MidSchoolMath 1 Exploring nets and surface area helps students develop a better understanding of the three-dimensional world we all live in. In Build a Better Box, Shaquille is explaining to his new employee, Asha, how important it is to create packaging that uses the least amount of natural resources possible. Shaquille assigns Asha to figure out how many trees they will need to use in order to ful- fill an upcoming order. The data provided is the order form, which states the amount and size of the items to be packaged and shipped. LESSON: BUILD A BETTER BOX How many trees will they need to fulfill the order? Build a Better Box Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real world and mathematical problems. The Math Simulator TM Immersion Play Build a Better Box Immersion video, whole-class. Restate the question: How many trees will they need to fulfill the order? 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 Build a Better Box 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.G.A.4 Geometry
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MidSchoolMath 1
Exploring nets and surface area helps students develop a better understanding of the three-dimensional world we all live in. In Build a Better Box, Shaquille is explaining to his new employee, Asha, how important it is to create packaging that uses the least amount of natural resources possible. Shaquille assigns Asha to figure out how many trees they will need to use in order to ful-fill an upcoming order. The data provided is the order form, which states the amount and size of the items to be packaged and shipped.
LESSON: BUILD A BETTER BOXHow many trees will they need to fulfill the order?
Build a Better Box
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real world and mathematical problems.
The Math SimulatorTM
ImmersionPlay Build a Better Box Immersion video, whole-class. Restate the question: How many trees will they need to fulfill the order?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 Build a Better Box 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.)
6.G.A.4Geometry
Clicker QuizLaunch the Clicker Quiz, whole-class.
MidSchoolMath 2Build a Better Box
6.G.A.4Geometry
Gladys: Consider having students color-code nets to indicate faces that are congruent. This may make their surface area calculations more efficient.
Kevin: Provide students practice with naming the number of faces on various figures that are not in net form. They need this skill to master the concept of surface area.
Megan: Many students will automatically think "volume" when faced with a 3-D image, so it is critical that they see many examples (especially physical examples) of both surface area and volume applications to begin to internalize the difference.
30 + 40 + 24 = 94 sq cm2 Find the sum of all areas.
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BUILD A BETTER BOXHow many trees will they need to fulfi ll the order?
6.G.A.4
Represent three-dimensional fi gures using nets made up of rectangles and triangles, and use the nets to fi nd the surface area of these fi gures. Apply these techniques in the context of solving real world and mathematical problems.
About this standard
Date PeriodName
MidSchoolMath Build a Better Box 1 of 2
They will need ________ trees to fulfi ll the order.
Now that Asha is getting the hang of her new job at Build a Bet-ter Box, Shaquille has given her another assignment. Below is the order form for another order that will need to be fulfi lled in the next week.
Help Asha draw the net and fi nd out how many trees they will need to fulfi ll the new order.
APPLYING THE STANDARD
Match each prism or pyramid to the corresponding net.
Find the surface area of each fi gure.
1)
4)
a)
2)
5)
b)
MidSchoolMath Build a Better Box 2 of 2
Date PeriodName
How might this standard appear on a test?
Fredrick works at a factory that makes wooden building blocks for kids. Each block is painted a bright color. Fredrick’s job is to make sure the factory always orders enough paint to keep production running smoothly. How much paint does the factory use each day?
