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Grade 5 - Dividing With Fractions Unit

The Dividing with Fractions Unit develops meaning for situations involving dividing a whole number by a unit fraction and dividing a unit fraction by a whole number. Questions asked when dividing whole numbers provide meaning for situations involving division with fractions:

  • When a quantity is shared equally, what is the size of each share? When `1/4` is shared equally among 5, what is the size of each share: `1/4` ÷ 5 =  ?
  • How many groups of a given size are in this whole number? How many `1/4`s are in 5:5 ÷ `1/4` =  ?

Math Concepts and Skills: 

The student develops and uses strategies for positive rational number computation in order to solve problems.

The student is expected to:

  • describe situations in which a unit fraction is divided by a whole number and a whole number is divided by a unit fraction.
  • represent the division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as `1/4` ÷ 5 and 5 ÷ `1/4` using objects and pictorial models such as area models.

Find tasks by units of study

Summative Assessment Task

Students determine if Makayla has enough ribbon to tie bows on the handles of 11 gift baskets.

Students determine the number of packages of sequins, and how many pounds of sequins, Mrs. Mason needs to buy to make one prize ribbon for each student who attends math camp.

Instructional Tasks/Formative Assessments

Students determine if there is enough birdseed in a bird feeder to feed the cardinals for four weeks.

Students determine how much of a bottle of special formula is needed to feed baby squirrels every hour, and how many feedings the rescue team can give two squirrels before they run out of the formula.

Students determine which package of chocolate would give four boys the most chocolate to share.

Students determine how many bookmarks can be made with three yards of ribbon.

Students determine how far each of three teams needs to run in a three-legged relay race for charity. Students also determine the total money the relay teams earned for charity.

Given an amount of biscuits and strawberries, students determine the number of strawberry shortcake servings Elisa can make.

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