Renata is returning some objects to the Luna Galaxy after studying them on her spaceship. Help her to overcome the problems she faces using your knowledge of order of operations!
More resources for Autumn Block 2 Step 13.
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Discussion points for teachers
1.Which calculation should Renata use to represent this scenario?
Discuss the order of operations needed to solve the problem. Discuss the errors made in the other calculations and why these cannot be correct.
8 x 9 – 9 = 63
2.What scenarios could be represented by the other 2 calculations?
Discuss word problems or scenarios that would fit the incorrect calculations. This question is open-ended for the children to explore.
Various answers, for example: 8 (9 – 1) = 64 would apply if she decided to put 1 rock back from each of the other moons.
3.Where do the missing brackets need to go?
Discuss the order of operations needed to correctly answer the number sentence. Discuss where this means the brackets must be placed. Discuss if the calculation could be written in different ways. Discuss what the answers would be if the brackets were placed in different positions in the number sentence.
(10 + 20 – 2) ÷ 7
4.How could Renata represent her working out in a single number sentence?
Discuss the order of operations needed to correctly solve the problem and how this could be written out. Discuss if there is more than one way to represent the problem.
(3 x 12) + (10 x 2)
5.What mistake has Renata made with this calculation?
Discuss the order of operations used in the working out and what each of the numbers means and what is happening with each of the operations. Discuss the order Renata would need to use to correctly calculate the answer.
Renata's calculation shows that an additional astronaut has been added on rather than an additional 7 treats. The calculation should be (56 ÷ 7) + 1
National Curriculum Objectives
Mathematics Year 6: (6C9) Use their knowledge of the order of operations to carry out calculations involving the four operations
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