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 total of weeks that the sunflower has been planted in Gabriella’s garden. In this context, the total height of the sunflower, the height when planted, and the rate (inches per week) is known. This context can be represented algebraically. In order to solve, students will have to remove the height when planted, and then use quotative division to determine the number of weeks. This context is quotative in nature.
Some of the big ideas that may emerge through this task include:
- There are two types of division;
- Quotative division is when the total quota is known (the dividend), and the number per group or the rate (the divisor) is known;
- Quotative division reveals the number of copies or iterations of a rate that can be derived from the overall quota (the dividend);
- In quotative division, the dividend and the divisor have the same unit;
- 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;
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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Prediction: 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: Making Groups of Three
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Student Approach #2: A linear model and skip counting
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Student Approach #3: A number line and partial quotients
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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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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
Prediction: Prompt
Based on the information provided, what variety of sunflower do you believe Gabriella planted?
Justify your answer.
Skyscraper Average Height: 144 inches
American Giant Average Height: 120 inches
Giant Sungold Average Height: 72 inches
Struggle Prompt
This Giant Sungold sunflower was planted in Gabriella’s garden. It was four inches tall when she bought it. The farmer indicated that she should expect this variety of sunflower to grow an additional 3 inches every week until it reaches its maximum height in approximately 24 weeks.
Explain that this information can be represented as an algebraic expression to predict how tall Gabriella’s sunflower will be at the end of each week in her garden.
Use the information about Gabriella’s sunflower to write an expression.
Struggle Prompt #2
Gabriella’s sunflower is now 40 inches tall.
This information can be represented as an equation:
w(3) + 4 = 40
How many weeks has it been planted?
Consolidation Prompt #1
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Consolidation Prompt #2
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Download Editable/Printable Handout
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