Securing understanding of expressions and equations | Maths

Starter quiz

Given that $12+6=18$ , which equations are also true?
- $18+6=12$
- $18-6=12$ ✓
- $18-12=6$ ✓
- $12-6=18$
Calculate: $2+4\times 5$ = ______
- '22' ✓
Calculate: $10\times(6+3)$ = ______
- '90' ✓
Select another way of writing $4\times 4\times 4$
- $3^4$
- $4^2$
- $3\times 4$
- $4^3$ ✓
- 12
The calculation $38\times 14$ is the same as $14\times 38$ because multiplication is __________.
- associative
- commutative ✓
- distributive
- divisible
- exponential
Andeep is 1.4 metres tall, when he stands on a stool he is 1.7 metres tall. Which bar model represents this scenario?

Find the value represented by the square in the bar model shown. The square represents ______
- '7' ✓
Here is $7^4$ . What does the number 4 represent in this example?
- the base
- the exponent ✓
- the cube
- the square
- the multiple
Which equations match the bar model shown?
Calculate: $5\times(4+8)\div2^2$ = ______
- '15' ✓
Select any calculation that matches the description: 'I am thinking of a number. I add 5, then multiply by 10, then subtract 2"
Starting with the smallest, sort these calculations into order of size when evaluated.
- 1
  
  ⇔
  
  $2\times 5+4\times3$
- 2
  
  ⇔
  
  $2\times (5+4\times3)$
- 3
  
  ⇔
  
  $(2\times 5+4)\times3$
- 4
  
  ⇔
  
  $2\times (5+4)\times3$

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Calculations can be evaluated by following the standard order of operations for 4 operations.
Calculations including exponents and brackets can be evaluated following the standard order of operations.
A bar model can be used to represent an equation.
A bar model can be used to find unknowns in a simple equation.

Pupils think division has to be calculated before multiplication and addition before subtraction.

Show pupils different ways of working out the same calculation that gives the same answer.

Equation - An equation is used to show that one number or calculation is equal to another.
Exponent - An exponent is a number positioned above and to the right of a base value. It indicates repeated multiplication.
Commutative - An operation is commutative if the values it is operating on can be written in either order without changing the calculation.