### Planning and Activities

**Day 1**Write: 12, 15, 24, 30, 13, 48, 36, 25, 28, 21, 27 and 33. Give a card (2–12) to each child. Children hold up their number if it is a factor of 12.

*So, 12 is common multiple of all the numbers you are holding up*. Repeat for other numbers, including 13 (a prime number). Ring 12 and 24.

*Hold up your number if it is a factor of both numbers: a ‘common factor’.*Repeat for 12 and 15, 36 and 48, 21 and 28.

**Group Activities: T with Y5**

Y5

*Use the in-depth problem-solving investigation ‘What an odd thing!’ as today’s group activity.*

Or, use these activities:

-- Find common multiples from dice rolls/ common factors of pairs of numbers on a multiplication square.

-- Interpret a word problem; find factors, common multiples and lowest common multiples.

Y6 -- Investigate patterns made by joining multiples around the circumference of a circle. Reason about observations.

**Day 2**Children draw 3cm by 3cm square on cm² paper.

*What is the area?*Show how we can write this as 3². Children come up and ring any square numbers that they see on a multiplication square. Repeat for squares with sides 2, 4, 5 … 12cm. Make a 3 by 3 by 3 cube using cm³ cubes. Calculate total number of cubes. Write 3³ = 27. Together, calculate the first 5 cube numbers.

**Further Teaching with Y6**

Highlight the prime numbers on the ITP Number grid. Explain Goldbach’s conjecture.

**Group Activities: T with Y5**

Y5 -- Represent square numbers with paper cut-outs. Play a game to practise recognising square numbers.

-- In pairs, make ‘follow-me’ cards for sets of square or cube numbers.

Y6 -- Investigate Goldbach’s conjecture.

**Day 3**Show children a scale model of Hogwarts castle on the internet. Every dimension is 1/24 of what would be real-life size. Explain that groups of children will design their ideal bedroom. They are going to make a scale model, and so will need to calculate the new dimensions for each length. Calculate scale dimensions of a room, four-poster bed and trunk.

**Group Activities: T with Y5**

Y5/Y6 -- Make a scale model of a bedroom at Hogwarts, choosing from a list of items, first calculating dimensions, then making the items from cm2 paper.

**Day 4**Children measure their heart rates in beats per minute. Use this to discuss the concept of ‘rate’ (an amount of something that happens in a given unit of time). Discuss other examples of rate, e.g. rate of growth, rate of pay, speed.

**Further Teaching with Y6**

Children run for 30 seconds then retake their pulse. Repeat after running for 1 minute, 2 minutes, and then 3 minutes. Show children how to draw a line graph of the results.

**Group Activities: T with Y6**

Y5 -- Calculate rates involved in World Record breaking achievements.

Y6 -- Construct and interpret line graphs to investigate the effect of different forms of exercise on heart rate.