Numbers
- A.1 Number lines
- A.2 Convert between decimals and fractions
- A.3 Identify rational and irrational numbers
- A.4 Compare and order rational numbers
- A.5 Prime factorisation
- A.6 Square roots
- A.7 Cube roots
Operations
- B.1 Add, subtract, multiply and divide integers
- B.2 Evaluate numerical expressions involving integers
- B.3 Evaluate variable expressions involving integers
- B.4 Add and subtract rational numbers
- B.5 Multiply and divide rational numbers
- B.6 Evaluate numerical expressions involving rational numbers
- B.7 Evaluate variable expressions involving rational numbers
Consumer maths
- C.1 Simple interest
- C.2 Compound interest
- C.3 Percent of a number: VAT, discount and more
- C.4 Find the percent: discount and mark-up
- C.5 Multi-step problems with percents
Linear equations
- D.1 Identify linear equations
- D.2 Find the slope of a graph
- D.3 Find the slope from two points
- D.4 Find a missing coordinate using slope
- D.5 Slope-intercept form: find the slope and y-intercept
- D.6 Slope-intercept form: graph an equation
- D.7 Slope-intercept form: write an equation from a graph
- D.8 Slope-intercept form: write an equation
- D.9 Slope-intercept form: write an equation from a table
- D.10 Slope-intercept form: write an equation from a word problem
- D.11 Write linear equations to solve word problems
- D.12 Compare linear equations, graphs and tables
- D.13 Write equations in standard form
- D.14 Standard form: find x- and y-intercepts
- D.15 Standard form: graph an equation
- D.16 Equations of horizontal and vertical lines
- D.17 Graph a horizontal or vertical line
- D.18 Slopes of parallel and perpendicular lines
- D.19 Write an equation for a parallel or perpendicular line
- D.20 Find the distance between a point and a line
- D.21 Find the distance between two parallel lines
Pairs of linear equations
- E.1 Is (x, y) a solution to the pair of equations?
- E.2 Solve a pair of equations by graphing
- E.3 Solve a pair of equations by graphing: word problems
- E.4 Find the number of solutions to a pair of equations by graphing
- E.5 Find the number of solutions to a pair of equations
- E.6 Solve a pair of equations using substitution
- E.7 Solve a pair of equations using substitution: word problems
- E.8 Solve a pair of equations using elimination
- E.9 Solve a pair of equations using elimination: word problems
Matrices
- F.1 Matrix vocabulary
- F.2 Matrix operation rules
- F.3 Add and subtract matrices
- F.4 Multiply a matrix by a scalar
- F.5 Multiply two matrices
Arithmetic sequences
- G.1 Arithmetic sequences
- G.2 Evaluate variable expressions for arithmetic sequences
- G.3 Write variable expressions for arithmetic sequences
- G.4 Partial sums of arithmetic series
- F.5 Multiply two matrices
Polynomials
- H.1 Polynomial vocabulary
- H.2 Model polynomials with algebra tiles
- H.3 Add and subtract polynomials using algebra tiles
- H.4 Add and subtract polynomials
- H.5 Add polynomials to find perimeter
- H.6 Multiply and divide monomials
- H.7 Powers of monomials
- H.8 Multiply a polynomial by a monomial
- H.9 Multiply two polynomials using algebra tiles
- H.10 Multiply two binomials
- H.11 Multiply two binomials: special cases
- H.12 Multiply polynomials
Factorising
- I.1 HCF of monomials
- I.2 Factorise out a monomial
- I.3 Factorise quadratics with leading coefficient 1
- I.4 Factorise quadratics with other leading coefficients
- I.5 Factorise quadratics: special cases
- I.6 Factorise quadratics using algebra tiles
- I.7 Factorise by grouping
- I.8 Factorise polynomials
Quadratic equations
- J.1 Characteristics of quadratic equations
- J.2 Complete a table: quadratic equations
- J.3 Solve a quadratic equation using square roots
- J.4 Solve a quadratic equation using the zero product property
- J.5 Solve a quadratic equation by factorising
- J.6 Complete the square
- J.7 Solve a quadratic equation by completing the square
- J.8 Solve a quadratic equation using the quadratic formula
- J.9 Using the discriminant
- J.10 Graph a quadratic equation
- J.11 Match quadratic functions and graphs
Rational expressions
- K.1 Simplify complex fractions
- K.2 Simplify rational expressions
- K.3 Multiply and divide rational expressions
- K.4 Divide polynomials
- K.5 Add and subtract rational expressions
- K.6 Solve rational equations
