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OAT Lesson 16: Interpreting Inequalities

By EDWIN TORRES-BATISTA
Last updated about 1 year ago
19 Questions
Develop Understanding
Today's Learning Goal: (G6, U7, L10)
  • Critique (orally and in writing) possible values given for a situation with more than one constraint, including whether fractional or negative values are reasonable.
  • Interpret unbalanced hanger diagrams (orally and in writing) and write inequality statements to represent relationships between the weights on an unbalanced hanger diagram.
  • Write and interpret inequality statements that include more than one variable.
Today's Materials:
  • Laptop
  • Laptop charger
  • Pen/Pencil/Paper/Expo Marker (optional)
Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.
Reminders:
1. Ready for class
2. No cellphones
3. Volume must be low.
4. Read and follow all directions
5.) Take your bag off and immediately begin the Activator.

JUMP START: True or False: Fractions and Decimals - (5min)

Required
1.

Is each equation true or false? Be prepared to explain your reasoning.


Required
2.

Required
3.

Launch: - (10 min)

I do (question
We do (question
You do (question)
Required
4.

There is a closed carton of eggs in Mai's refrigerator. The carton contains eggs, and it can hold 12 eggs.

  • What does the inequality e < 12 mean in this context?
  • What does the inequality e >0 mean in this context?
  • What are some possible values of that will make both e < 12 and e > 0 true?

Required
5.

Here is a diagram of an unbalanced hangar:
  • Write an inequality to represent the relationship of the weights. Use "s" to represent the weight of the square in grams and to represent the weight of the circle in grams.

  • One red circle weighs 12 grams. Write an inequality to represent the weight of one blue square.

  • Could 0 be a value of "s"? Explain your reasoning.s" ? Explain your reasoning.

Required
6.

Graph: :
s > 12

Activity 1: Basketball Game

(10 minutes)

(Talk amongst your group)

Noah Scored n points in a basketball game.

Required
7.

What does 15 < n mean in the context of the basketball game?

Required
8.

What does n < 25 mean in the context of the basketball game?

Required
9.

Draw two numbers lines to represent the solutions to the two inequalities

Required
10.

Name a possible value for that is a solution to both inequalities

Required
11.

Name a possible value for that is a solution to 15 < n, but not a solution to n < 25

Required
12.

Can -8 be a solution to n in this context? Explain your reasoning.

Activity 2: Unbalanced Hangers

(Complete on paper)

Here is a diagram of an unbalanced hanger. Jada a says that the weight of one circle is greater than the weight of one pentagon.

Required
13.

Write an inequality to represent her statement. Let be the weight of one pentagon and be the weight of one circle.

Required
14.

A circle weighs 12 ounces. Use this information to write another inequality to represent the relationship of the weights. Then, describe what this inequality means in this context.

Here is another diagram of an unbalanced hanger:

(Use this diagram for questions 12-15)
Required
15.

Write an inequality to represent the relationship of the weights. Let be the weight of one pentagon and be the weight of one square.

Required
16.

One pentagon weighs 8 ounces. Use this information to write another inequality to represent the relationship of the weights. Then, describe what this inequality means in this context.

Required
17.

Graph the solutions to this inequality on a number line.

Required
18.

Based on your work so far, can you tell the relationship between the weight of a square and the weight of a circle? If so, write an inequality to represent that relationship. If not, explain your reasoning.

Required
19.

Cool Down: Lin and Andre’s Heights -

Complete on paper (5 min)

Closure Questions:

  • What do these symbol mean? <, <, >, >
  • What is the difference between an equations and inequalities?
  • What happens to the inequality sign when you multiply or divide by a negative number?
EX: -5x > 20