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 point
1
Question 1
1.
Is each equation true or false? Be prepared to explain your reasoning.
Required
1 point
1
Question 2
2.
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1 point
1
Question 3
3.
Launch: - (10 min)
I do (question
We do (question
You do (question)
Required
1 point
1
Question 4
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
1 point
1
Question 5
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
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Question 6
6.
Graph: :
s > 12
Activity 1: Basketball Game
(10 minutes)
(Talk amongst your group)
Noah Scored n points in a basketball game.
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Question 7
7.
What does 15 < n mean in the context of the basketball game?
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Question 8
8.
What does n < 25 mean in the context of the basketball game?
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Question 9
9.
Draw two numbers lines to represent the solutions to the two inequalities
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Question 10
10.
Name a possible value for that is a solution to both inequalities
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Question 11
11.
Name a possible value for that is a solution to 15 < n, but not a solution to n < 25
Required
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Question 12
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.
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Question 13
13.
Write an inequality to represent her statement. Let be the weight of one pentagon and be the weight of one circle.
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Question 14
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
1 point
1
Question 15
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
0 points
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Question 16
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
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Question 17
17.
Graph the solutions to this inequality on a number line.
Required
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Question 18
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
0 points
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Question 19
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?