Points, lines and segments
- L.1 Lines, line segments and half lines
- L.2 Lengths of segments on number lines
- L.3 Additive property of length
- L.4 Midpoints
- L.5 Congruent line segments
- L.6 Perpendicular Bisector Theorem
- L.7 Midpoint formula
- L.8 Distance formula
Two-dimensional figures
- M.1 Polygon vocabulary
- M.2 Perimeter
- M.3 Area of triangles and quadrilaterals
- M.4 Area and perimeter in the coordinate plane I
- M.5 Area and perimeter in the coordinate plane II
- M.6 Area and circumference of circles
- M.7 Area of compound figures
- M.8 Area between two shapes
- M.9 Area and perimeter of similar figures
Transformations
- N.1 Translations: find the coordinates
- N.2 Reflections: find the coordinates
- N.3 Rotations: find the coordinates
- N.4 Congruence transformations
- N.5 Compositions of congruence transformations: graph the image
- N.6 Transformations that carry a polygon onto itself
- N.7 Dilations: graph the image
- N.8 Dilations: find the coordinates
- N.9 Dilations: scale factor and classification
- N.10 Dilations and parallel lines
Triangles
- O.1 Classify triangles
- O.2 Triangle Angle-Sum Theorem
- O.3 Midsegments of triangles
- O.4 Triangles and bisectors
- O.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
- O.6 Angle-side relationships in triangles
- O.7 Triangle Inequality Theorem
Similarity
- P.1 Identify similar figures
- P.2 Similarity ratios
- P.3 Similarity statements
- P.4 Side lengths and angle measures in similar figures
- P.5 Similar triangles and indirect measurement
- P.6 Perimeters of similar figures
- P.7 Similarity rules for triangles
- P.8 Similar triangles and similarity transformations
- P.9 Areas of similar figures
Right triangles
- Q.1 Pythagoras' Theorem
- Q.2 Converse of Pythagoras' theorem
- Q.3 Pythagoras' Inequality Theorems
- Q.4 Special right triangles
Circles
- R.1 Parts of a circle
- R.2 Central angles
- R.3 Arc measure and arc length
- R.4 Area of sectors
- R.5 Circle measurements: mixed review
- R.6 Arcs and chords
- R.7 Tangent lines
- R.8 Perimeter of polygons with an inscribed circle
- R.9 Inscribed angles
- R.10 Angles in inscribed right triangles
- R.11 Angles in inscribed quadrilaterals
Trigonometry
- S.1 Trigonometric ratios: sin, cos and tan
- S.2 Trigonometric ratios: csc, sec and cot
- S.3 Trigonometric functions of complementary angles
- S.4 Find trigonometric functions of special angles
- S.5 Find trigonometric functions using a calculator
- S.6 Inverses of trigonometric functions
- S.7 Trigonometric ratios: find a side length
- S.8 Trigonometric ratios: find an angle measure
- S.9 Solve a right triangle
Surface area and volume
- T.1 Introduction to surface area and volume
- T.2 Surface area of prisms and cylinders
- T.3 Surface area of cones
- T.4 Volume of prisms and cylinders
- T.5 Volume of cones
- T.6 Surface area and volume of spheres
- T.7 Introduction to similar solids
- T.8 Surface area and volume of similar solids
- T.9 Surface area and volume review
Measurement
- U.1 Convert rates and measurements
- U.2 Precision
- U.3 Greatest possible error
- U.4 Minimum and maximum area and volume
- U.5 Percent error
- U.6 Percent error: area and volume
Problem solving
- V.1 Consecutive integer problems
- V.2 Rate of travel: word problems
- V.3 Weighted averages: word problems
- V.4 Exponential growth and decay: word problems
Logic
- W.1 Identify hypotheses and conclusions
- W.2 Counterexamples
- W.3 Truth tables
- W.4 Truth values
- W.5 Conditionals
- W.6 Negations
- W.7 Converses, inverses and contrapositives
- W.8 Biconditionals
Probability
- X.1 Theoretical probability
- X.2 Experimental probability
- X.3 Compound events: find the number of outcomes
- X.4 Identify independent and dependent events
- X.5 Probability of independent and dependent events
- X.6 Geometric probability
- X.7 Counting principle
Statistics
- Y.1 Mean, median, mode and range
- Y.2 Quartiles
- Y.3 Identify biased samples
Data and graphs
- Z.1 Interpret histograms
- Z.2 Create histograms
- Z.3 Interpret stem-and-leaf plots
Constructions
- AA.1 Construct a tangent line to a circle
- AA.2 Construct an equilateral triangle inscribed in a circle
- AA.3 Construct a regular hexagon inscribed in a circle
- AA.4 Construct the circumcenter or incenter of a triangle
- AA.5 Construct the inscribed or circumscribed circle of a triangle