# Maths: Year 8 topics

Year 8 starts to see more complex maths, and is about the time that many students starts to struggle in maths, if they have been left behind. See below for the full list of topics you can expect your child to learn inyear 8:

Number theory
A.1 Prime or composite
A.2 Prime factorisation
A.3 Multiplicative inverses
A.4 Divisibility rules
A.5 Greatest common factor
A.6 Least common multiple
A.7 GCF and LCM: word problems
A.8 Scientific notation
A.9 Compare numbers written in scientific notation
A.10 Classify numbers

Decimal numbers
B.1 Decimal numbers review
B.2 Compare and order decimals
B.3 Decimal number lines
B.4 Round decimals
Operations with decimals
C.2 Add and subtract decimals: word problems
C.3 Multiply decimals
C.4 Multiply decimals and whole numbers: word problems
C.5 Divide decimals
C.6 Divide decimals by whole numbers: word problems
C.7 Multiply and divide decimals by powers of ten
C.8 Estimate sums, differences and products of decimals
C.9 Add, subtract, multiply and divide decimals: word problems
C.10 Multi-step inequalities with decimals
C.11 Maps with decimal distances
C.12 Simplify expressions involving decimals

Integers
D.1 Understanding integers
D.2 Integers on number lines
D.3 Absolute value and opposite integers
D.4 Compare and order integers
D.5 Integer inequalities with absolute values

Operations with integers
E.1 Integer addition and subtraction rules
E.2 Add and subtract integers using counters
E.4 Complete addition and subtraction sentences with integers
E.5 Add and subtract integers: word problems
E.6 Integer multiplication and division rules
E.7 Multiply and divide integers
E.8 Complete multiplication and division sentences with integers
E.9 Simplify expressions involving integers

Fractions and mixed numbers
F.1 Equivalent fractions
F.2 Simplify fractions
F.3 Understanding fractions
F.4 Least common denominator
F.5 Compare and order fractions
F.6 Compare fractions: word problems
F.7 Convert between mixed numbers and improper fractions
F.8 Compare mixed numbers and improper fractions
F.9 Round mixed numbers

Operations with fractions
G.2 Add and subtract fractions: word problems
G.3 Add and subtract mixed numbers
G.4 Add and subtract mixed numbers: word problems
G.5 Inequalities with addition and subtraction of fractions and mixed numbers
G.6 Estimate sums and differences of mixed numbers
G.7 Multiply fractions and whole numbers
G.8 Multiply fractions and whole numbers: word problems
G.9 Multiply fractions
G.10 Multiply fractions: word problems
G.11 Multiply three or more fractions and whole numbers
G.12 Divide by fractions – with models
G.13 Reciprocals
G.14 Divide fractions
G.15 Divide fractions: word problems
G.16 Estimate products and quotients of fractions and mixed numbers
G.17 Add, subtract, multiply and divide fractions and mixed numbers: word problems

Rational numbers
H.1 Identify rational numbers
H.2 Convert between decimals and fractions or mixed numbers
H.3 Absolute value of rational numbers
H.4 Compare rational numbers
H.5 Put rational numbers in order
H.6 Add and subtract rational numbers
H.7 Multiply and divide rational numbers

Exponents and square roots
I.1 Understanding exponents
I.2 Evaluate exponents
I.3 Exponents: solve for the variable
I.4 Exponents with negative bases
I.5 Exponents with decimal and fractional bases
I.6 Simplify expressions involving exponents
I.7 Square roots of perfect squares
I.8 Estimate square roots

Ratios and proportions
J.1 Understanding ratios
J.2 Equivalent ratios
J.3 Equivalent ratios: word problems
J.4 Compare ratios: word problems
J.5 Unit rates
J.6 Do the ratios form a proportion?
J.7 Do the ratios form a proportion: word problems
J.8 Solve proportions
J.9 Solve proportions: word problems
J.10 Estimate population size using proportions
J.11 Rate of change
J.12 Constant rate of change
J.13 Scale drawings and scale factors

Percents
K.1 What percentage is illustrated?
K.2 Convert between percents, fractions and decimals
K.3 Compare percents to fractions and decimals
K.4 Estimate percents of numbers
K.5 Percents of numbers and money amounts
K.6 Percents of numbers: word problems
K.7 Solve percent equations
K.8 Solve percent equations: word problems

Consumer maths
L.1 Add, subtract, multiply and divide money amounts: word problems
L.2 Price lists
L.3 Unit prices
L.4 Unit prices: find the total price
L.5 Percent of a number: VAT, discount and more
L.6 Find the percent: discount and mark-up
L.7 Sale prices: find the original price
L.8 Multi-step problems with percents
L.9 Estimate tips
L.10 Simple interest
L.11 Compound interest
Problem solving and estimation
M.1 Estimate to solve word problems
M.2 Multi-step word problems
M.3 Guess-and-check word problems
M.4 Use Venn diagrams to solve problems
M.5 Find the number of each type of coin
M.6 Elapsed time word problems

