Lesson plan

3. Find vertical, complementary, and supplementary angles in word problems (A)

teaches Common Core State Standards CCSS.Math.Content.7.G.B.5 http://corestandards.org/Math/Content/7/G/B/5
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Connect their understanding of special angles formed by intersecting lines to street intersections on a town that they have designed.

This lesson provides an opportunity for students to apply their knowledge and understanding of supplementary, complementary, adjacent, and vertical angles to a mathematical situation. Students are asked to design their own city that illustrates streets that intersect to form special angles and then to locate buildings at points on the map where the angles form.

Key Concept students will use: 

  • Intersecting lines produce angles with important relationships, including supplementary angles, complementary angles, adjacent angles, and vertical angles.

Skills students will use:

  • Complementary angles are formed when two angles add to equal a right angle.
  • Supplementary angles are formed when two angles add to equal a straight angle.
  • Vertical angles are nonadjacent angles formed when two lines intersect.

Students engage in Mathematical Practice #5 (use appropriate tools strategically) as they use protractors and rulers to design their city and verify the measures of the angles formed at the intersections of two streets in their design.​

Key vocabulary: 

  • acute angle
  • adjacent angle
  • complementary angle
  • non-adjacent angle
  • obtuse angle
  • right angle
  • straight angle
  • supplementary angle
  • vertical angle

Special materials needed:

  • colored paper
  • colored pencils or markers
  • glue
  • protractor
  • ruler
  • scissors