fractions of amounts homework year 4

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Year 4 Fractions worksheets

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Find equivalent fractions

Shading parts of a whole

Chart of equivalent fractions

Year 4 function machine activity

Fraction and decimal equivalents

Decimal and fraction equivalence racing game

Comparing decimals and fractions

Adding and subtracting fractions practice

Blank hundred chart or hundred square

Finding fractions of quantities

Pairs of fractions that total one

Fractions of quantities

Fractions and money

Cool maths games for kids

Fractions of amounts: number problems

Fractions made simple

Equivalent fractions practice

Equivalent fractions explained

Fractions: sharing numbers

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Year 4 – Fractions

Welcome to Year 4 Fractions, Decimals and Percentages at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support fractions, decimals and percentages lessons in Year 4 and at home.

If there’s a resource you’d like to see here, just visit our ‘Request a Resource’ page and Primary Maths Hub will create the resource and add it to the site.

Do Now Tasks / Starters

Fraction of Numbers Do Now Tasks

Fraction Addition Do Now Tasks

Fraction Subtraction Do Now Tasks

Fraction Addition and  Subtraction Do Now Tasks

Differentiated questions sets.

Fraction of a Number Question Set

Adding Fractions Question Set

Adding Mixed Numbers Question Set

Decimal Subtraction Question Set

Decimal Addition  Question Set 

Fractions of a number.

Strips – Fractions of a Number

Find Fractions of a Number

Fading Scaffolding Strips- Fraction of a Number

Finding and shading fractions.

Shade Fraction of a Shape

Adding fractions.

Strips – Add Fractions with the same Denominator

Fading Scaffolding Strips- Add Fractions With The Same Denominator

Fading Scaffolding Strips- Add 3 Fractions With The Same Denominator

Add Fractions Same Denominator

Subtracting fractions.

Strips – Subtract Fractions with the same Denominator

Strips- Subtract Tenths

Adding and subtracting fractions.

Strips – Add and Subtract Fractions with the Same Denominator

Adding and Subtracting Fractions Greater Than 1 Part-Whole Model

Comparing fractions, adding mixed numbers.

Add Mixed Numbers Same Denominator

Mixed Number and Improper Fraction Matching Cards

Mixed numbers.

Understand Improper Fractions Equal to Whole Numbers

Convert Mixed Numbers to Improper Fractions

Partition Mixed Numbers

Fraction reasoning.

Add Two Fractions Reasoning

Add Two or More Fractions Reasoning

Compare and Order Mixed Number Reasoning

Partition a Mixed Number Reasoning

Understanding Improper Fractions Reasoning

Tenths on a Number Line Reasoning

Tenths on a Place Value Grid Reasoning

Fraction of a Number Reasoning

Making a Whole with Hundredths Reasoning

Making a Whole with Tenths Reasoning 

Fraction challenges and word problems.

Add Fractions Challenge- Greater Than 1

Add Fractions Challenge

Decimal Place Value

Decimal Place Value – Faded Scaffolding

Adding decimals.

Strips- Add Tenths

Adding Decimals with the same DP 

Subtracting decimals.

Subtracting Decimals with the same DP 

Add and subtract decimals.

Strips- Add and Subtract Tenths

Rounding decimals.

Rounding Numbers with 1 dp to Nearest Whole

Rounding Numbers with 1 dp to Nearest Whole- Faded Scaffolding

Dividing decimals.

Fading Scaffolding Strips- Divide 1- or 2- Digit Numbers by 10

Fading Scaffolding Strips- Divide 1- or 2- Digit Numbers by 10 or 100

Fading Scaffolding Strips- Divide 1- or 2- Digit Numbers by 100

Decimal reasoning.

Decimals as Tenths Reasoning

Divide a 1-Digit Number by 10 Reasoning

Divide a 1-Digit Number by 100 Reasoning

Divide a 2-Digit Number by 10 Reasoning

Divide a 2-Digit Number by 100 Reasoning

Flexibly Partition Decimal Numbers Reasoning 

Round Decimal Numbers to Nearest Whole Number Reasoning

Partition Decimal Numbers Reasoning 

Compare Decimal Numbers Reasoning 

Equality and inequality statements.

