District 11 Division of Operations & Instruction
Mathematics





Grade 7, November Unit  (@ 20 days)

Overview                                                                              
During the next four weeks of quarter two, 7th graders will investigate how to describe different geometric shapes by understanding the vocabulary used to define each shape. Circumference will be used to find a box design that holds 4 doughnuts and is cost effective. 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.

  • Numbers can be represented, ordered, and communicated in many different forms.

  • Numbers have characteristics.

  • Solutions must be reasonable.

  • Algebra is a language.

  • 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.

  • What are different representations of equivalent numbers?

  • Why do we need to represent order and/or communicate numbers?

  • When should you use a number line?

  • What are characteristics of numbers?

  • When is the "correct "answer not the best solutions?

  • How would you analyze the data and determine the rule from a table and/or graph?

  • 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 1:  (Number Sense) Students develop number sense and use numbers and number relationships in problem solving situations and communicate the reasoning in solving these problems.
 1.3a Describe numbers such as composites, primes, factors, divisibility, and squares

Standard 2: (Algebra) Students use algebraic methods to explore, model and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.
 2.1a Recognize and use geometric patterns to solve a problem

Standard 4: (Geometry) Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems. 
 4.2a Describe attributes of two and three dimensional figures (angles, vertices, relationship of opposite sides)
 Review perimeter of geometric figures
4.5a Find circumference of a circle

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.
 5.1 Estimate area of irregular shapes

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 19:  
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Lesson 20:  
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