Task Teacher Guide
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In This Task…
Today students will compare the height of two varieties of sunflowers. Through quotative division, they will reveal how many times larger the Russian Mammoth sunflower is than the Pacino sunflower. This context will introduce a different type of ratio; a multiplicative comparison.
Intentionality…
In this task, students will determine how many times taller the Russian Mammoth sunflower is than the Pacino sunflower. The spark in today’s task will attempt to encourage students to leverage a linear model to compare the height of the two flowers. Through quotative division, students will be able to reveal a scale factor. The heights of the two sunflowers can be represented as a ratio with the same unit (inches and inches). This type of ratio is called a multiplicative comparison. Some of the big ideas that may emerge through today’s tasks include:
- There are two types of ratios; composed unit and multiplicative comparison;
- A multiplicative comparison is a ratio with the same unit;
- The scale factor between a multiplicative comparison can be revealed through quotative division.
Spark
What Do You Notice? What Do You Wonder?
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Estimation: Prompt
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Estimation: Reveal
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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: Counting Using Square Tiles as Units of Twelve
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Student Approach #2: Repeated Addition Using a Bar Model
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Student Approach #3: Scaling on a Number Line
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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 #1: Reveal Video
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Consolidation Prompt #2:
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Consolidation Prompt #2: Reveal Video
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Consolidation Prompt #3: Reveal Video
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Consolidation Prompt #4:
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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
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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.
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Struggle Prompt #1:
How many times taller is the Russian Mammoth sunflower than the Pacino sunflower?
Use a model of your choice to justify your answer.
Struggle Prompt #2:
How many times taller is the Russian Mammoth sunflower than the Pacino sunflower?
What fraction of the Russian Mammoth’s height is the height of the acino?
Use a model of your choice to justify your answer.
Consolidation Prompt #1
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Consolidation Prompt #1: Reveal Video
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Consolidation Prompt #2
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Consolidation Prompt #2: Reveal Video
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Consolidation Prompt #3
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Consolidation Prompt #3: Reveal Video
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Consolidation Prompt #4
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Download Printable PDF Handout
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