers (1)
XX. Vectors (4)
116. Vectors (1)
117. Operations with vectors (1)
118. Multiplication of a vector by a real number (1)
119. Using vectors (1)
XXI. Correlation and regression (5)
120. Sampling methods (1)
121. Regression line (1)
122. Correlation (1)
123. Analysis and comparison of data sets (1)
124. The use of probability in the analysis of random events (1)
XXII. Trigonometry. Part II. (5)
125. Goniometric equations. Part I. (1)
126. Goniometric equations. Part II. (1)
127. The sine theorem for the content of a triangle (1)
128. Solving problems using goniometric equations (1)
129. Pythagorean theorem and trigonometry in space (1)
XXIII. Transformations of graphs (2)
130. Transformations of graphs of various functions (1)
131. Transformations of graphs of goniometric functions. Part I. (1)
XXIII. Graph transformations (6)
132. Transformations of graphs of goniometric functions. Part II. (1)
133. The use of graphs. Part I. (1)
134. Use of graphs. Part II. (1)
135. Simple geometric figures (1)
136. Area under a curve (1)
137. tangents to graphs (1)
Physics (111)
I. Forces (6)
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4. Moment of force (1)
5. Balance (1)
6. Levers and pulleys (1)
II. Movement (5)
7. Displacement, trajectory and speed (1)
8. Acceleration (1)
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11. Curvilinear motion (1)
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14. Inertia (1)
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17. Interaction (1)
IV. Energy (6)
18. Work (1)
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20. Kinetic energy (1)
21. Energy transformations (1)
22. Power (1)
23. Efficiency (1)
V. Gravity (4)
24. Gravity (1)
25. Free fall (1)
26. Spaceflight (1)
27. Satellites (1)
VI. Matter (6)
28. Gases, liquids and solids (1)
29. Properties of matter (1)
30. Density (1)
31. Temperature (1)
32. Thermal expansion (1)
33. Gas expansion (1)
VII. Pressure (6)
34. Pressure (1)
35. Pressure in a liquid (1)
36. Air pressure (1)
37. Laws of gases (1)
38. Buoyant force (1)
39. Floating of bodies (1)
VIII. Heat (6)
40. Specific heat capacity (1)
41. Heat transfer (1)
42. Melting and solidification (1)
43. Evaporation and liquefaction (condensation) (1)
44. Heat sources (1)
45. Efficiency and economy (1)
IX. Electrostatics (4)
46. Charging of bodies by electric charge. (1)
47. Conductors and insulators (1)
48. Capacitors (1)
49. The use of static electricity and the hazards it poses (1)
X. Direct current (6)
50. Cells and batteries (1)
51. Electric current (1)
52. Ohm’s law (1)
53. Direct current circuit (1)
54. Variable resistors and non-linear resistors (1)
55. Work and current output (1)
XI. Magnetism (5)
56. Magnetic fields (1)
57. Electromagnets (1)
58. Electromagnetic force (1)
59. Electromotor (1)
60. Screen and oscilloscope (1)
XII. Alternating current (6)
61. Electromagnetic induction (1)
62. Alternating current and generator (1)
63. Transformer (1)
64. Electricity transmission (1)
65. Household electricity (1)
66. Electricity and energy saving methods (1)
XIII. Electronics (6)
67. Diode (1)
68. Power supplies and rectifiers (1)
69. Light and electric current (1)
70. Transistor (1)
71. Logic gates (1)
72. Digital systems (1)
XIV. Vibrations and mechanical waves (1)
73. Oscillation (1)
XIV. Oscillation and mechanical waves (5)
74. Resonance (1)
75. Mechanical waves (1)
76. Reflection and refraction of waves (1)
77. Seismic waves (1)
78. Bending and interference of mechanical waves (1)
XV. Sound (6)
79. Sound (1)
80. Infrasound and ultrasound (1)
81. Interference of sound waves (1)
82. Sounds in music (1)
83. Intensity of sound (1)
84. Doppler phenomenon (1)
XVI. Electromagnetic waves (6)
85. Electromagnetic waves (1)
86. Laser (1)
87. Bending and interference (1)
88. Spectrum of electromagnetic waves (1)
89. Threats associated with electromagnetic waves (1)
90. Use of waves in communication (1)
XVII. Light (7)
91. Reflection of light (1)
92. Spherical mirrors (1)
93. Refraction of light (1)
94. Lenses (1)
95. Optical instruments (1)
96. Eye (1)
97. Colours (1)
XVIII. Nuclear physics (8)
98. Structure of an atom (1)
99. Nuclear radiation (1)
100. Law of radioactive transformation (1)
101. Effect of radiation on living organisms (1)
102. Uses of radioactivity (1)
103. Nuclear fission (1)
104. Nuclear energy (1)
105. Nuclear fusion (1)
XIX. Earth and the Universe (6)
106. Solar system (1)
107. Moon (1)
108. Eclipses (1)
109. Structure and evolution of stars (1)
110. Galaxies (1)
111. Universe (1)
Secondary School (433)
Biology (100)
I. Chemical properties of organisms (5)
1. Chemical elements of the cell (1)
2. Carbohydrates: their structure, properties, occurrence and importance (1)
3. Lipids: structure, properties, occurrence and importance (1)
4. Proteins/proteins (1)
5. Biochemical tests, chromatography, electrophoresis and tissue and tissue separation (1)
II. Fundamentals of cytology (7)
6. Shape and size of prokaryotic and eukaryotic cells observed under light microscopy (1)
7. Current cytological techniques (1)
8. Microscopic and submicroscopic cell structure (1)
9. Cell differentiation (1)
10. Transmission across membranes (1)
11. Cell division – mitosis (indirect cell division) (1)
12. Cell division – meiosis (reductive division) (1)
III. Taxonomy (7)
13. Taxonomy of organisms (1)
