Lesson 4/5

Learning Intention:

We are learning to use and understand the order of operations to solve number problems and create our own.

I can:

• explain what order of operations means.
  
  

• use the correct order to solve problems.
  
  

• create and solve my own equations using more than one operation.

 What do you notice about the following problem?

4 + 5 × 2

• What answer do you get if you go left to right?
  
  

• What answer do you get if you multiply first?
  
  

• Why are the answers different?

The order of operations tells us the right order to solve problems so we all get the same answer.

Main Task 

Can you create two different number sentences using the same numbers that give different answers, just by changing the operations or the order?

Example:

6 + 2 × 5 = 16  

(6 + 2) × 5 = 40

Your Task:

1. Start with 3 to 5 numbers (your choice).
   
   

2. Use at least two different operations.
   
   

3. Write two number sentences that look similar but give different answers.
   
   

4. Use brackets  or indices
   
   

5. Show your working out and explain what you did.

Extension:

• Can you make a number sentence that equals 100?
  
  

• Can you use all four operations (+ − × ÷)?
  
  

• Can you create a number puzzle for a friend to solve?
  
  

Partner Share 

• Swap your number sentences with a partner.
  
  

• Can they explain why the answers are different?
  
  

• Did they solve your challenge correctly?
  
  

Reflection

• Why do we need a rule for the order of operations?
  
  

• What would happen if everyone did it their own way?
  
  

• What was tricky or fun about today’s lesson?