📘 Year 9 Maths – FULL Curriculum
A. Number Theory
Prime or composite
Prime factorisation
Highest common factor
Lowest common multiple
HCF and LCM: word problems
Classify numbers
B. Integers
Integers on number lines
Graph integers on horizontal and vertical number lines
Compare and order integers
C. Operations with Integers
Add and subtract integers using number lines
Add and subtract integers using counters
Integer addition and subtraction rules
Add and subtract integers
Complete addition and subtraction sentences with integers
Add and subtract integers: word problems
Add and subtract three or more integers
Understand multiplying by a negative integer using a number line
Integer multiplication and division rules
Multiply and divide integers
Complete multiplication and division sentences with integers
Evaluate numerical expressions involving integers
D. Rational Numbers
Identify rational and irrational numbers
Convert between decimals and fractions or mixed numbers
Rational numbers on number lines
Compare and order rational numbers using number lines
Compare rational numbers
Put rational numbers in order
Compare and order rational numbers: word problems
E. Operations with Rational Numbers
Add and subtract positive and negative decimals
Add and subtract positive and negative fractions
Add and subtract rational numbers
Add and subtract positive rational numbers: word problems
Apply addition and subtraction rules
Multiply and divide positive and negative decimals
Multiply and divide positive and negative fractions
Multiply and divide rational numbers
Multiply and divide positive rational numbers: word problems
Apply multiplication and division rules
Apply addition, subtraction, multiplication and division rules
Add, subtract, multiply and divide rational numbers
Evaluate numerical expressions involving rational numbers
F. Indices and Roots
Understanding indices
Evaluate indices
Solve equations with variable indices
Powers of ten
Indices with negative bases
Indices with decimal and fractional bases
Understanding negative indices
Evaluate negative indices
Multiplication with indices
Division with indices
Multiplication and division with indices
Power rule
Evaluate expressions using properties of indices
Identify equivalent expressions involving indices I
Identify equivalent expressions involving indices II
Square roots of perfect squares
Positive and negative square roots
Estimate positive and negative square roots
Relationship between squares and square roots
Solve equations involving squares and square roots
Cube roots of perfect cubes
Estimate cube roots
G. Standard Form
Convert between ordinary numbers and standard form
Standard form on calculators
Compare numbers written in standard form
H. Ratios, Rates and Proportions
Identify equivalent ratios
Write an equivalent ratio
Equivalent ratios: word problems
Compare ratios: word problems
Unit rates
Equivalent rates
Calculate speed, distance or time: word problems
Compare rates: word problems
Ratios and rates: word problems
Scale drawings: word problems
Scale drawings: scale factor word problems
Do the ratios form a proportion?
Do the ratios form a proportion: word problems
Solve proportions
Solve proportions: word problems
I. Direct and Inverse Proportions
Find the constant of proportionality from a table
Write equations for proportional relationships from tables
Identify proportional relationships by graphing
Find the constant of proportionality from a graph
Write equations for proportional relationships from graphs
Identify proportional relationships from graphs and equations
Identify proportional relationships from tables
Complete a table and graph a proportional relationship
Graph proportional relationships
Interpret graphs of proportional relationships
Write and solve equations for proportional relationships
Identify direct variation and inverse variation
Write inverse variation equations
Write and solve inverse variation equations
J. Percents
Convert between percents, fractions and decimals
Convert between percents, fractions and decimals: word problems
Compare percents to fractions and decimals
Estimate percents of numbers
Percents of numbers and money amounts
Percents of numbers: word problems
Compare percents of numbers
Find what percent one number is of another
Find what percent one number is of another: word problems
Find the total given a part and a percent
Solve percent equations
Solve percent equations: word problems
Percent of change
Percent of change: word problems
Percent of change: find the original amount word problems
K. Consumer Maths
Price lists
Unit prices
Unit prices: find the total price
