Skip to content
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