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.
In This Task…
Students will explore the idea of scaling in tandem with a ratio as a composed unit.
Intentionality…
The purpose of the Day 2 activities is to reinforce key concepts from Day 1. Students will engage in a string of related problems through a math talk and will have an opportunity to complete independent purposeful practice. The math talk and purposeful practice serve to develop a deeper understanding of the following big ideas:
- Unitizing;
- Ratio reasoning through scaling in tandem;
- The relationship between repeated addition and multiplication;
- The relationship between multiplication and division, particularly quotative division;
- A composed unit is one way of defining the relationship that exists in a ratio; and,
- The distributive property of multiplication over addition and over subtraction.
Math Talk
In this math talk, we will explore the relationship between a quadrilateral and its number of sides.
Be sure to set the context prior to having students jump in.
If we have one quadrilateral, there will be four sides.
What if there are two quadrilaterals?
Work through the following composed units by asking students to determine the number of sides, or the number of quadrilaterals.
1 quadrilateral
2 quadrilaterals
4 quadrilaterals
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.
You might consider recording student thinking in a ratio table.
Purposeful Practice
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.
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.
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
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.
Click the links at the top of this task to head to the other related lessons created for this unit of study.
How many…
…sides does 1 quadrilateral have?
…
…2 quadrilaterals?
…
…4 quadrilaterals
…
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.
…
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.
…
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.
Working With Ratios #1
Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.
Working With Ratios #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