Measurement
N.1 Estimate metric measurements
N.2 Compare and convert metric units
N.3 Metric mixed units
N.4 Convert between square metres and hectares
N.5 Convert square and cubic units of length
N.6 Convert between cubic metres and litres
N.7 Precision
N.8 Estimate imperial measurements
N.9 Imperial mixed units
N.10 Convert between metric and imperial units

Data and graphs
O.1 Interpret tables
O.2 Interpret line plots
O.3 Create line plots
O.4 Interpret stem-and-leaf plots
O.5 Interpret bar graphs
O.6 Create bar graphs
O.7 Interpret histograms
O.8 Create histograms
O.9 Create frequency charts
O.10 Interpret circle graphs
O.11 Circle graphs and central angles
O.12 Interpret line graphs
O.13 Create line graphs
O.14 Interpret box-and-whisker plots
O.15 Scatter plots
O.16 Choose the best type of graph

Geometry
P.1 Lines, line segments and rays
P.2 Parallel, perpendicular, intersecting
P.3 Name, measure and classify angles
P.4 Identify complementary, supplementary, vertical, adjacent and congruent angles
P.5 Find measures of complementary, supplementary, vertical and adjacent angles
P.6 Transversal of parallel lines
P.7 Classify triangles
P.9 Find missing angles in triangles and quadrilaterals
P.10 Identify and classify polygons
P.11 Interior angles of polygons
P.12 Similar and congruent figures
P.13 Similar figures: side lengths and angle measures
P.14 Similar figures and indirect measurement
P.15 Congruent figures: side lengths and angle measures
P.16 Congruence statements and corresponding parts
P.17 Perimeter
P.18 Area of rectangles and parallelograms
P.19 Area of triangles and trapezoids
P.20 Area and perimeter: word problems
P.21 Parts of a circle
P.22 Circles: calculate area, circumference, radius and diameter
P.23 Circles: word problems
P.24 Find lengths and measures of bisected lines and angles
P.25 Front, side and top view
P.26 Names and bases of 3-dimensional figures
P.27 Nets of 3-dimensional figures
P.28 Surface area
P.29 Volume
P.30 Perimeter, area and volume: changes in scale
P.31 Semicircles: calculate area, perimeter, radius and diameter
P.32 Quarter circles: calculate area, perimeter and radius
P.33 Area of compound figures with triangles, semicircles and quarter circles
P.34 Area between two shapes

Transformations
Q.1 Identify reflections, rotations and translations
Q.2 Translations: graph the image
Q.3 Translations: find the coordinates
Q.4 Reflections: graph the image
Q.5 Reflections: find the coordinates
Q.6 Rotations: graph the image
Q.7 Rotations: find the coordinates
Q.8 Symmetry

Coordinate graphs
R.1 Points on coordinate graphs
R.3 Coordinate graphs as maps
Number sequences
S.1 Identify arithmetic and geometric sequences
S.2 Arithmetic sequences
S.3 Geometric sequences
S.4 Number sequences: mixed review
S.5 Number sequences: word problems
S.6 Evaluate variable expressions for number sequences
S.7 Write variable expressions for arithmetic sequences

Variable expressions
T.1 Write variable expressions
T.2 Evaluate single-variable expressions I
T.3 Evaluate single-variable expressions II
T.4 Evaluate multi-variable expressions
T.5 Evaluate variable expressions for numerators and denominators
T.6 Add and subtract like terms

Single-variable equations
U.1 Does x satisfy the equation?
U.2 Model and solve equations using algebra tiles
U.3 Solve one-step linear equations
U.4 Solve two-step linear equations
U.5 Solve equations involving like terms

Inequalities
V.1 Inequalities on number lines
V.2 Solutions to variable inequalities
V.3 Solve one-step linear inequalities
V.4 Solve two-step linear inequalities

Linear functions
W.1 Identify proportional relationships
W.2 Find the constant of variation
W.3 Does (x, y) satisfy the equation?
W.4 Complete a function table
W.5 Write a rule for a function table
W.6 Find points on a function graph
W.7 Graph a line from a function table
W.8 Graph a line from an equation
W.9 Linear function word problems
W.10 Find the slope of a graph
W.11 Find slope from two points
W.12 Find slope from an equation
W.13 Graph a line using slope
W.14 Identify linear and nonlinear functions

Properties
X.1 Properties of addition and multiplication
X.2 Distributive property
X.3 Simplify variable expressions using properties
X.4 Solve equations using properties

Probability
Y.1 Probability of simple events
Y.2 Probability of opposite, mutually exclusive and overlapping events
Y.3 Experimental probability
Y.4 Make predictions
Y.5 Compound events: find the number of outcomes
Y.6 Counting principle

Statistics
Z.1 Calculate mean, median, mode and range
Z.2 Interpret charts to find mean, median, mode and range
Z.3 Mean, median, mode and range: find the missing number
Z.4 Changes in mean, median, mode and range
Z.5 Identify representative, random and biased samples