Percent of a number: VAT, discount and more
Find the percent: discount and mark-up
Sale prices: find the original price
Multi-step problems with percents
Estimate tips
Simple interest
Compound interest
L. Units of Measurement
Convert rates and measurements: metric units
Multi-step problems with metric unit conversions
Metric mixed units
Convert between square metres and hectares
Convert square and cubic units of length
Convert between cubic metres and litres
Convert rates and measurements: imperial units
Imperial mixed units
Convert between metric and imperial units
Precision
Greatest possible error
Minimum and maximum area and volume
Percent error
Percent error: area and volume
M. Problem Solving
Multi-step word problems
Multi-step word problems: identify reasonable answers
Guess-and-check word problems
Use Venn diagrams to solve problems
N. Coordinate Plane
Coordinate plane review
Quadrants and axes
Follow directions on a coordinate plane
Find the distance between two points
O. Number Sequences
Identify arithmetic and geometric sequences
Arithmetic sequences
Geometric sequences
Number sequences: mixed review
Number sequences: word problems
Evaluate variable expressions for arithmetic sequences
Evaluate variable expressions for geometric sequences
Write variable expressions for arithmetic sequences
P. Expressions and Properties
Write variable expressions
Write variable expressions from diagrams
Evaluate one-variable expressions
Evaluate multi-variable expressions
Evaluate radical expressions
Evaluate rational expressions
Identify terms and coefficients
Properties of addition and multiplication
Add and subtract like terms
Multiply using the distributive property: area models
Multiply using the distributive property
Factors of linear expressions
Sort factors of expressions
Write equivalent expressions using properties
Simplify linear expressions
Identify equivalent linear expressions
Identify equivalent linear expressions: word problems
Q. One-Variable Equations
Which x satisfies an equation?
Write an equation from words
Model and solve equations using algebra tiles
Write and solve equations that represent diagrams
Properties of equality
Solve two-step equations
Solve two-step equations: word problems
Solve multi-step equations
Solve multi-step equations with fractional coefficients
Solve equations involving like terms
Solve equations with variables on both sides
Solve equations: mixed review
Solve equations: complete the solution
Rearrange multi-variable equations
R. One-Variable Inequalities
Solutions to inequalities
Graph inequalities on number lines
Write inequalities from number lines
Write and graph inequalities: word problems
Solve one-step inequalities
Graph solutions to one-step inequalities
One-step inequalities: word problems
Solve two-step linear inequalities
Graph solutions to two-step inequalities
Solve multi-step inequalities
Graph solutions to multi-step inequalities
S. Functions
Identify functions
Identify independent and dependent variables
Evaluate a linear function: word problems
Rate of change
Constant rate of change
Identify linear and nonlinear functions
Find values using function graphs
Complete a table for a function graph
T. Linear Functions
Does (x, y) satisfy the linear equation?
Complete a table for a linear equation
Complete a table and graph a linear equation
Interpret points on the graph of a line: word problems
Find the gradient of a graph
Find the gradient from two points
Find a missing coordinate using gradient
Find the gradient and y-intercept of a linear equation
Graph a line using gradient
Graph an equation in y = mx + c form
Write an equation in y = mx + c form from a gradient and y-intercept
Write an equation in y = mx + c form from a graph
Write an equation in y = mx + c form from a gradient and a point
Write an equation in y = mx + c form from two points
Write a linear equation from a table
Write a linear equation: word problems
Compare linear functions: graphs, tables and equations
Equations of horizontal and vertical lines
Graph a horizontal or vertical line
Linear equations: solve for y
U. Monomials and Polynomials
Identify monomials
Model polynomials with algebra tiles
Add and subtract polynomials using algebra tiles
Add and subtract polynomials
Add polynomials to find perimeter
Multiply monomials
Divide monomials
Multiply and divide monomials
Powers of monomials
Square and cube roots of monomials
Multiply a polynomial by a monomial
Multiply polynomials using algebra tiles
Multiply two binomials
Multiply two binomials: special cases
Multiply polynomials
Multiply polynomials to find area
V. Quadratic Functions
Does (x, y) satisfy the quadratic equation?
