1
WORK PROGRAM
Chapter 7 Patterns and algebra
Strand: Patterns and algebra
Substrands and outcomes:
Patterns and algebra
PAS2.1 Generates, describes and records number patterns using a variety of strategies and completes simple
number sentences by calculating missing values
Patterns and algebra
PAS3.1a Records, analyses and describes geometric and number patterns that involve one operation using tables
and words
Algebraic techniques
PAS4.1 Uses letters to represent numbers and translates between words and algebraic symbols
Number patterns
PAS4.2 Creates, records, analyses and generalises number patterns using words and algebraic symbols in a variety
of ways
Algebraic techniques
PAS4.3 Uses the algebraic symbol system to simplify, expand and factorise simple algebraic expressions
Section
Are you ready? (page 260)
GC tips, Investigations,
History of mathematics,
Maths Quest challenge,
10 Quick Questions,
Code puzzles
SkillSHEETS,
WorkSHEETS,
Interactive games,
Test yourself, Topic tests
(CD–ROM)
SkillSHEETS (page 260)
7.1: Number patterns
7.2: Worded operations
7.3: Describing a number
pattern from a table
7.5: Using tables to show
number patterns
7.6: Alternative
expressions used to
describe the four
operations
Technology applications
(CD–ROM)
Learning outcomes
PAS2.1
 finding a higher term
in a number pattern
given the first five
terms
 describing a simple
number pattern in
words
PAS3.1a
 working through a
process of building a
simple geometric
pattern involving
multiples, completing
2

Using rules (page 261)
WE 1, 2, 3
Ex 7A Using rules
(page 265)
Investigation: Number
patterns (page 261)
Investigation: Geometric
patterns (page 262)
Maths Quest challenge:
Q1-2 (page 266)
History of mathematics:
The Development of
Algebra (page 267)
SkillSHEET 7.1: Number
patterns (page 261)
SkillSHEET 7.2: Worded
operations (page 265)
Writing and finding
formulas (page 268)
WE 4a-c, 5, 6
10 Quick Questions 1
(page 273)
SkillSHEET 7.3:
Describing a number
pattern from a table
GC program – Casio:
Finding the formula
(page 271)
a table of values, and
describing the pattern
in words
working through a
process of identifying
a simple number
pattern involving only
one operation,
completing a table of
values, and describing
the pattern in words
PAS3.1a
 working through a
process of identifying
a simple number
pattern involving only
one operation,
completing a table of
values, and describing
the pattern in words
 working through a
process of identifying
a simple number
pattern involving only
one operation,
completing a table of
values and describing
the pattern in words
PAS4.1
 using letters to
represent numbers and
3
Ex 7B Writing and finding
formulas (page 270)
Substitution (page 274)
WE 7a-b, 8
Ex 7C Substitution
(page 275)
Investigation: Nutrition
panels (page 277)
Code puzzle (page 279)
(page 270)
WorkSHEET 7.1
(page 272)
GC program – TI: Finding
the formula (page 271)
SkillSHEET 7.4:
Substitution into rules
(page 275)
Excel: Substitution
(page 275)
Mathcad: Substitution
(page 275)
Excel: Substitution game
(page 275)
developing the notion
that a letter is used to
represent a variable
PAS4.2
 using a process that
consists of identifying
a number pattern
(including decreasing
patterns), completing a
table of values,
describing the pattern
in words and algebraic
symbols
 representing and
applying patterns and
relationships in
algebraic forms
(Applying strategies,
Communicating)
PAS4.3
 substituting into
algebraic expressions
 generating a number
pattern from an
algebraic expression
PAS4.1
 using letters to
represent numbers and
developing the notion
that a letter is used to
represent a variable
 translating between
4
Problem solving using
algebra (page 280)
WE 9
Ex 7D Problem solving
using algebra (page 281)
Investigation: How high
SkillSHEET 7.5: Using
will it grow? (page 283)
tables to show number
10 Quick Questions 2
patterns (page 281)
(page 284)
WorkSHEET 7.2
(page 283)
GC program – Casio:
Finding the formula
(page 281)
GC program – TI: Finding
the formula (page 281)
Excel: Substitution
(page 281)
Mathcad: Substitution
(page 281)
words and algebraic
symbols and between
algebraic symbols and
words
 representing and
applying patterns and
relationships in
algebraic forms
(Applying strategies,
Communicating)
PAS4.1
 using letters to
represent numbers and
developing the notion
that a letter is used to
represent a variable
 translating between
words and algebraic
symbols and between
algebraic symbols and
words
PAS4.2
 using a process that
consists of building a
geometric pattern,
completing a table of
values, describing the
pattern in words and
algebraic symbols
 representing and
applying patterns and
relationships in
5
algebraic forms
(Applying strategies,
Communicating)
 checking pattern
descriptions by
substituting further
values (Reasoning)
PAS4.3
 translating from
everyday language to
algebraic language and
from algebraic
language to everyday
language
Algebraic expressions
(page 285)
WE 10a-b
Ex 7E Algebraic
expressions (page 286)
Expressions and equations
(page 287)
Maths Quest challenge
Q1-3 (page 290)
SkillSHEET 7.6:
Alternative expressions
PAS4.1
 using letters to
represent numbers and
developing the notion
that a letter is used to
represent a variable
 using concrete
materials such as cups
and counters to model
expressions
 translating between
words and algebraic
symbols and between
algebraic symbols and
words
PAS4.1
 using letters to
6
WE 11, 12a-e, 13a-d
Ex 7F Expressions and
equations (page 289)
Code puzzle (page 291)
used to describe the
four operations
(page 289)
Like terms (page 292)
WE 14a-e, 15a-b
Ex 7G Like terms
(page 294)
Maths Quest challenge
Q1-5 (page 295)
Game time 001 (page 294)
Game time 002 (page 295)
WorkSHEET 7.3
(page 295)
Summary (page 296)
Chapter review (page 297)
‘Test yourself’ multiple
choice questions
(page 298)
Topic tests (2)
Mathcad: Simplifying
expressions (page 295)
represent numbers and
developing the notion
that a letter is used to
represent a variable
 recognising and using
equivalent algebraic
expressions
 translating between
words and algebraic
symbols and between
algebraic symbols and
words
PAS4.3
 recognising like terms
and combining like
terms to simplify
algebraic expressions
 substituting into
algebraic expressions