Picture Perfect Geometry

This lesson is one part of a larger unit plan that covers all the properties of triangles and several other theorems.  It has proofs, real world problems, constructions, a unit project, assessments, and more.  In Lesson 3, “Picture Perfect Geometry”. students review Geometry vocabulary by producing a booklet of terms with associated real world pictures.  The entire unit plan can be found hereThis lesson is the beginning of the Unit Project, but could be adapted to use independently.

Standards & Objectives

Academic standards
CLE 3108.1.1
Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.
CLE 3108.1.4
Move flexibly between multiple representations (contextual, physical written, verbal, iconic/pictorial, graphical, tabular, and symbolic), to solve problems, to...
CLE 3108.1.6
Employ reading and writing to recognize the major themes of mathematical processes, the historical development of mathematics, and the connections between...
 
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Essential and guiding questions: 

From Lesson 1:

  • What is the big deal about good definitions?
  • Are there limits to Geometry?
  • How do the properties of one-dimensional figures influence their use?
  • Can everything be defined?

 
From Lesson 2: 

  • What makes a definition good?
  • Why is it important to have a good  definition for angles and angle pairs?
  • What are the limits of geometrical representations and modeling?

Lesson Variations

Blooms taxonomy level: 
Applying

Helpful Hints

Materials:

  • Paper
  • Construction Paper
  • Magazines
  • Computers with Internet Access
  • Glue
  • Markers
  • Highlighters
  • Scissors

References

Contributors: