Download Chapter 5 PDF

TitleChapter 5
TagsWater Multiplication Cartesian Coordinate System Elementary Mathematics Mathematical Notation
File Size1.5 MB
Total Pages32
Table of Contents
	New Century Maths user’s guide
	Features of this book
	1 The history of numbers
		Start up
		1-01 The ancient Egyptian number system
		1-02 Australian Aboriginal number systems
		1-03 The Babylonian number system
		1-04 The Roman number system
		1-05 The modern Chinese number system
		Working mathematically: Calendar month
		1-06 The Hindu–Arabic number system
		1-07 Expanded notation
		Mental skills 1A: Multiplying by a multiple of 10
		1-08 The four operations
		Using technology: What is a spreadsheet?
		Working mathematically: Double-digit dice game
		Mental skills 1B: Dividing by a multiple of 10
		1-09 Dividing by a two-digit number
		Working mathematically: Magic squares
		Using technology: Sorting data
		1-10 Order of operations
		1-11 The symbols of mathematics
		Working mathematically: The four 4s puzzle Brain bender
		Using technology: Fruit picking
		Power plus
		Chapter 1 review
	2 Angles
		Start up
		2-01 Naming angles
		2-02 Measuring angles
		2-03 Drawing angles
		2-04 Classifying angles
		2-05 Angle relationships
		2-06 Vertically opposite angles
		2-07 Angle geometry
		2-08 Lines in geometry
		Mental skills 2: Changing the order
		2-09 Alternate angles on parallel lines
		2-10 Corresponding angles on parallel lines
		2-11 Co-interior angles on parallel lines
		2-12 Angles on parallel lines
		Using technology: Constructing angles using geometry software
		2-13 Proving lines are parallel
		Power plus
		Chapter 2 review
	Mixed revision 1
	3 Exploring numbers
		3-01 Special number patterns
		Using technology: Developing number patterns
		Start up
		Working mathematically: Figurate numbers More types of numbers
		3-02 Tests for divisibility
		3-03 Factors
		Working mathematically: Factor path puzzle
		Mental skills 3: Calculating differences and making change
		3-04 Prime and composite numbers
		Working mathematically: Goldbach's conjecture
		Working mathematically: More factor paths
		3-05 Prime factors
		3-06 Squares, cubes and roots
		Using technology: Absolute cell referencing
		Power plus
		Chapter 3 review
	4 Solids
		Start up
		4-01 Convex and non-convex solids
		4-02 Nets of solids
		4-03 Polyhedra
		Working mathematically: Stacking and packaging
		4-04 Special solids
		4-05 Classifying solids
		4-06 Euler’s rule
		Mental skills 4: Estimating answers
		4-07 Edges of a solid
		4-08 The Platonic solids
		Working mathematically: Perpendicular, parallel and skew lines
		Working mathematically: Special solids
		4-09 Drawing and building solids
		4-10 Different views of solids
		Using technology: More spreadsheet formulas
		Power plus
		Chapter 4 review
	5 Integers
		Start up
		5-01 Number lines
		5-02 Numbers above and below zero
		5-03 Ordering integers
		5-04 Adding and subtracting integers
		Mental skills 5A: Adding 8 or 9
		5-05 Applying integers
		Using technology: Temperature ranges at Thredbo
		5-06 Multiplying integers
		5-07 Dividing integers
		5-08 The four operations with integers
		Mental skills 5B: Subtracting 8 or 9
		Working mathematically: Multiplying integers
		Using technology: Spreadsheet formulas involving integers
		5-09 The number plane
		5-10 The number plane with negative numbers
		Power plus
		Chapter 5 review
	6 Patterns and rules
		Start up
		6-01 Number rules from geometric patterns
		6-02 Using pattern rules
		6-03 The language of algebra
		6-04 Tables of values
		6-05 Finding the rule
		6-06 Finding harder rules
		6-07 Algebraic abbreviations
		Mental skills 6A: Doubling and halving numbers
		Using technology: Algebra and patterns
		6-08 Finding rules for geometric patterns
		Using technology: Number patterns
		Working mathematically: Finding formulas
		6-09 Substitution
		Working mathematically: Finding more formulas
		6-10 Substitution with negative numbers
		Mental skills 6B: Multiplying and dividing by 4 or 8
		Power plus
		Chapter 6 review
	Mixed revision 2
	7 Decimals
		Start up
		7-01 Place value
		7-02 Understanding the point
		7-03 Ordering decimals
		7-04 Decimals and fractions
		Working mathematically: Decimal distances
		7-05 Adding and subtracting decimals
		Working mathematically: Comparing heights
		Working mathematically: Decimals and powers of 10
		7-06 Multiplying and dividing by powers of 10
		7-07 Using estimation to multiply decimals
		Mental skills 7A: Multiplying an even number by 5
		Working mathematically: Decimal places in multiplication answers
		7-08 Multiplying decimals
		7-09 Calculating change
		Working mathematically: Multiplication maze
		Using technology: Fruit and vegetables
		7-10 Dividing decimals by NS4.3 whole numbers
		7-11 Dividing decimals by decimals
		Mental skills 7B: Multiplying by 9, 11 or 12
