Conceptual Fraction Division

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Presentation transcript:

Conceptual Fraction Division July 19, 2017

Use conceptual models to divide fractions Objectives and agenda Use conceptual models to divide fractions Warm Up Equal or Fair Sharing Visualizing Situations for Fraction Division Exit Slip

What story might you invent that can be modeled by this expression? Warm UP What story might you invent that can be modeled by this expression?

Simplify it and use a model to show your solution. Part 2 What story, modeled by this expression, would you invent to give meaning to division? 22 ÷ 4 Simplify it and use a model to show your solution. Handout Unifix Cubes and Chips Examples: Fair Share (Partitive) Number of groups is known Grouping interpretation (quotative, measurement, repeated subtraction) The number of elements in each group is known but the number of groups is unknown.

Fair sharing model of division - partitive division Division Stories Fair sharing model of division - partitive division The number of “groups” is known, but the share received is unknown. Grouping model of division – quotative, measurement, or repeated subtraction The number in each group is known or the ”share), but the number of groups is unknown. Fair share – Sharing marbles among 4 people Grouping Model – I have 22 apples and wish to bag them, 4 apples per bag, how many bags do I need?

What story might you invent that can be modeled by this expression? Try again What story might you invent that can be modeled by this expression? Simplify it and use a model to show your solution.

Picture Number line Pattern blocks Models How many half-gallon bottles can be made from 3 gallons of water? How many half-hour episodes can I watch in a 3-hour span? How many half-pizza portions can be made out of 3 whole pizzas?

Write a situation to model the expression. Now let’s try Write a situation to model the expression. Simplify it using a model.

Number line Clock Rectangle or bar Models You have a half hour before bedtime to finish three math exercises. If you split the time equally, how much time will you spend on each exercise?