Lesson 6

Walking Around Shapes

Est. Class Sessions: 3

Summarizing the Lesson

Upon completion of Walking Around Hexagons pages, ask students to share a variety of solution strategies.

  • How did you find the perimeter of a regular hexagon with a side length of 12 centimeters (Question 6B)? (Strategies will vary. Possible response: The numbers on the horizontal axis did not go to 12 centimeters in length on the graph. I found that the side length of 6 centimeters has a perimeter of 36 centimeters. 6 doubled is 12, so 36 centimeters doubled is 72 centimeters.)
  • Solve the problem another way. (Strategies will vary. Possible response: 12 cm × 6 sides = 10 × 6 + 2 × 6. 60 + 12 = 72 centimeters.)
  • How did you find the side length of a regular hexagon with a perimeter of 54 centimeters (Question 7)? (Strategies will vary. Possible response: I reasoned from a known fact. I knew a hexagon had 6 sides. I knew 6 × 9 = 54, so 54 cm ÷ 6 sides = a side length of 9 centimeters.)
  • How are the number of sides, the side length, and the perimeter of a regular shape related? (Possible response: Number of sides × side length = perimeter of a regular shape. If you know two of the three properties of a regular shape, you can figure out the third.)
  • How do you like to find the perimeter of a regular shape?
  • Which is the most efficient way?

Distribute and assign the Professor Peabody's Shapes Data Assessment Master.

Use the Professor Peabody's Shapes Data Assessment Master to assess students' abilities to:

  • Identify multiplicative patterns in tables, graphs, and number sentences [E1].
  • Represent multiplicative patterns in tables and graphs [E2].
  • Use mental math strategies to multiply and divide [E3].
  • Represent solution strategies for multiplication and division problems using a table and number sentences [E4, E5].
  • Read a table or point graph [E7].