📘 Year 8 Maths – FULL Curriculum
A. Number Theory
Multiplicative inverses
Divisibility rules
Identify factors
Prime or composite
Prime factorisation
Highest common factor
Lowest common multiple
HCF and LCM: word problems
Classify numbers
Convert between ordinary numbers and standard form
Compare numbers written in standard form
B. Decimals
Decimal numbers review
Compare and order decimals
Decimal number lines
Round decimals
C. Operations with Decimals
Add and subtract decimals
Add and subtract decimals: word problems
Complete the decimal addition or subtraction sentence
Multiply decimals
Multiply decimals and whole numbers: word problems
Divide decimals
Divide decimals by whole numbers: word problems
Multiply and divide decimals by powers of ten
Estimate sums, differences and products of decimals
Add, subtract, multiply and divide decimals: word problems
Multi-step inequalities with decimals
Maps with decimal distances
Evaluate numerical expressions involving decimals
D. Fractions and Mixed Numbers
Write fractions in lowest terms
Lowest common denominator
Compare and order fractions
Compare fractions: word problems
Convert between mixed numbers and improper fractions
Compare mixed numbers and improper fractions
Convert fractions or mixed numbers to decimals
Convert between decimals and fractions or mixed numbers
Put a mix of decimals, fractions and mixed numbers in order
E. Add and Subtract Fractions
Add and subtract fractions
Add and subtract fractions: word problems
Add and subtract mixed numbers
Add and subtract mixed numbers: word problems
Inequalities with addition and subtraction of fractions and mixed numbers
Estimate sums and differences of mixed numbers
F. Multiply Fractions
Multiply fractions by whole numbers using number lines
Multiply fractions by whole numbers: choose the model
Multiply fractions by whole numbers using models: complete the equation
Multiply fractions and whole numbers: sorting
Multiply fractions by whole numbers I
Multiply fractions by whole numbers II
Multiply fractions and whole numbers: word problems
Fractions of a number I
Fractions of a number II
Fractions of a number: word problems
Estimate products of fractions and whole numbers
Scaling whole numbers by fractions: justify your answer
Scaling whole numbers by fractions
Multiply two fractions using models
Multiply fractions
Multiply fractions: word problems
Complete the fraction multiplication sentence
Multiply three or more fractions and whole numbers
Multiply mixed numbers and whole numbers
Multiply mixed numbers
G. Divide Fractions
Reciprocals
Divide unit fractions by whole numbers using models
Divide unit fractions by whole numbers
Divide whole numbers by unit fractions using models
Divide whole numbers by unit fractions
Divide unit fractions and whole numbers using area models
Divide whole numbers and unit fractions
Divide fractions by whole numbers
Divide whole numbers by fractions
Divide fractions
Divide fractions: word problems
Divide fractions and mixed numbers
Estimate products and quotients of fractions and mixed numbers
Add, subtract, multiply or divide two fractions
Add, subtract, multiply and divide fractions and mixed numbers: word problems
Evaluate numerical expressions involving fractions
H. Integers
Understanding integers
Integers on number lines
Graph integers on horizontal and vertical number lines
Compare and order integers
I. 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
J. Rational Numbers
Identify rational 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
Rational numbers: find the sign
K. Operations with Rational Numbers
Add and subtract positive and negative decimals
Add and subtract positive and negative fractions
Add and subtract rational numbers
Apply addition and subtraction rules
Multiply and divide positive and negative decimals
Multiply and divide positive and negative fractions
Multiply and divide rational numbers
Apply multiplication and division rules
Add, subtract, multiply and divide rational numbers
Evaluate numerical expressions involving rational numbers
L. Indices and Roots
Understanding indices
Evaluate indices
Solve equations with variable indices
Indices with negative bases
Indices with decimal and fractional bases
Evaluate numerical expressions involving indices
Square roots of perfect squares
Estimate square roots
Cube roots of perfect cubes
M. Ratios, Rates and Proportions
Understanding ratios
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
Use bar diagrams to solve ratio word problems
Compare rates: word problems
Ratios and rates: word problems
Do the ratios form a proportion?
Do the ratios form a proportion: word problems
Solve proportions
Solve proportions: word problems
Rate of change
Constant rate of change
N. Direct 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
Interpret graphs of proportional relationships
Write and solve equations for proportional relationships
O. Percents
What percentage is illustrated?
