Download Chapter 2 Work program

1
WORK PROGRAM
Chapter 2 Introductory algebra
Cluster: Pre-algebra and Algebra
Section
Are you ready? (page 60)
Using pronumerals
(page 61)
WE 1a–d, 2a–b, 3a–d
Ex 2A Using pronumerals
(page 64)
Suggested time: 3 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)
Technology applications
(CD-ROM)
SkillSHEETs (page 60)
2.1: Alternative expressions
used to describe the four
operations
2.2: Algebraic expressions
2.3: Like terms
2.4: Simplifying like terms
2.7: Multiplying algebraic
terms
2.8: Dividing algebraic
terms
2.14: Substitution into
algebraic expressions
SkillSHEET 2.1: Alternative Mathcad: Displaying the
expressions used to
coefficients (DIY)
describe the four
(page 64)
operations (page 64)
SkillSHEET 2.2: Algebraic
expressions (page 64)
Learning outcomes
A 18b.5 Understand symbols
Uses a letter to represent a
variable quantity in an oral or
written expression and for linking
successive terms in a sequence
involving one or two operations.
A 18b.5 Understand symbols
Uses a letter to represent a
variable quantity in an oral or
written expression and for linking
successive terms in a sequence
involving one or two operations.
2
Worded questions
(page 65)
WE 4a–c, 5a–c
Ex 2B Worded questions
(page 67)
Maths Quest challenge:
Q1–3 (page 69)
WorkSHEET 2.1 (page 69)
Like terms (page 70)
WE 6a–d, 7a–d, 8a–c
Ex 2C Like terms
(page 72)
Investigation: Algebra
rectangles (page 73)
Code puzzle (page 74)
10 Quick Questions 1
(page 75)
SkillSHEET 2.3: Like terms
(page 72)
SkillSHEET 2.4:
Simplifying like terms
(page 72)
SkillSHEET 2.5: Addition
and subtraction of
integers (page 72)
Mathcad: Collecting like
terms (page 27)
A 18b.5 Understand symbols
Uses a letter to represent a
variable quantity in an oral or
written expression and for linking
successive terms in a sequence
involving one or two operations.
A 18b.6 Understand symbols
Uses and interprets basic
algebraic conventions for
representing situations involving a
variable quantity.
A 18b.5 Understand symbols
Uses a letter to represent a
variable quantity in an oral or
written expression and for linking
successive terms in a sequence
involving one or two operations.
A 18b.6 Understand symbols
Uses and interprets basic
algebraic conventions for
representing situations involving a
variable quantity.
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 5.5 Reason mathematically
Draws on mathematical
knowledge to give reasons for
conjectures before testing them,
and refines and modifies
conjectures as a result of testing.
3
Multiplication and division Maths Quest challenge:
(page 75)
Q1–2 (page 78)
WE 9a–d, 10a–d
Code puzzle (page 79)
Ex 2D Multiplication and
division (page 78)
Algebraic fractions
(page 80)
WE 11a–c, 12a–c, 13a–b,
14a–b, 15a–c, 16a–c
Ex 2E Algebraic fractions
(page 85)
10 Quick Questions 2
(page 87)
SkillSHEET 2.6:
Multiplication and
division of integers
(page 78)
SkillSHEET 2.7:
Multiplying algebraic
terms (page 78)
SkillSHEET 2.8: Dividing
algebraic terms
(page 78)
WorkSHEET 2.2 (page 78)
SkillSHEET 2.9: Finding
and converting to the
lowest common
denominator (page 85)
SkillSHEET 2.10: Adding
and subtracting fractions
(page 85)
SkillSHEET 2.11:
Multiplication of
fractions (page 85)
SkillSHEET 2.12: Division
of fractions (page 86)
Game time 001 (page 87)
Mathcad: Multiplication
and division (page 78)
Mathcad: Algebraic
fractions (page 85)
Mathcad: Multiplying and
dividing algebraic
fractions (page 86)
A 18b.5 Understand symbols
Uses a letter to represent a
variable quantity in an oral or
written expression and for linking
successive terms in a sequence
involving one or two operations.
A 18b.6 Understand symbols
Uses and interprets basic
algebraic conventions for
representing situations involving a
variable quantity.
A 18b.5 Understand symbols
Uses a letter to represent a
variable quantity in an oral or
written expression and for linking
successive terms in a sequence
involving one or two operations.
A 18b.6 Understand symbols
Uses and interprets basic
algebraic conventions for
representing situations involving a
variable quantity.
4
Substitution and formulas
(page 88)
WE 17a–c, 18a–c, 19
Ex 2F Substitution and
formulas (page 90)
Summary (page 96)
Chapter review (page 97)
Investigation: Good health
(page 92)
Rich task: Steps and stairs
(page 93)
History of mathematics:
Heron (c. 100 AD) and
Brahmagupta
(598–668 AD)
(page 95)
SkillSHEET 2.13: Order of
operations (page 90)
SkillSHEET 2.14:
Substitution into
algebraic expressions
(page 90)
Game time 002 (page 91)
WorkSHEET 2.3 (page 91)
‘Test yourself’ multiple
choice questions
(page 98)
Topic tests (2)
Excel: Substitution
(page 90)
Mathcad: Substitution
(page 90)
Excel: Substitution game
(page 90)
A 18b.6 Understand symbols
Uses and interprets basic
algebraic conventions for
representing situations involving a
variable quantity.
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.
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.