## REESES PEANUT BUTTER CUPS [DAY 4]

### Multiplication with partial products

Decompose an array to reveal partial products in order to estimate a large quantity.

## Intentionality & Unit Overview

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Students will determine the total calories and total grams of sugar in 250 Reese’s Peanut Cups through counting, additive and multiplicative thinking. Students will explore rate and ratio reasoning though this composed unit or Peanut Butter Cups, total calories and total sugar.

In this task, students will have an opportunity to determine the total number of calories and grams of sugar in 250 Snack Size Peanut Butter Cups through ratio reasoning and/or rate reasoning. As was the case in Day 3, Students might use counting, repeated addition or multiplication to scale the composed unit in tandem through ratio reasoning.

Students might also use rate reasoning and multiply the number of Peanut Butter cups by the rates (calories per package and grams of sugar per package). Some students might take advantage of the multiplicative comparison between the calories and sugar (there are ten times more calories than sugar).

Some big ideas that will be explored in the following task using whole numbers and to reinforce concepts from Day 3 include:

• Unitizing;
• Ratio reasoning through scaling in tandem;
• The relationship between repeated addition and multiplication;
• A composed unit is one way of defining the relationship that exists in a ratio.
• A ratio represents the relationship between 2 or more quantities.
• The distributive property of multiplication over addition and subtraction.
• When you multiply a number by the base, the digits shift one place to the left.
• There is a constant multiplicative comparison that exists between two quantities in any ratio that is derived from the same rate.
• For equivalence, the ratio must remain constant.

## Provocation

Play the video below so students can begin thinking about the amount of calories and sugar in 250 Snack Size Reese’s Peanut Butter Cups.

## Prompt

Share the following prompt.
How Many Calories and How Much Sugar are in 250 Snack Size Reese’s? Make an estimate.

## Crafting A Productive Struggle: Prompt

Share the following image that reveals information about an 8 snack size pack of Reeses Peanut Butter Cups.

Note that the nutritional information shared on the front of the package is for 2 cups; 160 calories and 16 grams of sugar.

## While Students Are Productively Struggling…

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## Student Approach #1: Double Number Line Using Ratio Reasoning

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## Student Approach #2: Ratio Table Using Ratio Reasoning

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## Student Approach #3: Symbolic Representation Using Rate Reasoning

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## Reveal

Play the REVEAL video below so students can see the total number of calories. ANSWER: 20,050 calories

## Consolidation

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## Reflect and Consolidation Prompts

Provide students an opportunity to reflect on their learning by offering these consolidation prompts to be completed independently.

### Consolidation Prompt #1:

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### Consolidation Prompt #2:

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We suggest collecting this reflection as an additional opportunity to engage in the formative assessment process to inform next steps for individual students as well as how the whole class will proceed.