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The world’s most comprehensive
MATHS & SCIENCE
DIGITAL CURRICULUM FOR K-12 EDUCATION

.

Over a thousand of highly interactive Digital Lessons covering Maths, Science, Physic, Biology and Chemistry. Thousands of top quality films, animations, pictures and simulations presenting hundreds of topics in an attractive and engaging way. They can be easily re-aranged, localised and adapted to fit specific curricula, textbooks or learning standards. Designed to work smoothly on tablets, smartphones and other mobile or stationary devices.

Thousands of digital resources

Huge database of digital resources including: interactive exercises, tests, educational games, animations, videos, slide-sows, inspirational simulations and many others.

Stimulating and enjoyable

Designed to fit relevant age groups, makes learning extremely attractive, stimulating and enjoyable, thus highly effective.

Constructivist Approach

Large variety of activities combining presentations, experiments and tests supports constructivist teaching style.

Easily adaptable

Initially organised along British curriculum but easily adaptable to other national K12 curricula.

Flexible structure

Well structured and highly hierarchical content makes it perfect to be used both, as a leading or supplementary material.

Easily localizable

Created to be easily and quickly localised to different languages and different alphabets.

Online / Offline

Originally designed as online solution but can be also deployed and used offline with optional results synchronisation.

Truly mobile solution

Built within mAuthor’s advanced technology what makes it truly mobile and accessible from multiple browsers and mobile devices with various screen resolutions.

Big Data

Large variety of interactivity with extensive results monitoring capabilities makes it perfect for collecting millions of information on students activity and thus mCurriculum efficiency.

International coverage

Successfully implemented on over 30 international markets.

Explore Common Core and NGSS mapped highly interactive resources

UPPER PRIMARY

No. of Lessons:
.

Maths - 127
Science - 80

No. of ePages:
.

2165
565
Films & AnimationsSimulationsIllustrationsPhotos & Slideshows
70047387669
4892101288313

Tables of Contents:

Maths

01. Decimals, Integers, Factors, and Exponents

  1. Calculating with Decimals
  2. Comparing and Ordering Decimals
  3. Comparing Decimals
  4. Converting Fractions to Repeating Decimals
  5. Integers
  6. Multiplying and Dividing by 0.1 and 0.01
  7. Operations with Integers
  8. Powers of Ten with Integer Exponents
  9. Powers, Roots, and Scientific Notation
  10. Prime Factorization, GCF, and LCM
  11. Prime Factorization, the GCF, and the LCD
  12. Rounding Decimals
  13. Rounding Decimals and Accuracy
  14. Rounding Numbers
  15. Terminating and Repeating Decimals
  16. Triangular Numbers, Squares, and Square Roots

02. Fractions, Ratios, Proportions, and Percents

  1. Adding and Subtracting Fractions
  2. Applying Ratios and Proportions
  3. Exploring Fractions
  4. Exploring Percent
  5. Fractions, Decimals, and Percents
  6. Multiplying and Dividing Integers by Fractions
  7. Operations Involving Fractions and Decimals
  8. Order of Operations
  9. Percent Increase and Decrease
  10. Ratios and Proportions
  11. Scale Drawings and Maps
  12. Solving Ratio and Proportion Applications

03. Algebra: Expressions and Equations

  1. Exploring Quadratic Equations
  2. Linear Equations and Their Graphs
  3. Monomials and Combining Like Monomials
  4. Multiplying Linear Expressions
  5. Simplifying Algebraic Expressions
  6. Simplifying and Factoring Expressions
  7. Solving Linear and Non-Linear Equations
  8. Solving Multi-Step Equations
  9. Substituting Values into Formulas
  10. Using Formulas and Exploring Binomials
  11. Writing an Equation to Solve Word Problems
  12. Writing and Evaluating Algebraic Expressions
  13. Writing and Solving Equations
  14. Writing and Solving Simple Equations

04. Algebraic Relationships: Functions and Sequences

  1. Finding Terms and Sums of Sequences
  2. Formulas for Arithmetic Sequences
  3. Functions
  4. Generating Sequences from Rules
  5. Graphing Linear Functions
  6. Graphs of Linear Functions
  7. Inverse Linear Functions
  8. Line and Distance vs Time Graphs
  9. Rules and Graphs of Linear Functions
  10. Sequences
  11. Sequences with Term Numbers
  12. Solving Applications with Linear Functions
  13. The nth Term of an Arithmetic Sequence
  14. Working with Variables
  15. Writing Real-World Functions

05. Geometry

  1. Angles and Angles in Polygons
  2. Angles Formed by Two Lines and a Transversal
  3. Angles in Triangles
  4. Angles in Triangles and Polygons
  5. Circles and Inscribed Polygons
  6. Constructions Based on Angles
  7. Exploring Two-Dimensional Figures
  8. Identifying Congruent Triangles
  9. Interior and Exterior Angles in Polygons
  10. Lines, Angles, Circles, and Disks
  11. Parallel Lines, Perpendicular Lines, and Angle Measures
  12. Properties of Polygons
  13. Straightedge-and-Compass Constructions
  14. Symmetry and Congruence

06. Coordinate and Solid (3-D) Geometry

  1. Combining Transformations
  2. Enlarging a Shape
  3. Exploring Shapes Built from Cubes
  4. Faces and Edges of Polyhedrons
  5. Introducing Vectors
  6. Position and Coordinate Systems
  7. Prisms
  8. The Cartesian Coordinate System
  9. Three-Dimensional Figures
  10. Transformations
  11. Transformations of Figures
  12. Using Technology to Draw Shapes

