Multiplying non-unit fractions with integers
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Lesson details
Key learning points.
- In this lesson, we will look at what happens when we multiply a non-unit fraction by an integer.
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
Starter quiz
5 questions.
Lesson appears in
Unit maths / manipulating and calculating with fractions.
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Multiply Non-Unit Fractions By Non-Unit Fractions
Description.
Students continue their learning of multiplication of fractions by fractions—both in fraction and decimal form. The topic starts with multiplying a unit fraction by a unit fraction and progresses to multiplying two non-unit fractions.
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- Grade 5 Mathematics Module 4, Topic E, Lesson 15
Prerequisites
- 3.MD.C.7.B ,
- CCSS Standard:
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Fractions - Multiply a Non-Unit Fraction by an Integer - Worksheet
Maths Resource Description
This worksheet is designed to enhance children's skills in multiplying non-unit fractions by whole numbers. It builds on their existing knowledge of multiplying unit fractions by integers, employing similar models and methods to illustrate the concept. The worksheet encourages discussion about the most efficient method for solving various problems, and it emphasizes the commutative property of multiplication by showing that the order of the fraction and the integer can be reversed without changing the result. Students are introduced to three different methods for multiplying fractions by integers, allowing them to choose the one they find most effective.
Students are tasked with applying their understanding through reasoning and problem-solving exercises. They are presented with models such as number lines and shaded grids to visually represent the multiplication process. For example, they might count the number of sixths in a model to find the product of 5/6 multiplied by 3. The worksheet also includes challenges where students must balance calculations and use digit cards to complete multiplications. Errors in reasoning, such as incorrectly counting the total number of boxes to determine the denominator, are addressed, guiding students towards a deeper comprehension of fraction multiplication. These activities not only reinforce fluency and precision in calculations but also encourage critical thinking and the application of various strategies to solve more complex problems.
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Year 5 Multiply Non-Unit Fractions by an Integer Maths Challenge
This Year 5 Multiply Non-Unit Fractions by an Integer Maths Challenge checks your child’s understanding of multiplying non-unit fractions by an integer within a problem solving context. Children will apply their knowledge to identify the tiles Jenny and Jamal land on as they play their game.
If you would like to access additional resources which link to this maths challenge, you can purchase a subscription for only £5.31 per month on our sister site, Classroom Secrets .
Teacher Specific Information
This Year 5 Multiply Non-Unit Fractions by an Integer Maths Challenge checks pupils’ understanding of multiplying non-unit fractions by an integer within a problem solving context. Children will apply their knowledge to identify the tiles Jenny and Jamal land on as they play their game.
National Curriculum Objectives
Fractions (including decimals and percentages)
Mathematics Year 5: (5F5) Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Mathematics Year 5: (5F3) Compare and order fractions whose denominators are all multiples of the same number
Mathematics Year 5: (5F2a) Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ]
Mathematics Year 5: (5F2b) Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
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Year 5 – Fractions – Multiply non-unit fractions by an integer - White Rose Maths
Subject: Mathematics
Age range: 7-11
Resource type: Lesson (complete)
Last updated
3 January 2022
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Carefully crafted teaching presentation with everything you need to teach this small step of White Rose Maths Year 5 Spring Block 2 Fractions. This presentation follows the mastery approach of concrete, pictorial and abstract, whilst implementing all aspects of Rosenshine’s principles of instruction.
This presentation contains: *A warm-up to start the children’s thinking with AfL and metacognition style questions. *Guided practice through each new concept, providing models of strategies and worked examples. *Independent practice through differentiated varied fluency, reasoning and problem-solving questions. *Plus, a greater depth extension activity to fully show students’ understanding. *Answer sheets for teacher or students’ self/peer assessment *Student refection page to discuss the lesson’s objectives and their individual next steps.
The complete Year 5 Fractions Unit can be found here. -This product is not affiliated with nor endorsed by White Rose Maths-
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IMAGES
VIDEO
COMMENTS
Reasoning and Problem Solving - Multiply Non-Unit Fractions by an Integer - Teaching Information. 1a. 1b. 15 I think the answer is . 15 I think the answer is . 12 I think the answer is . 13 I think the answer is . 3a. number or symbol to make the comparison statements correct. 3b. number or symbol to make the comparison statements correct.
Reasoning and Problem Solving Multiply Non-Unit Fractions by an Integer Reasoning and Problem Solving Multiply Non-Unit Fractions by an Integer Developing 1a. A is the odd one out as it equals . All the rest equal or . 2a. Rosie is correct. Todd has added the integer to the numerator and denominator. 3a. or Expected 4a.
