District 11 Division of Operations & Instruction
Mathematics

 

Grade 8, November Unit  (@ 20 days)

Overview                                                                              
During the next 4 weeks, 8th graders will be able to find the volume and surface area of figures in order to calculate how much a cylinder and a box will hold or how much paint is need to paint a building or car.  Pay close attention to the Essential Questions. You may be asked to answer the questions at the end of this unit.

 

Daily Lessons 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20


Enduring Understandings - important ideas that students should carry with them years beyond the instruction received this year.

  • Geometry builds our world.

  • Geometry issued to solve problems.

  • Geometry connects us to the real world.

  • Geometry is used to solve problems.

  • Units matter.

  • Measurements are used to compare.

  • Scale matters.

  • Formulas are used in the real world.

  • Dimensional change affects geometry.

Essential Questions - most important “big picture” questions students should be able to answer after completing learning activities.

  • How do you apply the attributes of two and three dimensional shapes?

  • How do you decide which mathematical strategy to use when solving problems involving ratios, proportions, and similarities?

  • How would you solve problems in real-world situations using coordinate geometry?

  • How do you determine which strategy to use when solving problems involving perimeter, area, surface area, and volume?

  • How can figures be transformed to determine congruency?

  • When do you solve problems applying line and rotational symmetry?

  • How do you select and apply the appropriate units of measure?

  • How is measurement used to describe and make comparisons?

  • How would you read and interpret scales in a variety of visual representations?

  • How would you develop and use formulas and procedures to solve problems involving measurement?

  • How does changing dimensions affect the characteristics of two- and three- dimensional figures?

Standards Highest Frequency High Frequency Other Standards and E-Skills

Standard 4: (Geometry) Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems. 
4.5 Use formulas and solve problems with area, perimeter, surface area, and volume of right prisms and cylinders
4.6 Reflect, translate and rotate figures on a coordinate grid.
4.6 Identify line and rotational symmetry
4.2 Describe attributes of 2 and 3 dimensional figures

Standard 5: (Measurement) Students use a variety of tools and techniques to measure, apply the results in problem-solving situations, and communicate the reasoning involved in solving these problems.
5.4 Use formulas and solve problems with area, perimeter, surface area, and volume of right prisms and cylinders
5.5 Describe how changes in linear dimensions affect area, perimeter, surface area, and volume.

Lesson 1:  
Duration: @ 1 class period

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Lesson 2:  
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Lesson 3:  
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Lesson 4:  
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Lesson 5:  
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Lesson 7:  
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Lesson 8:  
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Lesson 9:  
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Lesson 10:  
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Lesson 11:  
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Lesson 12:  
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Lesson 16:  
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Lesson 17:  
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Lesson 18:  
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Lesson 19:  
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Lesson 20:  
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