07. Perimeter, Area, and Volume

  1. Areas of Polygons
  2. Circles: Circumference, Diameter, and Pi
  3. Circular Areas
  4. Converting Metric Units of Area and Volume
  5. Distance on Speed vs Time Graphs
  6. Finding Surface Area and Volume
  7. Measuring Length and Area
  8. Metric Units of Length and Area
  9. Perimeter and Area
  10. Solving Geometric Word Problems
  11. Surface Area
  12. Surface Area and Volume of Prisms
  13. Using the Coordinate Plane to Solve Problems

08. Analyzing and Displaying Data

  1. Comparing Two Sets of Data
  2. Displaying Data with Graphs
  3. Frequency and Relative Frequency
  4. Mean, Median, Mode, and Range
  5. Measures of Central Tendency
  6. More on Mean, Median, Mode, and Range
  7. Organizing Data
  8. Reading Graphs and Misleading Graphs
  9. Reading Tables and Graphs
  10. Scatter Plots and Lines of Best Fit
  11. Secondary Data
  12. Visualizing and Organizing Data
  13. Working with Surveys and Survey Data

09. Probability

  1. Experimental and Theoretical Probability
  2. Foundations of Probability
  3. Probability of Events and Their Complements
  4. Probability of Simple Events
  5. Probability With and Without Replacements
  6. The Language of Probability

10. Problem Solving

  1. Money Math Using Euros
  2. Solving Distance, Rate, and Time Problems
  3. Solving Problems Step by Step
  4. Solving Word Problems
  5. Using Visual Aids to Solve Problems
  6. Work, Rate, and Divisibility Problems

11. Mental, Written, and Calculator Computations

  1. Doing Arithmetic Using Written Skills
  2. Fractions, Decimals, and Percents with Mental Math
  3. Solving Applied Problems with a Calculator
  4. Solving Arithmetic Problems with a Calculator
  5. Solving Arithmetic Problems with Writing
  6. Using a Calculator with Parentheses

Science

01. Life Processes and Cell Functions

  1. Animal and Plant Cells
  2. Human Organ Systems
  3. Life Processes
  4. Specialized Cells
  5. Structure of Flowering Plants

02. Humans as Organisms

  1. Absorption and Waste
  2. Adolescence
  3. Breathing
  4. Development of the Fetus
  5. Digestion
  6. Drugs and Health
  7. Fighting Disease
  8. Human Reproduction
  9. Human Respiration
  10. Nutrition
  11. Smoking
  12. The Skeleton and Movement

03. Green Plants as Organisms

  1. Factors Affecting Photosynthesis
  2. Photosynthesis and Food Production
  3. Plant Growth
  4. Respiration in Plants

04. Variation, Classification, and Inheritance

  1. Causes of Variation
  2. Classification
  3. Inheritance
  4. Variation

05. Living Things in Their Environment

  1. Adaptation
  2. Food Chains
  3. Food Webs
  4. Habitats
  5. Survival
  6. Sustainable Development

06. Grouping and Classifying Materials

  1. Compounds
  2. Elements
  3. Mixtures
  4. Naming Compounds
  5. Particle Theory
  6. Physical Changes
  7. Properties of Metals
  8. Properties of Non-Metals
  9. Separating Mixtures
  10. Solids, Liquids, and Gases

07. Changing Materials

  1. Chemical Reactions
  2. Geological Changes
  3. Physical Changes in Materials
  4. Rock Formation
  5. Solutions
  6. The Effects of Combustion

08. Patterns of Behavior

  1. Acid Reactions
  2. Acids and Bases
  3. Displacement Reactions
  4. Neutralization
  5. The Reactivity of Metals

09. Electricity

  1. Electric Current
  2. Electrical Circuits
  3. Electromagnets
  4. Magnets
  5. Series and Parallel Circuits

10. Forces and Motion

  1. Balanced and Unbalanced Forces
  2. Force and Rotation
  3. Friction
  4. Pressure
  5. Speed
  6. Torque
  7. Weight

11. Light and Sound

  1. Color
  2. Hearing
  3. Light
  4. Reflection
  5. Refraction
  6. Sound

12. The Earth and Beyond

  1. Satellites
  2. The Night Sky
  3. The Rotating Earth
  4. The Solar System

13. Energy Resources and Energy Transfer

  1. Energy Conservation
  2. Energy Resources
  3. Generating Electricity
  4. Heat and Temperature
  5. The Sun’s Energy
  6. Transfer of Energy

Example Lessons

Science

Math

LOWER SECONDARY

No. of Lessons:
.

Maths - 137
Physics - 111
Biology - 101
Chemistry - 99

No. of ePages:
.

