Title Chapter 5 Water Multiplication Cartesian Coordinate System Elementary Mathematics Mathematical Notation 1.5 MB 32
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Imprint
Contents
Preface
New Century Maths user’s guide
Acknowledgements
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
Working mathematically: Shape puzzles
9-06 Constructing perpendicular and parallel lines
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