number bonds to 100 reasoning and problem solving

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Number Bonds Worksheets to 50 and 100

Welcome to our Number Bonds Worksheets page. Here you will find a wide range of free printable Math Fact Worksheets, which will help your child learn their number bonds to 50 and 100.

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• What is a Number Bonds to 100?
• Number Bonds to 10
• Number Bonds to 20
• Number Bonds to 50 Worksheets

Number Bonds to 100 Worksheets

• More related resources

Number Bonds to 50 and 100 Online Quiz

Here you will find a range of free printable math worksheets to help your child learn their number bonds to 50 or 100.

These sheets are carefully graded so that the easier sheets come first and give extra support.

Using these sheets will help your child to:

• learn and practice their bonds to 50 or 100.

What is a number bond to 100?

We can look at number bonds to 100 as pairs of numbers with a total of 100.

However, knowing your number bonds to 100 is more than just being able to quickly recite pairs that have a total of 100.

We would also expect children to know all the facts related to the pair of numbers that have a total of 100.

In other words:

• If we know that 63 + 37 = 100, we should also know
• 37 + 63 = 100
• 100 - 63 = 37
• 100 - 37 = 63
• And if we switch the equation on either side of the equals sign, we could add to this...
• 100 = 63 + 37
• 100 = 37 + 63
• 37 = 100 - 63
• 63 = 100 - 37

So there would be a total of 8 facts for every number bond fact that we would want children to be able to find!

The sheets below will help you child to learn their number bonds to 100 and accompanying facts!

Number Bonds to 50

• Number Bonds to 50 Sheet 1
• PDF version
• Number Bonds to 50 Sheet 2

Number Bonds to 100 with Blocks

These sheets use place value blocks partially filled to help find out the missing number bond to 100.

• Number Bonds to 100 with Blocks Sheet 1
• Number Bonds to 100 with Blocks Sheet 2

Number Bonds Worksheets to 100 - Bar Model missing facts

These number bonds worksheets involve working out the 4 related facts for each bar model.

• Number Bonds to 100 Sheet 1
• Number Bonds to 100 Sheet 2

Numbers Bonds to 100 - Related Facts

• Number Bonds to 100 Sheet 3
• Number Bonds to 100 Sheet 4

Numbers Bonds Worksheets to 100 - Quick Practice

• Number Bonds to 100 Sheet 5
• Number Bonds to 100 Sheet 6

Numbers Bonds Worksheets to 100 - Mastery

• Number Bonds to 100 Sheet 7

Number Bonds to 100 Walkthrough Video

This short video walkthrough shows several problems from our Number Bonds to 100 Worksheet 5 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Online Number Bonds Practice

In our Number Bonds Practice area, you can practice your number bonds to a variety of numbers. Test your numbers bonds to 10, 20 , 100 or even 1000. Want to try decimals - you can do that too!

Select the numbers you want to practice with, and print out your results when you have finished.

You can also use the practice zone for benchmarking your performance, or using it with a group of children to gauge progress.

• Number Bonds Practice Zone
• Number Bonds Printable Worksheets Generator

Our new number bonds worksheet generator will allow you to create your own printable number bonds worksheets.

You can choose from a range of values from whole numbers to decimals.

You can also choose to use addition questions, subtraction questions or both.

Graded Number Bond Sheets

If you are looking for more easier sheets, then have a go at the sheets in this section.

The sheets on this webpage focus on number bonds to 10 and 12.

• Decimal Number Bonds to 1

Third Grade Place Value Worksheets

Here you will find a range of Free Printable 3rd Grade Place Value Worksheets.

The following worksheets involve different Third Grade place value activities such as counting in thousands, hundreds, tens and ones, reading, writing and ordering numbers to 10,000, and know what number each digit represents.

• learn their place value with 4 digit numbers;
• use place value models to understand how to combine thousands, hundreds, tens and ones;
• understand the value of each digit in a 4 digit number;
• Place Value Models 4 Digits
• Place Value 4 Digit Numbers Worksheets (conversion)
• Ordering 4-Digit Numbers
• 3rd Grade Math Puzzles

Here you will find a range of printable 3rd grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction and multiplication facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition facts to 100;
• practice adding multiples of 10;
• practice their subtraction facts to 100;
• practice multiplication and division facts;
• develop problem solving skills and reasoning.

