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# Gr. 1 Rainbow Mathematics Book 1

## Index

Grade 1 Rainbow Maths Book 1 Index
Revision: Tracking and matching
Revision: Sorting colours and tracing patterns
Revision: Colours and patterns
Revision: Sorting and matching shapes
Revision: Find and count
Revision: Positions
Revision: Time
Revision: Shapes, sizes, and colours

One
Two
Three
Length and position
Length
Compare numbers 1 to 3
Four
Add and subtract up to 4
Time
Five
Revise numbers 1 to 5
Subtract from 5 and add up to 5
Add and subtract up to 5
Addition and subtraction 1 to 5
Balls and boxes
Left and right
Direction
Building up and breaking down numbers

Bigger and smaller
Sort objects
Let us share equally
Sharing and grouping
Building objects
Telling time
Six
Seven
Eight
Nine
Full or empty
Ten
Numbers 1 to 10
Capacity and volume
Number 1 to 10
More, equal and less

Collecting and organising
Addition: building and breaking to 10
Doubling and halving
Shapes
More 2-D shapes
Groups of two to 10
Repeated addition of twos up to 10
Patterns: 2 to 20
Groups of three up to 10
Repeated addition of threes to 10
Groups of four up to 10
Repeated addition of fours up to 10
Groups of five up to 10
Repeated addition of fives up to 10
Five patterns to 20
Tens of patterns
Numbers and money

Money and change
More money and change
Shape, orientation and position
Patterns with geometric shapes
2-D shapes and 3-D objects

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# Gr. 8 Rainbow Mathematics Book 1

Gr. 8 Rainbow Maths Book 1

## Index

Gr. 8 Rainbow Maths Book 1 Index
Doing calculations
Multiples and factors
Exponents
Integers
Common fractions
Percentages and decimal fractions
Input and output
Algebraic expressions and equations
Graphs
Financial mathematics
Geometric figures
Transformations
Geometry
Perimeter and area
Volume and surface area
Data

Natural numbers, whole numbers and integers
Commutative, associative and distributive properties
Factors, prime factors and factorising
Multiples and the lowest common multiple
Highest common factor and lowest common multiple of three-digit numbers
Finances – profit, loss and discount
Finances – Budget
Finances – loans and interest
Finances – Hire Purchase
Finances – exchange rates
Sequences that involve integers
Calculations with multiple operations
Properties of numbers and integers
Square numbers, cube numbers and more exponents
Square numbers and square roots

Representing square roots
Cube numbers and roots
Representing cube roots
Scientific notation
Laws of exponents: xm xn = xmn
Law of exponents: xm ÷ xn = xm − n
More laws of exponents: (xm)n = xmn
Law of exponents: (x°) = 1
Calculations with exponents
Calculations with multiple operations (square and cube numbers, square and cube roots)
Numeric patterns
Input and output values
Algebraic vocabulary
Like terms: whole numbers
Like terms: integers
Writing number sentences

Set up algebraic equations
Balance an equation
Substitution
Algebraic equations
Solving problems
Divide monomials, binomials and trinomials by integers or monomials
Simplify algebraic expressions
Calculate the square numbers, cube numbers and square roots of single algebraic terms
Multiple operations: rational numbers
Multiple operations
Division operations
Constructing geometric figures
Construction with a protractor
Parallel and perpendicular lines
Construct angles and a triangle
The sum of the interior angles of any triangle equals 180°

Constructing polygons
Polygons
Similar Triangles
Congruent triangles
Similar triangles problems
Diagonals
Parallel and perpendicular lines
Pairs of Angles
Gr. 8 Problems
Geometric figures puzzle fun

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# Gr. 7 Rainbow Mathematics Book 1

Gr. 7 Rainbow Maths Book 1

## Index

Gr. 7 Rainbow Maths Book 1 Index
Represent nine-digit numbers
Compare and order whole numbers
Prime numbers
Rounding off to the nearest 5, 10, 100 and 1 000
Calculating whole numbers
Factors and multiples
Fractions
Decimals
Patterns
2-D shapes and 3-D objects
Transformations
Area, perimeter and volume
Time
Temperature, length, mass and capacity
Probability
Data

Commutative property of addition and multiplication
Associative property of addition and multiplication
Distributive property of multiplication over addition
Zero as the identity of addition, one as the identity of multiplication, and other properties of numbers
Multiples
Divisibility and factors
Ratio
Rate
Money in South Africa
Finances – Profit, loss and discount
Finances – Budget
Finances – Loans and Interest
Finances

Square and cube numbers
Square and cube roots
Exponential notation
Estimate and calculate exponents
Estimate and calculate more exponents
Numbers in exponential form
Construction of geometric figures
Angles and sides
Size of angles
Using a protractor
Parallel and perpendicular lines

Construct angles and a triangle
Circles
Triangles
Polygons
Congruent and similar shapes
Fractions
Equivalent fractions
Simplest form
Add common fractions with the same and different denominators
Multiply unit fractions by unit fractions
Multiply common fractions by common fractions with the same and different denominators
Multiply whole numbers by common fractions
Multiply common fractions and simplify
Solve fraction problems
Solve more fraction problems
Fractions, decimals and percentages

Percentage increase and decrease
Place value, and ordering and comparing decimals
Writing common fractions as decimals
Decimal fractions
Addition and subtraction with decimal fractions
Multiplication of decimal fractions
Division, rounding off and flow diagrams
Flow diagrams
Tables
Input and output values
Perimeter and area
Area of triangles
Area conversion
Understanding the volume of cubes
Volume of cubes
Volume of rectangular prisms
Volume problems
Volume and capacity
Surface area of a cube
Surface area of rectangular prisms
Surface area problem solving