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 6 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 identifying integers that are 10, 100 or 1,000 times smaller or greater than other integers.

Support

• Q1: Reasoning - explain whether a length conversion using powers of 10 is correct, using familiar conversions.

• Q2: Reasoning - explain whether a Gattegno chart has been used correctly to multiply by 10.

• Q3: Problem Solving - write three calculations using powers of 10 with a given answer that is a multiple of 1,000.

Core

• Q1: Reasoning - explain whether a length conversion using powers of 10 is correct.

• Q2: Reasoning - explain whether a Gattegno chart has been used correctly to multiply or divide.

• Q3: Problem Solving - write three calculations using powers of 10 with a given answer.

Stretch

• Q1: Reasoning - explain whether a comparison of two lengths in different units is correct.

• Q2: Reasoning - explain whether a Gattegno chart has been used correctly for a two-place move.

• Q3: Problem Solving - write three two-step calculations using powers of 10 with a given answer.

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

  • Read, write, order and compare numbers up to 10 000 000
  • Determine the value of each digit in numbers up to 10 000 000
  • Solve number and practical problems that involve 6N2 - 6N5

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6N2

6N3

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