14. Prokaryotes – simple organisms without a nucleus (1)
15. Unicellular organisms and algae (1)
16. Fungi (1)
17. Plants (1)
18. Animals – Invertebrates (1)
19. Animals – vertebrates (1)
IV. Metabolism (9)
20. Enzymes as biocatalysts (1)
21. Industrial applications of enzymes (1)
22. Use of enzymes in medical laboratories (1)
23. Cell metabolism (1)
24. Autotrophic nutrition (photosynthesis) (1)
25. Biochemical processes of photosynthesis (1)
26. Factors affecting photosynthesis (1)
27. Cellular respiration (1)
28. Aerobic respiration (1)
V. Nervous regulation (1)
29. Neuronal excitability (1)
V. Nerve regulation (7)
30. Transmission of nerve impulses between cells – synapses (1)
31. Structure of the human nervous system (1)
32. Unconditioned – involuntary activity of the nervous system (1)
33. Autonomic nervous system (1)
34. Receptors (1)
35. Eye (1)
36. Animal behaviour as a form of adaptation to the environment (1)
VI. Food intake and digestion (6)
37. Heterotrophic nutrition (1)
39. Nutritional requirements (1)
40. Human digestive system (1)
41. Food processing in the digestive system (1)
42. Absorption of the products of digestion (1)
43. Digestion of cellulose-rich food (1)
VI. Ingestion and digestion of food (1)
38. Nutrients (1)
VII. Internal transmission (4)
44. Transfer of substances in animals (1)
45. Structure and function of the heart (1)
46. Transfer of substances in plants (1)
47. Transpiration (1)
VIII. Respiratory gas exchange (3)
48. Respiratory surfaces (1)
49. Respiratory gas transfer (1)
50. Physiology of the human respiratory system (1)
IX. Muscle physiology (2)
51. Physiology of muscle contractions (1)
52. Chemistry of muscle contractions (1)
X. Reproduction (7)
53. Physiology of the human reproductive system (1)
54. Fertilization (1)
55. Development of the human embryo (1)
56. Birth control in humans and animals (1)
57. Growth and development of the organism (1)
58. The aging process (1)
59. Sexual reproduction in plants (1)
XI. Homeostasis (8)
60. The concept of homeostasis (1)
61. Hormonal regulation (1)
62. Thermoregulation (1)
63. Blood glucose regulation (1)
64. The liver as a homeostatic organ (1)
65. The role of the kidney in the regulation of water and electrolyte balance. Part I. (1)
66. The role of the kidney in the regulation of water and electrolyte balance. Part II. (1)
67. Regulation of water loss in desert animals (1)
XII. Human health (9)
68. Characteristics of a healthy organism (1)
69. Concept of disease (1)
70. Bacterial diseases (1)
71. Parasitic diseases (1)
72. AIDS – an example of a viral disease (1)
73. Human immunity (1)
74. Disease of the coronary arteries of the heart (1)
75. Cancer (1)
76. Effects of different groups of drugs (1)
XIII. Genetic information (6)
77. DNA – the carrier of genetic material (1)
78. Arrangement of DNA in chromosomes (1)
79. Cloning of organisms (1)
80. Genetic code and protein synthesis (1)
81. Mutations (1)
82. Chromosomal mutations (1)
XIV. Genetic engineering (3)
83. Genetic engineering techniques (1)
84. Medical applications of genetic engineering (1)
85. Transgenic organisms (1)
XV. Genetics according to Mendel (3)
86. Single trait inheritance (1)
87. Inheritance of two or more traits (1)
88. Sex-linked inheritance (1)
XVI. Variability of organisms (5)
89. Essence of variability (1)
90. Factors affecting variability (1)
91. Fundamentals of population genetics (1)
92. Speciation – origin of species (1)
93. Different ways of speciation (1)
XVII. Population (7)
94. Characters of populations (1)
95. Biodiversity (1)
96 Ecosystem – organisational and functional unit (1)
97. Energy flow and circulation of substances (1)
98. Ecological succession (1)
99. Effects of human activity on ecosystems (1)
100. Agriculture – biodiversity conservation (1)
Chemistry (100)
XII. Organic Chemistry (5)
1. Structure of the atom (1)
2. Development of atomic theory. Radioactivity (1)
3. Atomic spectrum (1)
4. Electron configuration of the atom (1)
5. Types of bonds (1)
XIII. Chemical reactions (6)
6. Electronegativity and polarity (1)
7. Shapes of molecules (1)
8. Valence bond theory and hybridization (1)
9. Groups of matter (1)
10. Phase changes (1)
11. Laws of gases (1)
XIV. Useful products from organic sources (1)
12. Intermolecular forces (1)
XIV. Utility products from organic sources (1)
13. Structure of solids (1)
XIV. Beneficial products from organic sources (2)
14. Mol (1)
15. Chemical equations (1)
XV. Beneficial products from rocks (2)
16. Practical significance of mole (1)
17. Concentration (1)
XV. Utility rock products (4)
18. Periodic table of chemical elements (1)
19. Properties of elements found in the 3rd period (1)
20. Periodic changes in the chemical properties of the elements (1)
21. s-elements (1)
XVI. Utility products from air (3)
22. Chemical properties of the s-elements (1)
23. Elements VII. A groups (1)
24. Reactions of halogens (1)
XVII. Foodstuffs and medicinal products (2)
25. Electron configuration of atoms and periodic properties of transition elements (1)
26. Oxidation numbers of transition elements (1)
XVII. Food and medicines (2)
27. Complexes of transition elements (1)
28. Oxidation numbers (1)
XVIII. Chemistry and the Earth (9)
29. Redox reactions (1)
30. Recovery of metals. Part I. (1)
31. Recovery of metals. Part II. (1)
32. Galvanic cells (1)
