Jacaranda Maths Quest Units 1&2 Essential Mathematics 11 for Queensland

Half title page
Title page
Copyright page
Contents
About eBookPLUS
Acknowledgements
About this resource
CHAPTER 1 Calculations
	1.1 Overview
	1.2 Number operations
		1.2.1 Adding and subtracting integers
		1.2.2 Multiplying or dividing integers
		1.2.3 Order of operations
		1.2.4 Reasonableness
	1.3 Estimation
		1.3.1 Rounding
		1.3.2 Estimation
	1.4 Decimal significance
		1.4.1 Rounding decimals
		1.4.2 Fractions as decimals
	1.5 Calculator skills
		1.5.1 Scientific notation
	1.6 Approximation
		1.6.1 Approximation from graphs
	1.7 Review: exam practice
		1.7.1 Calculations: summary
	Answers
CHAPTER 2 Ratios
	2.1 Overview
	2.2 Introduction to ratios
		2.2.1 What is a ratio?
		2.2.2 Ratios as fractions
		2.2.3 Equivalent ratios
		2.2.4 Simplifying ratios
		2.2.5 Ratios and decimal numbers
	2.3 Ratios of two quantities
		2.3.1 Weight ratios
		2.3.2 Length ratios
		2.3.3 Area ratios
		2.3.4 Volume and capacity ratios
		2.3.5 Time ratios
		2.3.6 Money ratios
	2.4 Divide into ratios
		2.4.1 Dividing weights into ratios
		2.4.2 Dividing lengths into ratios
		2.4.3 Dividing areas into ratios
		2.4.4 Dividing volumes and capacities into ratios
		2.4.5 Dividing time into ratios
	2.5 Scales, diagrams and maps
		2.5.1 Introduction to scales
		2.5.2 Calculating dimensions
		2.5.3 Scale drawing
		2.5.4 Maps and scales
		2.5.5 Maps and distances
	2.6 Review: exam practice
		2.6.1 Ratios: summary
	Answers
CHAPTER 3 Rates
	3.1 Overview
	3.2 Identifying rates
	3.3 Conversion of rates
		3.3.1 Equivalent rates
		3.3.2 Using rates
	3.4 Comparison of rates
	3.5 Rates and costs
		3.5.1 Costs for trades
		3.5.2 Living costs: food
		3.5.3 Living costs: transport
		3.5.4 Living costs: clothing
		3.5.5 Living costs on spreadsheets
	3.6 Review: exam practice
		3.6.1 Rates: summary
	Answers
CHAPTER 4 Percentages
	4.1 Overview
	4.2 Calculate percentages
		4.2.1 Converting percentages to fractions
		4.2.2 Converting percentages to decimals
		4.2.3 Converting a fraction or a decimal to a percentage
		4.2.4 Determining the percentage of a given amount
		4.2.5 A shortcut for determining 10% of a quantity
	4.3 Express as a percentage
		4.3.1 Expressing one amount as a percentage of another
		4.3.2 Expressing one amount as a percentage of another for different units
		4.3.3 Percentage discounts
	4.4 Percentage decrease and increase
		4.4.1 Percentage decrease
		4.4.2 Percentage increase
		4.4.3 Repeated percentage change
	4.5 Simple interest
		4.5.1 Principal, interest and value
		4.5.2 Simple interest calculations
		4.5.3 Calculating the interest rate
	4.6 Review: exam practice
		4.6.1 Percentages: summary
	Answers
CHAPTER 5 Data classification, presentation and interpretation
	5.1 Overview
	5.2 Classifying data
		5.2.1 Types of data
		5.2.2 Numerical data
		5.2.3 Categorical data
		5.2.4 Categorical data with numerical values
		5.2.5 Categorical or numerical data
	5.3 Categorical data
		5.3.1 Displaying categorical data
		5.3.2 Two-way relative frequency tables
		5.3.3 Grouped column graphs
		5.3.4 Misuses of grouped column graphs
	5.4 Numerical data
		5.4.1 Displaying numerical data
		5.4.2 Dot plots
		5.4.3 Histograms
		5.4.4 Stem-and-leaf plots
	5.5 Measures of central tendency and the outlier effect
		5.5.1 Mean
		5.5.2 Median
		5.5.3 Mode
		5.5.4 Mean, median and mode from a frequency distribution table
		5.5.5 Outliers and their effect on data
	5.6 Comparing and interpreting data
		5.6.1 Back-to-back stem-and-leaf plots
		5.6.2 Choosing appropriate data representations
	5.7 Review: exam practice
		5.7.1 Data classification, presentation and interpretation: summary
	Answers
PRACTICE ASSESSMENT 1
	Essential Mathematics: Problem solving and modelling task
CHAPTER 6 Reading, interpreting and using graphs
	6.1 Overview
	6.2 Two-way tables
		6.2.1 Reading and interpreting two-way tables
	6.3 Line graphs, conversion graphs and step graphs
		6.3.1 Graphical representations of data
		6.3.2 Conversion graphs
		6.3.3 Step graphs
		6.3.4 Comparing line graphs
	6.4 Column graphs and picture graphs
		6.4.1 Some other types of graphs
		6.4.2 Picture graphs
	6.5 Review: exam practice
