year 5 short division problem solving

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Division problems with short division - Problem-Solving Investigation - Year 5

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

8 October 2019

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This in-depth maths investigation is an open-ended problem solving activity for Year 4 children. It can be used to support teaching towards the objectives: Solve division problems with short division.

In-depth Investigation: Remainder Runners Children divide 1234, 2345, 3456 by 3, 4, 5 … 12 and look for patterns in the remainders.

This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas.

This problem-solving investigation is part of our Year 5 Multiplication and Division block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

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Year 5 Multiplication & Division - Problem-Solving Investigations

These in-depth maths investigations are open-ended problem solving activities for Year 5 children. **In-depth Investigation: Prime Differences** Children find out if prime numbers become less frequent as we consider sets of larger numbers. **In-depth Investigation: Excellent Eights** Children explore patterns when multiplying numbers with consecutive digits by 8. The PowerPoint can be used to guide your class through this investigation. **In-depth Investigation: LCM Squares** Children use trial and improvement to find the smallest possible total on a square of lowest common multiples. **In-depth Investigation: Division Remainder Patterns** Children look at patterns of remainders in 4-digit numbers when dividing by numbers 3 to 6. Can they establish a rule? **In-depth Investigation: What an Odd Thing!** Children create a triangle of odd numbers and identify patterns when rows are summed or their end numbers are averaged. **In-depth Investigation: Remainder Runners** Children divide 1234, 2345, 3456 by 3, 4, 5 … 12 and look for patterns in the remainders. **In-depth Investigation: Reverse Digits, Same Product** Children find the product of a pair of 2-digit numbers then reverse the digits of both numbers and find an identical product. These investigations will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. These problem-solving investigations come from our [Year 5 Maths Blocks](https://www.hamilton-trust.org.uk/maths/year-5-maths/). Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

Division problems with short division (Year 5 Multiplication and Division)

This bundle provides three days of teaching that cover the objective: **Solve division problems with short division** *Teaching Presentation* The teaching presentation includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. *Practice Worksheets* The procedural fluency practice worksheets are differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. *Problem-Solving Investigation* This in-depth maths investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. *Extra Support* The extra support activity is designed to be used by a teacher or a TA with children who need extra support. This teaching is part of Hamilton’s [Year 5 Multiplication and Division](https://www.hamilton-trust.org.uk/maths/year-5-maths/multiplication-and-division-3/) block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.

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Short Division

Help your class become short division experts with this ‘Short Division’ scheme of work for Year 5. Not only will children have plenty of opportunities to perfect the short division process, but they will also learn to apply it in a variety of problem-solving contexts.

#TheCompleteSeries5lessons

This scheme of work contains five complete lessons, each containing a detailed lesson plan, a set of slides, activity ideas and a range of printable resources. All these great resources will make short work of your Maths planning for the week!

#Lesson1UsingKnownFacts

The first lesson in this series will help your class hone their mental skills as they solve a variety of calculations mentally using known multiplication and division facts. including multiplying and dividing by powers of 10, and multiplying by 9, 11, 50 and 25. The slides recap some of the handy methods they can employ to calculate mentally. There are then some games for their independent learning that will encourage rapid recall of multiplication and division facts.

What's included:

• Lesson plan
• Activity ideas
• Calculation chains sheet
• Differentiated game boards
• Differentiated Top Trump cards

#Lesson2TheMethod

Starting with comparing the chunking and short division methods, this lesson goes on to recap how the short division method works. They will go through several calculations together on the slides, explaining each step of the process, before having a go independently. They can practise short division independently yet in a group activity, or solve some missing number problems.

• Calculation cards
• Points cards
• Differentiated missing number challenges

#Lesson3DivisionProblems

Now that your class have had a chance to practise the short division method, they can have a go at using it in the context of word problems. The slides go through a variety of word problems for the children to solve, some of which don’t include division to ensure that they are reading and understanding the questions. After some practice altogether, they can then either solve word problem crosswords or carry out a short division challenge.

• Differentiated worksheets
• Differentiated challenge checklists
• Divisibility rules cards

#Lesson4ScalingbySimpleFractions

After a quick division warm-up, your class will explore how to solve problems involving scaling by simple fractions. The slides challenge your class to work out the height of different characters through questions such as, ‘Max is 1855 mm tall. Emma is a fifth shorter than Max. How tall is Emma?’ The questions become increasingly challenging and there is also the chance to find out some celebrity heights too!

• Differentiated challenge cards
• Celebrity height cards
• Character cards

#Lesson5MultiStepProblems

This challenging lesson asks your class to solve a variety of multi-step word problems drawing on their knowledge of short division and other methods. The questions involve all four operations and children are challenged to think carefully about each step of the problem-solving process as they go through each question. There is also the opportunity for children to create some word problems of their own based on a given multi-step calculation.

• Differentiated calculation cards
• Differentiated picture puzzle cards
• Picture puzzle images
• Picture puzzle answer boards

Free Overview (Medium-Term Plan)

Download a free overview to support your teaching of this scheme of work.

Free Assessment Grid

Download a free, editable assessment grid to support your teaching of this scheme of work.

Curriculum Objectives covered

• Year 5 - multiply and divide numbers mentally drawing upon known facts
• Year 5 - divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
• Year 5 - solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
• Year 5 - solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates

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Children will learn how to solve divisions by the written method of short division with this PowerPoint. It uses examples to teach how to solve the calculations, as well as provides practice questions for children to have a go at. There are also worked examples for short division with remainders and word problems for them to solve on the final two slides.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Multiplication & Division
• Topic Group: Calculations
• Year(s): Year 5
• Media Type: PowerPoint
• Resource Type: PowerPoint
• Last Updated: 28/09/2022
• Resource Code: M2PAC1655
• Curriculum Point(s): Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context.

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Short Division – Reasoning and Problem Solving

Short Division - Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of Short Division.

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What's included in the pack?

The Short Division Reasoning and Problem Solving worksheet Answer sheet

National Curriculum Objectives: (5C7b)  Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context

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Year 5 | Solving Division Word Problems Worksheets

In these Year 5 solving division word problems worksheets , a variety of word problems are presented, challenging learners to apply their knowledge and skills in short division to find the solutions. Each problem comes with a designated space for pupils to showcase their step-by-step working.

This worksheet serves as an ideal practice tool for children to hone their proficiency in the short division written method while gaining a deeper understanding of how division can be effectively employed to solve real-life word problems.

Our Year 5 multiplication and division worksheets are aligned with the KS2 national curriculum and can be combined with your ideas for primary learning activities, differentiation, homework and lesson plans.

You might be interested in our Year 5 multiples worksheets .

Explore all of our Year 5 maths worksheets .

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