Add Two 4-Digit Numbers - More than One Exchange Reasoning and Problem Solving

Adaptive Teaching
Worksheet
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What's included in the Add Two 4-Digit Numbers - More than One Exchange Reasoning and Problem Solving resource and why is it useful?

Year 4 Add Two 4-Digit Numbers - More than One Exchange 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 Add Two 4-Digit Numbers - More than One Exchange adding numbers with up to 4 digits using the formal written methods of columnar addition where appropriate.

Support

• Q1: Reasoning - judging a character’s claim about how many exchanges are needed, with place value counters.

• Q2: Problem Solving - finding pairs of 4-digit numbers that make a target code or total with two exchanges, within a given range.

• Q3: Problem Solving - choosing one missing digit so that an addition needs two exchanges.

Core

• Q1: Reasoning - judging a character’s claim about how many exchanges are needed.

• Q2: Problem Solving - finding pairs of 4-digit numbers that make a target code or total with two exchanges.

• Q3: Problem Solving - choosing two missing digits so that an addition needs two exchanges.

Stretch

• Q1: Reasoning - judging a character’s claim about which columns exchange.

• Q2: Problem Solving - finding pairs of 4-digit numbers that make a target code or total with three exchanges.

• Q3: Problem Solving - choosing two missing digits so that an addition needs three exchanges and the total has a zero placeholder. Calculation is written in linear form.

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 Add Two 4-Digit Numbers - More than One Exchange 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

  • Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
  • Estimate and use inverse operations to check answers to a calculation
  • Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

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Adaptive Teaching

Addition and Subtraction