Progression of Disciplinary Language

In this unit, teachers can anticipate students using language for mathematical purposes, such as interpreting, explaining, and representing. 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:

Interpret

Situations involving constant speed (Lesson 2).
Concrete problems involving percent increase and decrease (Lesson 7).
Problems involving sales tax and tip (Lesson 10).
Concrete situations involving percent error (Lesson 14).

Explain

How to solve concrete and abstract problems involving an amount plus (or minus) a fraction of that amount (Lesson 4).
How to solve percent change problems (Lesson 6).
Strategies for solving percent problems with fractional percentages (Lesson 9).
How to measure lengths and interpret measurement error (Lesson 13).
Strategies for solving percent error problems (Lesson 14).

Represent

Situations involving percent increase and decrease (Lessons 8 and 15).
Situations from the news involving percent change (Lesson 16).

In addition, students are expected to compare measurements, scale factors, and decimal and fraction representations, compare representations of an increase (or decrease) of an amount by a fraction or decimal, generalize about using constants of proportionality to solve problems efficiently and about relationships with percent increase and decrease, and justify why specific information is needed to solve percent change problems.

The table shows lessons where new terminology is first introduced, 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 from the Glossary appear bolded. Teachers should continue to support students’ use of a new term in the lessons that follow where it was first introduced.

7.4 Progression of Disciplinary Language