In this optional unit, students use concepts and skills from previous units to solve problems. The first section focuses on calculating or estimating quantities associated with running a restaurant. The second section explores a variety of different contexts, such as population density, Fermi problems, measurement error, and deforestation. In the last section, students build a trundle wheel and design a five-kilometer race course.
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 justifying, representing, and critiquing. 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:
Justify
- Choices and predictions in the context of running a restaurant (Lesson 1).
- Reasoning about length, area, and volume in the context of a restaurant (Lesson 3).
- Reasoning about the forested area on a map (Lesson 8).
Represent
- Costs of ingredients in a spreadsheet (Lesson 1).
- Situations using expressions and equations (Lesson 6).
- A map of a designed race course (Lesson 12).
Critique
- Peer reasoning about calculations of age, heart beats, and hairs (Lesson 5).
- Peer reasoning about percent error in length, area, and volume measurement (Lesson 7).
- Peer methods of measuring distance (Lesson 9).
In addition, students are also expected to describe methods for measuring distance, including how to build and use a trundle wheel, and compare advantages and disadvantages of different methods.
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 where it was first introduced.
| lesson |
new terminology |
| receptive |
productive |
| 7.9.1 |
spreadsheet
cell
formula
serving |
|
| 7.9.2 |
profit
expense |
|
| 7.9.4 |
population density |
|
| 7.9.7 |
|
percent error |
| 7.9.8 |
forested land
deforestation
reforestation |
|
| 7.9.10 |
trundle wheel |
|
| 7.9.12 |
|
trundle wheel |