Geometry

Lesson 12

Math

Unit 6

7th Grade

Lesson 12 of 21

Objective


Draw two-dimensional geometric shapes using rulers, protractors, and compasses.

Common Core Standards


Core Standards

  • 7.G.A.2 — Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
  • 7.G.B.5 — Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Foundational Standards

  • 4.MD.C.6

Criteria for Success


  1. Use a protractor to draw angles of given measures and determine measurements of drawn angles.
  2. Use a compass to draw circles with given measurements.
  3. Understand that more than one quadrilateral can be formed using the same set of side lengths. 

Tips for Teachers


Provide students with the tools at the beginning of the class, and discuss which tools are needed for each problem (MP.5). 

Lesson Materials

  • 180° Protractor (1 per student)
  • Compass (1 per student)
  • Ruler (1 per student)
  • Blank Paper (2-3 sheets per student)
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Anchor Problems

25-30 minutes


Problem 1

Draw vertical angles so that one angle is 125°. Label each angle formed with its measurement.  

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 7 Mathematics > Module 6 > Topic B > Lesson 6Exploratory Challenge #3

Grade 7 Mathematics > Module 6 > Topic B > Lesson 6 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Problem 2

Draw a rectangle with dimensions 3 inches × 5 inches.

Can you draw a different quadrilateral with side lengths 3 in., 3 in., 5 in., and 5 in.? If so, draw the shape and name it. 

Guiding Questions

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Student Response

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Problem 3

Draw a segment $${AB}$$ that measures 3 cm. Use a compass to construct two circles:

  • a circle with center $$A$$ and radius $${AB}$$
  • a circle with center $$B$$ and radius $$BA$$

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 7 Mathematics > Module 6 > Topic B > Lesson 6Exploratory Challenge #8

Grade 7 Mathematics > Module 6 > Topic B > Lesson 6 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem 4

A triangle has an angle measure of 50°. The two side lengths that form this angle are $$3$$ inches and $$4\frac{1}{2}$$ inches long. 

Draw the triangle described above. Then determine the measure of the third side and the other two angles.   

Guiding Questions

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Student Response

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Problem Set

15-20 minutes


Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task

5-10 minutes


Problem 1

Draw a square with side lengths equal to 4 inches. Label your square $$ABCD$$.

Student Response

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Problem 2

Draw a circle with center at point $$E$$ and a diameter of 8 cm. Draw and label the diameter as line segment $$FG$$.

Student Response

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Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

  • Include examples of triangle constructions with angle measurements, including both angle measurements that make a triangle and those that do not add up to 180°. 

Next

Determine if three side lengths will create a unique triangle or no triangle.

Lesson 13
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Angle Relationships

Topic B: Circles

Topic C: Building Polygons and Triangles

Topic D: Solid Figures

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