33. Standard electrochemical potential (1)
34. Electrochemical voltage series of metals (1)
35. Enthalpy change and calorimetry (1)
36. Standard enthalpy change. Hess’s law (1)
37. Born-Haber cycle (1)
XIX. Laboratory methods and analytical tests (4)
38. Changes of enthalpy in the dissolution process (1)
39. Average value of binding enthalpies (1)
40. Entropy (1)
41. Free energy (1)
XX. Safety in the chemical laboratory (1)
42. Chemical reaction rate (1)
IX. Kinetics of reactions (2)
43. Collision theory (1)
44. Effect of concentration on reaction rate. Rate equation (1)
X. Chemical equilibrium (3)
45. Effect of concentration on reaction rate. Methods of graphing (1)
46. Effect of temperature and catalyst on reaction rates (1)
47. Catalysts and enzymes (1)
XI. Acids, bases and salts (8)
48. Chemical equilibrium and equilibrium constant (1)
49. Factors affecting chemical equilibrium (1)
50. Chemical equilibrium in the gas phase (1)
51. Dissociation of acids, bases and salts (1)
52. Brønsted-Lowry theory of acids and bases. Autoprotolysis of water (1)
53. pH as a general measure of acidity (1)
54. Weak acids and weak bases (1)
55. Salts in aqueous solutions (1)
XII. Transition metals (3)
56. Buffer solutions (1)
57. Acid-base titration (1)
58. Titration curves (1)
XIII. Reaction of metal ions in aqueous solutions (2)
59. Acid-base reactions of metal ions (1)
60. Ligand exchange reactions (1)
XIV. Hydrocarbons (6)
61. Petroleum as a source of hydrocarbons (1)
62. Hydrocarbons as fuel (1)
63. Alkanes and cycloalkanes (1)
64. Chemistry of alkanes and cycloalkanes (1)
65. Alkenes (1)
66. Reactions of alkenes (1)
XV. Halogenated derivatives, alcohols and epoxides (5)
67. Halogenated alkanes (1)
68. Reactions of halogenalkanes (1)
69. Alcohols (1)
70. Ethanol (1)
71. Reactions of alcohols (1)
XVI. Compounds with a carbonyl group (4)
72. Aldehydes and ketones (1)
73. Reactions of aldehydes and ketones (1)
74. Carboxylic acids (1)
75. Functional derivatives of carboxylic acids (1)
XVII. Aromatic compounds (2)
76. Benzene (1)
77. Electrophilic substitution (1)
XVIII. Organic nitrogen compounds (3)
78. Structure and properties of amines (1)
79. Amines and amides: reactions and preparation (1)
80. Amino acids (1)
XIX. Biologically important chemical compounds (2)
81. Lipids and carbohydrates (1)
82. Proteins and nucleic acids (1)
XX. Polymers (2)
83. Types of polymers. Addition of polymers (1)
84. Polycondensates (1)
XXI. General topics in organic chemistry (5)
85. Organic molecules (1)
86. Nomenclature of organic compounds (1)
87. Isomerism (1)
88. Organic reactions (1)
89. Analytical tests in organic chemistry (1)
XXII. Spectrometric methods (8)
90. Infrared spectrometry. Part I. (1)
91. Infrared spectrometry. Part II. (1)
92. Mass spectrometry. Part I. (1)
93. Mass spectrometry. Part II. (1)
94. Nuclear magnetic resonance (NMR) spectroscopy. Part I. (1)
95. Nuclear magnetic resonance (NMR) spectroscopy. Part II. (1)
96. Molecular structure determination (1)
97. Absorption of visible light. Colorimetry (1)
XXIII. Environmental pollution by chemical products (3)
98. Air pollution (1)
99. Water pollution (1)
100. Soil pollution (1)
Mathematics (114)
I. Numbers. Part I. (1)
1. Irrational numbers (1)
II. Quadratic functions (6)
2. Quadratic functions, graphs (1)
3. Decomposition of quadratic functions into a product (1)
4. Quadratic equations (1)
5. Systems of equations (1)
6. Inequalities (1)
7. Quadratic inequalities (1)
III. Polynomials (6)
8. Polynomials (1)
9. Algebraic adjustments of polynomials (1)
10. Division of polynomials (1)
11. Theorems about division with a remainder (1)
12. Decomposition of polynomials (1)
13. Decomposition and roots of polynomials (1)
IV. Graphs of polynomials (6)
14. Sketch of graphs (1)
15. Graphical solution of equations. Part I. (1)
16. Graphical solution of equations. Part II. (1)
17. Graphical solution of inequalities. Part I. (1)
18. Graphical solution of inequalities. Part II. (1)
19. Shifts and graphs (1)
V. Analytic geometry. Part I. (7)
20. Equation of a straight line (1)
21. Parallel and perpendicular lines (1)
22. Analytical geometry of a circle (1)
23. Tangent (1)
24. Normal (1)
25. Common points. Part I. (1)
26. Common points. Part II. (1)
VI. Differential calculus. Part I. (9)
27. Derivation (1)
28. Derivation of simple functions (1)
29. Derivation of polynomial functions (1)
30. Search for guidelines, tangents and norms (1)
31. Monotony (1)
32. Local extremes, stationary points, inflection points (1)
33. Finding local extremes (1)
34. Finding maximum and minimum values (1)
35. Derivatives of the second order (1)
VII. Integral calculus. Part I. (4)
36. Primitive function (1)
37. Integration (1)
38. Definite integral (1)
39. Area under the curve (1)
VIII. Numbers. Part II. (1)
40. Rules for powers with rational exponents (1)
IX. Transformations of graphs (2)
41. Transformation of graphs. Part I. (1)
42. Transformation of graphs. Part II. (1)
X. Sequences and series (7)
43. Sequences (1)
44. Arithmetic sequence (1)
45. Arithmetic series (1)
46. Geometric sequence (1)
47. Geometric series (1)
48. Infinite convergent geometric series (1)
49. Binomial development (1)
XI. Trigonometry. Part I. (10)
50. Measuring the length of the curve (1)
51. Angles in general, sizes of angles (1)
52. Basic trigonometric functions (1)
53. Graphs of trigonometric functions (1)
