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