YEAR 8 MATHEMATICS
UNIT:
TERM 1 YEAR 8
UNIT OVERVIEW:
Number
ASSESSMENT:
MATHS MATE EXAM – Weeks 5 & 9/10
UNIT DETAILS:
Number and Place Value
Real Numbers
Money
TERM EXAM – Week 8/9
(integers)
(terminating and recurring decimals, irrational numbers, percentage increase/decrease)
(selling price, cost/buying price, profit and loss, discount, GST, mark up)
Success Criteria
Strand
Australian Curriculum
Statement
(I know I’ve got it when I can
No
Learning Goal
successfully complete the following
exercises and teach someone else the
Additional Extension
Exercises
REAL NUMBERS
NUMBER AND
PLACE VALUE
concepts)
 Carry out the four operations with
integers, using efficient mental and
written strategies and appropriate
digital technologies ACMNA183
 Investigate terminating and
recurring decimals ACMNA184
 Investigate the concept of irrational
numbers, including 𝜋 ACMNA186
 Solve problems involving the use
of percentages, including
percentage increases and decreases,
with and without digital
technologies ACMNA188
1
Compare and order integers.
Dwyer Textbook
Ex. 2.1, 2.2, 2.3
2
Calculate addition, subtraction, multiplication and
division operations with integers.
Dwyer Textbook
Ex. 2.4, 2.5, 2.6, 2.7,
2.8
3
Apply efficient mental and written strategies to
solve operations.
Dwyer Textbook
Ex. 2.9
4
Define rational and irrational numbers.
5
Represent and compare rational numbers
(fractions, decimals and percentages).
6
Classify and represent terminating, recurring and
non-terminating decimals.
7
Investigate the concept of the irrational number 𝜋
(pi).
Dwyer Textbook
Ex. 6.1, 6.2, 6.3, 6.4.
6.5
Dwyer Textbook
Ex. 6.6
Dwyer Textbook
Ex. 2.13, 2.14
Chapter Review
Ex. 2.16, 2.17
Pearson Mathematics 8
Chapter 1
Maths Quest 1
Chapter 4
Dwyer Textbook
Ex. 6.10, 6.11
Chapter Review
Ex. 6.13, 6.14
Pearson Mathematics 8
Ex. 2.2
Maths Quest 7
Ch 4 (rational)
YEAR 8 MATHEMATICS
MONEY
 Solve problems involving profit
and loss, with and without digital
technologies ACMNA189
8
9
10
Define financial monetary terms of selling price,
cost/buying price, profit and loss, discount, GST,
mark up
Dwyer Textbook
Ex. 11.4, 11.5
Apply percentages to solve problems, including
those involving mark-ups, discounts, profit, loss
and GST.
Represent and compare profit and loss as a
percentage of cost or selling price.
Dwyer Textbook
Ex. 11.6
Dwyer Textbook
Ex. 11.12, 11.13
(relevant topics)
Chapter Review
Ex. 11.15, 11.16
(relevant topics)
Pearson Mathematics 8
Ex. 2.10
Maths Quest 2
Ex. 1C, 1D
YEAR 8 MATHEMATICS
UNIT:
TERM 2 YEAR 8
UNIT OVERVIEW:
Number and Algebra
ASSESSMENT:
MATHS MATE EXAM – Weeks 4/5 & 9/10
UNIT DETAILS:
Number and Place Value
Real numbers
Patterns and Algebra
TERM EXAM – Week 7/8/9
(index notation, index laws)
(write and represent ratio, simplify, find quantities using ratio)
(algebraic expressions, substitution, distributive law, factorisation, simplify)
Success Criteria
Strand
Australian Curriculum
Statement
(I know I’ve got it when I can
No
Learning Goal
successfully complete the following
exercises and teach someone else
Additional Extension
Exercises
PATTERNS & ALGEBRA
NUMBER AND PLACE
VALUE
the concepts)
 Use index notation with numbers to
establish the index laws with
positive indices and the zero index
ACMNA182
1
2
3
 Extend and apply the distributive
law to the expression of algebraic
expressions ACMNA189
 Factorise algebraic expressions by
identifying numerical factors
ACMNA191
 Simplify algebraic expressions
involving the four operations
ACMNA192
4
Apply index law to numerical expressions with
positive indices and the zero index.
Evaluate numbers expressed as powers of positive
integers.