		Using technology: Calculations involving decimals
		Working mathematically: Back-to-front problems
		7-12 Fractions and decimals
		7-13 Rounding decimals
		Working mathematically: Rounding prices
		7-14 Applying decimals
		Using technology: Rainfall figures
		Power plus
		Chapter 7 review
	8 Length and area
		Start up
		8-01 The metric system
		Working mathematically: Ancient measures The British Imperial system History of the metric system
		8-02 Converting units of length
		8-03 Reading measurement scales
		8-04 The accuracy of measuring instruments
		Working mathematically: ‘Guess the length’ game
		Mental skills 8: The metric system
		Working mathematically: Measuring long distances
		8-05 Estimating and measuring length
		8-06 Perimeter
		8-07 Area
		Working mathematically: The human lagoon
		8-08 Converting units of area
		Working mathematically: Standing room only! Student space in a classroom
		Working mathematically: Areas of rectangles and triangles
		8-09 Areas of squares, rectangles and triangles
		Using technology: Calculating area
		Using technology: Perimeter and areas
		8-10 Areas of composite shapes
		Working mathematically: Area puzzles
		8-11 Measuring large areas
		Working mathematically: Local areas
		Power plus
		Chapter 8 review
	9 Geometrical figures
		Start up
		9-01 Naming geometrical figures
		9-02 Classifying polygons
		Working mathematically: Logos and designs
		9-03 Classifying triangles
		Mental skills 9: Simplifying multiplication by factorising
		Working mathematically: Building with shapes
		9-04 Constructing triangles
		9-05 Classifying quadrilaterals
		Working mathematically: Shape puzzles
		9-06 Constructing perpendicular and parallel lines
		9-07 Constructing quadrilaterals
		Using technology: More spreadsheet formulas involving integers
		Power plus
		Chapter 9 review
	Mixed revision 3
	10 Fractions and percentages
		Start up
			10-01 Naming fractions
			10-02 Highest common factor and lowest common multiple
			10-03 Equivalent fractions
			10-04 Simplifying fractions
			10-05 Ordering fractions
		Working mathematically: Shaded fractions
			10-06 Adding and subtracting fractions
			10-07 Adding and subtracting mixed numerals
			10-08 Finding a fraction of a quantity
		Mental skills 10: Commonly used fractions and decimals
		Working mathematically: Netball
			10-09 Multiplying fractions
			10-10 Dividing fractions
		Working mathematically: Than’s gorgeous garden
		Working mathematically: Fraction puzzles
			10-11 Percentages and fractions
			10-12 Percentages and decimals
		Using technology: Sorting students’ results
			10-13 Converting percentages
			10-14 Finding a percentage of a quantity
		Using technology: Calculating test marks as percentages
		Power plus
		Chapter 10 review
	11 Volume, mass and time
		Start up
		Working mathematically: Comparing volumes
		11-01 Volume
		Working mathematically: Building a cubic metre Volumes of rectangular prisms
		11-02 Volume of a rectangular prism
		Working mathematically: What is your volume?
		11-03 Capacity
		Working mathematically: Volume by displacement
		Using technology: Comparing volume and capacity of two dams
		11-04 Mass
		Working mathematically: Mass of household objects
		Working mathematically: Investigating mass
		Mental skills 11: 24-hour time
		11-05 Timelines
		Working mathematically: Timeline display
		11-06 Converting units of time
		11-07 Time calculations
		11-08 Standard time
		11-09 Australian standard times
		11-10 Timetables
		Working mathematically: Round trip
		Using technology: Graphing winning times
		Working mathematically: Time puzzlers
		Power plus
		Chapter 11 review
	12 Algebra
		Start up
		12-01 Variables and expressions
		12-02 Algebraic abbreviations
		12-03 From words to algebraic expressions
		12-04 Like terms
		Mental skills 12A: Multiplying by 5, 15, 25 or 50
		12-05 Adding and subtracting like terms
		12-06 Multiplying algebraic terms
		12-07 Expanding expressions
		Working mathematically: Numerical expansions
		12-08 Expanding and simplifying expressions
		Mental skills 12B: Dividing by 5, 15, 25 or 50
		12-09 Substitution
		Using technology: Substitution
		Working mathematically: Generalised arithmetic
		Power plus
		Chapter 12 review
	13 Interpreting graphs and tables
		Start up
		Working mathematically: Collecting graphs and tables
		13-01 Picture graphs
		Column graphs and divided bar graphs
		Using technology: Creating graphs
		13-03 Sector graphs
		Mental skills 13: Reading linear scales
		13-04 Line graphs
		Working mathematically: Temperature graphs
		13-05 Travel graphs and conversion graphs
		13-06 Step graphs
		Working mathematically: Investigating graphs
		13-07 Reading tables
		Power plus
		Chapter 13 review
	Mixed revision 4
	General revision
	Appendix 1: Calculator skills
	Appendix 2: Glossary

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