Characteristics of quadratic functions: graphs
Characteristics of quadratic functions: equations
Complete a function table: quadratic functions
Match quadratic functions and graphs
W. Two-Dimensional Figures
Triangle inequality
Find missing angles in triangles and quadrilaterals
Exterior Angle Theorem
Interior angles of polygons
Identify complementary, supplementary, vertical, adjacent and congruent angles
Find measures of complementary, supplementary, vertical and adjacent angles
Identify alternate interior and alternate exterior angles
Transversals of parallel lines: name angle pairs
Transversals of parallel lines: find angle measures
Find lengths and measures of bisected line segments and angles
Parts of a circle
X. Three-Dimensional Figures
Parts of three-dimensional figures
Nets of three-dimensional figures
Front, side and top view
Base plans
Y. Geometric Measurement
Area of triangles and quadrilaterals
Area and perimeter of squares and rectangles: word problems
Area of compound figures with triangles
Circumference of circles
Area of circles
Circles: word problems
Semicircles: calculate area, perimeter, radius and diameter
Quarter circles: calculate area, perimeter and radius
Area of compound figures with triangles, semicircles and quarter circles
Area between two shapes
Volume of prisms and cylinders
Volume of compound figures
Surface area of prisms and cylinders
Z. Transformations
Identify reflections, rotations and translations
Translations: graph the image
Translations: find the coordinates
Translations: write the rule
Reflections: graph the image
Reflections: find the coordinates
Rotations: graph the image
Rotations: find the coordinates
Reflections and rotations: write the rule
Reflections, rotations and translations: graph the image
Reflections, rotations and translations: find the coordinates
Dilations: graph the image
Dilations: find the coordinates
Dilations: scale factor and classification
AA. Congruence and Similarity
Identify congruent figures
Congruence statements and corresponding parts
Side lengths and angle measures of congruent figures
Congruent triangles: SSS, SAS and ASA
Identify similar figures
Ratios in similar figures
Similarity statements
Side lengths and angle measures of similar figures
Similar figures and indirect measurement
BB. Triangles and Trigonometry
Pythagoras’ theorem: find the length of the hypotenuse
Pythagoras’ theorem: find the missing leg length
Pythagoras’ theorem: find the missing leg or hypotenuse length
Pythagoras’ theorem: find the perimeter
Pythagoras’ theorem: word problems
Converse of Pythagoras’ theorem: is it a right triangle?
Trigonometric ratios: sin, cos and tan
Find trigonometric functions of special angles: sin, cos and tan
Find trigonometric functions using a calculator
CC. Constructions
Construct the midpoint or perpendicular bisector of a segment
Construct an angle bisector
Construct a perpendicular line
Construct parallel lines
Construct an equilateral triangle or regular hexagon
DD. Data and Graphs
Interpret tables
Interpret bar graphs for categorical data
Create bar graphs for categorical data
Interpret line graphs
Create line graphs
Interpret line plots
Create line plots
Interpret stem-and-leaf plots
Create stem-and-leaf plots
Interpret bar graphs for grouped data
Create bar graphs for grouped data
Create frequency tables
Interpret pie charts
Pie charts and central angles
Choose the best type of graph
EE. Statistics
Calculate mean, median, mode and range
Interpret charts to find mean, median, mode and range
Mean, median, mode and range: find the missing number
Changes in mean, median, mode and range
Identify an outlier
Identify an outlier and describe the effect of removing it
Describe distributions in line plots
Identify representative, random and biased samples
Create scatter plots
Identify trends with scatter plots
Make predictions with scatter plots
Outliers in scatter plots
FF. Probability
Probability of simple events
Probability of simple events and opposite events
Probability of mutually exclusive events and overlapping events
Experimental probability
Make predictions using theoretical probability
Make predictions using experimental probability
Compound events: find the number of outcomes
Probability of compound events
Find the number of outcomes: word problems
Find probabilities using two-way frequency tables