Square Numbers Year 5 Multiplication and Division Learning Video Clip

Step 5: Square Numbers Year 5 Multiplication and Division Learning Video Clip

Mara Thon and Dec Athlon are taking part in the Qatar Olympics and Paralympics. Join them as they explore the Olympic Village and find their accommodation, using square numbers to help the stewards ensure all athletes have a place to stay.

More resources for Autumn Block 3 Step 5.

Not a member? Sign up here.

Discussion points for teachers

1. Which blocks can house a square number of athletes?
Discuss how to identify square numbers and numbers that are not square. Discuss which of the options shows a square number and what that number is the square of.
Blocks B (4 x 4 = 16), C (5 x 5 = 25), D (12 x 12 = 144) and E (9 x 9 = 81) can house a square number of athletes.

2. Help the steward divide the 122 athletes into the appropriate blocks.
Discuss the ways in which 122 athletes can be divided into square numbers. Identify which blocks can accommodate the groups of athletes.
122 athletes could be housed in blocks B, C and D because 16 + 25 + 81 = 122.

3. Use the clues to work out which block the athlete is staying in. Identify the two square numbers based on the clues.
Discuss if there is more than one possible answer and how that can be checked.
Block A, because the first square number is 100 (10 x 10; multiple of 5 between 80 and 130) and the second square number is 36 (6 x 6; multiple of 3 between 20 and 40). 100 + 36 = 136

4. How could the new athletes be grouped to fit into the accommodation? Which blocks will they stay in?
Discuss strategies for identifying how to group the athletes so that each group is a square number. Discuss if there is more than one answer.
Various possible answers, for example: 28 + 17 = 45, so the athletes could be grouped as 4 + 16 + 25 which would be blocks G, J and I. 

5. Order the flags from smallest to largest using the given information.
Discuss how to solve each of the clues and then order the values in ascending order.
Flag 3 ; Flag 1; Flag 2; Flag 4

National Curriculum Objectives

Mathematics Year 5: (5C5d) Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)

Mathematics Year 5: (5C8a) Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes

This resource is available to play with a Premium subscription.