New
New
Year 7

Securing understanding of expressions and equations

I can manipulate a simple equation using a bar model.

New
New
Year 7

Securing understanding of expressions and equations

I can manipulate a simple equation using a bar model.

Lesson details

Key learning points

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

Common misconception

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.

Keywords

  • 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.

Be careful with language around priority of operations. Avoid saying 'do the brackets first' as this leads to misconception around expanding brackets. Give pupils time to explore methods that lead to the same answer.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Given that $$12+6=18$$, which equations are also true?
$$18+6=12$$
Correct answer: $$18-6=12$$
Correct answer: $$18-12=6$$
$$12-6=18$$
Q2.
Calculate: $$2+4\times 5$$ =
Correct Answer: 22, twenty two, twenty-two
Q3.
Calculate: $$10\times(6+3)$$ =
Correct Answer: 90, ninety
Q4.
Select another way of writing $$4\times 4\times 4$$
$$3^4$$
$$4^2$$
$$3\times 4$$
Correct answer: $$4^3$$
12
Q5.
The calculation $$38\times 14$$ is the same as $$14\times 38$$ because multiplication is __________.
associative
Correct answer: commutative
distributive
divisible
exponential
Q6.
Andeep is 1.4 metres tall, when he stands on a stool he is 1.7 metres tall. Which bar model represents this scenario?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz

6 Questions

Q1.
Find the value represented by the square in the bar model shown. The square represents
An image in a quiz
Correct Answer: 7, seven
Q2.
Here is $$7^4$$. What does the number 4 represent in this example?
the base
Correct answer: the exponent
the cube
the square
the multiple
Q3.
Which equations match the bar model shown?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q4.
Calculate: $$5\times(4+8)\div2^2$$ =
Correct Answer: 15, Fifteen
Q5.
Select any calculation that matches the description: 'I am thinking of a number. I add 5, then multiply by 10, then subtract 2"
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q6.
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 - $$2\times (5+4)\times3$$