1
WORK PROGRAM
Chapter 5 Solving equations
Cluster: Pre-algebra and Algebra
Section
Are you ready? (page 174)
Suggested time: 4 weeks
GC tips, Investigations,
Rich tasks, History of
mathematics, Maths
Quest challenge,
10 Quick Questions,
Code puzzles
SkillSHEETS,
WorkSHEETS,
Interactive games,
Test yourself, Topic tests
(CD-ROM)
SkillSHEETS (page 174)
5.1: Writing equations
from worded statements
5.2: Solving one-step
equations
5.3: Operations with
decimals
5.4: Solving equations
5.5: Checking solutions to
equations
5.6: Collecting like terms
II
5.7: Expanding to remove
brackets
5.8: Showing inequalities
on a number line
5.9: Checking solutions to
inequalities
Technology applications
(CD-ROM)
Learning outcomes
N 8.5 Calculate
Calculates with decimals.
A 18b.6 Understand symbols
Uses and interprets basic
algebraic conventions for
representing situations involving
a variable quantity.
PA 19.4 Equivalence, equations
and inequalities
Constructs and completes
statements of equality using their
understanding of numbers and
number relationships.
A 19.5 Equivalence, equations
and inequalities
Finds numbers that satisfy a
single constraint.
2
What is a linear equation?
(page 175)
WE 1a–c, 2a–c
Ex 5A What is a linear
equation? (page 177)
History of mathematics:
Grace Murray Hopper
(1906–92) (page 178)
SkillSHEET 5.1: Writing
equations from worded
statements (page 177)
Solving equations with the
pronumeral on one side
(page 179)
WE 3a–b, 4a–b, 5a–b,
6a–b, 7a–b
Ex 5B Solving equations
with the pronumeral on
one side (page 183)
10 Quick Questions 1
(page 185)
SkillSHEET 5.2: Solving
one-step equations
(page 183)
SkillSHEET 5.3:
Operations with
decimals (page 183)
SkillSHEET 5.4: Solving
equations (page 183)
WorkSHEET 5.1
(page 185)
Checking solutions
(page 186)
WE 8a–b, 9
Ex 5C Checking solutions
(page 189)
Maths Quest challenge:
Q1–2 (page 190)
SkillSHEET 5.5: Checking
solutions to equations
(page 189)
Excel: Equation solver
ax + b = c (page 183)
Mathcad: Solving two-step
equations (page 183)
GC program — Casio:
Solving linear equations
(page 183)
GC program — TI:
Solving linear equations
(page 183)
Mathcad: Solving
multi-step equations
(page 184)
Mathcad: Checking
solutions (page 189)
Mathcad: Guess and check
(page 189)
Excel: Guess and check
(page 189)
PA 19.4 Equivalence, equations
and inequalities
Constructs and completes
statements of equality using their
understanding of numbers and
number relationships.
AM 2.5 Contextualise
mathematics
Describes how some familiar
mathematical ideas are, or have
been, used by people to represent,
describe and explain their world.
A 19.6 Equivalence, equations
and inequalities
Solves linear equations using
analytical methods.
A 19.6 Equivalence, equations
and inequalities
Solves linear equations using
‘guess, check and improve’.
WM 4.5 Apply and verify
Checks working and reasoning
and whether answers fit
specifications and make sense in
the original situation.
3
Solving equations with the
pronumeral on both
sides (page 191)
WE 10a–b
Ex 5D Solving equations
with the pronumeral on
both sides (page 192)
Code puzzle (page 193)
SkillSHEET 5.6:
Collecting like terms II
(page 192)
Solving linear equations
with brackets
(page 194)
WE 11a–b
Ex 5E Solving linear
equations with brackets
(page 195)
Maths Quest challenge:
Q1–2 (page 196)
SkillSHEET 5.7:
Expanding to remove
brackets (page 195)
Game time 001 (page 195)
Solving problems with
linear equations
(page 196)
WE 12, 13, 14
Ex 5F Solving problems
with linear equations
(page 199)
10 Quick Questions 2
(page 201)
WorkSHEET 5.2
(page 200)
Excel: Equation solver
ax + b = cx + d
(page 192)
GC program — Casio:
Solving linear equations
(page 192)
GC program — TI:
Solving linear equations
(page 192)
Mathcad: Equation solver
a(bx + c) = d (page 195)
Excel: Solving linear
equations with brackets
(page 195)
GC program — Casio:
Solving linear equations
(page 195)
GC program — TI:
Solving linear equations
(page 195)
Excel: Equation solver
(page 199)
GC program — Casio:
Solving linear equations
(page 199)
GC program — TI:
Solving linear equations
(page 199)
A 19.6 Equivalence, equations
and inequalities
Solves linear equations using
analytical methods.
A 19.6 Equivalence, equations
and inequalities
Solves linear equations using
analytical methods.
A 18b.6 Understand symbols
Uses and interprets basic
algebraic conventions for
representing situations involving
a variable quantity.
A 19.6 Equivalence, equations
and inequalities
Solves linear equations using
analytical methods.
4
Solving linear inequalities
(page 201)
WE 15a–b, 16, 17a–c,
18a–b
Ex 5G Solving linear
inequalities (page 205)
Summary (page 210)
Chapter review (page 211)
Investigation: Operations
on inequalities
(page 202)
Rich task: Rearranging
formulas (page 207)
Investigation: The cost of
concrete (page 208)
Investigation: Theatre
design (page 209)
Investigation: Save, save,
save! (page 209)
SkillSHEET 5.8: Showing
inequalities on a
number line (page 205)
SkillSHEET 5.9: Checking
solutions to inequalities
(page 206)
Game time 002 (page 207)
WorkSHEET 5.3
(page 207)
‘Test yourself’ multiple
choice questions
(page 212)
Topic tests (2)
Excel: Solving linear
inequalities (page 206)
Mathcad: Solving linear
inequalities (page 206)
N 6a.5 Understand whole
numbers and decimals
Understands the relative
magnitude of whole numbers and
negative integers.
A 19.6 Equivalence, equations
and inequalities
Explains why two linear
equations are equivalent; sets up
equations to represent one
constraint in a situation; and
solves linear equations using
analytical methods.
A 19.7 Equivalence, equations
and inequalities
Generates complete sets of
numbers that satisfy the
constraints of an inequality.
WM 3.5 Mathematical
strategies
Extends tasks by asking further
mathematical questions and uses
problem-solving strategies that
include those based on
developing systematic
approaches.
WM 4.5 Apply and verify
Checks working and reasoning
and whether answers fit
specifications and make sense in
the original situation.