Equality and Inequality Statement Matching- Decimals

Equality and Inequality Statement Matching- Improper Fractions Equal to Whole

Tenths as Decimals- Equality and Inequality Statement Matching

Percentages, fractions, decimals and percentages.

Tenths as Decimals

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Count up and down in hundredths

They will also be expected to count up and down in hundredths mentally.

Solve problems involving quantities and non-unit fractions

Your child will calculate quantities involving fractions. For instance, they might be asked to find a fraction of a set of objects. They should be able to do this even when the answer is not a whole number. For example:

 of 22 = 3 

They will solve problems involving fractions to divide quantities, including non-unit fractions . For example:

  of 12 First they will find the value of     = 4. Then they will multiply this value by 2 to find     = 8.

Add and subtract fractions with the same denominator

Your child will use drawings, diagrams, and symbols to add and subtract fractions with the same denominator (the bottom number of a fraction). For example:

Use decimal equivalents of tenths or hundredths

In Year 4, your child will learn that decimals and fractions are different ways of expressing numbers and proportions.

Use decimal equivalents of ¼, ½, ¾, and tenths and hundredths

Your child will learn to use decimal equivalents of any number of tenths or hundredths. For example:

  is equivalent to 0.1.     is equivalent to 0.3.     is equivalent to 0.01.     is equivalent to 0.05.     is equivalent to 0.25.     is equivalent to 0.5.     is equivalent to 0.75.

Divide one- or two-digit numbers by 10 and 100

Your child will be able to divide numbers by 10 and 100.

They will know what happens when they divide a 1- or 2-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths, and hundredths. For example:

3 ÷ 10 = 0·3 =   5 ÷ 100 = 0·05 =  

Round numbers with 1 decimal place

Your child will round numbers with decimals up and down to the nearest whole number. For example:

1.6 will round up to 2. 18.3 will round down to 18.

Compare numbers with up to 2 decimal places

Your child will learn to compare decimal numbers with up to two decimal places and say which one is bigger or smaller. At this stage, they will mainly be comparing numbers with the same number of decimal places. For example:

3.45 is smaller than 3.54. 8.8 is bigger than 8.5.

Solve simple measure and money problems

Your child will solve real-world problems involving fractions and decimals to 2 decimal places.

They will also represent numbers with one or two decimal places in several ways, such as on number lines .

How to help at home

There are lots of ways you can help your child to understand fractions. Here are just a few ideas.

1. Explore equivalent fractions

Equivalent fractions are different fractions that have the same value.

Fraction wall

When they have done this, ask them if they notice any patterns in the sequence of fractions. Help your child notice that you can change one fraction into an equivalent fraction by multiplying (or dividing) the numerator and the denominator by the same number.

2. Simplify fractions

Your child will learn to simplify fractions. Simplifying a fraction means reducing the fraction into its simplest form.

To simplify fractions, your child will find the highest common factor of the numerator and the denominator and then divide both numbers by it. The ‘highest common factor’ is the biggest number that can be divided equally into both the numerator and the denominator. For example:

Simplify  .   We know that 5 is the highest common factor of 5 and 25 (i.e. it is the biggest number that both 5 and 25 can be divided by to arrive at whole numbers).   We can therefore divide the numerator and the denominator by 5 to get the answer:  .

If the numerator and the denominator do not have a common factor, then they are fully simplified. See page three of our Fraction Calculations in School booklet for more information.

Fraction Calculations in School

3. Think about fractions while shopping

Shopping together can provide a useful opportunity to think about fractions as decimals.

Encourage your child to compare price tags. This is great practice for comparing numbers with two decimal places. For example, one item may cost £1.67 and another may cost £1.76. Ask your child to say which one is bigger and to explain how they know. They could even use the greater than > or less than < symbols to compare numbers up to two decimal places (for example, 5.67 < 5.71).

