Equations and Inequalities

Lesson 11

Objective

Solve one-step inequalities.

Common Core Standards

Core Standards

?

  • 6.EE.B.6 — Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

  • 6.EE.B.8 — Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

Criteria for Success

?

  1. Write one-step inequalities involving all four operations for real-world situations. 
  2. Solve inequalities using knowledge of how to solve corresponding equations. 
  3. Understand the difference between an equation and an inequality in representing a real-world situation.

Tips for Teachers

?

Students continue to engage in MP.2 as they write, solve, and interpret inequalities for real-world problems.

Fishtank Plus

Subscribe to Fishtank Plus to unlock access to additional resources for this lesson, including:

  • Problem Set
  • Student Handout Editor
  • Google Classrom Integration
  • Vocabulary Package

 

Anchor Problems

?

Problem 1

Nia has a summer job working at a restaurant. She wants to save at least $500 by the end of the summer. If Nia works for 8 weeks over the summer, how much should she save each week?

Write and solve an inequality. Explain what your solution means in context of the situation.

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem 2

Omar has a gift card to a department store in the amount of $100. He spends $58 on a pair of boots and then $26 on a sweater. Omar also wants to buy a hat at the store. Using his gift card, what is the most he can spend on the hat?

Write and solve an inequality. Explain what your solution means in context of the situation.

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem 3

Solve the inequalities. 

  1.   $${{x\over3}<27}$$
  2.   $${x-17.45>30.6}$$

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem Set

?

With Fishtank Plus, you can download a complete problem set and answer key for this lesson. Download Sample

The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.

  • Include examples similar to Anchor Problems #1 and #2. Compare these to similar situations that result in equations.
  • Spiral in review of equations, especially with fractional coefficients.

Target Task

?

A baker has at most 120 minutes to decorate 40 cupcakes. How long can she spend decorating each cupcake to stay within her time limit?

Write and solve an inequality. Explain what your solution means in context of the situation.

Mastery Response

?

Create a free account or sign in to view Mastery Response