MidSchoolMath 1

Being able to write an algebraic equation to express a relationship will help students in higher levels of math and science as well as in real life applications. In Sister Act, sisters Ada and Renee are traveling through space in their dad’s cruiser when they encounter a malfunction with the Distometer. They determine they can fix the malfunction by entering the d = rt equation, but must first determine their current speed. They decide to keep track of the time and distance they are traveling. The data provided is a chart the sisters create from the time and distance values.

LESSON: SISTER ACTWhat equation should they enter into the Distometer?

Sister Act

6.EE.C.9Expressions & EquationsUse variables to represent two quantities in a real world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at a constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

The Math SimulatorTM

ImmersionPlay Sister Act Immersion video, whole-class. Restate the question: What equation should they enter into the Distometer?Facilitate classroom discussion; ask students: "What do we need to know?"

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2 Data & ComputationPrint the Data Artifact and distribute to students. Allow students work time. Ask students: "Does your answer make sense?"Consider using a sharing protocol leading to mathematical insights and/or highlighting misconceptions. Allow students to revise their work.

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Download the Detailed Lesson PlanAvailable on the Teacher Dashboard

3 ResolutionPlay Sister Act Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).

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+ Simulation TrainerAssign the Simulation Trainer.Use protocols that encourage students to help each other.Use Progress Monitoring to access real-time data for the classroom.Provide individual help for students who are not making progress.

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(Use student headphones.)

MidSchoolMath Sister Act

Clicker QuizLaunch the Clicker Quiz, whole-class.

6.EE.C.9Expressions & Equations

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Gladys: Remind students that the independent variable is the one that affects or changes the dependent variable. Asking students to justify their decisions about which is which may help them think more thoroughly about the relationship.

Kevin: This is likely students' first experience with equations with two variables. Make sure students explicitly define what their variables of choice are representing in a given situation, and have them verbally describe the relationship that exists between them.

Megan: Spend time helping students see how each representation (equation, table, graph, words) shows the same relationship between two variables.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #5Standard Math Procedures

Instruction at a Glance

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Identify the dependent and independent variables.

Write equation representing the relationship.

Dependent: Price customers will pay (d)

d = p – 10

d values are always 10 less than p values.

Independent: Original price of shirt (p)

2 Determine the relationship between p values and d values.

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SISTER ACTWhat equation should they enter into the Distometer?Ada and Renee convinced their dad to let them borrow the cruiser again. They are fl ying through space when the Distometer malfunctions...again! They know they can fi x the malfunction by entering the d = rt equation, but they must calculate their speed. The sisters decide to track their travel distance using the illuminator buoys out the window, and they note the time it takes to pass each one.

Use their data table to fi nd the equation they need to enter into the Distometer.

6.EE.C.9

Use variables to represent two quantities in a real world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at a constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

About this standard

Date PeriodName

MidSchoolMath Sister Act 1 of 2

What equation should Ada and Renee enter into the Distometer?

APPLYING THE STANDARD

A worker earns $17 per hour.

A turkey must be cooked at 325°F (160°C) for 20 minutes per pound.

1)

3)

A resort charges an hourly rate for skiing, plus $35 for ski rental. This table shows the total cost for skiing for diff erent numbers of hours.

2)

Write an equation that shows the relationship between the total cost (c) and the number of hours (h).

a)

Write an equation showing the relationship between the weight of the turkey (w) and the total time needed to cook it (t).

Complete the table and graph the data points. Be sure to give the graph a title, and include labels for the independent variable (x-axis) and dependent variable (y-axis).

Identify the independent variable: ______________________

Identify the dependent variable: ______________________

What is the independent variable? What is the dependent variable?

How much would it cost to rent skis and ski for 6 hours?

a)

a)

c)

b)

b)

b)

MidSchoolMath 2 of 2

Date PeriodName

How might this standard appear on a test?

Sister Act

1 2

Write an equation to show the relationship between the hours she works (h) and the amount she is paid (p).

Check out my worked example #1a

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