Try using place value charts to help your child compare numbers with two decimal places. Place value charts are a way of showing how big numbers are visually. For example:

By showing the numbers with a place value chart, your child can understand the value of the number more easily. For example, place value charts could help with this comparison:

4.20 has four ones, two tenths and zero hundredths. 4.76 has four ones, seven tenths and six hundredths. Therefore, 4.76 is greater than 4.20.

4. Round decimals

Your child will need to be able to round decimals with one decimal place to the nearest whole number.

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Fractions of Amounts

Related worksheets.

Click on the squares to shade the given fraction of the shape. The shape will then transform to show the equivalent fraction.

For more resources involving fractions and decimals click here.

Game Objectives

New Maths Curriculum:

Year 3: Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators

Year 4: Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number

Primary Framework:

Year 4: Recognise the equivalence between decimal and fraction forms of one half, quarters, tenths and hundredths (Block E)

Year 5: Express a smaller whole number as a fraction of a larger one (e.g. recognise that 5 out of 8 is 5/8); find equivalent fractions (e.g. 7/10 = 14/20, or 19/10 = 19/10); relate fractions to their decimal representations

Year 6: Express one quantity as a percentage of another find equivalent percentages, decimals and fractions (Block E)

fractions of an amount year 4

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Subtract from Whole Amounts Homework Extension Year 4 Fractions

Step 8: Subtract from Whole Amounts Homework Extension Year 4 Spring Block 3

Subtract from Whole Amounts Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 4 Subtract from Whole Amounts Resource Pack . These are differentiated for Developing, Expected and Greater Depth.

More resources for Spring Block 3 Step 8.

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What's included in the pack?

This pack includes:

• Subtract from Whole Amounts Homework Extension with answers for Year 4 Spring Block 3

National Curriculum Objectives

Mathematics Year 4: (4F4)  Add and subtract fractions with the same denominator

Differentiation:

Questions 1, 4 and 7 (Varied Fluency) Developing Match the calculations to the correct representations and then solve the calculations. Whole amounts are expressed as improper fractions. Expected Match the calculations to the correct answers where whole amounts are sometimes expressed as improper fractions. Greater Depth Match the calculations to the correct answers where some denominators are double or half the starting fraction.

Questions 2, 5 and 8 (Varied Fluency) Developing Identify the calculations which have the same answer where whole numbers are represented as improper fractions. Pictorial support provided. Expected Identify the calculations which have the same answer where whole amounts are sometimes expressed as improper fractions. Greater Depth Solve the calculations and create a third subtraction calculation that gives the same answer. Uses some denominators which are double or half the starting fraction.

Questions 3, 6 and 9 ( Reasoning and Problem Solving ) Developing Create possible subtraction calculations based on the image provided where a whole amount is expressed as an improper fraction. Expected Create possible subtraction calculations based on the image provided where a fraction is subtracted from a whole amount. Greater Depth Create possible subtraction calculations based on the given parameters.

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Revise fractions; find unit and non-unit fractions of amounts - Teaching Presentation - Year 4

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

15 April 2024

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This presentation provides three days of teaching that cover the objectives:

• Count in 1⁄4s, 1⁄3s, 1⁄8s and 1⁄10s saying equivalent fractions.
• Find unit and non-unit fractions of amounts.

It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards.

Day 1 Count in thirds along a 0-5 line marked in thirds. Point at a mark; children write the number. Repeat with a line showing 1/4s. Stress mixed numbers, e.g.one and three quarters; equivalence, e.g. one and a half is the same as one and two quarters. Repeat for tenths.

Day 2 – Use a picture of a chocolate bar with 30 pieces to show how to find 1/5, 3/5, and 4/5 of 30, then 1/6 of 30 and 5/6 of 30. Repeat with 50 pieces to find 1/10 and subsequent non-unit fractions, e.g. 3/10.

Day 3 Sketch a pizza and divide it into eight equal sections. If 16 bits of salami are distributed equally, how much on each slice? Show that 1/8 of 16 is 2 (16 ÷ 8); then derive other facts: 2/8 of 16 = 4, 3/8 of 16 = 6, etc. Show that 4/8 is 1/2. Demonstrate using a bar model and repeat with 24 pieces of tomato.

This teaching is part of Hamilton’s Year 4 Decimals and Fractions 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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