District 11 Division of Operations & Instruction
Mathematics





Grade 7, December Unit (@ 15 days)

Overview                                                                              
During the last 3 weeks of quarter 2, 7th graders will explore where geometry is used in the real world.  The area of a room will be calculated in order to buy new carpet.  The surface area of a barn will be found so that the farmer can buy enough paint to cover the outside of his/her barn. 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


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

  • Geometry builds our world.

  • Geometry is used to solve problems.

  • Measurements are used to compare: 

  • Units matter

  • Measurements are used to compare.

  • Formulas are used in the real world.

  • Dimensional change affects geometry.

  • Measurement matters.

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

  • How do you use the attributes of two- or three- dimensional shapes?

  • How would you solve problems involving circumference?

  • How would you solve problems involving area?

  • How would you solve problems involving surface area?

  • How would you transform figures to determine congruency?

  • How do you choose the appropriate units of measure?

  • How do you use measurements to make comparisons?

  • How would you decide which procedure and formula to use to solve area problems?

  • How does dimensional change affect the attributes of a polygon?

  • How do you choose appropriate units and tools to create congruent 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. 
 4.5b Solve problems involving area of circles, triangles, and parallelograms
 4.5c Solve problems involving surface area of rectangular prisms
 4.6a Reflect, translate, and rotate figures to determine congruency

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.
 5.4a Solve problems involving area of trapezoids, regular hexagons, and regular octagons
 5.5a Compare measurements of figures before and after dimensional change 

Lesson 1:  
Duration: @ 1 class period

Standard information #: 
District Indicator: 
Enduring Understanding: 
Essential Questions: 
Assessment: 

Activities

 

Differentiation
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Lesson 2:  
Duration: @ 1 class period

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Lesson 3:  
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Lesson 4:  
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Lesson 5:  
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Lesson 6:  
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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 13:  
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Lesson 14:  
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Lesson 15:  
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Lesson 16:  
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Lesson 17:  
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Lesson 18:  
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Lesson 19:  
Duration: @ 1 class period

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Lesson 20:  
Duration: @ 1 class period

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