Task Teacher Guide

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In today’s piggy bank scenario, we will compare the value of coins in two separate piggy banks relative to the cost of one pack of Pokemon cards using comparison subtraction. As an additional level of complexity, we will have to adjust the value of one piggy bank due to an I.O.U. (i.e.: “I owe you”) situation.

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In this task, students will compare decimal values using comparison subtraction. An I.O.U. (i.e.: “I owe you”) will be added to one piggy bank to introduce the idea of adding a negative value. Students will once again be encouraged to compare the values using a linear model. This model will once again expose the relationship between decimals and fractions as students are required to partition the linear model.

All tasks within this unit are intended to be completed without the use of a calculator to support reasoning and thinking.

Some of the big ideas that may emerge through this task include:

• Fractions can be represented in a variety of ways;
• Fractions (and their decimal representation) represent values relative to a whole (for example, one whole dollar);
• Quantities represented as a decimal are fractions limited to base ten denominators (i.e.: tenths, hundredths, thousandths, etc.);
• Standard representation of coin values are expressed as decimal hundredths;
• Subtraction can mean difference and is used to compare two quantities;
• Removal subtraction of a positive value or adding the negative of that same value has the same result, i.e., 6 – 2 = 6 + (-2).

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Spark

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[accordion-item title=”What Do You Notice? What Do You Wonder?”]

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[accordion-item title=”Estimation: Prompt”]

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[accordion-item title=”While Students Are Estimating…”]

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[accordion-item title=”Estimation Reveal”]

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Sense Making

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[accordion-item title=”Crafting A Productive Struggle: Prompt”]

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During Moves

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[accordion-item title=”While Students Are Productively Struggling…”]

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[accordion-item title=”Student Approach #1: Bar Model w/ Partial Sums Over Addition”]

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[accordion-item title=”Student Approach #2: Number Line w/ Partial Sums Over Subtraction”]

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Next Moves

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[accordion-item title=”Consolidation”]

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[accordion-item title=”Reveal”]

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[accordion-item title=”Reflect”]

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Download Editable/Printable Handout

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Resources and Downloads

Explore The Entire Unit of Study

This Make Math Moments Task was designed to spark curiosity for a multi-day unit of study with built in purposeful practice, and extensions to elicit and emerge mathematical models and strategies.

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