This fantastic teaching pack includes a resource sheet of fluency, reasoning and problem-solving questions, together with a teaching PowerPoint of similar questions to use with the whole class. Complements the year 5 White Rose Maths small step 'Multiply non-unit fraction by an integer' and the year 5 national curriculum aim 'Multiply proper ...
Key learning points. In this lesson, we will look at what happens when we multiply a non-unit fraction by an integer. This content is made available by Oak National Academy Limited and its partners and licensed under Oak's terms & conditions (Collection 1), except where otherwise stated.
Mathematics Year 5: (5F5) Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams Mathematics Year 5: (5F2a) Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5 ] Mathematics ...
Join Jade in this Year 5 Multiply Non-Unit Fractions by an Integer Answer Video as she explains how to work out the answers to the different questions. The v...
Math Grade 5 Curriculum Map. module 1 - module 2 - module 3 - module 4 - topic A. topic B. topic C. topic D. topic E. topic F. topic G. topic H. module 5 - module 6 - Description. ... The topic starts with multiplying a unit fraction by a unit fraction and progresses to multiplying two non-unit fractions.
Hey guys!Here's a little instructional video to help you multiply non-unit fractions by integers (whole numbers). The videos below will help you with some of...
This Year 5 Multiply Non-Unit Fractions by an Integer lesson covers the prior learning of multiplying unit fractions by an integer, before moving onto the main skill of multiplying non-unit fractions by an integer. The lesson starts with a prior learning worksheet to check pupils' understanding. The interactive lesson slides recap the prior ...
Use these teacher-created differentiated worksheets to support children in multiplying non-unit fractions by an integer. You can find a superb lesson pack to further support this aim in Twinkl PlanIt.These worksheets are differentiated to help reach the needs of all the children in your class. Children are supported with the use of bar models and number lines. This activity meets the year five ...
It builds on their existing knowledge of multiplying unit fractions by integers, employing similar models and methods to illustrate the concept. The worksheet encourages discussion about the most efficient method for solving various problems, and it emphasizes the commutative property of multiplication by showing that the order of the fraction ...
A non-unit fraction is a fraction where the numerator is greater than 1, for example 2/3, 3/4. Twinkl PlanIt Maths Year Five Number - Fractions, Decimals and Percentages Fractions B. A comprehensive lesson pack which teaches year 5 children to multiply non-unit fractions by an integer.
Teacher Specific Information. This Year 5 Multiply Non-Unit Fractions by an Integer Maths Challenge checks pupils' understanding of multiplying non-unit fractions by an integer within a problem solving context. Children will apply their knowledge to identify the tiles Jenny and Jamal land on as they play their game. If you would like to ...
Multiply Non-Unit Fractions by an Integer Year 5 Varied Fluency with answers. Multiply Non-Unit Fractions by an Integer Year 5 Reasoning and Problem Solving with answers. National Curriculum Objectives. Mathematics Year 5: (5F5) Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Questions 2, 5 and 8 (Problem Solving) Developing Use digit cards to complete a multiplication of unit fractions by integers. Expected Use digit cards to complete a multiplication of unit fractions by integers. Fractions need to be reduced to their simplest form using knowledge of equivalent fractions. Greater Depth Use digit cards to complete ...
pdf, 4.84 MB. flipchart, 2.99 MB. This is a whole lesson based on the Year 5 Fractions objective of ''Multiply unit and non-unit fractions by an integer". This resource includes the teacher input ( learning journey), independent worksheet and a depth activity to deepen the children's understanding of the concept being learned.
*Independent practice through differentiated varied fluency, reasoning and problem-solving questions. *Plus, a greater depth extension activity to fully show students' understanding. *Answer sheets for teacher or students' self/peer assessment *Student refection page to discuss the lesson's objectives and their individual next steps.
To multiply a mixed number by an integer there are two efficient strategies. The first is by looking at the calculation as repeated addition. For example: 2 1/3 x 3 = 2 1/3 + 2 1/3 + 2 1/3. You then add the whole separately and then the parts and then combine to get the final answer. 2 x 3 = 6. 1/3 x 3 = 3/3 = 1. 6 + 1 = 7.
When multiplying a unit fraction by an integer you effectively multiply the numerator by the integer. For example: 1/7 x 5 = 5/7. The above video may be from a third-party source. We accept no responsibility for any videos from third-party sources. Please let us know if the video is no longer working.
This Year 5 Multiply Unit Fractions by an Integer lesson covers the prior learning of adding 2 or more fractions, before moving onto the main skill of multiplying unit fractions by an integer. The lesson starts with a prior learning worksheet to check pupils' understanding. The interactive lesson slides recap the prior learning before moving ...