Common Multiples Reasoning and Problem Solving

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What's included in the Common Multiples Reasoning and Problem Solving resource and why is it useful?

Year 6 Common Multiples Reasoning and Problem Solving is a set of 3 worksheets designed to be used during the independent reasoning and problem solving section of your maths lesson. Once children are secure in varied fluency, they are ready for these worksheets.

Each set has been carefully designed to help you meet each child where they are at to ensure progress for every child, not just the average child. The content includes 3 levels of content (Support, Core and Stretch) for Common Multiples covering identifying common multiples.

Support

• Q1: Reasoning – explain whether a statement about common multiples of two numbers is correct. List of one number’s multiples given.

• Q2: Reasoning – decide whether multiples have been sorted correctly into a table. One multiple already checked.

• Q3: Problem Solving - find a common multiple of two numbers with a condition given. First common multiple given.

Core

• Q1: Reasoning – explain whether a statement about common multiples of two numbers is correct.

• Q2: Reasoning – decide whether multiples have been sorted correctly into a table.

• Q3: Problem Solving - find a common multiple of two numbers with a condition given.

Stretch

• Q1: Reasoning – explain whether a statement about common multiples of three numbers is correct.

• Q2: Reasoning – decide whether multiples have been sorted correctly into a table. Add one more multiple.

• Q3: Problem Solving - find a common multiple of two numbers with two conditions given.

How do our reasoning and problem solving resources work?

Our reasoning and problem solving resources are not just about differentiation, but differentiation in an adaptive way. They work best alongside our teaching PowerPoints, which walk you through the whole lesson along with other lesson resources that you can find on our Common Multiples lesson page.

• After completing the Varied Fluency worksheet, children are now ready for their Reasoning and Problem Solving work.

• Most children will use the Core sheet for their Reasoning and Problem Solving practice.

• Some children may need the Support sheet. This has been included to give specific children the additional support required to develop their reasoning and problem solving skills and access the core content.

• Some children may need additional challenge; the Stretch sheet will deepen their understanding of the core content.

• Within the Teaching PowerPoint, a question similar to what is presented in question 1 on these sheets is given, alongside sentence stems. This can be used to lead discussion on how to solve question 1 and give all children ideas on what reasoning can be used, via oracy, to tackle the question.

Adaptive Maths Resources are not a separate lower-attainment route. They provide temporary and responsive support to help pupils access the same intended learning.

This resource is designed to align to White Rose Maths version 3. Classroom Secrets Limited is not affiliated with, endorsed by, or in any way connected to White Rose Education Limited. Our products are original to Classroom Secrets Limited and any reference to White Rose Maths is solely for the purpose of indicating compatibility and does not imply any association with White Rose Education.


Curriculum Objectives

  • Identify common factors, common multiples and prime numbers

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Autumn

6C5

Adaptive Teaching

Addition, Subtraction, Multiplication and Division