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Multiplying Fractions with and without Arrays

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Jeff's Notebooks
148 Followers
Grade Levels
4th - 6th, Homeschool
Standards
Formats Included
  • Zip
Pages
Multiple randomly generated examples and questions
$6.00
$6.00
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Jeff's Notebooks
148 Followers
Easel Assessment Included
This resource includes a self-grading quiz students can complete on any device. Easel by TPT is free to use! Learn more.

Description

Rectangular Arrays are an ideal visual support for understanding multiplication of fractions. This bundle provides "Interactive Teaching Pages" and "Dynamic Worksheets in 4 key areas:

  • Multiplying two fractions
  • Multiplying a fraction by a whole number
  • Multiplying a whole number by a mixed number
  • Multiplying 2 mixed numbers

There are 6 Worksheets.
All questions are randomised at the click of a button.
All the Worksheets generate solutions.

  • Multiplying two fractions:
    ARRAY: 6 questions with Arrays to color in - size of array reflects the question Set 1: 10 Questions, denominators 2,3,4,5,6,8.
    Set 2: 10 Questions, denominators from 4 to 12.
  • Multiplying a fraction by a whole number
    Worksheet 1: Arrays to color in - size of array reflects the question
    Set 1: 6 Questions, numerator of fraction 1
    Set 2: 6 Questions, numerator of fraction 1,2,3,4,5,6 or 8
    Set 3: 10 Questions, numerator of fraction 1
    Set 4: 10 Questions, numerator of fraction 1,2,3,4,5,6 or 8
  • Multiplying a whole number by a mixed number
    Set 1: 10 Questions, denominator of fraction 2,3 or 4
    Set 2: 10 Questions, denominator of fraction 2 to 9
  • Multiplying 2 mixed numbers
    Set 1: 10 Questions, denominator of fraction 2 or 3
    Set 2: 10 Questions, denominator of fraction 2,3,4,5,6 or 8

"Interactive PDF Teaching Pages" are designed for whole class teaching on an Interactive Whiteboard or on a PC/Mac computer for one-to-one tuition as a way to introduce the content of the worksheets.  With each key resource there are many questions to practice and play with until you are confident the pupils can move onto the Worksheets. 

There are 4 Teaching Pages

  • Multiplying two fractions
  • 2 Sets of Randomised questions.
  • Set 1 - Numerators of both fractions are 1
  • Set 2- Numerators can be 1 or more
  • Multiplying a fraction by a whole number
  • 2 Sets of Randomised questions
  • Set 1 - Numerator of fraction is 1
  • Set 2- Numerator of fraction can be 1 or more
  • Multiplying a whole number by a mixed number
  • 10 Examples to play with.
  • Multiplying 2 mixed numbers
  • 14 Examples to play with

Watch these short videos demonstrating the Interactive Teaching Pages

Easel Assessments

There are 4 assessment covering the 4 levels outlined above. They could initially be used to determine where to begin the teaching program and worksheets to focus on, and then as a final assessment to see if any any level of the work needs reinforcing by repeating a level with a new worksheet. 

Note

This resource works with the official  Adobe Acrobat Reader on Windows or Mac computers.

Total Pages
Multiple randomly generated examples and questions
Answer Key
Included
Teaching Duration
N/A
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Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT’s content guidelines.

Standards

to see state-specific standards (only available in the US).
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Understand a fraction 𝘢/𝘣 as a multiple of 1/𝘣. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
Understand a multiple of 𝘢/𝘣 as a multiple of 1/𝘣, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, 𝘯 × (𝘢/𝘣) = (𝘯 × 𝘢)/𝘣.)
Interpret the product (𝘢/𝘣) × 𝘲 as a parts of a partition of 𝘲 into 𝘣 equal parts; equivalently, as the result of a sequence of operations 𝘢 × 𝘲 ÷ 𝘣. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (𝘢/𝘣) × (𝘤/𝘥) = 𝘢𝘤/𝘣𝘥.)
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

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148 Followers