Dwyer Textbook
Ex. 1.1. 1.2, 1.3, 1.4,
1.5, 1.6, 1.7, 1.8, 1.9,
1.10, 1.11, 1.12
Simplify algebraic expressions involving indices.
Simplify algebraic expressions involving the four
operations.
Dwyer Textbook
Ex. 3.1, 3.2, 3.3, 3.4,
3.5, 3.6
5
Apply the distributive law to expand algebraic
expressions.
Dwyer Textbook
Ex. 3.7, 3.8, 3.9, 3.10
6
Factorise algebraic expressions by identifying the
highest common factor.
Dwyer Textbook
Ex. 3.11, 3.12, 3.13,
3.14, 3.15, 3.16
Dwyer Textbook
Ex. 1.16, 1.17
Chapter Review
Ex. 1.19, 1.20
Pearson Mathematics 8
Chapter 1
Maths Quest 1 Ex. 1I
Maths Quest 2 Ch 3
Dwyer Textbook
Ex. 3.20, 3.21
Chapter Review
Ex. 3.23, 3.24
Pearson Mathematics 8
Ex 3.4, 3.5, 3.6, 3.7
Maths Quest 1
Ex. 5G, 5H, 5J
Maths Quest 2
Ex. 4A, 4F
YEAR 8 MATHEMATICS
REAL NUMBERS
 Solve a range of problems
involving ratios, with and without
digital technologies ACMNA189
7
Write comparisons as a ratio and simplify.
Dwyer Textbook
Ex. 11.1, 11.2
8
Understand the relationship between ratios,
fractions, decimals and percentages.
Dwyer Textbook
Ex. 11.1
9
Apply ratios to calculate one quantity given the
other.
Dwyer Textbook
Ex. 11.3
Dwyer Textbook
Ex. 11.12, 11.13
(relevant topics)
Chapter Review
Ex. 11.15, 11.16
(relevant topics)
Pearson Mathematics 8
Ex 4.1, 4.2, 4.4
Maths Quest 2
Ex. 2A, 2B, 2D, 2E, 2F
YEAR 8 MATHEMATICS
UNIT:
TERM 3 YEAR 8
UNIT OVERVIEW:
Number and Algebra
ASSESSMENT:
MATHS MATE EXAM – Weeks 4/5 & 8/9
UNIT DETAILS:
Real Numbers
Linear and Non-Linear Relationships
TERM EXAM – Week 7/8/9
(rates, direct proportion, unitary method)
(plot linear and non-linear relations,
solve algebraically and graphically, verify using substitution)
Success Criteria
LINEAR
RELATIONSHIPS
PATTERNS AND ALGEBRA
Strand
Australian Curriculum
Statement
 Solve a range of problems
involving rates, with and
without digital technologies
ACMNA189
 Solve problems involving direct
proportion ACMNA208
No
complete the following exercises and
Additional Extension
Exercises
teach someone else the concepts)
1
2
 Solve linear equations using
algebraic and graphical
techniques. Verify solutions by
substitution ACMNA194
 Plot linear relationships on the
Cartesian plane with and
without the use of digital
technologies ACMNA194
Learning Goal
(I know I’ve got it when I can successfully
Determine whether rates and ratios are in
proportion.
Dwyer Textbook 9
Ex. 6.4
Solve rate problems involving direct proportion.
Dwyer Textbook 8
Ex. 11.7
Dwyer Textbook 9
Ex. 6.5, 6.9
3
Solve problems using the unitary method to
compare different rates.
Dwyer Textbook 8
Ex 11.8
4
Interpret linear graphs of simple rate equations
to solve problems.
Dwyer Textbook 9
Ex. 6.6, 6.7
5
Plot given points from a table and locate
coordinates on Cartesian axes.
Dwyer Textbook
Ex. 16.1, 16.2
6
Plot linear relationships using tables of values.
7
Identify different gradients, the x and y
intercepts on a line graph.
Dwyer Textbook
Ex. 16.3
Dwyer Textbook 8
Ex. 11.12, 11.13
(relevant topics)
Chapter Review
Ex. 11.15, 11.16
(relevant topics)
Dwyer Textbook 9
Ex. 6.13
Chapter Review
Ex. 6.15, 6.16
Pearson Mathematics 8
Ex. 4.7
Maths Quest 2 Ex 2C
Dwyer Textbook
Ex. 16.11, 16.12
Chapter Review
Ex. 16.13, 16.14
Pearson Mathematics 8
Ex. 6.2, 6.3, 6.4
Maths Quest 2
Ex 6A, 6B, 6C, 6D, 6E
YEAR 8 MATHEMATICS
8
9
10
11
12
13
Derive a rule/linear function for a set of points
that lie on a straight line.
