In these optional lessons, students solve complex problems. In the first several lessons, they consider tessellations of the plane, understanding and using the terms “tessellation” and “regular tessellation” in their work, as well as using properties of shapes (for example, the sum of the interior angles of a quadrilateral is 360 degrees) and transformations to make inferences about regular tessellations. These lessons need to come after unit 8.1 has been done. In the later lessons, they investigate factors that impact predicting the temperature. In particular, they use scatter plots and lines of best fit to model the association between temperature and latitude. These lessons need to come after units 8.5 and 8.6 have been done.
All related standards in this unit have been addressed in prior units. These sections provide an optional opportunity for students to go more deeply and make connections between domains.
Progression of Disciplinary Language
In this unit, teachers can anticipate students using language for mathematical purposes, such as describing, representing, and justifying. Throughout the unit, students will benefit from routines designed to grow robust disciplinary language, both for their own sense-making and for building shared understanding with peers. Teachers can formatively assess how students are using language in these ways, particularly when students are using language to:
Describe
- Tessellations (Lesson 1)
- Associations in bivariate data (Lesson 5).
Represent
- The relationship between latitude and weather (Lesson 5).
Justify
- Claims about shapes that can and cannot be used to produce regular tessellations (Lesson 2).
The table shows lessons where new terminology is first introduced in this course, including when students are expected to understand the word or phrase receptively and when students are expected to produce the word or phrase in their own speaking or writing. Terms that appear bolded are in the Glossary. Teachers should continue to support students’ use of a new term in the lessons that follow the one in which it was first introduced.
| lesson |
new terminology |
| receptive |
productive |
| 8.9.1 |
|
tessellation
pattern |
| 8.9.2 |
regular tessellation |
regular polygon |
| 8.9.6 |
|
mathematical model |