year 4 problem solving lesson

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Problem-solving maths investigations for year 4.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 4 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 4 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 4:

• Individually, they are incorporated into every unit in our Year 4 flexible maths blocks .
• Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 4 .

Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

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Problem solving: Using all four operations

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Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.

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Lesson details

Key learning points.

• In this lesson, we will solve a multi-step problem using all four operations; addition, subtraction, multiplication and division.

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

4 Questions

Lesson appears in, unit maths / multiplication and division.

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Maths Resources & Worksheets >

Year 4 Resources and Worksheets

About these resources.

These Year 4 maths lessons for KS2 include teacher led IWB and PowerPoints, worksheets and activities for Year 4 primary teachers. There are lessons, worksheets and activities for each area of the curriculum. Our lessons are organised into blocks and steps to ensure full coverage for the National Curriculum in an order that builds and progresses across the year. Place Value, Addition and Subtraction, Shape, Mass, Capacity and temperature, Weight and Volume, Multiplication and Division, Fractions, Position and Direction, Statistics, Money and Time resources are covered. In addition, we have different question types including varied fluency, reasoning and problems solving, investigations and consolidation .

Maths Stem Sentences

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Other Maths Resources

Spring maths year 4 area resources & worksheets, spring maths year 4 decimals resources & worksheets, spring maths year 4 fractions resources & worksheets, spring maths year 4 multiplication & division resources & worksheets, summer block 1 (decimals), summer block 2 (money), summer block 3 (time), summer block 4 (statistics), summer block 5 (properties of shape), summer block 6 (position and direction), times tables quizzes, year 4 autumn maths - addition and subtraction, year 4 autumn maths - length and perimeter, year 4 autumn maths - multiplication and division, year 4 autumn maths - place value 1, year 4 consolidation packs.

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Year 4 Autumn Week 6 Rapid Arithmetic

This Year 4 Autumn Week 6 Rapid Arithmetic includes questions covering place value, addition and subtraction, fractions and much more!

Year 4 Read and Write Numbers up to 10,000 Varied Fluency

If you're on the lookout for place value resources with 4-digit numbers, then download this Year 4 Read and Write Numbers up to 10,000 Varied Fluency worksheet.

Year 4 Autumn Week 5 Rapid Arithmetic

This Year 4 Autumn Week 5 Rapid Arithmetic resource is ideal to be displayed on the interactive whiteboard to save on printing costs!

Year 4 Autumn Week 5 Maths in Minutes

This Year 4 Maths in Minutes resource features three sets of questions and covers fractions, number, statistics, geometry and measure.

Year 4 Autumn Week 4 Maths in Minutes

Year 4 Autumn Week 4 Rapid Arithmetic

This Year 4 Rapid Arithmetic resource includes three sets of questions differentiated into three levels of challenge.

Year 4 Autumn Week 3 Maths in Minutes

This Year 4 Autumn Week 3 Maths in Minutes resource is designed to keep your children's knowledge and skills sharp.

Year 4 Autumn Week 3 Rapid Arithmetic

Give children the opportunity to recap previously taught objectives with this Year 4 Rapid Arithmetic resource.

Year 5 Autumn Week 3 Maths in Minutes

This Year 5 Maths in Minutes resource includes a variety of questions focusing on different aspects such as fractions, statistics, time, position and direction and more!

Year 4 Autumn Week 2 Rapid Arithmetic

This Year 4 Rapid Arithmetic resource can be used to develop your children's speed and fluency.

Free Year 4 Autumn Week 1 Maths in Minutes

This Year 4 Maths in Minutes contains three worksheets that are intended to be used independently.

Free Year 4 Autumn Week 1 Rapid Arithmetic

This Rapid Arithmetic resource includes seven questions that increase with difficulty covering place value, addition and subtraction and much more!

Year 4 Draw 2D Shapes on a Grid Teaching PPT

Use our Y4 Draw 2D Shapes on a Grid Teaching PowerPoint for your whole-class teaching input. It includes knowledge check questions and will save you time!

Year 4 Polygons Teaching PPT

Develop children's understanding of regular and irregular polygons with this Y4 Polygons Teaching PPT. Download now!

Year 4 Convert from the 24-Hour Clock Teaching PPT

Help children learn an important life skill with our Year 4 Convert from the 24-Hour Clock Teaching PowerPoint.

Understand Angles as Turns Teaching PowerPoint

These lesson slides guide pupils through the prior learning of numbers recognising parallel and perpendicular lines, before moving on to the main skill of understanding angles as turns.

Convert to the 24-Hour Clock Teaching PowerPoint

Download this Year 4 Convert to the 24-Hour Clock Teaching PowerPoint that links closely with our worksheets and can be used for whole-class or small group teaching.

Convert between Analogue and Digital Times Teaching PPT

Support children to understand 12-hour time conversions with our Y3 Convert between Analogue and Digital Times Teaching PowerPoint as your input resource.

Calculate with Money Teaching PowerPoint

These lesson slides guide pupils through the prior learning of estimating money, before moving on to the main skill of calculating using the four operations with money.

Year 4 Convert Between Pounds and Pence Teaching PPT

Practise converting money with our Year 4 Convert Between Pounds and Pence Teaching PowerPoint.

Write Money using Decimals – Teaching PowerPoint

Take the stress out of preparing a teaching resource for decimal notation and use our ready-made Y4 Write Money using Decimals Teaching PowerPoint.

Flexibly Partition Decimals Teaching PowerPoint

These lesson slides guide pupils through the prior learning of partitioning decimals, before moving on to the main skill of flexibly partitioning decimals.

Partition Decimals Teaching PowerPoint

These lesson slides guide pupils through the prior learning of making a whole with hundredths, before moving on to the main skill of partitioning decimals with up to two decimal places. There are a number of questions to check pupils' understanding throughout.

Make the Whole with Hundredths Teaching PowerPoint

These lesson slides guide pupils through the prior learning of using tenth to make a whole before moving on to the main skill of making a whole with hundredths.

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