54. Simple trigonometric equations (1)
55. Solving simple trigonometric equations (1)
56. Content of a triangle (1)
57. The sine theorem (1)
58. Cosine theorem (1)
59. Measuring a circle (1)
XII. Exponential and logarithmic functions (4)
60. Exponential functions (1)
61. Logarithm (1)
62. Basic exponential equations (1)
63. Exponential inequalities (1)
XIII. Differential calculus. Part II. (1)
64. Derivatives of powers with a rational exponent (1)
XIV. Integral calculus. Part II. (2)
65. Integrals of powers with a rational exponent (1)
66. Estimation of the area under the curve (1)
XV. Functions (5)
67. Functions – basic terms (1)
68. Composite functions (1)
69. Inverse function (1)
70. Functions with absolute value (1)
71. Transformation of graphs (1)
XVI. Trigonometry. Part II. (3)
72. Inverse trigonometric functions (1)
73. Other trigonometric functions (1)
74. Relationships between trigonometric functions (1)
XVII. Exponential and logarithmic functions (2)
75. Natural exponential function (1)
76. Natural logarithmic function (1)
XVIII. Differential calculus. Part III. (4)
77. Derivatives of exponential and logarithmic functions (1)
78. Derivatives of trigonometric functions (1)
79. Derivation rules. Part I. (1)
80. Derivation rules. Part II. (1)
XIX. Integral calculus. Part III. (4)
81. Integrating selected functions (1)
82. Methods of integration. Part I. (1)
83. Methods of integration. Part II. (1)
84. Volumes of rotating bodies (1)
XX. Numerical methods (4)
85. Zero points of a function (1)
86. Approximate solution of equations (1)
87. Numerical integration – rectangular method (1)
88. Numerical integration – Simpson’s method (1)
XXI. Rational functions (4)
89. Rational expressions (1)
90. Rational functions (1)
91. Algebraic division (1)
92. Partial fractions (1)
XXII. Analytic geometry. Part II. (2)
93. Equations of curves (1)
94. Parametric equations of curves (1)
XXIII. Sequences and series (2)
95. Binomial series (1)
96. Development of rational functions (1)
XXIV. Trigonometry. Part III. (3)
97. Trigonometric functions of sum and difference of angles. Part I. (1)
98. Trigonometric functions of sum and difference of angles. Part II. (1)
99. Formulas for a double angle (1)
XXV. Exponential and logarithmic functions (1)
100. Exponential growth and decline (1)
XXVI. Differential and integral calculus (6)
101. Differential equations (1)
102. Equations with separated variables (1)
103. Derivation of an implicitly determined function (1)
104. Derivation of a parametrically specified function (1)
105. Tangents and normals of implicitly and parametrically specified curves (1)
106. Integration using partial fractions (1)
XXVII. Vectors (8)
107. Vectors (1)
108. Operations with vectors (1)
109. Position vectors (1)
110. Vector equations of straight lines in a plane (1)
111. Parametric expression of straight lines in space (1)
112. Scalar product. Part I. (1)
113. Scalar product. Part II. (1)
114. Distance of a point from a straight line (1)
Physics (119)
I. Statics (5)
1. Forces (1)
2. Combining forces (1)
3. Moment of power (1)
4. Balance (1)
5. Forces and moments of forces in building constructions (1)
II. Kinematics (6)
6. Even movement (1)
7. Accelerated movement (1)
8. Track during accelerated movement (1)
9. Description of motion using vectors (1)
10. Movement in a circle (1)
11. Movement of the projectile (1)
III. Dynamics (6)
12. The first and third laws of motion (1)
13. Momentum (1)
14. Newton’s second law of motion (1)
15. Forces during curvilinear motion (1)
16. Friction (1)
17. Air resistance (1)
IV. Energy (6)
18. Work and energy (1)
19. Potential and kinetic energy (1)
20. Internal energy (1)
21. Performance (1)
22. Precipitation (1)
23. Simple machines (1)
V. Rotating motion (4)
24. Angular velocity and angular acceleration (1)
25. Newton’s second law of motion for rotational motion (1)
26. Moment of momentum (1)
27. Energy of rotary motion (1)
VI. Gravitational field (5)
28. Gravitational force (1)
29. Gravitational acceleration (1)
30. Potential energy (1)
31. Gravitational potential (1)
32. Satellites (1)
VII. Matter (6)
33. Density (1)
34. Mechanical tension (1)
35. Hooke’s law (1)
36. Temperature (1)
37. Heat transfer (1)
38. Forms of substance (1)
VIII. Fluid mechanics (6)
39. Hydrostatic pressure (1)
40. Atmospheric pressure (1)
41. Pascal’s law (1)
42. Archimedes’ law (1)
43. Bernoulli’s equation (1)
44. Movement of bodies in liquid (1)
IX. Gas laws (5)
45. Happens in gases (1)
46. Equation of state of an ideal gas (1)
47. Kinetic theory of gases (1)
48. Molar heat capacity of gas (1)
49. Adiabatic process (1)
X. Thermodynamics (5)
50. The first law of thermodynamics (1)
51. Heat engine (1)
52. Specific heat capacity (1)
53. Heat sources (1)
54. Second law of thermodynamics (1)
XI. Electrostatics (5)
55. Coulomb’s law (1)
56. Electric field (1)
57. Potential (1)
58. Capacitor capacity (1)
59. Capacitors (1)
XII. Direct current (5)
60. Electric current (1)
61. Electrical resistance (1)
62. Resistors (1)
63. Electromotive voltage (1)
64. Work and power of electric current (1)
XIII. Magnetism (5)
65. Magnetic field (1)
66. Magnetic field around current conductors (1)
67. Electromagnetic force (1)
68. Use of electromagnetic forces (1)
69. Movement of a charge in a magnetic field (1)
XIV. AC (5)
