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WORK PROGRAM MQ 9 NSW 5.2 Pathway
Chapter 8 Rates
Strand: Number
Substrands and outcomes:
Fractions, decimals and percentagesNS4.3 Operates with fractions, decimals, percentages, ratios and rates
Rational numbersNS5.2.1 Rounds decimals to a specified number of significant figures, expresses recurring decimals
in fraction form and converts rates from one set of units to another
Consumer arithmeticNS5.1.2 Solves consumer arithmetic problems involving earning and spending money
Section / GC tips, Investigations,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) /
Learning outcomes
Are you ready? (page 284) / SkillSHEETS (page 284)8.1: Highest common factor
8.2: Converting a mixed numeral into an improper fraction
8.4: Conversion of units
8.5: Recognising quantities from their units
8.6: Converting minutes to fractions of an hour
8.7: Converting metres to kilometres
8.8: Equivalent rates / NS4.3
- finding highest common factors
- expressing improper fractions as mixed numerals and vice versa
- expressing one quantity as a fraction of another
- converting between metres and kilometres
- converting between units of length, volume and time
- interpreting the meaning of the prefixes ‘milli’, ‘centi’ and ‘kilo’
Introduction (page 285)
Ratios (page 285)
WE 1a-c, 2, 3, 4
Ex 8A Ratios (page 288) / 10 Quick Questions 1 (page 290) / SkillSHEET 8.1: Highest common factor (page288)
SkillSHEET 8.2: Converting a mixed numeral into an improper fraction (page288)
SkillSHEET 8.3: Ratios involving fractions (page 288)
SkillSHEET 8.4: Conversion of units (page 288)
WorkSHEET 8.1 (page289) / Excel: Ratios (page 288) / NS4.3
- using ratio to compare quantities
- simplifying ratios
- applying the unitary method to ratio problems
- dividing a quantity in a given ratio
- interpreting and calculating ratios that involve more than two numbers
- solving a variety of real-life problems involving ratios (Applying strategies)
Simplifying rates (page290)
WE 5a-b, 6a-c
Ex 8B Simplifying rates (page 292) / SkillSHEET 8.5: Recognising quantities from their units (page292)
Game time 001 (page 292) / NS4.3
- calculating rates from given information
- calculating speed given distance and time
Solving problems using rates (page 293)
WE 7a-b, 8
Ex 8C Solving problems using rates (page 294) / Investigation: Cricket run rate (page 295)
10 Quick Questions 2 (page 296) / WorkSHEET 8.2 (page295) / NS4.3
- calculating rates from given information
- solving problems involving rates (Applying strategies)
Speed (page 297)
WE 9a-b, 10a-b, 11, 12a-b, 13, 14
Ex 8D Speed (page 300) / Code puzzle (page 302) / SkillSHEET 8.6: Converting minutes to fractions of an hour (page 300)
SkillSHEET 8.7: Converting metres to kilometres (page 300)
Game time 002 (page 301) / Mathcad: Speed, distance time (page 300)
Excel: Speed converter (page 300) / NS4.3
- calculating rates from given information
- calculating speed given distance and time
- converting rates from one set of units to another
- solving problems involving rates (Applying strategies)
Best buys (page 303)
WE 15, 16
Ex 8E Best buys (page304) / SkillSHEET 8.8: Equivalent rates (page304)
WorkSHEET 8.3 (page305) / NS5.1.2
- calculating a ‘best buy’
- making informed decisions related to purchases (Applying strategies)
Summary (page 306)
Chapter review (page 307) / ‘Test yourself’ multiple choice questions
(page 308)
Topic tests (2)