Squares, Cubes and Factors

#TheCompleteSeries5lessons

With lesson plans, slides, activity ideas, differentiated worksheets and other helpful resources, this 'Squares, Cubes and Factors' scheme of work provides everything you need for an engaging and challenging week of Maths teaching!

#Lesson1SquareNumbers

This Square Numbers KS2 Maths lesson teaches your Year 5 class to recognise and use square numbers. The included slideshow presentation for the teaching input starts off by showing your class visual representations of square numbers, then challenges them to multiply various numbers by themselves to find square numbers to a hundred and beyond.

They can then have a go at solving some calculations that involve square numbers, and there is an investigation to challenge them too!

This Square Numbers lesson provides everything you need to have your KS2 class fluent in recognising and using square numbers, including a lesson plan, slideshow presentation, differentiated activity ideas and a range of printable teaching resources.

#Lesson2CubeNumbers

This Cube Numbers KS2 lesson starts by recapping what square numbers are by matching square numbers to their square roots. Your Year 5 class will then move on to look at cubed numbers.

Using visual representations to support them, they will learn how to calculate cubed numbers for cube roots to ten (or even beyond for higher-ability children). The challenging plenary then explores what ‘to the power of’ means and challenges children to solve some tricky ‘two to the power of’ calculations.

This Cube Numbers KS2 planning pack contains a detailed lesson plan, a slideshow for the teaching input, differentiated activity ideas and a range of printable resources. Everything you need to deliver this challenging lesson is included so teaching your Year 5 children about cubed numbers will be a doddle!

#Lesson3FactorPairs

This Factor Pairs KS2 Maths lesson for Year 5 recaps what a factor is and challenges your children to find all the factor pairs for various two-digit numbers, introducing them to the fun ‘factorpus’ to help them record the factor pairs they find!

Their independent learning gives them the opportunity to find factor pairs for themselves, and there are some differentiated investigations to tackle too.

Downloading this Factor Pairs KS2 planning pack will give you a complete ready-to-teach lesson to help your Year 5 class make sense of factors. There's a lesson plan, a slideshow for the teaching input, differentiated activities and a range of printable teaching resources.

#Lesson4DivisibilityTests

This fun Year 5 Divisibility Tests Maths lesson will take your class's ability to find factors to numbers to the next level as they learn how to apply divisibility tests to three- and even four-digit numbers to find factors.

The slideshow presentation goes through some clear examples of how to do this before children are give then chance to apply these divisibility tests themselves through a variety of engaging and differentiated activities.

This Divisibility Tests lesson comes with a lesson plan, slideshow presentation, differentiated activity ideas and a range of printable teaching resources.

#Lesson5FindingEquivalentStatements

The final lesson in this Year 5 'Squares, Cubes and Factors' series will really get your class feeling like mathematicians as they use their knowledge of square numbers, cube numbers and factors to find equivalent mathematical statements.

This is a really useful activity to help them to understand that, for example, 2 x 4 x 16 is the same 8 x 4 x 4. They can use these statements to make impressively long number sentences or just to identify as many equivalent statements as they can, drawing on their understanding of squares, cubes and factors.

This lesson comes fully prepared and ready to teach with a detailed lesson plan, slideshow presentation, differentiated activities and a range of printable teaching resources.

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Curriculum Objectives covered

• Year 5 - identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers
• Year 5 - multiply and divide numbers mentally drawing upon known facts
• Year 5 - recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
• Year 5 - solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes