Year 6 Fractions Maths Drills
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Add and subtract fractions with related and unrelated denominators with this set of three differentiated worksheets.
Each worksheet consists of three rounds of ten questions, perfect for a lesson warm-up each lesson. Students will practise adding and subtracting fractions. The worksheets are differentiated as follows:
- Version 1: includes questions with fractions that have related denominators.
- Version 2: includes fractions with related and unrelated denominators.
- Version 3: includes fractions with unrelated denominators.
Complete a round each day for three days. Have students time themselves and mark their work using the included answer pages. (Note: answers are not simplified versions of the fractions)
Choose to print one page per student or display the worksheet on an interactive screen for all students to see and note down the questions in their maths grid books.
Additional information
Number of Pages | 3 |
---|---|
File Format | |
Australian Curriculum Code | AC9M5N05, AC9M6N05, AC9M6N07 |
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Year 6 Fractions Worksheets
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
22 February 2018
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Expected level of development
Australian Curriculum Mathematics V9 : AC9M6N05, AC9M6N03
Numeracy Progression : Interpreting fractions: P7
At this level, students develop increasingly efficient strategies for adding and subtracting fractions with related and unrelated denominators. They develop conceptual understanding by being given opportunities to estimate before computation and justify their thinking. They develop flexible strategies for solving problems using concrete, visual and pictorial representations.
Use questions like ‘approximately how much of the shape needs to be covered?’ and ‘approximately how far along the number line should this fraction go?’ to help students make sense of fractional quantities. Continue to promote number lines and benchmarks such as 1 4 , 1 2 and 3 4 to help students represent fractions and make comparisons between quantities.
Number lines can also be used to model addition and subtraction strategies, that is, using jump strategies as repeated addition. Where possible, link learning to realistic problems, for example, using part cups or spoons in a recipe or using the understanding of equivalent fractions.
Use physical materials such as pattern blocks, tangrams and Cuisenaire rods, or dynamic software such as interactive fraction walls, to facilitate learning of equivalent fractions and how they can be used to represent, add and subtract proper and improper fractions.
Extend intuitive ideas about halving numbers to extended fact families. For example, halving a piece of paper and halving again can be described as quartering. Repeated subtraction will illuminate eighths and sixteenths – other fractions in this fact family. Have students explore fact families that extend from thirding or fifthing.
Explicitly teach students how to add and subtract fractions with unrelated denominators by simplifying to the lowest common denominator. Link learning to their understanding of prime and composite numbers. To build conceptual understanding, encourage students to estimate a reasonable answer before calculating and use this to check and make sense of their solution.
Teaching and learning summary:
- Use understanding of fraction equivalence to solve problems involving addition and subtraction.
- Use a number line as a tool to represent, order, compare, add and subtract common fractions and recognise equivalence.
- demonstrate their understanding of fraction equivalence
- estimate reasonable answers and are able to justify their reasoning
- use diagrams and materials to build flexible strategies for adding and subtracting fractions.
Some students may:
- use whole-number thinking and believe that the fraction 1 5 is smaller than 1 10 because it has a smaller denominator. They may also see the numerator and the denominator as two separate whole numbers.
- see 3 4 and 5 6 as equivalent as they are both one number away from being a whole number. Model residual thinking where students compare the size of the fraction that is needed to get to 1( 1 4 and 1 6 ) to help them determine that there is a size difference between the two fractions.
The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.
Learning intention
- We are learning to add fractions with related and unrelated denominators.
Why are we learning about this?
- Understanding how fraction families work strengthens our understanding of fractions with related denominators and equivalence.
- Area models such as paper cut-outs are a powerful tool in helping us better understand fractional parts.
- Paper cut-outs can help us understand that while equivalent fractions must be the same size, they do not necessarily have to be the same shape.
- Find some pieces of A4 paper and a pair of scissors.
- Fold the paper in different ways to create some different sized fractions. For example, you can create 1 6 by halving and then thirding the paper.
- Label and cut out the different sized fractions you have made.
- Find one or more ways to make 1 by putting different combinations of the fractions back together.
Success criteria
- demonstrate an understanding of how to make 1 with different unit fractions
- create different shapes to represent the same fraction
- show how to add fractions with related and unrelated denominators.
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Teaching strategies.
A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well.
Explicit teaching
Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.
Questioning
A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.
Classroom talks
Classroom talks enable students to develop language, build mathematical thinking skills and create mathematical meaning through collaborative conversations.
Teaching resources
A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.
Farm fence fractions
In this lesson, we explore fractions, decimals and perimeter.
Fractional funds
Reinforce understanding of fractions in a practical context, by learning how to find a fraction or percentage of an amount, through budgeting.
Tangrams 3 – reimagining wholes
An investigation of fraction parts represented as an area model in the form of tangrams. The original square made up of tangram pieces is worth 1 whole. What is the value of each of the other pieces?
Wishball hundredths
Students use an interactive tool to test their understanding of decimal place value with numbers that include thousandths.
Mathigon fraction circles
Dynamic software that enables students to manipulate different-sized fractional pie pieces.
Fraction of
Find a simple fraction of a quantity where the result is a whole number.
reSolve: Fraction benchmarks
This sequence emphasises that fractions are numbers and develops students’ understanding of the relative size of fractions.
Middle years maths challenges: Junior Chief Baker
Students work with quantities in a recipe to scale ingredients up or down to find the correct ratios. Refer to p 93 of the resource.
Stripping fractions
This number activity focuses on adding and subtracting related fractions.
Relevant assessment tasks and advice related to this topic.
By the end of Year 6, students order common fractions, giving reasons, and add and subtract fractions with related denominators.
Mathematics: Year 6: ACARA
Refer to work sample 4 'Number: Fractions, decimals, percentages and integers' for guidance on how to assess a student’s understanding of common fractions, decimals and percentages.
Australian Curriculum Year 6 Maths
6. adding fractions.
If you need to, you can download & print the quiz, OR do it online above.
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Year 6 Maths Learning
Here are some of the key learning objectives for the end of Year 6:
- know and use Place value up to 10 million
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Place Value & Number Sense Zone
Year 6 number worksheets.
Here you will find a range of Free Printable Year 6 Number Worksheets.
Using these Year 6 maths worksheets will help your child to:
- use place value with numbers up to 10 million;
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- understand how to use exponents (powers) of a number;
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- extend their knowledge of prime and composite (non-prime) numbers up to 100;
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Ordering Large Numbers and Decimals to 3dp
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Rounding Decimals
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Year 6 Decimal Counting Worksheets
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Year 6 Mental Maths Zone
Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.
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Year 6 Addition Worksheets
- add decimals including tenths and hundredths mentally;
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Year 6 Subtraction Worksheets
Using these sheets will help your child to:
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Year 6 Multiplication Worksheets
- extend their knowlege of multiplication to decimals;
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- multiply different money amounts by a whole number.
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Division Worksheets 5th Grade
Using these Year 6 maths worksheets will help your child learn to:
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Year 6 Maths Problems
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- Year 6 Math Problems (5th Grade)
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Year 6 Fraction Worksheets
Year 6 percentage worksheets, year 6 ratio worksheets.
- compare and order fractions;
- add and subtract fractions and mixed numbers;
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- convert decimals to fractions.
- Comparing Fractions Worksheet page
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Take a look at our percentage worksheets for finding the percentage of a number or money amount.
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Year 6 Geometry Worksheets
- know how to find missing angles in a range of situations;
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Year 6 Maths Puzzles
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The proficiency strands understanding, fluency, problem-solving and reasoning are an integral part of mathematics content across the three content strands: number and algebra, measurement and geometry, and statistics and probability. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies.
At this year level:
- understanding includes describing properties of different sets of numbers, using fractions and decimals to describe probabilities, representing fractions and decimals in various ways and describing connections between them, and making reasonable estimations
- fluency includes representing integers on a number line, calculating simple percentages, using brackets appropriately, converting between fractions and decimals, using operations with fractions, decimals and percentages, measuring using metric units and interpreting timetables
- problem-solving includes formulating and solving authentic problems using fractions, decimals, percentages and measurements, interpreting secondary data displays and finding the size of unknown angles
- reasoning includes explaining mental strategies for performing calculations, describing results for continuing number sequences, explaining the transformation of one shape into another and explaining why the actual results of chance experiments may differ from expected results.
(source: www.australiancurriculum.edu.au )
Achievement Standard
By the end of Year 6, students recognise the properties of prime, composite, square and triangular numbers. They describe the use of integers in everyday contexts. They solve problems involving all four operations with whole numbers. Students connect fractions, decimals and percentages as different representations of the same number. They solve problems involving the addition and subtraction of related fractions. Students make connections between the powers of 10 and the multiplication and division of decimals. They describe rules used in sequences involving whole numbers, fractions and decimals. Students connect decimal representations to the metric system and choose appropriate units of measurement to perform a calculation. They make connections between capacity and volume. They solve problems involving length and area. They interpret timetables. Students describe combinations of transformations. They solve problems using the properties of angles. Students compare observed and expected frequencies. They interpret and compare a variety of data displays including those displays for two categorical variables. They interpret secondary data displayed in the media.
Students locate fractions and integers on a number line. They calculate a simple fraction of a quantity. They add, subtract and multiply decimals and divide decimals where the result is rational. Students calculate common percentage discounts on sale items. They write correct number sentences using brackets and order of operations. Students locate an ordered pair in any one of the four quadrants on the Cartesian plane. They construct simple prisms and pyramids. Students describe probabilities using simple fractions, decimals and percentages.
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Incorporate this mental maths drills booklet into your maths lesson warm-up routine.
Year 6 Fractions, Decimals and Percentages Worksheets
Use these fractions, decimals and percentages worksheets in your Year 6 classroom for independent practice or as an assessment activity.
Adding and Subtracting Fractions Maths Investigation — Renovate with a Rug!
Immerse your students in all things fractions with this maths project based around a real-world scenario.
Converting Units of Capacity Worksheet
A worksheet that focuses on converting units of capacity.
Missing Angles – Year 6 Maths Worksheet
Download this missing angles worksheet to get your students calculating missing angles on right and straight angles.
Measurement Conversions - Length – Worksheet
Use ratio reasoning to practise converting units of length with this worksheet.
Types of Angles Poster Pack
Remind your students about the most common types of angles with this set of six classroom posters.
Adding Like Fractions Escape Room – The Lost Artefact
Have your super-sleuth students solve this fractions escape room to find out the location of the lost artefact!
Class Carnival – Probability STEM Challenges
A set of four carnival-themed STEM challenges where students create fun games that incorporate probability.
Calculating Discounts and Sale Price Teaching Slides
Teach your students how to calculate discounts and sale prices using fractions and decimals with this comprehensive teaching presentation.
Money and Financial Mathematics - Upper Years Interactive PowerPoint
An engaging 44 slide interactive PowerPoint to use in the Upper Years classroom when learning about money and financial mathematics
Reading and Interpreting Timetables Worksheets
Five pages of worksheets that allow students to work on reading and interpreting timetables.
Measurement Conversion Scoot Game
Grab a handy set of 24 measurement conversion task cards to use as a whole class scoot activity.
Area Worksheets
4 area worksheets.
Fraction, Decimal and Percentage Bingo
Convert between fractions, decimals and percentages with this engaging Bingo game the whole class can enjoy!
Chance Worksheets - Year 6
4 chance worksheets linked to the Australian Curriculum.
Volume and Capacity Maths Investigation – Splash World
A mathematics investigation about volume and capacity, embedded in a real-world context.
Connecting Volume and Capacity Posters
A set of three posters to help with connecting and converting units of volume and capacity.
Capacity Vs Volume Poster
A poster explaining the difference between capacity and volume.
Adding, Subtracting, Multiplying and Dividing Fractions Posters
Display these fractions posters in your classroom to remind your students how to perform operations with like and unlike fractions.
Adding Fractions With Like Denominators Interactive Maze
Get your students to add like fractions to find their way out of a space-themed digital maze!
Interactive Maths Review – Activities for Years 5, 6 and 7
Review important maths concepts covered in years 5, 6 and 7 with a student-led interactive activity.
Converting Units of Length – Worksheet
Connect decimal representation while converting units of length with this worksheet.
- Fractions on a Number Line
Year 6 Australia School Math Fractions on a Number Line
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Children can simplify fractions, use common multiples, order fractions, identify the value of decimal digits and finally, multiply and divide decimals by 10, 100 and 1000. These Maths sheets for Year 6 children have also been designed by teachers, with years of experience. Learning from home has never been easier!
This will involve them understanding simpler fractions, such as 1/2, as well as trickier ones like 1/8. By Year 6, the focus switches to making connections between equivalent fractions, decimals and percentages (ACMNA131). This means they must be able to know that 1/2, 0.5 and 50% all represent the same value.
Year 6 - Fractions problems, online practice, tests, worksheets, quizzes, and teacher assignments.
Quality Year 6 Maths Worksheets for Australian Teachers. Our collection of Year 6 Maths worksheets and other resources for Year 5 and Year 6 classes provides everything you need to help teach essential maths and arithmetic topics in line with the Australian Curriculum. Covering key subject areas including Number and Algebra, Measurement and ...
Australia availability . Premium 232. Free 28. file formats . Printable PDF 244. ... Year 6 Fractions, Decimals and Percentages Worksheets ... Use these fractions, decimals and percentages worksheets in your Year 6 classroom for independent practice or as an assessment activity. PDF Year 6 Plus Plan
The worksheets are differentiated as follows: Version 1: includes questions with fractions that have related denominators. Version 2: includes fractions with related and unrelated denominators. Version 3: includes fractions with unrelated denominators. Complete a round each day for three days. Have students time themselves and mark their work ...
This bundle aims to fulfil all of your maths worksheet needs when resourcing lessons teaching fractions to Year 6 classes. A total of 116 questions are supplied acro. International; Resources; ... Year 6 Fractions Worksheets. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. Primary Maths Resources. 3.49 18 reviews. Last ...
This fractions, decimals and percentages worksheet pack for Year 6 downloads as a black-and-white printable PDF. Use the dropdown menu on the Download button to access your preferred version (year level displayed or no year level displayed). As this worksheet pack contains answers, we recommend printing one copy of the entire resource.
Based on the Australian Curriculum, Fractions and decimals in Mathematics Year 6 includes: ACMNA125 Compare fractions with related denominators and locate and represent them on a number line. ACMNA126 Solve problems involving addition and subtraction of fractions with the same or related denominators. ACMNA127 Find a simple fraction of a ...
Mathematics: Year 6: ACARA. Refer to work sample 4 'Number: Fractions, decimals, percentages and integers' for guidance on how to assess a student's understanding of common fractions, decimals and percentages. This planning resource for Year 6 is for the topic of Fractions.
Instead, it's as simple as multiplying the two top numbers, known as the numerators, and then multiplying the two bottom numbers, known as the denominators. The result is the fraction multiplied, and it can be simplified if you're asked to do so. For example: 7/10 x 4/9. First step is to do 7 x 4 = 28.
Here you will find our wide range of free Fraction Worksheets and resources which will help your child with their Fraction learning - from initial introduction thro. Over 4,500 free worksheets available to learn and practice math. Designed by experts and adapted to the demands of each country and school grade. Welcome!
Free lesson on Equivalent fractions, taken from the Fractions topic of our Australian Curriculum 3-10a 2020/21 Editions Year 6 textbook. Learn with worked examples, get interactive applets, and watch instructional videos.
Australian Curriculum Year 6 Maths Fractions 6. Adding Fractions In this lesson, we will be learning how to add fractions with different denominators. Starter Quiz If you need to, you can download & print the quiz, OR do it online above. Download Starter Quiz Lesson Video Presentation Download Slide Deck Worksheet Download Worksheet Exit Quiz […]
This lesson teaches children to solve problems involving fractions by identifying the fraction of amount needed and then calculating non-unit fractions of amounts. It includes a lesson plan, presentation and differentiated worksheets which are aligned to the Australian curriculum for Year 6 mathematics. Sign in to leave a review.
First Nations Australia Homework Basket Activities Poetry Book Week 2024 — Reading Is Magic ... Year 6 Fractions, Decimals and Percentages Worksheets PDF Year 6 ... Converting Percentages Year 6 Worksheet PDF Slide Year 6 Plus Plan Percent Matching Game for Year 6 Maths PDF Slide Year 6 ...
The worksheets cover a range of fraction objectives, from adding and subtracting fractions to working out fractions of numbers. The sheets support fraction learning from 2nd grade to 6th grade. Additional riddles are also a great way to get children to know the language of fractions, order mixed numbers, and fractions, and solve problems.
Browse australia fractions year 6 resources on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources.
Year 6 Number Worksheets. Here you will find a range of Free Printable Year 6 Number Worksheets. Using these Year 6 maths worksheets will help your child to: use place value with numbers up to 10 million; use place value with up to 3 decimal places; understand how to use exponents (powers) of a number; understand and use parentheses (brackets);
This Year 6 fractions worksheet is perfect for teaching your students how to subtract fractions.The resource meets the curriculum objective to add and subtract fractions with different denominators and require students to alter fractions so that they have the same denominator. The lowest common denominator is provided for each question.This year 6 fractions worksheet is ideal for tracking ...
Australia availability . Premium 275. Free 35. file formats . Printable PDF 272. ... Year 6 Fractions, Decimals and Percentages Worksheets ... Use these fractions, decimals and percentages worksheets in your Year 6 classroom for independent practice or as an assessment activity. PDF Year 6 Plus Plan
Fractions on a Number Line problems, practice, tests, worksheets, questions, quizzes, teacher assignments | Year 6 | Australia School Math
Twinkl Australia 5 - 6 Australian Curriculum Resources Mathematics Number Fractions and Decimals. Hosting a grand total of 10 pages, these Maths Word Problems for Year 5-6 children are ideal for showing how fractions relate to everyday situations. Printable.