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United Arab Emirates
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Alan McSeveny, Rob Conway, Steve Wilkes
Signpost Maths 7
Chapter 1
Beginnings in Number
1:01 The history of number
1:02 Place value
Investigation 1:02 - Estimation
Fun Spot 1:02 - A nest of squares
1:03 The four operations
1:04 Long division
1:05 Speed and accuracy
1:06 Powers of numbers
1:07 Expanded notation
1:08 Estimating answers
Fun Spot 1:08 - What's the difference between a boxer and a teleph…
1:09 Diagnostic checkups
Fun Spot 1:09 - Magic squares
Maths terms 1
Diagnostic test 1 - Beginnings in Number
Revision assignment
Mathematical processes
Chapter 2
Mathematical Processes: Applying Strategies
2:01 Direct computation
Fun Spot 2:01 - Can you play 31?
2:02 Strategies for problem solving
2:03 Trial and error
2:04 Make a drawing, diagram or model
Investigation 2:04 - Catching the crooks
2:05 Make a list, chart, table or tally
2:06 Eliminating possibilities
2:07 Working backwards
2:08 Acting it out
Challenge 2:08 - Backtracking
2:09 Looking for patterns
2:10 Solving a simpler problem
Reading maths 2:10 - Let's post a parcel in Sydney, Australia
Revision assignment
Mathematical processes
Chapter 3
Number: Its Order and Structure
3:01 Order of operations
3:02 Using number properties
3:03 Language and symbols used in mathematics
Investigation 3:03 - Odds and evens
3:04 Special sets of whole numbers
Fun Spot 3:04 - Fibonacci numbers
Investigation 3:04 - Pascal's triangle
3:05 Factors and multiples
3:06 Prime and composite numbers
3:07 Divisibility tests
3:08 Square and cube roots
3:09 The binary system: Mathematics for Machines
Fun Spot 3:09 - Making magic squares
Maths terms 3
Diagnostic Test 3 - Number: Its Order and Structure
Revision assignment
Mathematical processes
Chapter 4
Patterns and Algebra
4:01 Number patterns
4:02 Describing number patterns
Fun Spot 4:02 - Mysteries mixing matches
4:03 Pronumerals and rules
Reading maths 4:03 - Quality of life
4:04 Graphs of patterns
Maths terms 4
Diagnostic Test 4 - Patterns and Algebra
Revision assignment
Mathematical processes
Chapter 5
Angles
5:01 Measuring turning
5:02 Naming angles
5:03 Measuring the size of an angle
Investigation 5:03 - Triangulation
Fun Spot 5:03 - Making set squares
5:04 Types of angles
Reading maths 5:04 - Smoking and health facts!
5:05 Discovering more about angles
Reading maths 5:05 - Need some help?
5:06 Angles and parallel lines
Challenge 5:06 - Getting the angle on things:triangulation
5:07 Identifying parallel lines
Maths terms 5
Diagnostic Test 5 - Angles
Revision assignment
Mathematical processes
Chapter 6
Decimals
6:01 Review of decimals
6:02 Addition and subtraction of Decimals
6:03 Multiplying a decimal by a whole number
6:04 Dividing a decimal by a whole number
6:05 Using decimals
6:06 Multiplying a decimal by a decimal
6:07 Dividing by a decimal
Fun Spot 6:07 - Why did the orange stop in the middle of the road?…
6:08 Changing fractions to decimals
6:09 Rounding off
6:10 Applications of decimals
Fun Spot 6:10 - World championship diving
Investigation 6:10 - Applying decimals
Math terms 6
Diagnostic Test 6 - Decimals
Revision assignment
Mathematical processes
Chapter 7
Shapes
7:01 Plane shapes
7:02 Types of triangles and their properties
7:03 Properties of quadrilaterals
7:04 Finding the size of an angle
7:05 Angle sum of a polygon
7:06 Symmetry
7:07 Solids
7:08 Nets of solids
7:09 Drawing pictures of solids
7:10 Building solids from diagrams
7:11 Looking at solids from different views
Reading maths 7:11 - The Platonic solids
Maths terms 7
Diagnostic Test 7 - Shapes
Revision assignment
Mathematical processes
Chapter 8
Directed Numbers and the Number Plane
8:01 Graphing points on the number line
8:02 Reading a street directory
8:03 The number plane
Mastery test 8:03 - the number plane
8:04 Directed numbers
8:05 Adventure in the jungle
Investigation 8:05 - Directed numbers
8:06 Addition and subtraction of directed numbers
8:07 Subtracting a negative number
8:08 The number plane extended
8:09 Multiplication of directed numbers
Investigation 8:09 - Multiplying directed numbers
Challenge 8:09 - Using pronumerals
8:10 Division of directed numbers
8:11 Using directed numbers
8:12 Directed numbers and the calculator
Fun Spot 8:12 - Try this quick quiz!
