Menu

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

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Writing Formula


L.O to be able to write and understand algebraic formulae for word problems

Formulae are a way of rewriting problems or describing a rule. They are written in algebraic form which means that letters are used. However the main element that shows that something is a formulae is that it will contain an = sign. Without even thinking about it, you have already been using formulae in maths before; for instance when working out the area of a triangle.

Here the base and perpendicular heighthave been abbreviated, shortened, to b and h. This is exactly the point of formulas, to make solving problems later on easier, in such a way that any measurement can be applied to the formulae. Similarly you have already used formulas when working out other problems (notably areas) for example:

Note how each of these formulas have an = sign. Now you are familiar with what formulas look like, it is now time to substitute values into formula   As shown above, formulae can be used to help solve problems. However you need to be able to write formulae before you can solve or manipulate them further. For instance if in a supermarket you see an apple for 20p and you wanted to buy 3 apples, you would mentally apply the following calculation: 1 apple is 20p 2 apples are (20 X 2) = 40p 3 apples are (20 X 3) = 60p So the formula to work out the cost of buying a number of apples is:

Cost= 20 x number of apples being bought

 

Cake baskets are £50 each. Samantha has many friends coming and wants a formula to help calculate the cost. In this example you would do as before: 1 basket = £50 2 baskets are (50 X 2) = £100 3 baskets are (50 X 3) = £150

Cost = 50 x number of basket being bought

Example 1:  Jane is going to order some parcels online. Each parcel costs £5 but also has a small administration fee of £2.50 for each order processed. Write a formula to calculate the cost of one of Jane’s orders.

Example 2:  Aqif is having a banquet. The cost of a 3 course meal per adults is £15, per child is £6 and for younger children is £3. There is also a fee of £35 for hiring the hall. Write a formula to calculate the cost of Aqif’s banquet.

Example 3:  A group of 6 friends are making a fruit basket containing: apples at 60p each, pears at 40p and oranges at 80p each. They decide to split the cost of the basket equally between them. Write a formula for the cost of each person.

Example 4: Sarah is having a birthday party and wants to make 5 bags that contain a different number of toys (30p), sweets (50p) and messages (55p). Write a formula for a given number of items for 5 party bags.

Previous      1 2 3      Next

2 3   

“Mistakes are proof that you’re trying.” Cara Delevingne.

++44 (0)1924 506010