1737
861
849
761
Films & AnimationsSimulationsIllustrationsPhotos & Slideshows
897609320103
746352874528
4131446551171
10581755251118

Tables of Contents:

Maths

01. Numbers (1)

  1. Integers
  2. Divisibility
  3. Prime factor decomposition
  4. Fractions
  5. Operations on fractions
  6. Decimals
  7. Decimals and fractions
  8. General division
  9. Powers and roots
  10. Standard index form
  11. Use of a calculator

02. Geometry and transformations

  1. Triangles
  2. Congruence of triangles
  3. Quadrilaterals and their properties
  4. Polygons and regular polygons
  5. Coordinates
  6. Symmetry
  7. Translations, reflections, rotations
  8. Enlargements
  9. Similarity
  10. Similarity – solving problems

03. Algebraic expressions

  1. Algebraic expressions
  2. Multiplying out the brackets
  3. Multiplication formulas
  4. Factorisation (by grouping)
  5. Factorisation (other methods)
  6. More factorisation

04. Algebraic fractions (1)

  1. Solving equations involving algebraic fractions
  2. Changing the subject of the formula

05. Reasoning

  1. Mathematical statements
  2. Deductive reasoning
  3. Understanding the theorem
  4. Problem solving
  5. Problem assumptions

06. Sets

  1. Sets

07. Handling Data

  1. Problem specification
  2. Sampling
  3. Representing data
  4. Measures of central tendency – the arithmetic mean
  5. Measures of central tendency – the mode, the median
  6. Measures of variability (1)
  7. Measures of variability (2)
  8. Cumulative frequency curve
  9. Skewness
  10. Case study (1)
  11. Case study (2)

08. Geometry – Pythagorean theorem

  1. Pythagorean theorem
  2. Application of the Pythagorean theorem in 2-D
  3. Application of the Pythagorean theorem in 3-D
  4. Ruler-and-compass constructions, locus (1)
  5. Ruler-and-compass constructions, locus (2)

09. The circle

  1. The circle
  2. Circle theorems
  3. Inscribed and central angles
  4. Equation of a circle
  5. Mutual position of two circles
  6. Mutual position of a line and a circle
  7. Circles inscribed and circumscribed
  8. Solving problems involving circles

10. Percentages

  1. Percentages
  2. Solving problems involving percentages
  3. Repeated percentage change

11. Sequences

  1. Looking for the pattern
  2. Finding the nth term of a sequence

12. Ratio and proportion

  1. Ratios
  2. Proportions
  3. Direct proportion
  4. Inverse proportion
  5. Rates of change

13. Trigonometry (1)

  1. Trigonometric ratios in a right-angled triangle
  2. Solving problems involving trigonometric ratios
  3. Trigonometry of a general angle
  4. Properties of trigonometric functions of a general angle (1)
  5. Properties of trigonometric functions of a general angle (2)
  6. Graphs of trigonometric functions
  7. Use of a calculator

14. Probability

  1. Random processes
  2. Counting problems
  3. Classical concept of probability (1)
  4. Classical concept of probability (2)
  5. The set of possible outcomes
  6. Mutually exclusive events
  7. Independent events (1)
  8. Independent events (2)
  9. Solving simple problems in probability

15. Graphs of different functions

  1. A function and its graph
  2. Equation of a straight line
  3. Linear function
  4. Quadratic function (1)
  5. Quadratic function (2)
  6. Other functions
  7. Graphs and real-life situations

16. Measures on the plane and in space

  1. Measuring (1)
  2. Measuring (2)
  3. Areas of plane shapes (1)
  4. Areas of plane shapes (2)
  5. Volume and surface area of prisms
  6. Volume and surface area of pyramids
  7. Volume and surface area of cylinders and spheres
  8. Volume and surface area of cones
  9. Volumes of similar solids

17. Solving equations

  1. Linear equations, solving linear equations
  2. Solving simultaneous linear equations (1)
  3. Solving simultaneous linear equations (2)
  4. Solving problems involving simultaneous equations
  5. Solving quadratic equations
  6. The quadratic formula
  7. Solving problems involving quadratic equations (1)
  8. Solving problems involving quadratic equations (2)
  9. Solving equations by trial and error (1)
  10. Solving equations by trial and error (2)

18. Algebraic fractions (2)

  1. Inequalities (1)
  2. Inequalities (2)

19. Numbers (2)

  1. Powers, roots and indices
  2. Irrational numbers

20. Vectors

  1. Vectors
  2. Operations on vectors
  3. Scalar multiple
  4. Applications of vectors

21. Correlation and regression

  1. Sampling techniques
  2. Regression line
  3. Correlation
  4. Analysing and comparing sets of data
  5. Using probability to analyse random events

22. Trigonometry (2)

  1. Trigonometric equations (1)
  2. Trigonometric equations (2)
  3. The sine formula for the area of a triangle
  4. Solving problems involving trigonometric equations
  5. Pythagorean theorem and trigonometry in 3-D

23. Transformations of graphs

  1. Transforming graphs of various functions
  2. Transforming graphs of trigonometric functions (1)
  3. Transforming graphs of trigonometric functions (2)
  4. Using graphs (1)
  5. Using graphs (2)
  6. Graphs of simple loci
  7. Area under a curve
  8. Tangents to graphs

Physics

01. Forces

  1. Forces
  2. Addition of forces
  3. Force measurement
  4. The moment of a force
  5. Equilibrium
  6. Levers and pulleys

02. Motion

  1. Displacement, distance and velocity
  2. Acceleration
  3. Graphs of motion
  4. Accelerating motion
  5. Curvilinear motion

03. Forces and motion

  1. Force and acceleration
  2. Momentum
  3. Inertia
  4. Friction
  5. Air resistance
  6. The force of reaction

04. Energy

  1. Work
  2. Potential energy
  3. Kinetic energy
  4. Energy conversions
  5. Power
  6. Efficiency

05. Gravitation

  1. Gravitation
  2. Free fall
  3. Space flights
  4. Satellites

06. Matter

  1. Gases, liquids and solids
  2. Properties of matter
  3. Density
  4. Temperature
  5. Thermal expansion
  6. Expansion of gases