Maths terms 8
Diagnostic Test 8 - Directed Numbers and the Number Plane
Revision assignment
Mathematical processes
Chapter 9
Measurement: Length and Time
9:01 Measuring instruments
9:02 Units of length
Investigation 9:02 - Other units of length
9:03 Measuring length
Investigation 9:03 - Measuring length
9:04 Estimating length
Investigation 9:04 - Estimating length
9:05 Perimeter
9:06 The calendar and dates
9:07 Clocks and times
9:08 Operating with time
9:09 Longitude and time
9:10 Timetables
Fun Spot 9:10 - And now for something light
Investigation 9:10 - Distance, speed and time
Maths terms 9
Diagnostic Test 9 - Measurement: Length and Time
Revision assignment
Mathematical processes
Chapter 10
Further Algebra
10:01 Algebraic abbreviations
10:02 Making sense of algebra
10:03 Substitution
10:04 Simplifying algebraic expressions
Fun Spot 10:04 - Let's improve our algebra skills
10:05 Grouping symbols
10:06 Factorising
10:07 Index notation
10:08 Graphing tables of values
10:09 Graphs involving directed numbers
10:10 Simplifying expressions with directed numbers
Reading maths 10:10 - What's in food?
10:11 Algebraic sentences (solving equations)
10:12 Solving problems using algebra
10:13 Investigation of real problems
Fun Spot 10:13 - Solving pyramids
Maths terms 10
Diagnostic Test 10 - Further Algebra
Revision Assignment
Mathematical Processes
Chapter 11
Fractions, Percentages and Probability
11:01 Exploring fractions
11:02 Comparing fractions
11:03 Review of fractions
Investigation 11:03 - Fractions
11:04 Addition and subtraction of fractions
11:05 Addition and subtraction of mixed numbers
11:06 Multiplication of fractions
11:07 Division involving fractions
11:08 Fractions of quantities
11:09 Review of percentages
11:10 Changing fractions and decimals to percentages
11:11 Changing percentages to fractions and decimals
11:12 Finding a percentage of a quantity
11:13 One quantity as a percentage of another
11:14 Applications of fractions and percentages
11:15 What chance of survival?
Fun Spot 11:15 - Where should the numbers go?
11:16 Probability
11:17 Complementary Events
Maths terms 11
Diagnostic test 11 -Fractions, Percentages and Probability
Revision assignment
Mathematical processes
Chapter 12
Statistics
12:01 Graphs and their features
Investigation 12:01 - Collecting graphs
12:02 Reading graphs
12:03 Reading tables
12:04 Misuse of graphs
12:05 Sorting data
12:06 Grouped data
12:07 Stem-and-leaf plots
Maths terms 12
Diagnostic test 12 - Statistics
Revision assignment
Mathematical processes
Chapter 13
Area and Volume
13:01 The definition of area
Investigation 13:01 - Finding area
13:02 Area of a rectangle
Investigation 13:02 - Area of a rectangle
13:03 Area of a triangle
13:04 Area problems
13:05 Measuring 3D space (volume)
Investigation 13:05 - Measuring 3D space
13:06 Volume of a rectangular prism
13:07 Capacity
Reading maths 13:07 - Capacity
Investigation 13:07 Estimating capacity
Fun Spot 13:07 - What makes money after 8pm?
Challenge 13:07 - The fantastic Soma cube
Maths terms 13
Diagnostic test 13 - Area and Volume
Revision assignment
Mathematical processes
Chapter 14
Using Geometrical Instruments
14:01 The ruler
14:02 The set square
14:03 The compasses
Challenge 14:03 - The golden rectangle
14:04 Constructing triangles
14:05 Constructing quadrilaterals
14:06 Constructing perpendicular and parallel lines
Maths terms 14
Diagnostic test 14 - Using Geometrical Instruments
Revision assignment
Mathematical processes
Chapter 15
Calculators
15:01 Using a calculator
15:02 Making estimates
15:03 2nd F and C
15:04 Speed and accuracy
15:05 Multiples, factors and patterns
15:06 Problem solving with the calculator
Fun Spot 15:06 - Make words with your calculator
Challenge 15:06 - The Grand Prix Car Race
Maths terms 15
Diagnostic test 15 - Calculators
Mathematical processes
Chapter 16
Investigating Pythagoras' Theorem
16:01 Investigating right-angled triangles
Investigation 16:01A - Right-angled triangles
Investigation 16:01B - Pythagoras' theorem
16:02 Using Pythagoras' theorem: calculating the hypotenuse
Investigation 16:02 - Pythagoras' triads
16:03 Using Pythagoras' theorem: Calculating one of the short side…
Fun Spot 16:03 - What happens when ducks fly upside down?
16:04 Miscellaneous exercises involving Pythagoras' theorem
Investigation 16:04 - Pythagoras and speed
Maths terms 16
Diagnostic test 16 - Investigating Pythagoras' Theorem
Revision Assignment
Mathematical processes
Chapter 17
Circles
17:01 Parts of a circle
17:02 Circumference of a circle
Investigation 17:02 - The circumference of a circle
17:03 Solving problems involving circumference
Fun Spot 17:03 - Do fewer bumps mean a smoother ride?
17:04 Area of a circle
Investigation 17:04 - The area of a circle
Challenge 17:04 - Pythagoras' theorem and circles
Maths terms 17
Diagnostic test 17 - Circles
Revision Assignment
Mathematical processes