70. Phenomenon of electromagnetic induction (1)
71. Generator and alternating current (1)
72. Transformer (1)
73. Transmission of electrical energy (1)
74. Electric current in the home (1)
XV. Electronics (4)
75. Electronics (1)
76. Light and current (1)
77. Transistors and bridges (1)
78. Digital systems (1)
XVI. Harmonic movement (4)
79. Oscillation (1)
80. Pendulum (1)
81. Energy of oscillatory motion (1)
82. Resonance (1)
XVII. Mechanical waves (6)
83. Mechanical undulation (1)
84. Reflection and refraction of waves (1)
85. Bending and interference of mechanical waves (1)
86. Oscillation of the spring (1)
87. Wave intensity (1)
88. Doppler phenomenon (1)
XVIII. Electromagnetic waves (5)
89. Electromagnetic waves (1)
90. Wave bending and interference (1)
91. Wave polarization (1)
92. Use of waves in communication (1)
93. Signal coding (1)
XIX. Optics (5)
94. Reflection and refraction of light (1)
95. Spherical mirrors (1)
96. Lenses (1)
97. Optical instruments (1)
98. Eye (1)
XX. Atomic physics (6)
99. Radiation of bodies (1)
100. External photoelectric phenomenon (1)
101. Emission and absorption spectrum (1)
102. Energy states of an electron in an atom (1)
103. X-ray radiation (1)
104. Waves and particles (1)
XXI. Nuclear Physics (7)
105. Structure of atomic nuclei (1)
106. Radioactive radiation (1)
107. Law of radioactive decay (1)
108. Stability of nuclei (1)
109. Nuclear synthesis (1)
110. Nuclear fission (1)
111. Elementary particles (1)
XXII. Astrophysics (4)
112. Solar system (1)
113. Classification of stars (1)
114. Evolution of stars (1)
115. Galaxies (1)
XXIII. Theory of relativity (4)
116. Speed of light (1)
117. Time and length (1)
118. Mass, energy and momentum (1)
119. General theory of relativity (1)
Primary School – Part 1 (209)
Mathematics (129)
I. Use and application of mathematics. Part I. (3)
1. Solving word problems (1)
2. Practical application of simple mathematical operations (1)
3. Explain and justify (1)
II. Numbers and number systems. Part I. (10)
4. Arrangement of decimal numbers (1)
5. Fractions, ordering of fractions (1)
6. Conversion of fractions to decimals and percentages (1)
7. Negative numbers (1)
8. Multiples, factors and powers (1)
9. Triangular and square numbers (1)
10. Rounding numbers (1)
11. Ratio and proportion (1)
12. Written calculations (1)
13. Calculations using a calculator (1)
III. Algebra. Part I. (8)
14. Writing algebraic expressions (1)
15. Simple operations with algebraic expressions (1)
16. Members of the same degree (1)
17. Simple linear equations (1)
18. Substitution into formulas (1)
19. Sequences (1)
20. What is a function? (1)
21. Graph a linear function (1)
IV. Space, figures and measures. Part I. (11)
22. Lines and angles (1)
23. Relative positions of lines, interior angles of a triangle (1)
24. Properties of figures (1)
25. Views (1)
26. Angles in plane figures (1)
27. Diameters (1)
28. Angles in solid figures (1)
29. Coordinates (1)
30. Measurements (1)
31. Contents of rectangles (1)
32. Surface (1)
V. Statistics. Part I. (7)
33. Planning and data collection (1)
34. Data evaluation (1)
35. Means (1)
36. Data comparison (1)
37. IT and data processing (1)
38. Basic concepts of probability (1)
39. Probability of phenomena in simple experiments (1)
VI. Use and application of mathematics. Part II. (3)
40. Solving word problems (1)
41. Practical application of simple mathematical operations (1)
42. Use of ICT in calculations (1)
VII. Numbers and number systems. Part II. (14)
43. Multiplication and division by 0.1 and 0.01 (1)
44. Arranging decimal numbers on the number line (1)
45. Rounding numbers (1)
46. Numbers (1)
47. Multiples, factors and powers (1)
48. Squares and square roots, third powers and square roots (1)
49. Periodic decimals (1)
50. Addition and subtraction of fractions (1)
51. Multiplying and dividing whole numbers by fractions (1)
52. Percents (1)
53. Ratio and proportion (1)
54. Calculations by reasoning (1)
55. Written calculations (1)
56. Calculations using a calculator (1)
VIII. Algebra. Part II. (10)
57. Expressions and equations with an unknown (1)
58. Modifying algebraic expressions (1)
59. Simple linear equations (1)
60. Graphical solution of equations (1)
61. Calculations using formulas (1)
62. Notation of simple sequences (1)
63. Several sequences (1)
64. Nth member of a sequence (1)
65. Reading from graphs of linear functions (1)
66. Linear functions and their graphs in real life (1)
IX. Space, figures and measures. Part II. (12)
67. Angles in triangles and quadrilaterals (1)
68. Angles in simple polygons (1)
69. Symmetry and congruence (1)
70. Diameters (1)
71. Views (1)
72. Coordinates of the centres of the line segments (1)
73. Properties of plane figures (1)
74. Constructions with ruler and compass (1)
75. Drawing simple figures using IT (1)
76. Measurements in real life (1)
77. Contents of polygons (1)
78. Surface and volume of blocks (1)
X. Statistics. Part II. (5)
79. Data processing (1)
80. Data presentation (1)
81. Comparison of two simple statistical files (1)
82. Concepts related to probability (1)
83. Random experiments (1)
XI. Use and application of mathematics. Part III. (3)
84. Solving word problems (1)
85. Practical application of simple mathematical operations (1)
86. Explain and justify (1)
XII. Numbers and number systems. Part III. (10)
87. Positional number system (1)