07. Pressure

  1. Pressure
  2. Pressure of a liquid
  3. Air pressure
  4. Gas laws
  5. Buoyant force
  6. Floating bodies

08. Heat

  1. Specific heat
  2. Thermal transfer
  3. Melting and freezing
  4. Evaporation and condensation
  5. Sources of heat
  6. Efficiency and economy

09. Electrostatics

  1. Charging objects
  2. Conductors and insulators
  3. Capacitors
  4. Application of static electricity and the threats it poses

10. Direct current

  1. Cells and batteries
  2. Electric current
  3. Ohm’s Law
  4. Direct current circuit
  5. Variable resistors and nonlinear resistors
  6. Work and power of current

11. Magnetism

  1. Magnetic field
  2. Electromagnets
  3. Electromagnetic force
  4. Electric motor
  5. CRT and an oscilloscope

12. Alternating current

  1. Electromagnetic induction
  2. Alternating current and a generator
  3. Transformer
  4. Transfer of electrical energy
  5. Current in a household
  6. Electric energy and methods of energy saving

13. Electronics

  1. Diode
  2. Power supply units and rectifiers
  3. Light and current
  4. Transistor
  5. Logic gates
  6. Digital systems

14. Oscillations and mechanical waves

  1. Oscillations
  2. Resonance
  3. Mechanical waves
  4. Reflection and refraction of waves
  5. Seismic waves
  6. Diffraction and interference of mechanical waves

15. Sounds

  1. Sound
  2. Infrasound and ultrasound
  3. Interference of sound waves
  4. Sounds in music
  5. Sound intensity
  6. Doppler effect

16. Electromagnetic waves

  1. Electromagnetic waves
  2. Laser
  3. Diffraction and interference
  4. The ranges of electromagnetic waves
  5. Threats related to electromagnetic waves
  6. Application of waves for communication

17. Light

  1. Reflection of light
  2. Spherical mirrors
  3. Refraction of light
  4. A lens
  5. Optical instruments
  6. The eye
  7. Colours

18. Nuclear physics

  1. Structure of an atom
  2. Nuclear radiation
  3. Decay Law
  4. Affect of radiation on live organisms
  5. Application of radioactivity
  6. Nuclear fission
  7. Nuclear energy
  8. Nuclear fusion

19. Earth and the Universe

  1. The Solar System
  2. The Moon
  3. Eclipses
  4. The structure and the evolution of stars
  5. Galaxies
  6. The Universe

Biology

01. The cell – the basic unit of living organisms

  1. Structure of plant and animal cells
  2. Microscopes and the size of cells
  3. Chemical composition of cells
  4. The nucleus as a store of genetic material
  5. Cell division
  6. Cell specialization
  7. Transport across membranes
  8. Metabolic transformations in a cell
  9. Plant tissues
  10. Animal tissues

02. The diversity of living organisms

  1. Classification of organisms
  2. Prokaryotes, protists and fungi
  3. Plants
  4. Invertebrates
  5. Reproduction in invertebrates
  6. Vertebrates
  7. Reproduction in vertebrates
  8. Viruses

03. Circulation

  1. Blood
  2. Blood Vessels
  3. Blood groups and the Rhesus factor
  4. The circulatory system
  5. Effects of physical effort on the functioning of the circulatory system
  6. Risk factors for heart attack

04. Nutrition

  1. Nutrients
  2. The human alimentary canal
  3. Digestion
  4. Absorption

05. Respiration

  1. The respiratory system
  2. Cellular respiration and energy production

06. Nervous system

  1. The nervous system as a receptor of environmental stimuli
  2. Nervous system
  3. The peripheral nervous system
  4. Reflex responses of the nervous system
  5. Sensory organs
  6. The eye and the ear

07. Hormones

  1. Hormones and endocrine glands
  2. Hormonal regulation of metabolic processes
  3. Sex hormones

08. Human locomotion system

  1. The skeletal system
  2. Skeletal muscles

09. Homeostasis

  1. Homeostasis
  2. Regulation of the amount and composition of systemic fluids by the kidneys
  3. Thermoregulation

10. Human reproduction

  1. The reproductive system
  2. Development of the human embryo

11. Health and diseases

  1. The human immune system
  2. Vaccinations
  3. Bacterial diseases
  4. Viral diseases
  5. Human immunodeficiency virus (HIV)
  6. Antiseptics and antibiotics
  7. Parasitic diseases
  8. Effects of drugs, cigarettes and alcohol on the organism

12. Plant nutrition

  1. Photosynthesis
  2. Mineral nutrition in plants
  3. Crop production
  4. Carnivorous plants

13. Plant reproduction

  1. Plant reproduction
  2. Seed germination and plant growth

14. Transport in plants and plant movements

  1. Water transport in plants
  2. Transport and accumulation of organic substances in plants
  3. Responsiveness and plant movements

15. Variation in organisms

  1. Variation of organisms
  2. Reproduction and variation
  3. Mutations as a source of variation in organisms

16. Heredity

  1. Heredity according to Mendel
  2. The principles of sex inheritance in humans
  3. The chromosomal theory of inheritance
  4. Genetic diseases
  5. Inheritance of blood groups in humans
  6. Nucleic acids
  7. The gene as a structural and functional unit of DNA
  8. Mutations as changes in DNA