Convert between percents, fractions and decimals
Convert between percents, fractions and decimals: word problems
Compare percents to fractions and decimals
Solve percent problems using grid models
Solve percent problems using bar models
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
P. Consumer Maths
Add, subtract, multiply and divide money amounts: word problems
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
Q. Problem Solving and Estimation
Estimate to solve word problems
Multi-step word problems
Multi-step word problems: identify reasonable answers
Guess-and-check word problems
Use Venn diagrams to solve problems
R. Units of Measurement
Estimate metric measurements
Compare and convert 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
Precision
Estimate imperial measurements
Convert and compare imperial units
Imperial mixed units
Convert between metric and imperial units
S. Coordinate Plane
Coordinate plane review
Quadrants and axes
Follow directions on a coordinate plane
Distance between two points
T. 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
U. Expressions and Properties
Write variable expressions
Write variable expressions: word problems
Evaluate linear expressions
Evaluate multi-variable expressions
Evaluate nonlinear expressions
Identify terms and coefficients
Identify equivalent expressions using bar models
Properties of addition and multiplication
Add and subtract like terms
Multiply using the distributive property: area models
Multiply using the distributive property
Factorise linear expressions: area models
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
V. 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
Solve equations using properties
Solve one-step equations
Solve two-step equations
Solve equations: complete the solution
Solve one- and two-step equations: word problems
Solve equations involving like terms
Solve equations with the distributive property
Solve multi-step equations: complete the solution
W. 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 inequalities
Graph solutions to two-step inequalities
X. Two-Variable Equations
Does (x, y) satisfy the equation?
Identify independent and dependent variables
Solve word problems involving two-variable equations
Write a two-variable equation
Complete a table for a two-variable relationship
Complete a table and graph a two-variable equation
Identify the graph of an equation
Graph a two-variable equation
Interpret a graph: word problems
Write an equation from a graph using a table
Y. Linear Functions
Find the gradient from 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 graph
Write an equation in y = mx + c form from a gradient and y-intercept
Z. Two-Dimensional Figures
Identify and classify polygons
Name, measure and classify angles
Classify triangles
Triangle inequality
Classify quadrilaterals
Graph triangles and quadrilaterals
Find missing angles in triangles and quadrilaterals
Exterior Angle Theorem
Interior angles of polygons
Lines, line segments and rays
Parallel, perpendicular and intersecting lines
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
AA. Three-Dimensional Figures
Bases of three-dimensional figures
Nets of three-dimensional figures
Front, side and top view
Base plans
BB. Geometric Measurement
Area of triangles
Understanding area of a parallelogram
Area of parallelograms
Understanding area of a trapezium
Area of trapeziums
Area of rhombuses
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 cubes and cuboids
Volume of compound figures
Volume of triangular pyramids
Volume of cylinders
Surface area
Scale drawings: word problems
Scale drawings: scale factor word problems
CC. Transformations
Symmetry
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
Dilations: graph the image
Dilations: find the coordinates
Dilations: scale factor and classification
DD. Congruence and Similarity
Identify congruent figures
Congruence statements and corresponding parts
Side lengths and angle measures of congruent figures
Identify similar figures
Ratios in similar figures
Similarity statements
Side lengths and angle measures of similar figures
Similar figures and indirect measurement
EE. Pythagoras’ Theorem
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?
FF. Constructions
Construct the midpoint or perpendicular bisector of a segment
Construct an angle bisector
Construct a perpendicular line
Construct an equilateral triangle or regular hexagon
GG. Data and Graphs
Interpret tables
Interpret line plots
Create line plots
Interpret stem-and-leaf plots
Create stem-and-leaf plots
Interpret bar graphs for categorical data
Create bar graphs for categorical data
Interpret bar graphs for grouped data
Create bar graphs for grouped data
Create frequency tables
Interpret pie charts
Pie charts and central angles
Interpret line graphs
Create line graphs
Choose the best type of graph
HH. 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
Populations and samples
Identify representative, random and biased samples
Create scatter plots
Identify trends with scatter plots
Make predictions with scatter plots
Outliers in scatter plots
II. Probability
Probability of simple events
Probability of simple events and opposite events
Probability of mutually exclusive events and overlapping events
Experimental probability
Use collected data to find probabilities and make predictions
Make predictions using theoretical probability
Make predictions using experimental probability
Sample spaces for compound events
Compound events: find the number of outcomes
Probability of compound events
Find the number of outcomes: word problems