Lesson 1: Writing algebraic Expression

How is a variable used to represent a quantity?
How are verbal expressions and algebraic expressions similar?
What are some words that represent mathematical operations?

Algebraic Expression
Variable

A.SSE.1a
A. Interpret the structure of expressions
1. HSA-SSE.A.1
Interpret expressions that represent a quantity in terms of its context.

Lesson Description In this introductory lesson, students will learn to identify key operational words—such as "sum," "difference," "product," and "quotient"—and translate them into mathematical symbols. The lesson covers: Defining variables and constants. Identifying "turn-around phrases" (like less than or subtracted from) that change the order of terms. Writing expressions that involve multiple operations (e.g., "twice the sum of a number and five").Evaluating basic expressions by substituting numerical values for variables.
Purpose: The goal of this section is to develop mathematical literacy. Before students can solve complex equations, they must be able to "speak" the language. This section ensures students can: Interpret word problems accurately. Communicate quantitative relationships using concise symbolic notation. Build the mental framework necessary for the upcoming sections on solving linear equations.
DOK Level: 1 & 2Level 1 (Recall & Reproduction): Students will identify operational keywords and perform basic one-step translations (e.g., "the sum of $x$ and 5" becomes $x + 5$).Level 2 (Skills & Concepts): Students will apply their knowledge to multi-step phrases and scenarios where the order of operations matters (e.g., "7 less than the product of 3 and $y$" becomes $3y - 7$).

If you identify students who trouble writing mathematical or verbal expressions pair them with other students as mentors for practicing these skills.

Formative assessment unit 1