# EdPlace's Upper Key Stage 2 home learning maths lesson: BIDMAS

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**Now...onto the lesson!**

**Key Stage 2 Statutory Requirements for Maths**

**Year 5 and 6**students

**should be taught to use their knowledge of the order of operations to carry out calculations involving the four operations.**

# What's it all about?

Think the answer to 6 + 4 x 5 is 50? Think again!

There is a particular order in which we answer problems like this one and all we need to remember is:

**BIDMAS**

This article will teach you the order of operations to correctly answer problems.

We're confident that if you follow this step-by-step approach together, your child will be able to:

1) **U**** nderstand **what BIDMAS is.

2) **A**** pply **this to independent work.

3) **E**** xplain **to you how they completed their work if they've really cracked it!

## Step 1 - Terminology

Your child will need a basic understanding of the four operations: **addition**, **subtraction**, **multiplication** and **division**.

**Indices** (plural) – the **index** (singular) of a number shows how many times it is multiplied by itself, e.g. 52 = 5 x 5 = 25 53 = 5 x 5 x 5 = 125

## Step 2 - Prior Understanding

Your child will have learnt how to **add**, **subtract**, **multiply** and **divide** with increasingly larger numbers. When they get given questions involving the order of operations, the numbers are usually smaller. Fast recall of **times tables** and other number facts (such as number bonds) will be useful to your child.

## Step 3 - Introducing New Skill

The main thing you need to remember is: **BIDMAS** (or **BODMAS**)

**Brackets**

**Indices**. ** In BODMAS, the O stands for Orders, which is**

**Division. ** **the same as Indices.**

**Multiplication**

**Addition** **This is the order in which to complete the four**

**Subtraction** **operations questions.**

**It’s actually shaped like a pyramid:**

**Addition** and **subtraction** have equal importance – so only those are done from left to right.

**Division** and **multiplication** can be done in any order – you will get the same answer either way:

5 x 4 ÷ 2 = 20 ÷ 2 = 10 5 x 4 ÷ 2 = 5 x 2 = 10

**Examples:**

A) 5 + 2 x 4 = **13**

**Multiplication** comes before **addition**, so 2 x 4 = 8. Then we do 5 + 8 = **13**.

B) 64 – 10 ÷ 2 = **59**

**Division** comes before **subtraction**, so 10 ÷ 2 = 5. Then, 64 – 5 = **59**.

C) 3 + (5^{2} x 2) ÷ 10 = **8**

Order: **brackets**, **indices**, **division**, **addition**.

25 x 2 = 50. Then 50 ÷ 10 = 5. Then 8 + 5 = **8**

## Step 4 - Putting it into Practice

**Now have a go at these examples together:**

A) 6 + 4 x 5

B) 4^{3} + 15 ÷ 3

C) 7 + 48 ÷ (18 – 16)

D) 22 – 4 + 10

**Challenge questions:**

**Fill in the missing number**

A) (26 – 10) ÷ _____ = 4

B) 4 x _____ - 25 = 23

**Put the brackets in to make the answers correct**

C) 8 x 9 – 5 – 6 = 26

## Step 5 - Give it a go...

Why not test your child's understanding and see if they can tackle these activities?

All activities are **created by teachers and automatically marked.** Plus, with an EdPlace subscription, we can **automatically progress your child** at a level that's right for them. Sending you progress reports along the way so you can **track and measure progress, together** - brilliant!

**Warm-up activity – complete the operations in order **

Activity 1 – Mental Calculations (2)

Main Activities:

Activity 2 – Understand and Apply BODMAS Skills

Activity 3 – Using BIDMAS: Order of Operations in Calculations

Extension activities – use your four operations knowledge to answer these word problems

Activity 4 – Understand and Apply Problem Solving Skills 1

Activity 5 – Understand and Apply Problem Solving Skills 2

**Answers:**

A) 26

4 x 5 = 20 6 + 20 = 26

B) 69

4^{3} = 64 15 ÷ 3 = 5 64 + 5 = 69

C) 31

18 – 16 = 2 48 ÷ 2 = 24 7 + 24 = 31

D) 28

22 – 4 = 18 18 + 10 = 28 (addition and subtraction is left to right)

**Answer to Challenging questions:**

A) 4 (or 2^{2})

B) 12

C) 8 x (9 – 5) – 6 = 26

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