17. Evolution

  1. The origin of life on Earth
  2. Charles Darwin and the theory of evolution
  3. Laws of evolution and speciation
  4. The history of life on Earth
  5. Human evolution

18. How we combat microorganisms and how we use them

  1. Bacterial growth
  2. Protecting food from spoilage
  3. Biotechnology past and present
  4. Industrial uses of bacteria

19. Genetic engineering

  1. Genetic engineering and its applications in biotechnology
  2. Other applications of genetic engineering
  3. Genetic modification of organisms

20. Living organisms and their environment

  1. The individual and the population
  2. Competition. Predation
  3. Symbiosis
  4. Life on land
  5. Life in water
  6. Adaptations of organisms to the environment
  7. Different modes of feeding in mammals
  8. Humans and environment
  9. Environmental pollution
  10. The greenhouse effect and the ozone hole
  11. Conservation of natural resources

21. The flow of energy and matter, information exchange

  1. Ecosystem
  2. Food chains
  3. Information in nature
  4. Biogeochemical cycles

Chemistry

01. States of matter

  1. Basic properties of matter
  2. Gases
  3. Liquids
  4. Solids
  5. Changes of state
  6. Physical changes accompanying heating and cooling
  7. Diffusion and dissolving
  8. Gas laws. Part I
  9. Gas laws. Part II

02. Elements, compounds and mixtures

  1. Elements
  2. Chemical compounds
  3. Mixtures

03. Atomic structure

  1. Early atomic theories
  2. The structure of the atom
  3. Relative atomic mass
  4. Continuous and line spectra
  5. The Bohr model of the atom
  6. The electron configuration of an atom

04. Bonding

  1. Ionic bonding. Part I
  2. Ionic bonding. Part II
  3. Covalent bonding. Part I
  4. Covalent bonding. Part II
  5. Simple and giant molecular solids
  6. Allotropes
  7. Metallic bonding
  8. Alloys

05. Representing chemical reactions

  1. Chemical and physical change
  2. Chemical equations
  3. Reaction types

06. Quantitative aspects of chemical reactions

  1. Atomic and molecular mass
  2. The mole
  3. Using the mole concept

07. Acids, bases and salts

  1. Properties of acids
  2. Properties of bases
  3. Indicators and pH
  4. Neutralisation reactions
  5. Salts
  6. Reactions of acids and bases
  7. Acid-base titrations

08. Water and water solutions

  1. Properties of water
  2. Solubility in water
  3. Natural waters
  4. Colloids. Washing in water

09. The periodic table and chemical properties of the elements

  1. The periodic table
  2. Noble gases
  3. Alkali metals
  4. Reactions of alkali metals
  5. Alkaline earth metals. Group 2
  6. Halogens. Group 17
  7. Reactions of the halogens
  8. Transition elements

10. Reactivity of metals

  1. The reactivity series
  2. Reactions involving metals
  3. Electrochemical cells

11. Electrolysis

  1. Conductivity of chemical substances
  2. Electrolysis. Part I
  3. Electrolysis. Part II

12. Organic chemistry

  1. Alkanes
  2. Isomerism of alkanes
  3. Alkenes
  4. Alcohols
  5. Carboxylic acids

13. Chemical reactions

  1. Exothermic and endothermic reactions
  2. Reversible reactions and chemical equilibrium
  3. Reaction rate
  4. Factors affecting reaction rate
  5. Catalysts
  6. Enzymes – biological catalysts

14. Useful products from organic sources

  1. Fossil fuels and crude oil
  2. Cracking and combustion of hydrocarbons
  3. Polymers
  4. Environmental impact of oil products

15. Useful products from rocks

  1. Metals from metal ores
  2. Iron
  3. Aluminium
  4. Copper and titanium
  5. Industrial uses of limestone
  6. Sulphur and sulphuric(VI) acid

16. Useful products from air

  1. Air
  2. Ammonia and nitric acid
  3. Fertilisers

17. Food and drugs

  1. Carbohydrates
  2. Proteins
  3. Fats
  4. Food and drugs

18. Chemistry and the Earth

  1. The structure of the Earth
  2. Tectonic plates
  3. Tectonic movements, earthquakes and volcanoes
  4. Igneous rocks
  5. Sedimentary rocks. Part I
  6. Sedimentary rocks. Part II
  7. Metamorphic rocks and the rock cycle
  8. The atmosphere
  9. Oceans

19. Laboratory techniques and analytical tests

  1. Handling liquids
  2. Handling solids. Heating
  3. Gases: handling and laboratory tests
  4. Testing for ions

20. Safety in the chemical laboratory

  1. Safety in the chemical laboratory

Example Lessons

Lower Secondary Chemistry

Lower Secondary Math

Lower Secondary Physics

Lower Secondary Biology

UPPER SECONDARY

No. of Lessons:
.