88. Rounding to decimal places (1)
89. Multiples, factors and powers (1)
90. Counting with periodic decimals (1)
91. Operations with fractions (1)
92. Percentages (1)
93. Ratio and proportion (1)
94. Calculations by reasoning (1)
95. Written calculations (1)
96. Calculations using a calculator (1)
XIII. Algebra. Part III. (11)
97. Letters as symbols in equations, formulas and functions (1)
98. Simple examples of rules for counting with powers (1)
99. Modifying algebraic expressions (1)
100. Setting up and solving linear equations (1)
101. Modifying equations (1)
102. Working with functions (1)
103. The general term of a sequence (1)
104. Expression of the nth term (1)
105. Linear functions (1)
106. Graphs and functions (1)
107. Graphs (1)
XIV. Space, figures and measures. Part III. (15)
108. Interior and exterior angles in polygons (1)
109. Problems involving properties of angles and parallel lines (1)
110. Symmetry and congruence (1)
111. Properties of the circle (1)
112. Networks of solids (1)
113. Views (1)
114. Equidistance (1)
115. Drawing with scale (1)
116. Constructing with ruler and compass (1)
117. Point image (1)
118. Unit transformations (1)
119. Contents of rectangles (1)
120. Perimeter of a circle (1)
121. Contents of a circle (1)
122. Surface area and volume of regular polyhedra (1)
XV. Statistics. Part III. (7)
123. Interpretation of collected data (1)
124. Use of secondary data (1)
125. Finding relationships between data (1)
126. Comparing two simple distributions using tables (1)
127 Presenting and interpreting a statistical survey (1)
128. Using concepts relating to probability (1)
129. Experimental and theoretical probabilities (1)
Science (80)
I. Life processes and functions of the cell (5)
1. Animal and plant cells (1)
2. Organs of flowering plants (1)
3. Specialised cells (1)
4. Human organ systems (1)
5. Life processes (1)
II. Humans as organisms (12)
6. Nutrition: a balanced diet (1)
7. Cellular respiration (1)
8. Medicines, drugs and health (1)
9. Fighting disease (1)
10. Digestion (1)
11. Absorption and metabolic wastes (1)
12. Skeleton and movement (1)
13. Adolescence (1)
14. Human reproduction (1)
15. Fetal development (1)
16. Respiration (1)
17. Smoking (1)
III. Green plants as organisms (4)
18. Plant nutrition (1)
19. Factors affecting photosynthesis (1)
20. Plant growth (1)
21. Plant respiration (1)
IV. Diversity, classification and inheritance (2)
22. Variability (1)
23. Causes of variability (1)
IV. Diversity, classification and heritability (2)
24. Classification of organisms (1)
25. Heredity (1)
V. Living organisms in their environment (6)
26. Sustainable development (1)
27. Habitats (1)
28. Adaptation (1)
29. Survival (1)
30. Food chains (1)
31. Food web (1)
VI. Grouping and sorting of substances (10)
32. Solids, liquids and gases (1)
33. Separation of components of mixtures (1)
34. Particle theory (1)
35. Physical changes (1)
36. Elements (1)
37. Properties of metals (1)
38. Properties of non-metals (1)
39. Compounds (1)
40. Nomenclature of compounds (1)
41. Compounds (1)
VII. Transformation of substances (2)
42. Physical changes in substances (1)
43. Solutions (1)
VII. Conversion of substances (4)
44. Geological changes: weathering (1)
45. Formation of rocks (1)
46. Chemical reactions (1)
47. Effects of combustion (1)
VIII. Models of behaviour (5)
48. Reactivity of metals (1)
49. Substitution reactions (1)
50. Acids and bases (1)
51. Reactions with acids (1)
52. Neutralization (1)
IX. Electricity (5)
53. Electrical circuits (1)
54. Serial and parallel circuits (1)
55. Electric current (1)
56. Magnets (1)
57. Electromagnets (1)
X. Forces and motion (2)
58. Speed (1)
59. Gravity (1)
X. Forces and movement (5)
60. Force, balance of forces (1)
61. Friction (1)
62. Force and rotation (1)
63. Moment of force (1)
64. Pressure (1)
XI. Light and sound (6)
65. Light (1)
66. Reflection (1)
67. Refraction of light (1)
68. Colour (1)
69. Sound (1)
70. Hearing (1)
XII. Our Earth and surrounding planets (1)
71. Movement of the Earth (1)
XII. Our Earth and the surrounding planets (3)
72. Solar system (1)
73. The Sun (1)
74. Satellites (1)
XIII. Energy sources and energy transfer (6)
75. Energy (1)
76. Energy sources (1)
77. Electricity generation (1)
78. Heat and temperature (1)
79. Energy transmission (1)
80. Conservation of energy (1)
Lower Primary Math (mLPM) (849)
Level 1A (134)
1. Numbers 0-5 (25)
1.01 Recognising numbers 1-5 (3)
1.02 Numbers 0 and 1 (3)
1.03 Number 2 (3)
1.04 Number 3 (3)
1.05 Number 4 (3)
1.06 Number 5 (3)
1.07 Decompositions (3)
1.08 Open questions and practice (3)
1.09 Brain-teasers (1)
2. Addition and subtraction (22)
2.01 Addition notation (3)
2.02 Addition practice (3)
2.03 Subtraction notation (3)
2.04 Subtraction practice (3)
2.05 Adding and subtracting (3)
2.06 Adding and subtracting (3)
2.07 Open questions and practice (3)
2.08 Brain-teasers (1)
3. Numbers 6-9, addition and subtraction (40)
3.01 Number 6 (3)
3.02 Application and practice (3)
3.03 Three addends (3)
3.04 Number 7 (3)
3.05 Application and practice (3)
3.06 Commutative law of addiction (3)
3.07 Number 8 (3)
3.08 Application and practice (3)
3.09 Number 9 (3)
3.10 Application and practice (3)
3.11 The latter addend is missing (3)
3.12 The first addend is missing (3)
3.13 Open questions and practice (3)
3.14 Brain-teasers (1)
