MidSchoolMath 1 Applying properties of operations encourages critical and logical thinking in mathematics and develops these thinking skills for use in the future. In Mathmalian Logic, Lumi and Dalek are traveling to Earth which will be their new home. They are planning on purchasing two adjacent lots and want to make sure they are not overpaying. When discussing how to determine the cost, they disagree over the method to use to first determine the total area of the lots. The data provided are an aerial shot of the lots and a still image of Lumi and Dalek with conversation bubbles stating each of their methods. LESSON: MATHMALIAN LOGIC Whose method is correct and why? Mathmalian Logic Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. The Math Simulator TM Immersion Play Mathmalian Logic Immersion video, whole-class. Restate the question: Whose method is correct and why? Facilitate classroom discussion; ask students: "What are your ideas?" • • • 1 2 Data & Computation Print the Data Artifact, cut into halves, 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 Mathmalian Logic 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.) 7.EE.A.1 Expressions & Equations
Transcript
MidSchoolMath 1
Applying properties of operations encourages critical and logical thinking in mathematics and develops these thinking skills for use in the future. In Mathmalian Logic, Lumi and Dalek are traveling to Earth which will be their new home. They are planning on purchasing two adjacent lots and want to make sure they are not overpaying. When discussing how to determine the cost, they disagree over the method to use to first determine the total area of the lots. The data provided are an aerial shot of the lots and a still image of Lumi and Dalek with conversation bubbles stating each of their methods.
LESSON: MATHMALIAN LOGICWhose method is correct and why?
Mathmalian Logic
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
The Math SimulatorTM
ImmersionPlay Mathmalian Logic Immersion video, whole-class. Restate the question: Whose method is correct and why?Facilitate classroom discussion; ask students: "What are your ideas?"
•
••
1
2 Data & ComputationPrint the Data Artifact, cut into halves, 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 PlanAvailable on the Teacher Dashboard
3 ResolutionPlay Mathmalian Logic Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).
••
+ 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.
•
•
••
(Use student headphones.)
7.EE.A.1Expressions & Equations
MidSchoolMath 2Mathmalian Logic
7.EE.A.1Expressions & Equations
Clicker QuizLaunch the Clicker Quiz, whole-class.
Gladys: Remind students that order of op-erations must still be followed, even when variables are involved.
Kevin: Encourage students to pay close attention to their signs when simplifying expressions, especially when they are dis-tributing a negative factor. Students should double-check their work and/or confirm their answers with a classmate or two.
Megan: As you model examples, help stu-dents remain aware of the usefulness of the properties of operations by continuing to indicate when a property is applied, even if it is subtle.
KevinSimpson
GladysGraham
MeganLeBleu
Ex. Clicker Quiz #4Standard Math Procedures
Instruction at a Glance
1 Simplify by applying the distributive property.
-8x + 6y + (-2.5x) + 5y – 5
-10.5x + 11y – 5
2 Combine like terms by applying the commutative property.
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MATHMALIAN LOGICWhose method is correct and why?
Mathmalians Lumi and Dalek are working to purchase two lots on Earth. They have just decided on their lots and now wish to calculate the total cost of the lots. The price per yard is p dollars. As always, they each have a diff erent idea on how to calculate the cost.
Lumi wants to use the following method to determine total cost: 70(x + y)p.
Dalek wants to use the following method to determine total cost: 70xp + 70yp.
Determine whose method is correct and explain your reasoning
7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coeffi cients.
About this standard
Date PeriodName
MidSchoolMath Mathmalian Logic 1 of 2
APPLYING THE STANDARD
Simplify each expression. Combine all like terms when possible.1)
For which value of m would Expression 2 be equivalent to Expression 1?2)
Circle the expressions that are factors of 35xy – 15xy + 25xyz.
3)
Add 8 to n, triple the result, then subtract one from that result.
a)
Determine if these two expressions are equivalent. Explain your reasoning.c)
Add 8 to n, subtract the result from 1, then triple that result.
b)Write a mathematical expression for each verbal description.5)
Write an equivalent expression for the following: 3(2x – 3) + 4(3x + 2)
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