Expressions & Equations 6.EE.B SAY CHEESE! How much should Farmer Jean charge for her goat cheese?...

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Transcript of Expressions & Equations 6.EE.B SAY CHEESE! How much should Farmer Jean charge for her goat cheese?...

  • MidSchoolMath 1

    A helpful strategy in getting students to understand that a variable can stand for one or many numbers is having them evaluate equations or inequalities for varying values. During Say Cheese!, Farmer Jean is trying to determine what price she should charge for the goat cheese she and her cute little goats have made. She doesn’t want to overcharge, yet she wants to charge enough to cover her farming expenses. Farmer Jean creates an inequality and has several possible prices that she wants to check. The goats put in their two cents as well. The data provided is Farmer Jean’s notebook containing the inequality as well as the prices she is considering.

    LESSON: SAY CHEESE! How much should Farmer Jean charge for her goat cheese?

    Say Cheese!

    Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

    The Math SimulatorTM

    Immersion Play Say Cheese! Immersion video, whole-class. Restate the question: How much should Farmer Jean charge for her goat cheese? Facilitate classroom discussion; ask students: "What do we need to know?"

    1

    2 Data & Computation Print 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.

    Download the Detailed Lesson Plan Available on the Teacher Dashboard

    3 Resolution Play Say Cheese! Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).

    • •

    + Simulation Trainer Assign 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.

    • •

    (Use student headphones.)

    6.EE.B.5Expressions & Equations

  • MidSchoolMath Say Cheese!

    Clicker Quiz Launch the Clicker Quiz, whole-class.

    6.EE.B.5Expressions & Equations

    2

    Gladys: It's not uncommon for students to confuse expressions and inequalities. Facilitate a classroom discussion to address their differences and strategies for correctly identifying them.

    Kevin: Note that this standard does not call for students to formally solve inequalities and equations. They are learning what a solution is and that solving means finding solutions.

    Megan: If the opportunity arises, plant the seed in students' minds that there are equa- tions and inequalities that have no solution. They will face this formally in future grades.

    Kevin Simpson

    Gladys Graham

    Megan LeBleu

    Ex. Clicker Quiz #3 Standard Math Procedures

    Instruction at a Glance

    1 Substitute each value for g. A: 2(3 • 12 – 4) ≥ 22

    A: 64 ≥ 22

    C: 2(3 • 30 – 4) ≥ 22

    C: 172 ≥ 22

    D: 2(3 • 10 – 4) ≥ 22

    D: 52 ≥ 22

    E: All of the above

    B: 2(3 • 5 – 4) ≥ 22

    B: 22 ≥ 22

    2

    3

    Evaluate the left side for each inequality.

    Select correct option.

    Evaluate the left side for each inequality.

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  • SAY CHEESE! How much should Farmer Jean charge for her goat cheese? Farmer Jean and her cute little goats make and sell tasty goat cheese. Farmer Jean wants to keep the price low so many people can enjoy the cheese, yet needs to make enough to cover the weekly farm expenses.

    Inequalities help her determine the perfect cost for her cheese. (The goats think they help, too.) Farmer Jean is considering several diff erent price options.

    Use the information in her notebook to determine which price is best.

    6.EE.B.5

    Understand solving an equation or inequality as a process of answering a question: which values from a specifi ed set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specifi ed set makes an equation or inequality true.

    About this standard

    Date PeriodName

    MidSchoolMath Say Cheese! 1 of 2

    Farmer Jean should charge ____________ for her goat cheese.

  • APPLYING THE STANDARD

    Evaluate each equation or inequality by substituting each value for n. Write TRUE or FALSE.

    Circle each solution that satisfi es the inequality or equation.

    1)

    MidSchoolMath Say Cheese! 2 of 2

    Date PeriodName

    How might this standard appear on a test?

    Iliana spent $180 on clothes for school. She bought a pair of jeans for $72 and spent the rest on t-shirts. Each t-shirt costs $12. This equation represents Iliana’s spending for the day:

    Did Iliana buy 7, 8, 9, or 10 shirts?

    72 + 12x = 180; x = number of t-shirts

    8)

    Write an equation that would have one solution: x = 12.

    6) Write an inequality that would have infi nite solutions: x ≥ 6.

    7)

    8e + 6 < 912)

    A. 11

    B. 9

    C. 13

    D. 10

    54 – 2e ≥ 303)

    A. 0

    B. 4

    C. 12

    D. 15

    16 + 3e = 614)

    A. 10

    B. 15

    C. 7

    D. 17

    9 < e + 25)

    A. 36

    B. 20

    C. 24

    D. 40

    1 4

    Check out my worked example #2

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