Maths - 114
Physics - 119
Biology - 100
Chemistry - 100

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Tables of Contents:

Maths

01. Numbers

  1. Surds

02. Quadratic functions

  1. Quadratic functions, graphs
  2. Factorisation of quadratic functions
  3. Quadratic equations
  4. Simultaneous equations
  5. Inequalities
  6. Quadratic inequalities

03. Polynomials

  1. Presentation of polynomials
  2. Algebraic manipulation of polynomials
  3. Division of polynomials
  4. The factor and remainder theorems
  5. Factorisation of polynomials
  6. Factorisation and roots of polynomials

04. Graphs of polynomials

  1. Sketching graphs
  2. Graphical solution of equations (1)
  3. Graphical solution of equations (2)
  4. Graphical solution of inequalities (1)
  5. Graphical solution of inequalities (2)
  6. Translations and graphs

05. Coordinate geometry

  1. Equation of a straight line
  2. Parallel and perpendicular lines
  3. Coordinate geometry of a circle
  4. The tangent
  5. The normal
  6. Intersection points
  7. Intersection points

06. Differentiation

  1. The derivative
  2. Differentiation of simple functions
  3. Differentiation of polynomials
  4. Finding gradients, tangents and normals
  5. Monotonicity
  6. Local extrema, stationary points, critical points
  7. Finding local extrema
  8. Finding maximum and minimum values
  9. Second-order derivatives

07. Integration

  1. The anti-derivative
  2. Integrating
  3. The definite integral
  4. Area under the curve

08. Numbers

  1. Laws of indices – rational exponents

09. Graph transformations

  1. Transformations of graphs (1)
  2. Transformations of graphs

10. Sequences and series

  1. Sequences
  2. Arithmetic sequence
  3. Arithmetic series
  4. Geometric sequence
  5. Geometric series
  6. Infinite convergent geometric series
  7. The binomial expansion

11. Trigonometry

  1. General angles
  2. General angles, angle measures
  3. Basic trigonometric functions
  4. Graphs of trigonometric functions
  5. Simple trigonometric equations
  6. Solving simple trigonometric equations
  7. The area of a triangle
  8. The sine rule
  9. The cosine rule
  10. Measuring the circle

12. Exponentials and logarithms

  1. Exponential functions
  2. The logarithm
  3. Basic exponential equations
  4. Exponential inequalities

13. Differentiation

  1. Derivatives of powers with rational exponent

14. Integration

  1. Integrals of powers with rational exponent
  2. Approximation of the area under a curve

15. Functions

  1. Functions – basic notions
  2. Composition of functions
  3. Inverse function
  4. The modulus function
  5. Transformation of graphs

16. Trigonometry

  1. Inverse trigonometric functions
  2. Other trigonometric functions
  3. Identities for trigonometric functions

17. Exponentials and logarithms

  1. The natural exponential function
  2. The natural logarithmic function

18. Differentiation

  1. Derivatives of exponential and logarithmic functions
  2. Derivatives of trigonometric functions
  3. Differentiation rules (1)
  4. Differentiation rules (2)

19. Integration

  1. Integration of selected functions
  2. Integration methods
  3. Integration methods
  4. Volumes of revolution

20. Numerical methods

  1. Zeros of a function
  2. Approximate solution of equations
  3. Numerical integration – mid-ordinate rule
  4. Numerical integration – Simpson’s rule

21. Rational functions

  1. Rational expressions
  2. Rational functions
  3. Algebraic division
  4. Partial fractions

22. Coordinate geometry

  1. Equations of curves
  2. Parametric equations of curves

23. Sequences and series

  1. Binomial series
  2. Expansion of rational functions

24. Trigonometry

  1. Trigonometric functions of the sum and difference of angles
  2. Trigonometric functions of the sum and difference of angles
  3. Double-angle formulas

25. Exponentials and logarithms

  1. Exponential growth and decay

26. Differentiation and integration

  1. Differential equations
  2. Equations with separable variables
  3. Implicit differentiation
  4. Parametric differentiation
  5. Tangents and normals for implicitly and parametrically defined curves
  6. Integration using partial fractions

27. Vectors

  1. Vectors
  2. Algebraic operations on vectors
  3. Position vectors
  4. Vector equations of lines in 2-D
  5. Vector equations of lines in 3-D
  6. The scalar product 1
  7. The scalar product 2
  8. Perpendicular distance from a point to a line

Physics

01. Statics

  1. Forces
  2. Addition of forces
  3. Torque
  4. Equilibrium
  5. Forces and moments of forces in constructions

02. Kinematics

  1. Uniform motion
  2. Accelerating motion
  3. Distance in accelerating motion
  4. Description of motion in terms of vectors
  5. Circular motion
  6. Projectile motions

03. Dynamics

  1. The First and the Third Law of Motion
  2. Momentum
  3. Newton’s Second Law of Motion
  4. Forces in curvilinear motions
  5. Friction
  6. Air drag

04. Energy

  1. Work and energy
  2. Potential energy and kinetic energy
  3. Internal energy
  4. Power
  5. Collisions
  6. Simple machines

05. Rotational motion

  1. Angular velocity and angular acceleration
  2. Newton’s Second law for rotational motion
  3. Angular momentum
  4. Energy of rotational motion

06. Gravitational field

  1. Gravitational force
  2. Gravitational acceleration
  3. Potential energy
  4. Potential
  5. Satellites

07. Matter

  1. Density
  2. Stresses
  3. Hooke’s Law
  4. Temperature
  5. Heat transfer
  6. The states of matter

08. Mechanics of Fluids

  1. Hydrostatic pressure
  2. Atmospheric pressure
  3. Pascal’s Law
  4. Archimedes’ Principle
  5. Bernoulli’s Principle
  6. Movement of bodies in liquids

