Powers of 10 Reasoning and Problem Solving

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What's included in the Powers of 10 Reasoning and Problem Solving resource and why is it useful?

Year 5 Powers of 10 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 Powers of 10 covering counting forwards or backwards in steps of powers of 10 for any given number up to 1,000,000.

Support

• Q1: Reasoning - explaining whether a measurement has been converted correctly using a power of 10, key fact and place value chart given to support.

• Q2: Reasoning - explaining whether a statement about how many tens there are in a 3-digit number is correct.

• Q3: Problem Solving - finding calculations where a 2-digit number is multiplied by a given power of 10; range given for answers.

Core

• Q1: Reasoning - explaining whether a measurement has been converted correctly using a power of 10; place value chart to support

• Q2: Reasoning - explaining whether a statement about how many tens or hundreds there are in a 4- or 5-digit number is correct.

• Q3: Problem Solving - finding calculations where a 3-digit number is multiplied by a given power of 10; range given for answers.

Stretch

• Q1: Reasoning - explaining whether a measurement has been converted correctly using two powers of 10.

• Q2: Reasoning - explaining whether a statement about how many hundreds there are in a 5-digit number is correct.

• Q3: Problem Solving - finding calculations where the power of 10 is not given; range given for answers.

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 Powers of 10 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

  • Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
  • Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
  • Solve number problems and practical problems that involve 5N1 - 5N5

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Autumn

5N1

5N5

5N6

Adaptive Teaching

Place Value