Task Teacher Guide

Be sure to read the teacher guide prior to running the task. When you’re ready to run the task, use the tabs at the top of the page to navigate through the lesson.

[accordion openall=”false” clicktoclose=”true” state=”closed” autoclose=”false” openfirst=”true” clicktoclose=”true”]
[accordion-item title=”In This Task…”]

Today students will explore a composed unit ratio from a recipe with three distinct units. Based on the available quantity of, they will have to reveal the corresponding quantities for the others by determining a rate through partitive division, or a scale factor through quotative division.

[/accordion-item]

[accordion-item title=”Intentionality…”]

In this task, students will determine how much of each ingredient they will need to make an Alrnold Palmer drink. The spark in today’s task will attempt to encourage students to leverage their understanding of composed unit ratios to either reveal rates through partitive division or a scale factor through quotative division.
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 composed unit is often (not always) a ratio with two distinct units;
• A composed unit can be scaled in tandem;
• Equivalent ratios are derived from the same rate;
• When you divide a composed unit through partitive division, you reveal a rate;
• Quotative division is applied when trying to determine a scale factor between two quantities/measures of the same unit (i.e. rice and rice, water and water);
• When you invert the dividend and the divisor in a quotative division sentence, the quotient (the revealed scale) has a reciprocal relationship (i.e., 4 1 = 4 and 1 4 = ¼ )

[/accordion-item]
[/accordion]

Spark

[accordion openall=”false” clicktoclose=”true” state=”closed” autoclose=”false” openfirst=”false” clicktoclose=”true”]
[accordion-item title=”What Do You Notice? What Do You Wonder?”]

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


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

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


[/accordion-item]

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

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


[/accordion-item]
[/accordion]

Sense Making

[accordion openall=”false” clicktoclose=”true” state=”closed” autoclose=”false” openfirst=”false” clicktoclose=”true”]
[accordion-item title=”Crafting A Productive Struggle: Prompt”]
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


[/accordion-item]
[/accordion]

During Moves

[accordion openall=”false” clicktoclose=”true” state=”closed” autoclose=”false” openfirst=”false” clicktoclose=”true”]
[accordion-item title=”While Students Are Productively Struggling…”]

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


[/accordion-item]
[accordion-item title=”Student Approach #1: Partitioning a Volume Model”]

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


[/accordion-item]
[accordion-item title=”Student Approach #2: Revealing a Rate on a Stacked Number Line”]

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


[/accordion-item]
[accordion-item title=”Student Approach #3: Using Multiplicative Comparison and a Bar Model”]

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


[/accordion-item]
[/accordion]

Next Moves

[accordion openall=”false” clicktoclose=”true” state=”closed” autoclose=”false” openfirst=”false” clicktoclose=”true”]
[accordion-item title=”Consolidation: Making Connections”]

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.


[/accordion-item]
[accordion-item title=”Reveal”]

Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

[/accordion-item]
[accordion-item title=”Reflect”]
Provide students an opportunity to reflect on their learning by offering these consolidation prompts to be completed independently.

Consolidation Prompt #1:
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

Consolidation Prompt #2:
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.

Download Editable/Printable Handout

Become a member to access purposeful practice to display via your projector/TV, download the PDF to upload to your LMS and/or print for students to have a physical copy

JOIN TO DOWNLOAD

[/accordion-item]
[/accordion]

Resources and Downloads

Oh No! You Must Be Logged In!

Download a printable lesson plan, video/images, and presentation slides in Keynote and PowerPoint format to make the experience as smooth as possible by becoming a member of the Make Math Moments Academy.