Table of Contents

 

Algebra | Unit 1 | Expressions and Formula

Page 1 | Writing Formula

Page 2 | Solving Formula

Page 3| Changing the Subject of a Formula

Algebra | Unit 2 | Inequalities

Page 1 | Number Lines

Page 2 | Solving Inequalities

Algebra | Unit 3 | Equations

Page 1 | Solving Equations

Page 2 | Equations with Brackets

Page 3 | Equations with Fractions

Algebra | Unit 4 | Graphs

Page 1 | Straight Line Graphs ( y = mx + c )

Algebra | Unit 5 | Patterns and Sequences

Page 1 | Basic Patterns

Page 2 | Linear Sequences & nth term

Page 3 | Quadratic Equations

Shape, Space and Measure | Unit 1 |Transformations

Page 1 | Congruent Shapes

Page 2 | Translations

Page 3 | Rotations

Page 4 | Reflections

Page 5 | Enlargements

Shape, Space and Measure | Unit 2 |Symmetry

Page 1 | Line Symmetry

Page 2 | Rotational Symmetry

Shape, Space and Measure | Unit 2 |Coordinates

Page 1 | Plotting Coordinates

Shape, Space and Measure | Unit 3 |Perimeter, Area, Volume

Shape, Space and Measure | Unit 4 |Measurement

Page 1 | Estimation and Accuracy

Page 2 | Scales

Page 3 | Conversions (Metric & Imperial)

Page 4 | Area and Volume Unit Conversions

Shape, Space and Measure | Unit 5 |Trigonometry

Page 1 | Triangle Construction

Shape, Space and Measure | Unit 6 |Pythagoras

Page 1 | Pythagoras Theorem

Page 2 | Line Segments

Shape, Space and Measure | Unit 7 |Angles

Page 1 | Summary of Drawing  &Reading Angles

Page 2 | Angle Sum in Different Shapes

Page 3 | Angles in a Polygon

Page 4 | Angles and Parallel Lines

Page 5 | Perpendicular Bisectors

Page 6 | Angle Bisectors

Page 7 | Constructing Loci

Shape, Space and Measure | Unit 8 |Shapes

Page 1 | Properties of Circles

Page 2 | Properties of Polygons

Page 3 | Properties of Triangles

Page 4 | 3D Shapes: Nets & Faces

Shape, Space and Measure | Unit 8 |Time

Page 1 | Units of Time

Page 2 | 12 & 24 Hour Clocks

Page 3 | Timetables

Number | Unit 1 |Place Value

Number | Unit 2 |Distance, Speed and Time

Number | Unit 3 |Rounding and estimating

Number | Unit 4 |Ratio and Proportion

Page 1 | Equivalent Ratios

Page 2 | Division with Ratios

Page 3 | Scale Drawings & Maps

Page 4 | Proportions

Number | Unit 5 |Primer numbers, factors and multiples

Number | Unit 6 |Powers and roots

Number | Unit 7 |Decimals

Page 1 | X 10, 100 & 1000

Page 2 | ÷10, 100 & 1000

Page 3 | Multiplying and Dividing by Whole Numbers

Number | Unit 8 |Positive and negative numbers

Page 1 | Operations with Positive and Negative Numbers

Number | Unit 9 |Operations

Page 1 | BIDMAS Rule

Page 2 | Multiplication & Division (Different Methods)

Page 3 | Converting Fractions, Decimals & Percentages

Number | Unit 10 |Fractions

Page 1 | Equivalent Fractions

Page 2 | Simplifying Fractions

Page 3 | Mixed Numbers

Page 4 | Improper Fractions

Page 5 | Ordering Fractions

Page 6 | Addition & Subtraction

Page 7 | Multiplication & Division

Number | Unit 11 |Percentages

Page 1 | Percentages of Quantities

Page 2 | Interest, Wages & Quantities

Number | Unit 12 |Standard Index form

Page 1 | Decimals in Standard Form

Page 2 | Writing in Standard Form

Page 3 | Addition and Subtraction un Standard Form

Page 4 | Multiplication and Division in Standard Form

Handling Data | Unit 1 |Collecting & Recording Data Representing Data

Page 1 | Tables & Tally Diagrams

Page 2 | Frequency Tables

Page 3 | Stem & Leaf Diagrams

Handling Data | Unit 2 |Representing Data 

Page 1 | Bar Charts

Page 2 | Line Graphs

Page 3 | Pictograms

Page 4 | Frequency Polygons

Page 5 | Scatter Diagrams

Page 6 | Pie Charts

Handling Data | Unit 2 |Averages

Page 1 | Mean, Median, Mode & Range

Page 2 | Averages of Grouped Data

Handling Data | Unit 2 |Probability

Page 1 | Basic Probability

Page 2 | Sum of Probabilities

Page 3 | Probability of Combined Events

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Changing the Subject of the Formula


L.O. To be able to rearrange formula so that a new term is the subject

The subject of the formula is simply the letter or term that is placed on the left hand side (LHS) of the formulae. For instance in the following example:

C is the subject of the formulae as it is on the LHS

Note that in the example given above and in all the formula you will come across there will be other terms in the formula itself. For instance in the example above the other term mentioned is p.

When the question asks to change the subject pf the formulae, it simply means, change what is on the LHS of the formula.

A typical example would ask:

Make p the subject of the following formulae: C = 5p + 4

The first step to changing the subject of a formula is to understand the formula itself.

Changing the subject requires you to apply the inverse operations.

This can be easily understood when drawing a flow diagram as shown below.

Example 1: F = 6p – 9 Rearrange this formula to make p the subject

Example 2 : B = 3v / 4. Rearrange this formula to make v the subject

Example 3 :S = 6f2. Rearrange this formula to make f the subject

Example 4 : D = t + ba2. Rearrange this formula to make a the subject

Example 5 : Y = 3b – 4a2. Rearrange this formula to make a the subject

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“Just because something is difficult doesn’t mean you shouldn’t try. It just means you should try harder.” Anonymous

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