form 1 mathematics notes.docx
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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