Equations and Inequalities

Lesson 11

Math

Unit 6

6th Grade

Lesson 11 of 14

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

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Anchor Problems

25-30 minutes


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.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

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.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

Problem 3

Solve the inequalities. 

a.   $${{x\over3}<27}$$

b.   $${x-17.45>30.6}$$

Guiding Questions

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

Student Response

Upgrade to Fishtank Plus to view Sample Response.

Problem Set

15-20 minutes


Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task

5-10 minutes


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.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or 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.

Next

Write equations for and graph ratio situations. Define independent and dependent variables.

Lesson 12
icon/arrow/right/large

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Reasoning About and Solving Equations

Topic B: Reasoning About and Solving Inequalities

Topic C: Representing and Analyzing Quantitative Relationships

Request a Demo

See all of the features of Fishtank in action and begin the conversation about adoption.

Learn more about Fishtank Learning School Adoption.

Contact Information

School Information

What courses are you interested in?

ELA

Math

Are you interested in onboarding professional learning for your teachers and instructional leaders?

Yes

No

Any other information you would like to provide about your school?

We Handle Materials So You Can Focus on Students

We Handle Materials So You Can Focus on Students

We've got you covered with rigorous, relevant, and adaptable math lesson plans for free