Class VIII Maths
Number theory
Integers
Operations with integers
- C.1 Integer addition and subtraction rules
- C.2 Add and subtract integers using counters
- C.3 Add and subtract integers
- C.4 Add and subtract three or more integers
- C.5 Add and subtract integers: word problems
- C.6 Integer multiplication and division rules
- C.7 Multiply and divide integers
- C.8 Evaluate numerical expressions involving integers
Rational numbers
Operations with rational numbers
- E.1 Reciprocals and multiplicative inverses
- E.2 Add and subtract rational numbers
- E.3 Add and subtract rational numbers: word problems
- E.4 Apply addition and subtraction rules
- E.5 Multiply and divide rational numbers
- E.6 Multiply and divide rational numbers: word problems
- E.7 Apply multiplication and division rules
- E.8 Apply addition, subtraction, multiplication and division rules
- E.9 Evaluate numerical expressions involving rational numbers
Exponents and roots
- F.1 Understanding exponents
- F.2 Evaluate exponents
- F.3 Solve equations with variable exponents
- F.4 Exponents with negative bases
- F.5 Exponents with decimal and fractional bases
- F.6 Understanding negative exponents
- F.7 Evaluate negative exponents
- F.8 Multiplication with exponents
- F.9 Division with exponents
- F.10 Multiplication and division with exponents
- F.11 Power rule
- F.12 Evaluate expressions using properties of exponents
- F.13 Identify equivalent expressions involving exponents
- F.14 Square roots of perfect squares
- F.15 Positive and negative square roots
- F.16 Estimate positive and negative square roots
- F.17 Relationship between squares and square roots
- F.18 Solve equations involving squares and square roots
- F.19 Cube roots of perfect cubes
- F.20 Estimate cube roots
- F.21 Solve equations involving cubes and cube roots
Scientific notation
Ratios, rates and proportions
- H.1 Understanding ratios
- H.2 Identify equivalent ratios
- H.3 Write an equivalent ratio
- H.4 Equivalent ratios: word problems
- H.5 Unit rates
- H.6 Compare ratios: word problems
- H.7 Solve proportions: word problems
- H.8 Do the ratios form a proportion?
- H.9 Do the ratios form a proportion: word problems
- H.10 Solve proportions
- H.11 Estimate population size using proportions
- H.12 Scale drawings: word problems
- H.13 Rate of change
- H.14 Constant rate of change
Proportional relationships
- I.1 Find the constant of proportionality from a table
- I.2 Write equations for proportional relationships from tables
- I.3 Identify proportional relationships by graphing
- I.4 Find the constant of proportionality from a graph
- I.5 Write equations for proportional relationships from graphs
- I.6 Identify proportional relationships
- I.7 Graph proportional relationships
- I.8 Interpret graphs of proportional relationships
- I.9 Write and solve equations for proportional relationships
Percents
- J.1 Convert between percents, fractions and decimals
- J.2 Compare percents to fractions and decimals
- J.3 Find what percent one number is of another
- J.4 Find what percent one number is of another: word problems
- J.5 Estimate percents of numbers
- J.6 Percents of numbers and money amounts
- J.7 Percents of numbers: word problems
- J.8 Compare percents of numbers
- J.9 Solve percent equations
- J.10 Percent of change
- J.11 Percent of change: word problems
Consumer maths
- K.1 Price lists
- K.2 Unit prices
- K.3 Unit prices: find the total price
- K.4 Percent of a number: VAT, discount and more
- K.5 Find the percent: discount and mark-up
- K.6 Sale prices: find the original price
- K.7 Multi-step problems with percents
- K.8 Estimate tips
- K.9 Simple interest
- K.10 Compound interest
Units of measurement
Problem solving
Coordinate plane
Two-dimensional figures
- O.1 Identify and classify polygons
- O.2 Classify triangles
- O.3 Identify trapeziums
- O.4 Classify quadrilaterals
- O.5 Graph triangles and quadrilaterals
- O.6 Properties of parallelograms
- O.7 Properties of rhombuses
- O.8 Properties of squares and rectangles
- O.9 Find missing angles in triangles and quadrilaterals
- O.10 Interior angles of polygons
- O.11 Lines, line segments and half lines
- O.12 Identify complementary, supplementary, vertical, adjacent and congruent angles
- O.13 Find measures of complementary, supplementary, vertical and adjacent angles
- O.14 Transversal of parallel lines
- O.15 Find lengths and measures of bisected line segments and angles
- O.16 Parts of a circle
- O.17 Symmetry
- O.18 Count lines of symmetry
- O.19 Draw lines of symmetry
Congruence and similarity
Constructions
Pythagoras’ theorem
Three-dimensional figures
Geometric measurement
- T.1 Perimeter
- T.2 Area
- T.3 Area between two shapes
- T.4 Area and perimeter: word problems
- T.5 Circles, semicircles and quarter circles
- T.6 Circles: word problems
- T.7 Volume of prisms and cylinders
- T.8 Surface area of prisms and cylinders
- T.9 Volume and surface area of similar solids
- T.10 Perimeter, area and volume: changes in scale
Number sequences
Expressions and properties
- V.1 Write variable expressions
- V.2 Write variable expressions from diagrams
- V.3 Write variable expressions: word problems
- V.4 Evaluate one-variable expressions
- V.5 Evaluate multi-variable expressions
- V.6 Evaluate absolute value expressions
- V.7 Evaluate radical expressions
- V.8 Evaluate rational expressions
- V.9 Identify terms and coefficients
- V.10 Sort factors of expressions
- V.11 Properties of addition and multiplication
- V.12 Multiply using the distributive property
- V.13 Simplify variable expressions using properties
- V.14 Add and subtract like terms
- V.15 Add, subtract and multiply linear expressions
- V.16 Factors of linear expressions
- V.17 Identify equivalent linear expressions
One-variable equations
- W.1 Which x satisfies an equation?
- W.2 Write an equation from words
- W.3 Model and solve equations using algebra tiles
- W.4 Write and solve equations that represent diagrams
- W.5 Properties of equality
- W.6 Solve one-step equations
- W.7 Solve two-step equations
- W.8 Solve multi-step equations
- W.9 Solve equations involving like terms
- W.10 Solve equations: complete the solution
- W.11 Solve equations: word problems
Monomials and polynomials
- X.1 Identify monomials
- X.2 Model polynomials with algebra tiles
- X.3 Add and subtract polynomials using algebra tiles
- X.4 Add and subtract polynomials
- X.5 Add polynomials to find perimeter
- X.6 Multiply monomials
- X.7 Divide monomials
- X.8 Multiply and divide monomials
- X.9 Powers of monomials
- X.10 Square and cube roots of monomials
- X.11 Multiply polynomials using algebra tiles
- X.12 Multiply polynomials
- X.13 Multiply polynomials to find area
Factorising
Data and graphs
- Z.1 Interpret tables
- Z.2 Interpret bar graphs
- Z.3 Create bar graphs
- Z.4 Interpret line graphs
- Z.5 Create line graphs
- Z.6 Interpret line plots
- Z.7 Create line plots
- Z.8 Interpret stem-and-leaf plots
- Z.9 Create stem-and-leaf plots
- Z.10 Interpret histograms
- Z.11 Create histograms
- Z.12 Create frequency charts
- Z.13 Interpret pie charts
- Z.14 Pie charts and central angles
- Z.15 Choose the best type of graph