Form 1 Mathematics Notes.docx 171ig
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Maths Syllabus – Form 1 Chapter 1: Whole Numbers - Introduction - Whole numbers - Addition and subtraction - Multiplication and Division - Combined operations Chapter 2: Number Patterns and Sequences - 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: Fractions - 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: Decimals - 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
MISS.ASWANE POORNESVERAN
Chapter 6: Integers - Introduction - Integers - Addition and Subtraction of Integers Chapter 7: Algebraic Expressions - Introduction - Concept of Unknowns - Algebraic - Algebraic Expressions Chapter 8: Basic Measurement - Introduction - Length - Mass - Time - The 12-Hour and the 24-Hour System Chapter 9: Lines and Angles - Introduction - Angles - Parallel and Perpendicular Lines - Intersecting Lines Chapter 10: Polygons - Introduction - Polygons - Symmetry - Triangles - Quadrilaterals Chapter 11: Perimeter and Area - 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
MISS.ASWANE POORNESVERAN
CHAPTER 1
MISS.ASWANE POORNESVERAN
CHAPTER 2
MISS.ASWANE POORNESVERAN
CHAPTER 3
MISS.ASWANE POORNESVERAN
CHAPTER 4 DECIMALS
MISS.ASWANE POORNESVERAN
CHAPTER 5
MISS.ASWANE POORNESVERAN
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 :
MISS.ASWANE POORNESVERAN
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:
MISS.ASWANE POORNESVERAN
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 :
MISS.ASWANE POORNESVERAN
CHAPTER 6
MISS.ASWANE POORNESVERAN
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 a number. The number is known as the coefficient. For example:
5p Coefficient
Unknown
Like are that have the same unknown. For example:2k , 3k Unlike are term that have different unknowns. For example:-3m, 2n, 6 p An algebraic expression consists of two or more that combined by additionor subtraction or both of the operations. For example:3x + 4y - 6 is an expression with three . The like in an algebraic expression can be simplified by adding orsubtracting the coefficients of the unknowns in the algebraic . For example: x + 4y + 2x – 3y = x+2x+4y – 3y =3x+ y
MISS.ASWANE POORNESVERAN
CHAPTER 8
MISS.ASWANE POORNESVERAN
Conversion between Units of Time State a The relationships between the units of time are as follows :
MISS.ASWANE POORNESVERAN
CHAPTER 9
MISS.ASWANE POORNESVERAN
MISS.ASWANE POORNESVERAN
CHAPTER 10
MISS.ASWANE POORNESVERAN
MISS.ASWANE POORNESVERAN
(ii)
(iii)
MISS.ASWANE POORNESVERAN
(b) The types of angles
MISS.ASWANE POORNESVERAN
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
LENGTH / HEIGHT
BREADTH / BASE
The height of a shape is the perpendicular distance from the base to the highest point.
The base of a shape is the lowest part.
Area of a triangle = ½ x Base x Height7.
HEIGHT
BASE
MISS.ASWANE POORNESVERAN
Area of a parallelogram = Base x Height
Area of a trapezium = ½ x Sum of two parallel sides x Height = ½ (a+b) x h
a
b
MISS.ASWANE POORNESVERAN
CHAPTER 12 SOLID GEOMETRY 1 1. Geometric solids are three-dimensional shapes, that have length, breadth and height.
Cube
Cylinder EDGE
FACE
VERTEX
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 ing 6 faces or by folding the layouts of the solids.
MISS.ASWANE POORNESVERAN
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
LENGTH BREADTH
HEIGHT
MISS.ASWANE POORNESVERAN
MISS.ASWANE POORNESVERAN
Chapter 6: Integers - Introduction - Integers - Addition and Subtraction of Integers Chapter 7: Algebraic Expressions - Introduction - Concept of Unknowns - Algebraic - Algebraic Expressions Chapter 8: Basic Measurement - Introduction - Length - Mass - Time - The 12-Hour and the 24-Hour System Chapter 9: Lines and Angles - Introduction - Angles - Parallel and Perpendicular Lines - Intersecting Lines Chapter 10: Polygons - Introduction - Polygons - Symmetry - Triangles - Quadrilaterals Chapter 11: Perimeter and Area - 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
MISS.ASWANE POORNESVERAN
CHAPTER 1
MISS.ASWANE POORNESVERAN
CHAPTER 2
MISS.ASWANE POORNESVERAN
CHAPTER 3
MISS.ASWANE POORNESVERAN
CHAPTER 4 DECIMALS
MISS.ASWANE POORNESVERAN
CHAPTER 5
MISS.ASWANE POORNESVERAN
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 :
MISS.ASWANE POORNESVERAN
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:
MISS.ASWANE POORNESVERAN
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 :
MISS.ASWANE POORNESVERAN
CHAPTER 6
MISS.ASWANE POORNESVERAN
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 a number. The number is known as the coefficient. For example:
5p Coefficient
Unknown
Like are that have the same unknown. For example:2k , 3k Unlike are term that have different unknowns. For example:-3m, 2n, 6 p An algebraic expression consists of two or more that combined by additionor subtraction or both of the operations. For example:3x + 4y - 6 is an expression with three . The like in an algebraic expression can be simplified by adding orsubtracting the coefficients of the unknowns in the algebraic . For example: x + 4y + 2x – 3y = x+2x+4y – 3y =3x+ y
MISS.ASWANE POORNESVERAN
CHAPTER 8
MISS.ASWANE POORNESVERAN
Conversion between Units of Time State a The relationships between the units of time are as follows :
MISS.ASWANE POORNESVERAN
CHAPTER 9
MISS.ASWANE POORNESVERAN
MISS.ASWANE POORNESVERAN
CHAPTER 10
MISS.ASWANE POORNESVERAN
MISS.ASWANE POORNESVERAN
(ii)
(iii)
MISS.ASWANE POORNESVERAN
(b) The types of angles
MISS.ASWANE POORNESVERAN
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
LENGTH / HEIGHT
BREADTH / BASE
The height of a shape is the perpendicular distance from the base to the highest point.
The base of a shape is the lowest part.
Area of a triangle = ½ x Base x Height7.
HEIGHT
BASE
MISS.ASWANE POORNESVERAN
Area of a parallelogram = Base x Height
Area of a trapezium = ½ x Sum of two parallel sides x Height = ½ (a+b) x h
a
b
MISS.ASWANE POORNESVERAN
CHAPTER 12 SOLID GEOMETRY 1 1. Geometric solids are three-dimensional shapes, that have length, breadth and height.
Cube
Cylinder EDGE
FACE
VERTEX
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 ing 6 faces or by folding the layouts of the solids.
MISS.ASWANE POORNESVERAN
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
LENGTH BREADTH
HEIGHT
MISS.ASWANE POORNESVERAN
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