09. Gas Laws

  1. Gas transformations
  2. The Ideal Gas Equation
  3. Kinetic theory of gases
  4. Molar specific heat of a gas
  5. Adiabatic transition

10. Thermodynamics

  1. The First Law of Thermodynamics
  2. Heat engine
  3. Specific heat
  4. Sources of heat
  5. The Second Law of Thermodynamics

11. Electrostatics

  1. Coulomb’s Law
  2. Electric field
  3. Potential
  4. Capacitance
  5. Capacitors

12. Direct current

  1. Electric current
  2. Electrical resistance
  3. Resistors
  4. Electromotive force
  5. Work and power of electric current

13. Magnetism

  1. Magnetic field
  2. The magnetic field around current – carrying wires
  3. Electromagnetic force
  4. Application of electromagnetic forces
  5. The movement of a charge in a magnetic field

14. Alternating current

  1. Phenomenon of electromagnetic induction
  2. Generator and alternating current
  3. Transformer
  4. Transmission of electrical energy
  5. Current in a household

15. Electronics

  1. Electronics
  2. Light and current
  3. Transistors and gates
  4. Digital systems

16. Harmonic motion

  1. Oscillations
  2. Pendulum
  3. Energy of oscillations
  4. Resonance

17. Mechanical waves

  1. Mechanical waves
  2. Reflection and refraction of waves
  3. Diffraction and interference of mechanical waves
  4. Oscillations of a string
  5. The intensity of a wave
  6. The Doppler effect

18. Electromagnetic waves

  1. Electromagnetic waves
  2. Diffraction and interference
  3. Polarisation
  4. Application of waves for communication
  5. Signal encoding

19. Optics

  1. Reflection and refraction of light
  2. Spherical mirrors
  3. Lenses
  4. Optical instruments
  5. An eye

20. Atomic physics

  1. Radiation of objects
  2. External photoelectric effect
  3. Emission and absorption spectra
  4. Electron energy levels in an atom
  5. X-rays
  6. Waves of matter

21. Nuclear physics

  1. The structure of atomic nucleus
  2. Nuclear radiation
  3. Decay law
  4. Stability of the nuclei
  5. Nuclear fusion
  6. Nuclear fission
  7. Elementary particles

22. Astrophysics

  1. The Solar System
  2. Classification of stars
  3. Evolution of stars
  4. Galaxies

23. Theory of relativity

  1. The speed of light
  2. Time and distance
  3. Mass, energy and momentum
  4. General theory of relativity

Biology

01. Chemistry of organisms

  1. Chemical elements of the cell
  2. Carbohydrates: their structure, properties, occurrence and importance
  3. Lipids: structure, properties, occurrence and importance
  4. Proteins
  5. Biochemical tests, chromatography, electrophoresis and separation of tissues

02. Basics of cytology

  1. Morphology of prokaryotic and eukaryotic cells as seen under the light microscope
  2. Current techniques in cytology
  3. Cell ultrastructures
  4. Specialization of cells
  5. Transport across membranes
  6. Cell division – mitosis
  7. Cell division – meiosis (reduction division)

03. Taxonomy

  1. Taxonomy
  2. Prokaryotes – simple organisms with no nucleus
  3. Protista
  4. Fungi
  5. Plants
  6. Animals – the invertebrates
  7. Animals – the vertebrates

04. Metabolism

  1. Enzymes as biocatalysts
  2. Industrial uses of enzymes
  3. Uses of enzymes in medical laboratories
  4. Metabolic transformations
  5. Autotrophic nutrition and photosynthesis
  6. Biochemistry of photosynthesis
  7. Factors affecting photosynthesis
  8. Cell respiration
  9. Aerobic respiration

05. Nervous coordination

  1. Excitability of neurones
  2. Transmission of nerve impulses from cell to cell – synapses
  3. Structure of the human nervous system
  4. Involuntary functioning of the nervous system
  5. Autonomic nervous system
  6. Receptors
  7. The eye
  8. Animal behaviour as a form of adaptation to the environment

06. Food ingestion and digestion

  1. Heterotrophic nutrition
  2. Nutrients
  3. Nutritional requirements
  4. The human alimentary system
  5. Food processing in the alimentary canal
  6. Absorption of digestion products
  7. Digestion of food rich in cellulose

07. Internal transport

  1. Transport of substances in animals
  2. Structure and functions of the heart
  3. Transport of substances in plants
  4. Transpiration

08. Respiratory gas exchange

  1. Respiratory surfaces
  2. Transport of respiratory gases
  3. Physiology of the human respiratory system

09. Physiology of muscles

  1. Physiology of muscle contractions
  2. Chemistry of muscle contraction

10. Reproduction

  1. Physiology of the human reproductive system
  2. Fertilization
  3. Development of the human embryo
  4. Birth control in humans and animals
  5. Growth and development of the organism
  6. The ageing process
  7. Sexual reproduction in plants

11. Homeostasis

  1. The concept of homeostasis
  2. Hormonal regulation
  3. Thermoregulation
  4. Regulation of glucose level in the blood
  5. The liver as a homeostatic organ
  6. Role of the kidneys in regulating water-electrolyte balance – Part 1
  7. Role of the kidneys in regulating water-electrolyte balance – Part 2
  8. Regulation of water loss in desert animals