Plot relationships using linear and non-linear
functions.
Solve equations with the variables on one side of
the equation. Substitute to verify solutions.
Solve equations with the variable on both sides
of the equation. Substitute to verify solutions.
Examine the relationship between graphs and
linear equations.
Solve linear equations using algebraic and
graphical techniques. Substitute to verify
solutions.
Dwyer Textbook
Ex. 16.4, 12.1, 12,2
Dwyer Textbook
Ex. 16.5, 16.6, 12.3
Dwyer Textbook
Ex. 12.12, 12.13
Chapter Review
Ex. 12.15, 12.16
Dwyer Textbook
Ex. 12.4, 12.5
Pearson Mathematics 8
Ex. 7.2, 7.3, 7.4, 7.5
Maths Quest 1 Ch 5
Maths Quest 2
Ex. 5A, 5B, 5C, 5D
Dwyer Textbook
Ex. 12.6
Dwyer Textbook
Ex. 12.7, 12.8
YEAR 8 MATHEMATICS
UNIT:
TERM 4 YEAR 8
UNIT OVERVIEW:
Measurement and Geometry
ASSESSMENT:
MATHS MATE EXAM – Weeks 4/5 & 8/9
UNIT DETAILS:
Using Units of Measurement
Measurement
TERM EXAM – Week 7/8/9
(appropriate units and conversion for length, area, volume and capacity)
(perimeter, circumference, area, volume)
Success Criteria
Strand
Australian Curriculum
Statement
(I know I’ve got it when I can
No
Learning Goal
successfully complete the
following exercises and teach
Additional Extension
Exercises
MEASUREMENT
someone else the concepts)
 Choose appropriate units of
measurement for area and volume
and convert from one unit to
another ACMMG195
 Calculate areas of rectangles,
triangles, parallelograms,
rhombuses, kites and use these in
problem solving. ACMMG159
ACMMG196
 Calculate the areas of composite
shapes ACMMG216
 Investigate the relationship
between features of circles such
as circumference, area, radius and
diameter. Use formulas to solve
problems involving
circumference and area
ACMMG197
 Solve problems involving the
volume of right prisms
ACMMG218
1
Convert between units of length, area, volume and
capacity.
2
Investigate the relationship between the radius,
diameter and circumference of a circle.
Dwyer Textbook
Ex. 9.1, 9.2
3
Apply the formula to calculate circumference of
circles.
Dwyer Textbook
Ex. 9.3
4
Apply the formulas to calculate perimeters of
sectors and composite shapes involving circles.
Dwyer Textbook
Ex. 9.4
5
Apply the formulas to calculate area of circles.
Dwyer Textbook
Ex. 9.7
6
Apply the formulas to calculate areas of sectors
and areas of composite shapes involving circles.
Dwyer Textbook
Ex. 9.8
7
Apply the formulas to calculate perimeter and
areas of squares, rectangles and triangles.
Dwyer Textbook
Ex. 17.1, 17.2, 17.3
8
Apply the formulas to calculate area of composite
shapes.
Dwyer Textbook
Ex. 17.4
Dwyer Textbook
Ex. 9.5, 9.6, 9.12, 9.13
Chapter Review
Ex. 9.15, 9.16
Pearson Mathematics 8
Ex. 5.2, 5.3, 5.5, 5.6
Maths Quest 1 Ch7
Maths Quest 2
Ex 7A, 7D, 7E
Dwyer Textbook
Ex. 17.12, 17.13
Chapter Review
Ex. 17.15, 17.16
YEAR 8 MATHEMATICS
9
10
Apply the formulas to calculate area of
parallelograms, trapeziums and kites.
Apply the formulas to calculate volume of
rectangular and triangular prisms.
Dwyer Textbook
Ex. 17.5, 17.6
Investigation 17.1,
17.2, 17.3
Dwyer Textbook
Ex. 17.7, 17.8
Pearson Mathematics 8
Ex. 5.4, 5.7
Maths Quest 1 Ch 7
Maths Quest 2
Ex. 7B, 7C, 7E, 7H