doubling and halving problem solving year 3

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Doubling and Halving Word Problem Booklet

Doubling and Halving Word Problem Booklet

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

I am a qualified teacher with 8 years' experience. I enjoy creating teaching resources and hopefully you will find them both useful and time-saving.

16 October 2018

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Doubling and halving

These activities are designed to teach doubling and halving strategies.

Multiplication and division, AM (Stage 7)

Prior knowledge

This activty involves using proportional adjustment to solve multiplication problems. Doubling and halving, and trebling and thirding can be used to make multiplication problems easier to solve. For example, 3 x 16 is the same as 6 x 8. The activity asks students to solve problems, fill in missing numbers in equations using proportional adjustment and solve word problems.

Algebraic notation The essential notation of 2 x (and 2) for doubling and /2 or ÷ 2 or ½ as notation for halving. This is then repeated with letters. This not only bridges the gap between “fill in the box” type problems and the x as an unknown number but also introduces students to such notational forms before they are expected to use them. This is essential introductory algebra to build understanding of the language of mathematics. Good discussion is warranted as a follow-up.

Students are also introduced to the concept of proof. It is likely that when students are asked to “explain why doubling and halving always gives the same answer as the original problem” many are likely to write a story. However, the concept of proof and the power of algebra can be followed up in discussions. A teacher led explanation of “what is going on when we play with the symbols using the rules of mathematics we know” should help decode the answer sheet for the problem. An explanation along the lines of “as we don’t know what numbers we actually started with – and just ended up with the same numbers, what we have shown must work for every pair of numbers we can think of…regardless of whether or not the process is actually useful!” should help explain what manipulating the symbols has shown (or proved).

Doubling and halving to find factors Doubling and halving (tripling and thirding etc) is a very useful strategy for finding a full set of factors. However, it does require some idea of prime numbers and how these operate. Start with 1 x n, and double and halve from there. For example 1 x 60 2 x 30 4 x 15 ← look for what goes into 15 20 x 3 ← 3 is a prime so this thread stops, work on the 20 10 x 6 5 x 12 ← other side is now a prime – so stop

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Doubling and Halving – Reasoning and Problem Solving

Doubling and Halving - Reasoning and Problem Solving

Doubling and Halving - Reasoning and Problem Solving

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

doubling and halving problem solving year 3

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Doubling and Halving reasoning and problem solving worksheet Answer sheet

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Doubling and Halving

This Doubling and Halving Year 3 Maths scheme of work will help your class develop the essential skill of being able to double and halve numbers quickly and easily. Through a variety of engaging teaching sequences and fun activities, your KS2 children will refine their doubling and halving skills as they learn how to double 1- and 2-digit numbers and explore the relationship between doubling and halving.

#TheCompleteSeries5lessons

With lesson plans, slides, activity ideas, differentiated worksheets and more, these Doubling and Halving Year 3 lessons will soon have your class doubling and halving numbers with ease and able to apply their new-found skills in real-life problems.

If this lesson isn't quite what you are looking for, make sure you browse our collection of ready-to-teach Year 3 Maths lesson packs . If you are new to PlanBee Maths lessons then download our Maths sample pack and our free maths mini-schemes so you can view the lessons at your leisure.

#Lesson1DoublingNumbers

This Doubling Numbers lesson teaches your Year 3 class some helpful methods for doubling two-digit numbers. Using partitioning, your class will soon be doubling numbers up to one hundred.

The slideshow presentation for the whole-class input goes through plenty of examples for the class to try together. Your children can then apply what they have learnt during their independent activities by doubling sets of differentiated numbers. There is also the opportunity to play doubling bingo!

This Doubling Numbers lesson plan pack contains everything you need to deliver this useful lesson, including an easy-to-follow lesson plan, a slideshow, differentiated activity ideas and a range of printable teaching resources.

What's included:

#Lesson2DoubleTrouble

This Double Trouble planning pack builds on the learning they did during the previous lesson about doubling two-digit numbers. During the teaching input, your Year 3 children will be challenged to double a variety of single-digit numbers as many times as they can before they get stuck!

During their independent learning time, there are then further opportunities for them to practise their doubling skills by matching sets of domino cards. There are also some challenging doubling investigations for them to wrap their heads around.

This doubling lesson plan pack provides a lesson plan, a slideshow for the teaching input, differentiated activity ideas and a range of printable teaching resources – everything you need to successfully deliver a great doubling lesson!

Challenge cards

#Lesson3HalvingOddandEvenNumbers

Now that your Year 3 class are a little more confident with doubling, they can start exploring the relationship between doubling and halving.

After warming up their brains with some doubling practice, they will then start to halve even two-digit numbers, moving on to explore halving odd numbers. The independent activities contain a differentiated game for children to play to match a double with its half, or they can play some doubling and halving darts!

This Halving Odd and Even Numbers lesson comes fully prepared and ready for you to deliver to your class. There's a detailed lesson plan, a slideshow presentation for the teaching input, differentiated activity ideas and some handy printable teaching resources.

Number cards

#Lesson4DoublingandHalvingProblems

This Doubling and Halving Problems lesson for Year 3 is packed full of fun activities to consolidate their understanding and recall of doubling and halving numbers.

The slides for the teaching input gives the exciting challenge of choosing whether to double or halve a given number to reach a target number, whilst there are board games and number grids to challenge them with during their independent learning, all of which will help their fluency with doubling and halving.

This Doubling and Halving Problems planning pack comes fully prepared with all the downloadable resources you need to deliver this lesson, including a lesson plan, slideshow presentation and a range of printable teaching resources.

#Lesson5FunctionMachines

This Function Machines Year 3 Maths lesson pack rounds off this week of doubling and halving work by introducing your KS2 class to Rob the Function Machine Robot!

Your Year 3 children will be challenged to to work out various input and output numbers when Rob’s function is set to ‘double’ or ‘halve’. There is even the opportunity to make their very own function machines!

This Function Machines Year 3 lesson pack comes fully prepared with all the downloadable resources you need to deliver this lesson, including an in-depth lesson plan, a slideshow for the teaching input, differentiated activity ideas and a range of handy printable teaching resources.

Free Overview (Medium-Term Plan)

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IMAGES

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Doubling and Halving Word Problems Challenge Cards. 3.
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An activity to match Y4 Maths, Block B, Unit 3. ... sequences (i.e. halving or doubling) and then to complete the sequence. ... a year ago.
Doubling and Halving Word Problem Booklet
anloftus. 3 years ago. report. 5. Great worksheets. Thank you so much for sharing.
Doubling and halving
Doubling and halving, and trebling and thirding can be used to make multiplication problems easier to solve. For example, 3 x 16 is the same as 6 x 8. The
Doubling and halving worksheets and online exercises
Grade/level: Grade 2, Grade 3, Grade 4 by Dorota_S.
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Partitioning to Double (3 levels) (Naomi Hass) DOC; Doubling to 20 (Deb
Doubles and Halves Word Problems
Mar 14, 2016 - A set of 12 cards for children to choose from, each with a different word problem containing doubling and halving problems.
Doubling and Halving
What's included in the pack? Doubling and Halving reasoning and problem solving worksheet. Answer sheet. National Curriculum Objectives: Mathematics Year 2: (
Doubling and Halving Year 3 Maths Lesson Plan Packs
with ease and able to apply their new-found skills in real-life problems.
Doubling And Halving Teaching Resources
Doubling & Halving is a mental math and fluency multiplication strategy used to solve problems in an efficient manner.