4. Numbers 10-16 (25)
4.01 Number 10 (3)
4.02 Comparing and ordering (3)
4.03 Money (3)
4.04 Application (3)
4.05 Numbers 11, 12 and 13 (3)
4.06 Numbers 14, 15 and 16 (3)
4.07 Application and practice (3)
4.08 Open questions and practice (3)
4.09 Brain-teasers (1)
5. Numbers 17-20, addition and subtracion (22)
5.01 Numbers 17, 18 and 19 (3)
5.02. Number 20 (3)
5.03. Number sequence (3)
5.04. Application and practice (3)
5.05. Application (3)
5.06. Application and practice (3)
5.07. Open questions and practice (3)
5.08. Brain-teasers (1)
Level 1B (146)
1. Adding and subtracting with numbers 0-20 (28)
1.01 Revision and practice (3)
1.02 Application and practice (3)
1.03 Even and odd numbers (3)
1.04 Application and practice (3)
1.05 A two-digit subtrahend (3)
1.06 A two-digit subtrahend (3)
1.07 Notebook calculations (3)
1.08. Problem solving – Foundation (3)
1.09. Open questions and practice (3)
1.10. Brain-teasers (1)
2. Adding past ten (28)
2.01 Adding past ten (3)
2.02 Adding to 9 and 8 (3)
2.03 Adding to 7, 6 and 5 (3)
2.04 Application (3)
2.05 Application and practice (3)
2.06. Application and practice (3)
2.07. Application and practice (3)
2.08. Problem solving (3)
2.09. Open questions and answers (3)
2.10 Brain-teasers (1)
3. Subtracting past ten (28)
3.01 Subtracting past ten (3)
3.02 Subtracting from 11 and 12 (3)
3.03 Subtracting from 13 and 14 (3)
3.04 Application and practice (3)
3.05 Subtracting from 15, 16, 17 and 18 (3)
3.06 Connection between addition and subtraction (3)
3.07 Missing minuend or subtrahend (3)
3.08 Problem solving (3)
3.09 Open questions and practice (3)
3.10. Brain-teasers (1)
4. Geometry and measuring (22)
4.01 Classifying solids (3)
4.02 Plane shapes (3)
4.03 Circle, triangle and quadrilateral (3)
4.04 Measuring (3)
4.05 Centimetres (3)
4.06 Metres (3)
4.07 Open questions and measuring (3)
4.08 Brain-teasers (1)
6. Time (1)
6.01 Time (1)
5. Numbers 0-100 (39)
5.01 Numbers 0-50 (3)
5.02 Comparing and ordering numbers 0-50 (3)
5.03 Adding a one-digit number in number field 0-50 (3)
5.04 Subtracting a one-digit number in number field 0-50 (3)
5.05 Numbers 50-100 (3)
5.06 Euros, cents and the hundred square grid (3)
5.07 Comparing and ordering numbers (3)
5.08 Adding a one-digit number (3)
5.09 Subtracting a one-digit number (3)
5.10 Adding full tens (3)
5.11 Subtracting full tens (3)
5.12 Problem solving (3)
5.13 Open questions and practice (2)
5.14 Brain-teasers (1)
Level 2A (141)
1. Revision and application (28)
1.01. Adding past ten (3)
1.02. Adding past ten (3)
1.03. Notebook calculations (3)
1.04. Subtracting past ten (3)
1.05. Subtracting past ten (3)
1.06. Numbers 0–100, comparing (3)
1.07. Adding and subtracting a one-digit number (3)
1.08. Problem solving, practice (3)
1.09. Open questions and practice (3)
1.10. Brain-teasers (1)
2. Addition and subtraction, numbers 0-100 (29)
2.01. Adding past whole tens, number field 20-100 (3)
2.02. Subtracting past whole tens, number field 20-100 (3)
2.03. Application and practice (3)
2.04. Sum and difference (3)
2.05. Adding and subtracting tens (3)
2.06. Adding a two-digit number (3)
2.07. Subtracting a two-digit number (3)
2.08. Application and practice (3)
2.09. Open questions and practice (3)
2.10. Brain-teasers (1)
2.11. Optional exercises (1)
3. Multiplication (44)
3.01. Preparing for multiplication (3)
3.02. Connection between multiplication and addition (3)
3.03. The two times table (3)
3.04. The five times table (3)
3.05. Practice and application (3)
3.06. Commutative law of multiplication (3)
3.07. The three times table (3)
3.08. Practice and application (3)
3.09. The four times table (3)
3.10. Practice and application (3)
3.11. Order of operations (3)
3.12. Practice and application (3)
3.13. Numbers 0 and 1 in multiplication (3)
3.14. Open questions and practice (3)
3.15. Brain-teasers (1)
3.16. Optional exercises (1)
4. Numbers 0-1000, addition and subtraction (37)
4.01. Three-digit numbers (3)
4.02. Zero as a place value (3)
4.03. Number line 0-1000 (3)
4.04. Number line 0-1000 (3)
4.05. Comparing numbers (3)
4.06. Adding a one-digit number (3)
4.07. Subtracting a one-digit number (3)
4.08. Adding and subtracting whole tens (3)
4.09. Adding and subtracting whole hundreds (3)
4.10. Adding and subtracting whole tens (3)
4.11. Practice and application (3)
4.12. Open exercises and practice (3)
4.13. Brain-teasers (1)
5. Time (3)
5.01. Year, month, day (1)
5.02. Telling the time (1)
5.03. Practice and application (1)
Level 2B (129)
1. Addition in columns (28)
1.01. Addition in columns (3)
1.02. Addition in columns (3)
1.03. Carrying to the tens (3)
1.04. Notebook calculations (3)
1.05. Application and practice (3)
1.06. Carrying to the hundreds (3)
1.07. Carrying in succession (3)
1.08. Application and practice (3)
1.09 Open questions and practice (3)
1.10. Brain-teasers (1)
2. Subtraction in columns (28)
2.01. Subtraction in columns (3)
2.02. Exchanging a ten (3)
2.03. Exchanging a hundred (3)
2.04. Application (3)
2.05. Exchanging in succession (3)
2.06. Application (3)
2.07. Two operations in a row (3)
2.08. Application and practice (3)
2.09. Open questions and practice (3)
2.10. Brain-teasers (1)
3. Geometry (28)
3.01. Perceiving things from different angles (3)
3.02. Solids (3)
3.03. Point, line segment, line and angle (3)
3.04. Polygons (3)
3.05. Perception (3)
