Chapter 10 Consumer Mathematics

WORK PROGRAM

Chapter 10 Consumer mathematics

Cluster: NumberSuggested time: 2.5 weeks

Section

/ 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) /

Learning outcomes

Are you ready? (page 448) / SkillSHEETs (page 448)
10.1: Rounding money to the nearest 5 cents
10.2: Converting units of time
10.3: Multiplying and dividing a quantity (money) by a whole number
10.4: Multiplying and dividing a quantity (money) by a fraction
10.5: Adding periods of time
10.6: Multiplying a quantity (money) by a decimal
10.7: Converting a percentage into a decimal
10.8: Finding a percentage of a quantity
10.10: Expressing one quantity as a percentage of another / N 6b.5 Understand fractions
Reads, writes, says and understands the meaning of percentages.
N 8.4 Calculate
Calculates with whole numbers and money.
N 8.5 Calculate
Calculates with whole numbers, decimals, fractions and money.
M 9b.5 Direct measure
Uses a range of scales for measuring (time).
M 10a.3 Measurement relationships
Understands and measures elapsed time.
Money (page 449)
WE 1a–b, 2, 3
Ex 10A Money (page 452) / Maths Quest challenge: Q1–4 (page 453)
Investigation: How much is one million dollars? (page 453)
Rich task: Movie munchies (page 454) / SkillSHEET 10.1: Rounding money to the nearest 5cents (page452) / N 8.5 Calculate
Calculates with whole numbers, decimals and money.
M 11.5 Estimate
Makes sensible estimates of length in standard units.
WM 3.5 Mathematical strategies
Uses problem-solving strategies that include those based on developing systematic approaches.
Wages and salaries (page454)
WE 4a–c, 5
Ex 10B Wages and salaries (page 455) / 10 Quick Questions 1 (page 456) / SkillSHEET 10.2: Converting units of time (page 455)
SkillSHEET 10.3: Multiplying and dividing a quantity (money) by a whole number (page455)
SkillSHEET 10.4: Multiplying and dividing a quantity (money) by a fraction (page 455)
SkillSHEET 10.5: Adding periods of time (page456)
WorkSHEET 10.1 (page456) / N 8.5 Calculate
Calculates with whole numbers, decimals and money.
M 9b.5 Direct measure
Uses a range of scales for measuring (time).
Working overtime (page457)
WE 6
Ex 10C Working overtime (page 457) / Career profile: Jo Mooney (page 459) / SkillSHEET 10.6: Multiplying a quantity (money) by a decimal (page 457) / N 8.5 Calculate
Calculates with whole numbers, decimals and money.
M 9b.5 Direct measure
Uses a range of scales for measuring (time).
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.
Piecework (page 460)
WE 7, 8, 9
Ex 10D Piecework (page461) / WorkSHEET 10.2 (page462) / N 8.5 Calculate
Calculates with whole numbers, decimals and money.
Commission and royalties (page 463)
WE 10, 11a–b, 12
Ex 10E Commission and royalties (page 464) / Investigation: Earning money (page 465)
Code puzzle (page 466) / SkillSHEET 10.7: Converting a percentage into a decimal (page464)
SkillSHEET 10.8: Finding a percentage of a quantity (page 464) / Excel: Converting percentages to fractions or decimals (page 464)
Excel: Finding the percentage of an amount (page 464)
Mathcad: Commission and royalties (page 464) / N 8.5 Calculate
Calculates with whole numbers, decimals and money.

N 8.6 Calculate

Calculates with positive and negative numbers, decimals and fractions, using mostly mental strategies, including those for frequently used fractions and percentages of amounts.
Discount (page 467)
WE 13, 14a–b, 15
Ex 10F Discount (page469) / Investigation: Successive discounts (page 470) / SkillSHEET 10.9: Decreasing a quantity by a percentage (page469)
SkillSHEET 10.10: Expressing one quantity as a percentage of another (page 469)
Game time 001 (page 470) / Excel: Increasing or decreasing an amount by a percentage (page469)
Mathcad: Finding the percentage of a quantity (page 469)
Mathcad: Discount (page469)
Excel: One amount as a percentage of another (page 469) / N 8.5 Calculate
Calculates with whole numbers, decimals and money.

N 8.6 Calculate

Calculates with positive and negative numbers, decimals and fractions, using mostly mental strategies, including those for frequently used fractions and percentages of amounts.
WM 3.5 Mathematical strategies
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.
Profit and loss (page 471)
WE 16, 17, 18
Ex 10G Profit and loss (page 472) / 10 Quick Questions 2 (page 474) / SkillSHEET 10.11: Increasing a quantity by a percentage (page 473) / Excel: One amount as a percentage of another (page 472)
Mathcad: Profit and loss (page 472) / N 8.5 Calculate
Calculates with whole numbers, decimals and money.

N 8.6 Calculate

Calculates with positive and negative numbers, decimals and fractions, using mostly mental strategies, including those for frequently used fractions and percentages of amounts.
Simple interest (page 475)
WE 19a–b, 20, 21
Ex 10H Simple interest (page 477) / Game time 002 (page478)
WorkSHEET 10.3 (page478) / Excel: Simple and compound interest (page 477)
Mathcad: Simple interest (page 477)
GC program — Casio: Simple interest (page477)
GC program — TI: Simple interest (page477) / N 7.6 Understand operations
Understands the meaning, use and connections between the four operations on familiar rates.
N 8.5 Calculate
Calculates with whole numbers, decimals and money.