MA19.7.9

Mathematics (2019) Grade(s): 7

MA19.7.9
Use variables to represent quantities in real-world or mathematical problems and construct algebraic expressions, equations, and inequalities to solve problems by reasoning about the quantities.

Unpacked Content

Knowledge

Students know:

p(x + q) = px + pq, where p and q are specific rational numbers.
When multiplying or dividing both sides of an inequality by a negative number, every term must change signs and the inequality symbol reversed.
In the graph of an inequality, the endpoint will be a closed circle indicating the number is included in the solution set (≤ or ≥) or an open circle indicating the number is not included in the solution set ( ).

Skills

Students are able to:

use variables to represent quantities in a real-world or mathematical problem.
Construct equations (px + q = r and p(x + q) = r) to solve problems by reasoning about the quantities.
Construct simple inequalities (px + q > r or px + q
Graph the solution set of an inequality.

Understanding

Students understand that:

Real-world problems can be represented through algebraic expressions, equations, and inequalities.
Why the inequality symbol reverses when multiplying or dividing both sides of an inequality by a negative number.

Vocabulary

Algebraic expressions
Equations
Inequalities
Greater than
Greater than or equal to
less than
less than or equal to

Aligned Learning Resources

Formulas: Area of a Rectangle

Frog Garden Party! Toads and Triangles in the Math Garden

Henry IV, Part I: Does Father Know Best? | Shakespeare Uncovered

How to Use Correlative Conjunctions | No Nonsense Grammar

Multi-Step Real-Life and Mathematical Problems Introduction

Multi-Step Real-Life and Mathematical Problems Lesson

Multi-Step Real-Life and Mathematical Practice Problems

Design by Adaptive Theme