Unit 2
Planning a Pizza Party
Linear Equations, Inequalities, and Systems
Lesson 1
HSA-CED.A.2: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
HSA-CED.A.3: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
HSN-Q.A.2: Define appropriate quantities for the purpose of descriptive modeling.
Expressions and Equations
Health Care Spending
Unit 2 ● Lesson 1
Page 130
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Health Care Spending
Unit 2 ● Lesson 1
Warm-up
An equation is a statement that an expression has the same value as another expression.
Yes. Yes. Yes.
Yes. If m is 7.50 and t is 12.50, then the equation is true.
If m is 7.50 and t is anything but 12.50, then the equation is false.
Yes. The first one tells us the price in dollars. The second tells us how the price compares to a side dish.
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Unit 2 ● Lesson 1
Let’s write expressions to estimate the cost of a pizza party.
We will be able to determine which quantities in a situation can vary and which ones cannot so that we can use letters and numbers to write expressions representing the quantities in a situation.
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Where were we? Where are we? Where are we going?
Unit 2 ● Lesson 1
Agenda Review
You are successful today when...,
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
1.2 Activity: How Much Will It Cost?
You can tell which quantities in a situation can vary and which ones cannot
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
1.2 Activity: How Much Will It Cost?
You can tell which quantities in a situation can vary and which ones cannot
20 mins Total
5 min Intro - 10 min group - 5 mins class share
Group Work
You will need:
Calculators
Internet
Share your group's proposal with another group
Present plan on Wall Whiteboards
Next week. Each student pays their share. Teacher eats for free.
pg 130-1
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
1.2 Activity: How Much Will It Cost?
You can tell which quantities in a situation can vary and which ones cannot
Who would like to share your group's proposal with the class?
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
1.2 Activity: How Much Will It Cost?
You can tell which quantities in a situation can vary and which ones cannot
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
1.2 Activity: How Much Will It Cost?
You can tell which quantities in a situation can vary and which ones cannot
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Planning a Pizza Party
You can tell which quantities in a situation can vary and which ones cannot
counting the number of students, researching actual prices
pizza preferences, number of slices per person, possible prices of pizza
It would be inefficient to take exact orders, cost much more, and likely mean a lot of leftovers.
If the assumption was a slice of pepperoni pizza per person, it would probably cost less, but many students might not be able to enjoy the pizza or might not have enough.
Lesson Synthesis
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Glossary
Unit 2 ● Lesson 1
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Glossary
Unit 2 ● Lesson 1
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Ice Cream Party
You can tell which quantities in a situation can vary and which ones cannot
As a reward for achieving their goals, all students in the eighth grade are invited to an ice cream party.
8
Cool-down
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Unit 2 ● Lesson 1
● I can explain the meaning of the term “constraints.”
● I can tell which quantities in a situation can vary and which ones cannot.
● I can use letters and numbers to write expressions representing the quantities in a situation.
Learning
Targets
Unit 2 ● Lesson 1
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.