# Gr. 9 Rainbow Mathematics Book 1

## Index

**Gr. 9 Rainbow Maths Book 1 Index**

Whole numbers and properties of numbers

Multiples and factors

Exponents

Integers and patterns

Common fractions

Percentages and decimal fractions

Input and output

Algebra

Graphs

Financial mathematics

Geometric figures

Transformations

Geometric objects

Perimeter and area

Volume and surface area

Data

Real numbers, rational numbers and irrational numbers

Factorisation

Ratio, proportion and speed

What is direct proportion?

Indirect proportion

Finances – Budget, Loans and Interest

Finances – Hire Purchase

Finances – Exchange rates

Finances – Commissions and Rentals

Properties of numbers

Addition and subtraction of fractions

Addition and subtraction of fractions that include squares, cubes, square roots and cube roots

Multiplication of fractions

Division of fractions

Percentages

Common fractions, decimal fractions and percentages

Addition, subtraction and rounding of decimal fractions

Multiple operations with decimals

Calculate squares, square roots, cubes and cube roots

Exponential form

Laws of exponents: am × an = am+n

Laws of exponents: am ÷ an = am-n

Laws of exponents:am ÷ an = am-n if m<n

Laws of exponents: a0 = 1 and (a × t)n = antn

Application of the law of exponents

Sequences

Geometric and numeric patterns

Addition & subtraction of like terms

The product of a monomial and binomial or trinomial

The product of two binomials

More on the product of two binomials

Divide monomials and binomials

Substitution

Factorise algebraic expressions

Divide a trinomial and polynomial by a monomial

Linear equations that contain fractions

Solve equations of the form: a product of factors equals zero

Construct angles and polygons using a protractor

Using a pair of compasses

Constructing triangles

Constructing quadrilaterals

Regular and irregular polygons

Construct a hexagon

Constructing a pentagon

Constructing an octagon

Interior angles of a triangle

Triangles

Polygons

Similar triangles

Congruent triangles

Lines and angles

Complementary and supplementary angles

Transversals

Pairs of angles

Application of geometric figures and lines

Pythagorean theorem

Perimeter of a square and rectangle, area of a square and rectangle

Area of a triangle

Area of parallelograms and trapeziums

Area of a Rhombus and a kite

Area of a circle