FORM 1 MATHEMATICS NOTES.docx

8/13/2019 FORM 1 MATHEMATICS NOTES.docx

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MISS.ASWANE POORNESVERAN

Maths Syllabus Form 1Chapter 1: Who le Numbers

- Introduction- Whole numbers

- Addition and subtraction

- Multiplication and Division

- Combined operations

Chapter 2: Number Patterns and Sequenc es

- Introduction

- Number patterns and sequences

- Odd and Even Numbers- Prime numbers

- Factors

- Prime factors

- Multiples

- Common multiples and lowest common multiple (LCM)

- Common factors and highest common factor

Chapter 3: Fractio ns

- Introduction

- Fractions- Equivalent fractions

- Mixed numbers

- Proper fractions and improper fractions

- Addition and subtraction of fractions

- Multiplication and division of fractions

- Combined operations

Chapter 4: Decim als

- Introduction- Relationship Between Decimals and Fractions

- Place Value and Value of Each Digit in Decimals

- Addition and Subtraction of Decimals

- Multiplication and Division of Decimals

- Combined Operations

Chapter 5: Percentages

- Introduction

- Relationship Between Percentages, Fractions and Decimals

- Perform Computations and Solve Problems Involving Percentages


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Chapter 6: Integers

- Introduction

- Integers

- Addition and Subtraction of Integers

Chapter 7: Algebraic Expression s

- Introduction

- Concept of Unknowns

- Algebraic Terms

- Algebraic Expressions

Chapter 8: Basic Measurement

- Introduction

- Length

- Mass- Time

- The 12-Hour and the 24-Hour System

Chapter 9: Lines and A ngles

- Introduction

- Angles

- Parallel and Perpendicular Lines

- Intersecting Lines

Chapter 10: Polygon s

- Introduction

- Polygons

- Symmetry

- Triangles

- Quadrilaterals

Chapter 11: Perimeter and A rea

- Introduction

- Perimeter- Area of Rectangles

- Area of Triangles, Parallelograms and Trapeziums

Chapter 12: Solid Geometry

- Introduction

- Geometric Properties of Cubes and Cuboids

- Volume of Cuboids


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CHAPTER 1


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CHAPTER 2


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CHAPTER 3


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CHAPTER 4

DECIMALS


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CHAPTER 5


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To find the increase in value, use the formula below :

To find the final value, use any one of the formula below :

To find the decrease in value, use the formula:

Use any of the following formula to find the final value:

Profit and loss can be calculated by using the following formula :


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Use one of the following formula to find the percentage of profit or percentage

of loss.

Simple interest and the rate in percentage a year are calculated as follows :

The principal can be calculate by the formula :

Dividend and percentage of dividend can be calculate by using the formulae:


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Commission and the percentage of commission can be calculated by using the

formilae :

The formulae for calculating discount and the percentage of discount are as

follows :


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CHAPTER 6


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CHAPTER 7

An unknown is a quantity whose value is not known.2.

An unknown can be represented by a symbol or a letter.3.

An algebraic term with one unknown is the product of an unknown and anumber. The number is known as the coefficient.

For example: 5 p

Like terms are that have the same unknown.

For example:2k , 3k

Unlike terms are term that have different unknowns.

For example:-3m, 2n, 6 p

An algebraic expression consists of two or more terms that combined byadditionor subtraction or both of the operations.

For example:3x + 4y - 6 is an expression with three terms.

The like terms in an algebraic expression can be simplified by addingorsubtracting the coefficients of the unknowns in the algebraic terms.

For example: x + 4y + 2x

3y = x+2x+4y

3y =3x+ y

Coefficient Unknown


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CHAPTER 8


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Conversion between Units of Time

State a The relationships between the units of time are as follows :


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CHAPTER 9


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CHAPTER 10


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(ii)

(iii)


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(b) The types of angles


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CHAPTER 11

The perimeter is the total length of all the sides that enclose the region.2.

Area is a measure of the amount of surface covered.3.

Area of a rectangle = Length x Breadth

The heightof a shape is the perpendicular distance from the base to the highest

point.

The baseof a shape is the lowest part.

Area of a triangle = x Base x Height7.

LENGTH / HEIGHT

BREADTH / BASE

HEIGHT

BASE


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Area of a parallelogram = Base x Height

Area of a trapezium = x Sum of two parallel sides x Height

= (a+b) x h

a

b


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CHAPTER 12

SOLID GEOMETRY 1

1. Geometric solids are three-dimensional shapes, that have length, breadth andheight.

Cube Cylinder

Cuboid

2. A cuboid and a cube each has 8 vertices, 12 edges and 6 faces.

3. A cube is a special type of cuboid in which all the edges have the same length.

4. A cube and a cuboid can be made by joining 6 faces or by folding the layouts of

the solids.

EDGE

FACE

VERTEX


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5. Volume is a measure of the amount of space occupied.

6. Volume of a cuboid = Length x Breadth x Height

7. Volume of a cube = Length x Length x Length

BREADTH

LENGTH

HEIGHT

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FORM 1 MATHEMATICS NOTES.docx