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Cake Shop Fraction Areas

Grade 5 practice finding the area of rectangles with fraction side lengths by tiling a unit square and by multiplying, set in a cake shop.

Grade 5MathInteractive · Printable

Aligned to5.NF.B.4.b

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
12 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 5
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Short answer, Drawing

About this worksheet

What students practice

Students find the area of a rectangle with fraction side lengths by counting unit fraction tiles.
Students show that multiplying the side lengths gives the same area as tiling.
Students multiply fraction and mixed-number side lengths to find and compare areas.

How to use

Model Part 1 together: count the tiles in the whole square, then the shaded tiles. Students can then work through Parts 2 and 3 on their own and share their explanations for the last question.

Curriculum

Common Core standard covered

5.NF.B.4.b

Find the area of a rectangle with fractional side lengths by tiling and by multiplying.

Preview

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Cake Shop Fraction Areas

Tile and multiply to find areas with fraction side lengths.

Part 1: Tile the cake pan

Each picture shows a square cake pan that is 1 foot long and 1 foot wide, so the thick outline is 1 square foot (sq ft). The pan is split into equal tiles. The dark rectangle shows where the baker spreads frosting.

Look at the whole pan.

How many equal tiles cover the whole pan? tiles
What is the area of one tile? sq ft

Now look at the frosted rectangle.

How many tiles does the frosted rectangle cover? tiles
What is the area of the frosted rectangle? sq ft
Multiply the side lengths: 3/4 × 2/3 =

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