Task Teacher Guide
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In This Task…
Students will determine how long in weeks that the sunflower has been planted in the garden.
Intentionality…
In this task, students will determine the price per sunflower. In this context, the total profit after startup costs have been withdrawn is known and the number of sunflowers sold. This context can be represented algebraically as a two-step equation. In order to solve, students will have to add the startup cost to determine the total sales, and then divide the total sales by twelve (the number of sunflowers sold). This context is partitive in nature.
Some of the big ideas that may emerge through this task include:
- There are two types of division.
- Partitive division is when the total quota is known (the dividend), and the number of parts or groups (the divisor) is known.
- Partitive division reveals a rate.
- In partitive division, the dividend and the divisor often have different units.
- The dividend from any division sentence can be decomposed into smaller parts to allow for friendlier division by the divisor. This strategy is known as partial quotients. (i.e.: 85 ÷ 5 = 45 ÷ 5 + 40 ÷ 5 = 9 + 8 = 17).
- Division is the inverse operation of multiplication;
Addition is the inverse operation of addition. - Variables are used to represent changing or unknown quantities.
- When solving an equation where the coefficient of the unknown variable is not equal to 1, division is required to determine the value of the unknown variable and the context of the problem determines which type of division is required.
- A two-step equation is an algebraic equation that takes you two steps to solve.
Spark
What Do You Notice? What Do You Wonder?
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Estimation: Prompt
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Sense Making
Crafting A Productive Struggle: Prompt
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During Moves
While Students Are Productively Struggling…
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Student Approach #1: Fair-sharing into twelve groups
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Student Approach #2: A linear model and partitioning
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Student Approach #3: An algorithm and known facts
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Next Moves
Consolidation: Making Connections
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Reveal
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Reflect
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.
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Resources and Downloads
Lesson Tip Sheet
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Printable Handout
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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.
Click the links at the top of this task to head to the other related lessons created for this unit of study.
What do you notice? What do you wonder?
Spark Image
Estimation: Prompt
Gabriella has decided to sell some of her Giant Sungold sunflowers for a profit. After selling twelve sunflowers, she had made a total profit of $63 after subtracting the cost of buying the seedlings that she originally planted.
What was the price per sunflower that she charged each customer?
Make an estimate.
Estimation: Image
Consolidation Prompt #1
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Consolidation Prompt #2
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Download Editable/Printable Handout
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