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This quick quiz tests your knowledge and skill with Number Bonds to 50 and 100.

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Addition and Subtraction : Number Bonds to 100 and Word Problems FREE Worksheets

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

2 July 2020

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This resource contains two worksheets on number bonds to 100 and word problems involving addition and subtraction up to and within 100 taken from a workbook designed to support the delivery of the Year 2 Number: Addition and Subtraction Block 2 - Autumn Term White Rose (WRM) ‘small steps’ programme. Click on the link for more details.

Year 2 Number: Addition and Subtraction Block 2 - Autumn Term Workbook 2

This is a 20 page workbook (with answers and progress check) of mastery maths resources to support the delivery of the Year 2 Number: Addition and Subtraction Block 2 - Autumn Term White Rose (WRM) ‘small steps’ programme. These resources are for Week 2.

The workbook contains 20 worksheets / activities (concrete, pictorial and abstract) linked to the White Rose small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme and includes reasoning and problem-solving tasks. The workbooks are available in both PDF and word format to enable editing and personalisation of the workbook.

The resources focus on the following objectives and small steps:

Year 2 Maths’ National Curriculum Objectives

Recall and use addition and subtraction facts to 20 fluently Derive and use related facts up to 100 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a two-digit number and ones; a two-digit number and tens; two two-digit numbers; adding three one-digit numbers Show that the addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot. Solve problems with addition and subtraction: using concrete objects and pictorial representations, including those involving numbers, quantities and measures; applying their increasing knowledge of mental and written methods. Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

White Rose Small Steps

Bonds to 100 (tens) Add and subtract 1s 10 more and 10 less Add and subtract 10s

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Number Bonds to 100

• Number Bonds to 100 are pairs of numbers that add together to make 100.
• To find the number bond that pairs with 28 to make 100, we think of the number that we add to 28 to make 100.
• We can add 2 to 28 to make the next multiple of 10, which is 30.
• Now from 30, we just add 70 to make 100.
• In total we have added 70 + 2.
• 28 and 72 are number bond pairs that add to make 100.

• In this number bond example, we are asked which number pairs with 64 to make 100.
• First we add 6 to get to the next multiple of ten, which is 70.
• From 70, we need to add 30 more to make 100.
• Our number bond that pairs with 64 to make one hundred is 36.

• Number Bonds to 10
• Number Bonds to Twenty

Introducing Number Bonds to 100 with Multiples of 10

Number Bonds to 100 Interactive Questions

Number bonds to 100 worksheets and answers.

Number Bonds to 100 Part-Part-Whole Model Worksheets

What are Number Bonds to 100?

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Number Bonds

Number bonds show how numbers are split or combined. An essential strategy of Singapore maths, number bonds reflect the ‘part-part-whole’ relationship of numbers.

What is a number bond?

Number bonds let students split numbers in useful ways. They show how numbers join together, and how they break down into component parts. When used in Year 1, number bonds forge the number sense needed for early primary students to move to addition and subtraction. As students progress, number bonds become an essential mental problem-solving strategy.

Why are number bonds part of Singapore mathematics?

Number bonds are an essential component when teaching the Singapore method of maths for mastery . They foster number sense in students, and are an important concept within the Singapore primary curriculum. However so-called ‘Singapore Number Bonds’ are not a specifically Singaporean method — the term has been around since the 1920s.

How do number bonds work?

Number bonds are represented by circles connected by lines. The ‘whole’ is written in the first circle, while the ‘parts’ are in the adjoining circles.

How to teach number bonds

Children are usually introduced to number bonds through the Concrete, Pictorial, Abstract (CPA) approach . Here’s just one way to introduce and teach number bonds.

Concrete step

Children start out by counting familiar real-world objects that they can interact with. They then use counters to represent the real-world objects. From here, they progress to grouping counters into two groups.

By putting five counters into two groups, children learn the different ways that five can be made. For example, 3 and 2 as illustrated below. With further exploration, children work out other ways to break numbers into two groups.

Pictorial step

Now that they understand the concept with hands-on objects and experience, children progress to writing number bonds in workbooks or on whiteboards. Early number bond explorations might simply reflect the two groups of counters that they created during the concrete step, along with other combinations.

Abstract step

With the concrete and pictorial steps done and dusted, children progress to representing abstract problems using mathematical notation (for example, 3 + 2 = 5).