		6.5.1 Reading, interpreting and using graphs: summary
	Answers
CHAPTER 7 Drawing and using graphs
	7.1 Overview
	7.2 Drawing and using line graphs
		7.2.1 Line graphs
		7.2.2 Numerical continuous data
		7.2.3 Discrete numerical data and categorical data
		7.2.4 Interpreting the point of intersection of two line graphs
	7.3 Drawing and using column and pie graphs
		7.3.1 Column and pie graphs
		7.3.2 Drawing column graphs
		7.3.3 Drawing pie graphs
	7.4 Misleading graphs
		7.4.1 Methods of misrepresenting data
		7.4.2 Vertical axis and horizontal axis
		7.4.3 Changing the scale on the vertical axis
		7.4.4 Omitting certain values
		7.4.5 Foreshortening the vertical axis
		7.4.6 Visual impression
		7.4.7 A non-linear scale on an axis or on both axes
	7.5 Graphing with technology
		7.5.1 Drawing lines in Excel worksheets
		7.5.2 Chart Tools
		7.5.3 Drawing a column graph in an Excel worksheet
		7.5.4 Drawing a pie graph in an Excel worksheet
	7.6 Review: exam practice
		7.6.1 Drawing and using graphs: summary
	Answers
PRACTICE ASSESSMENT 2
	Essential Mathematics: Unit 1 examination
CHAPTER 8 Earning money
	8.1 Overview
	8.2 Wages and salaries
		8.2.1 Salaries, wages and penalty rates
		8.2.2 Other allowances
		8.2.3 Superannuation
		8.2.4 Annual leave loading
	8.3 Commission, piecework and royalties
		8.3.1 Commission
		8.3.2 Salary and commissions
		8.3.3 Piecework
		8.3.4 Royalties
	8.4 Taxation and deductions
		8.4.1 The purpose of taxation
		8.4.2 Tax file numbers
		8.4.3 Income tax
		8.4.4 Tax deductions
		8.4.5 The Medicare levy
		8.4.6 Pay As You Go (PAYG) tax
	8.5 Performing financial calculations
		8.5.1 Calculating percentage change
		8.5.2 Calculating tax payable
		8.5.3 Preparing a wage sheet
	8.6 Review: exam practice
		8.6.1 Earning money: summary
	Answers
CHAPTER 9 Budgeting
	9.1 Overview
	9.2 Household expenses
		9.2.1 Understanding household electricity and gas bills
		9.2.2 Understanding household water bills
		9.2.3 Understanding council rates
	9.3 Purchasing, running and maintaining a vehicle
		9.3.1 Planning for the purchase of a vehicle
		9.3.2 On-road costs for new and used vehicles
		9.3.3 Sustainability, fuel consumption rates, servicing and tyres
		9.3.4 Calculate and compare the cost of purchasing different vehicles using a spreadsheet
	9.4 Budgeting
		9.4.1 Monthly income
		9.4.2 Fixed and discretionary spending
		9.4.3 Preparing a personal budget
	9.5 Review: exam practice
		9.5.1 Budgeting: summary
	Answers
CHAPTER 10 Time, distance and speed
	10.1 Overview
	10.2 Time
		10.2.1 Facts about time
		10.2.2 Time intervals
	10.3 Interpret timetables
		10.3.1 Timelines
		10.3.2 Timetables
	10.4 Time travel
		10.4.1 Time zones
		10.4.2 Australian time zones
		10.4.3 Daylight-saving time
		10.4.4 Comparing travel time
	10.5 Distance: scales and maps
		10.5.1 Map distances
	10.6 Speed
		10.6.1 Calculating speed
		10.6.2 Calculating distance
		10.6.3 Calculating time
	10.7 Distance–time graphs
		10.7.1 Time of journeys
		10.7.2 Distance versus time graphs
	10.8 Calculations with motion
		10.8.1 Motion in everyday life
		10.8.2 Energy in food and activity
	10.9 Review: exam practice
		10.9.1 Time, distance and speed: summary
	Answers
PRACTICE ASSESSMENT 3
	Essential Mathematics: Problem solving and modelling task
CHAPTER 11 Data collection
	11.1 Overview
	11.2 Census and surveys
		11.2.1 Data collection
		11.2.2 Census
		11.2.3 Surveys and sampling
	11.3 Simple survey procedures
		11.3.1 Surveys
	11.4 Sources of bias
		11.4.1 Bias
		11.4.2 Sources of error
		11.4.3 Misrepresentation and misunderstanding
		11.4.4 Statistical interpretation bias
	11.5 Review: exam practice
		11.5.1 Data collection: summary
	Answers
PRACTICE ASSESSMENT 4
	General Mathematics: Unit 2 examination
APPENDIX Maths skills workbook
	Introduction
	KEY SKILL 1 Fractions
	KEY SKILL 2 Equivalent fractions
	KEY SKILL 3 Multiplying fractions
	KEY SKILL 4 Decimal numbers
	KEY SKILL 5 Fractions to decimals
	KEY SKILL 6 Percentage skills
	KEY SKILL 7 Percentages
	KEY SKILL 8 Fractions into percentages
	KEY SKILL 9 Ratios
	KEY SKILL 10 Using ratios
	KEY SKILL 11 Simplifying ratios
	PROJECT In the kitchen
	Answers
GLOSSARY
INDEX