3.06. Perception (3)
3.07. Mirror images (3)
3.08. Symmetry (3)
3.09. Open questions and perception (3)
3.10. Brain-teasers (1)
4. Measuring and estimating (37)
4.01. Monetary units, euros and cents (3)
4.02. Application (3)
4.03. Measuring length (3)
4.04. Measuring in centimetres (3)
4.05. Units of measurement, metres and centimetres (3)
4.06. Writing lengths in two ways (3)
4.07. Application (3)
4.08. Units of mass, grams (3)
4.09. Units of mass, kilograms (3)
4.10. Units of volume, litres and decilitres (3)
4.11. Application (3)
4.12. Open questions and practice (3)
4.13. Brain-teasers (1)
5. Revision (8)
5.01. Revising multiplication (1)
5.02. Application and practice on multiplication (1)
5.03. Revising mental arithmetic (1)
5.04. Revising calculating in columns (1)
5.05. Revising units of measurement (1)
5.06. Perception (1)
5.07. Information search and problem solving (1)
5.08. Problem solving (1)
Level 3A (148)
1. The 2-9 times table (49)
1.01. Concept of multiplication (3)
1.02. Revising the 2 and 5 times tables (3)
1.03. Revising the 3 and 4 times tables (3)
1.04. Order of operations (3)
1.05. The 6 times table (3)
1.06. Application and practice (3)
1.07. Application and practice (3)
1.08. The 7 times table (3)
1.09. Application and practice (3)
1.10. Practice and application (3)
1.11. The 8 times table (3)
1.12. Application and practice (3)
1.13. Application and practice (3)
1.14. The 9 times table (3)
1.15. Practice (3)
1.16. Open questions and practice (3)
1.17. Brain-teasers (1)
2. Division (40)
2.01 Division (3)
2.02. Division notation (3)
2.03. The connection between division and multiplication (3)
2.04. Use of multiplication to assist division (3)
2.05. Application and practice (3)
2.06. Application and practice (3)
2.07. Divisors 6 and 7 (3)
2.08. Divisors 8 and 9 (3)
2.09. Order of operations (3)
2.10. Application and practice (3)
2.11. Division terms and the remainder (3)
2.12. Numbers 0 and 1 in division (3)
2.13. Open questions, reasoning (3)
2.14. Brain-teasers (1)
3. Addition and subtraction (31)
3.01. Sum, difference, adding and subtracting a one-digit number (3)
3.02. Adding and subtracting a two-digit number (3)
3.03. Adding two-digit numbers (3)
3.04. Subtracting two-digit numbers (3)
3.05. Application to money (3)
3.06. Carrying in addition (3)
3.07. Exchanging in subtraction (3)
3.08. Exchanging in succession (3)
3.09. Exchanging past a zero (3)
3.10. Open questions and brain-teasers (3)
3.11. Brain-teasers (1)
4. Geometry (22)
4.01. Perceiving from different directions (3)
4.02. Solids (3)
4.03. Plane geometrical concepts (3)
4.04. Quadrilaterals (3)
4.05. Perimeter of a polygon (3)
4.06. Symmetry (3)
4.07. Open questions, brain-teasers (3)
4.08. Brain teasers (1)
5. Revision (6)
5.01. Revising multiplication (1)
5.02. Revising multiplication (1)
5.03. Revising division, divisors 2–5 (1)
5.04. Revising division, divisors 6–9 (1)
5.05. Revising addition and subtraction (1)
5.06. Optional notebook work (1)
Level 3B (151)
1. Multiplying in colums (25)
1.01.Mental multiplication (3)
1.02. Multiplying in columns (3)
1.03. Carrying in multiplication (3)
1.04. Order of operations, application (3)
1.05. Carrying two numbers in multiplication (3)
1.06. Practice and application (3)
1.07. Addition, subtraction and multiplication in columns (3)
1.08. Open questions and brain-teasers (3)
1.09. Brain-teasers (1)
2. Fractions and decimals (43)
2.01 Division into equal parts (3)
2.02. Fraction notation (3)
2.03. One whole as a fraction (3)
2.04. Application (3)
2.05. Comparing fractions (3)
2.06. Mixed numbers (3)
2.07. Fractions on a number line (3)
2.08. Decimals, tenths (3)
2.09. Decimals on a number line (3)
2.10. Comparing decimals (3)
2.11. Application (3)
2.12. Hundredths in a decimal (3)
2.13. Euros and cents (3)
2.14. Open questions and brain-teasers (3)
2.15. Brain-teasers (1)
3. Expanding the number field to 9999 (37)
3.01. Numbers 0-9999 (3)
3.02. Number line (3)
3.03. Number line (3)
3.04. Comparing numbers (3)
3.05. Carrying in addition (3)
3.06. Exchanging in subtraction (3)
3.07. Application and practice (3)
3.08. Exchanging in succession (3)
3.09. Information search and application (3)
3.10. Rounding to the nearest ten and hundred (3)
3.11. Information search and application (3)
3.12. Open questions and brain-teasers (3)
3.13. Brain-teasers (1)
4. Measuring (40)
4.01. Day (3)
4.02. Digital clock (3)
4.03. Durations in minutes and hours (3)
4.04. Reviewing units of time (3)
4.05. Centimetres and millimetres (3)
4.06. Metres and centimetres (3)
4.07. Application (3)
4.08. Kilometres and metres (3)
4.09. Application (3)
4.10. Kilograms and grams (3)
4.11. Estimation and application (3)
4.12. Litres and decilitres (3)
4.13. Open questions and brain-teasers (3)
4.14. Brain teasers (1)
5. Revision and application (6)
5.01. Revising multiplication (1)
5.02. Revising fractions and decimals (1)
5.03. Revising addition and subtraction (1)
5.04. Application, timetables, calculating durations (1)
5.05. Revising units of measurement (1)
5.06. Revision (1)
EnglishNow (30)
Icons (30)
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Mathematics (1)
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mSkills (40)
Vocabulary Level 1 (40)
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Uncategorized (56)
Parametric equations of curves