Taking the concept a step further

Number bonds also develop problem-solving strategies such as ‘making ten’ with ten frames, multilink or unifix cubes.

By mastering number bonds early on, pupils build the foundations needed for subsequent learning and are better equipped to develop mental strategies and mathematical fluency. By building a strong number sense, pupils can decide what action to take when trying to solve problems in their head.

This example shows how a pupil would develop their number sense, or mathematical fluency, by using number bonds to perform a mental calculation.

Find out how number bonds, proven mastery strategies, and world-class training can make maths better for everyone in your school.

Unlocking the power of problem-solving.

For the community, by the community 28 November at The Royal Society, London.

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Problem Solving With Number Bonds, Worksheets, 2OA.1

Description

Enhance your students' mathematical reasoning and problem solving skills with this Problem Solving With Number Bonds set. These thoughtfully designed worksheets provide a structured approach to understanding number bonds, helping your students grasp the relationship between numbers and develop their ability to solve addition and subtraction problems effectively.

Each worksheet focuses on number bonds, which are pairs of numbers that combine to make a specific total. This foundational concept helps students visualize and understand the relationship between numbers, making it easier to tackle more complex math problems. These worksheets offer a diverse range of problem solving scenarios that require students to add or subtract.

Items included in this bundle:

• 4 worksheets total
• 2 sets of worksheets with large number bond work space
• 2 sets of worksheets with small number bond work space
• answer keys

Ways to Use This Resource:

• independent review practice
• small group
• center work
• whole group with guidance

Common Core Standards: 2.OA.1 Use addition and subtraction within 100 to solve one- and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Be the first to know about discounts, freebies and new resources!

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Word Problems — Number Bonds to 100 (Year 3)

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This worksheet gives children lots of practice solving various word problems on the topic of number bonds to 100.

Answers are provided.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Addition & Subtraction
• Topic Group: Calculations
• Year(s): Year 3
• Media Type: PDF
• Resource Type: Activities & Games
• Last Updated: 24/10/2023
• Resource Code: M2WAE105
• Curriculum Point(s): Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

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Bonds to 100 (tens and ones): Reasoning and Problem Solving

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Bonds to 100 - Tens and Ones Lesson

This Year 2 Bonds to 100 - Tens and Ones lesson covers the prior learning of bonds to 10 and related facts, before moving onto the main skill of finding number bonds to 100.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objectives Mathematics Year 2: (2C1) Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100 Mathematics Year 2: (2C2a) Add and subtract numbers mentally, including: a two-digit number and ones, a two-digit number and tens, two two-digit numbers, adding three one-digit numbers Mathematics Year 2: (2C3)  Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and missing number problems

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Lesson Slides

These lesson slides guide pupils through the prior learning of bonds to 10 and related facts, before moving onto the main skill of bonds to 100 - tens and ones. There are a number of questions to check pupils' understanding throughout.

Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

In this Bonds to 100 Video Tutorial, Katie shows pupils how to use bonds to 10 to solve addition and subtraction calculations totalling 100.

1 Prior Learning

Katie shows pupils how to use practical materials to create a mini abacus to work out their number bonds in this Number Bonds to 10 Video Tutorial.

Interactive Activity

This Year 1 Number Bonds to 10 Game is designed to check pupils' understanding of finding all number bonds to 10.

2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

Interactive Animation Activity

This Year 2 Bonds to 100 Interactive Animation aims to support pupils' knowledge of number bonds. Children will help Zip and Bop to pack their spare parts by completing calculations using number bonds to 100.

2 Reasoning & Problem Solving

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Mixed Activity

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of bonds to 100 - tens and ones.

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Interactive Challenge Activity

This Year 2 Bonds to 100 - Tens and Ones Maths Challenge is designed to check pupils' ability to create number bonds to 100 with tens and ones.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Home Learning Pack

This Autumn week 9 Maths pack contains varied fluency, reasoning and problem solving worksheets.

Consolidation Pack

This resource is aimed at Year 2 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 2 – Addition and Subtraction.

Learning Video Clip

Cleo and Corey  return to the prehistoric era and have lots of fun counting stones and bones to practice their number bonds to 100. They even count the spots on a family of dinosaurs!

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Home / Number frame number bonds (within 20) | Mastery Cards

Number frame number bonds (within 20) | Mastery Cards

Problem solving and reasoning cards allowing children to solve complex problems in various contexts for number frame number bonds.

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