Unit 2

Which Variable to Solve for? (Part 1)

Linear Equations, Inequalities, and Systems

​

​

Lesson 8

HSA-CED.A.4: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law 𝘝 = 𝘭𝘙 to highlight resistance 𝘙.

HSA-REI.B.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Expressions and Equations

​

​

Which Equations?

Unit 2 ● Lesson 8

2 questions

Page 194

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

Which Equations?

Unit 2 ● Lesson 8

Warm-up

No

No

Yes

Yes

b.

​

​

​

​

c.

​

​

​

​

d.

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 8

Let’s rearrange equations to pin down a certain quantity.

We will be able to comprehend that “to solve for a variable” is to rearrange an equation to isolate a variable of interest so that we can rearrange multi-variable equations to highlight a particular quantity.

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 8

• Given an equation, you can solve for a particular variable (like height, time, or length) when the equation would be more useful in that form.
• You know the meaning of the phrase “to solve for a variable.”

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.

Unit 2 ● Lesson 8

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

8.2 Activity: Post-Parade Clean-up

I can solve for a particular variable when the equation would be more useful in that form

7 mins Total

Q1 & 2 only - 2 min individual - 2 min group - 3 mins class share

pg 195

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

8.2 Activity: Post-Parade Clean-up

I can solve for a particular variable when the equation would be more useful in that form

Q3 & 4 only - 2 min individual - 2 min group - 3 mins class share

pg 195

7 mins Total

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

8.3 Activity: Filling and Emptying Tanks

I can solve for a particular variable when the equation would be more useful in that form

(4 questions) 4 mins individual - 5 min group - 5 mins class share

15 mins Total

pg 196-7

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

8.3 Activity: Filling and Emptying Tanks

I can solve for a particular variable when the equation would be more useful in that form

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

8.3 Activity: Filling and Emptying Tanks

I can solve for a particular variable when the equation would be more useful in that form

When finding the liters of water in the tank after 4 minutes and 80 seconds, we multiplied the minutes by 9 and then added it to 124. So for m minutes, we'd multiply m by 9 and add 124.

When finding the minutes at which the tank reaches 151 liters, 191.5 liters, and 270.25 liters, we subtracted 124 from each number then divided the difference by 9. So we can do the same for p liters.

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

Which Variable to Solve for? (Part 1)

I can solve for a particular variable when the equation would be more useful in that form

Lesson Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

Which Variable to Solve for? (Part 1)

I can solve for a particular variable when the equation would be more useful in that form

Lesson Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

A Rectangular Relationship

I can solve for a particular variable when the equation would be more useful in that form

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 8

● Given an equation, I can solve for a particular variable (like height, time, or length) when the equation would be more useful in that form.

● I know the meaning of the phrase “to solve for a variable.”

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.

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.

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.