12. Human health

  1. Characteristics of a healthy organism
  2. The concept of disease
  3. Bacterial diseases
  4. Parasitic diseases
  5. AIDS – an example of a viral disease
  6. Human immunity
  7. Coronary heart disease
  8. Cancer
  9. Actions of different groups of medicines

13. Genetic information

  1. DNA – the carrier of genetic material
  2. Organization of DNA in chromosomes
  3. Cloning of organisms
  4. Genetic code and protein synthesis
  5. Mutations
  6. Chromosomal mutations

14. Genetic engineering

  1. Genetic engineering techniques
  2. Medical applications of genetic engineering
  3. Transgenic organisms

15. Genetics according to Mendel

  1. Inheritance of a single trait
  2. Inheritance of two or more traits
  3. Inheritance of sex

16. Variation in organisms

  1. The nature of variation
  2. Factors influencing variation
  3. Elements of population genetics
  4. Speciation – the formation of species
  5. Different modes of speciation

17. Population

  1. Features of populations
  2. Biodiversity
  3. The ecosystem – an organized and functional unit of the natural environmental
  4. Energy flow and the circulation of matter
  5. Ecological succession
  6. Effects of human activity on ecosystems
  7. Agriculture – the conservation of biodiversity

Chemistry

01. Atomic structure

  1. The structure of the atom
  2. Development of atomic theory. Radioactivity
  3. Atomic spectra
  4. Electron configuration of atoms

02. Bonding

  1. Types of bonding
  2. Electronegativity and polarity
  3. Molecular shapes
  4. Valence bond theory and hybridisation

03. Phases and phase changes

  1. States of matter
  2. Phase changes
  3. Gas laws
  4. Intermolecular forces
  5. Structure of solids

04. Stoichiometric calculations

  1. Mole
  2. Chemical equations
  3. Practical importance of the mole
  4. Concentration

05. Periodic table

  1. The periodic table of the elements
  2. The trends in the properties of the elements in Period 3
  3. Periodic trends in the chemical properties of elements
  4. s-Block elements
  5. Chemical properties of s-block elements
  6. Elements of Group 17
  7. Reactions of halogens

06. Transition metals

  1. Electron configuration and periodic trends of transition elements
  2. Oxidation states of transition elements
  3. Transition metal complexes

07. Oxidation and reduction

  1. Oxidation states
  2. Redox reactions
  3. Extraction of metals. Part I
  4. Extraction of metals. Part II

08. Electrochemistry

  1. Voltaic cells
  2. Standard electrochemical potential
  3. Electrochemical series

09. Thermodynamics

  1. Enthalpy change and calorimetry
  2. Standard enthalpy change. Hess’s law
  3. Born-Haber cycle
  4. Enthalpy changes in the solution process
  5. Mean bond enthalpies
  6. Entropy
  7. Free energy

10. Reaction kinetics

  1. Reaction rate
  2. Collision theory
  3. Effect of concentration on reaction rate. Rate equation
  4. Effect of concentration on reaction rate. Graphical methods
  5. Effect of temperature and catalyst on the reaction rate
  6. Catalysts

11. Chemical equilibria

  1. Chemical equilibrium and equilibrium constant
  2. Factors affecting the chemical equilibrium
  3. Chemical equilibrium in the gas phase

12. Acids, bases and salts

  1. Dissociation of acids, bases and salts
  2. Brønsted-Lowry theory of acids and bases. Autoionisation of water
  3. pH as the universal acidity measure
  4. Weak acids and weak bases
  5. Salts in water solution
  6. Buffers
  7. Acid-base titration
  8. Titration curves

13. Reaction of metal ions in water solution

  1. Acid-base reactions of metal ions
  2. Ligand exchange reactions

14. Hydrocarbons

  1. Petroleum as the source of hydrocarbons
  2. Hydrocarbons as fuel
  3. Alkanes and cycloalkanes
  4. Chemistry of alkanes and cycloalkanes
  5. Alkenes
  6. Alkene reactions
  7. Haloalkanes
  8. Reactions of haloalkanes
  9. Alcohols
  10. Ethanol
  11. Reactions of alcohols

15. Compounds with the carbonyl group

  1. Aldehydes and ketones
  2. Reactions of aldehydes and ketones
  3. Carboxylic acids
  4. Functional derivatives of carboxylic acids

16. Aromatic compounds

  1. Benzene
  2. Electrophilic substitution

17. Organic compounds of nitrogen

  1. Structure and properties of amines
  2. Amines and amides: reactions and preparation
  3. Amino acids

18. Biologically important chemical compounds

  1. Fats and sugars
  2. Proteins and nucleic acids

Polymers

  1. Polymers types. Addition polymers
  2. Condensation polymers

General topics in organic chemistry

  1. Organic molecules
  2. Naming organic compounds
  3. Isomerism
  4. Organic reactions
  5. Analytical tests in organic chemistry

Spectrometric techniques

  1. Infra-red spectrometry. Part I
  2. Infra-red spectrometry. Part II
  3. Mass spectrometry. Part I
  4. Mass spectrometry. Part II
  5. Nuclear magnetic resonance (NMR) spectroscopy. Part I
  6. Nuclear magnetic resonance (NMR) spectroscopy. Part II
  7. Determination of molecular structure
  8. Absorption of visible light. Colorimetry

Environmental pollution by chemical products

  1. Pollution of air
  2. Pollution of water
  3. Pollution of land

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