2. GEOMETRY Measurement Terry Scates Newton, Kansas

3. Instructor Notes Subject Area(s): Special Education Resource Math Grade level: 7 th grade Lesson Length: 50 minute class period Synopsis: Solve for area of circles, triangles, and parallelograms. Objective/goals: Students will find the area formulas for circles, squares, rectangles, triangles, and parallelograms (2.4.K1h).

4. Kansas State Standard/Benchmark/Indicator; M.7.3.2.K4 Standard: Geometry Benchmark: Measurement and Estimation Indicator: Knows and uses perimeter and area formulas for circles, squares, rectangles, triangles, and parallelograms Explanation of Indicator Find perimeter (distance around the outside) and area (square units of space inside) of various shapes Pre-requisite skills: Vocabulary – Area, base, height, triangle, parallelogram, pi, radius, circle. TurningPoint functions: standard question slides Materials: All instructional points and practice problems are provided within the power point slides. Practice questions are designed to be used with the TurningPoint clickers. Instructor Notes

5. Lesson Outline 1.Warm-up: find area of basic shapes 2.Definitions / Key Concepts 3.Setting the Stage: Video lesson 4.Guided practice: Turning Point Questions 5.Independent practice: Paper & pencil 6.Closure: In the room find a triangle, a quadrilateral, or a circle. Using a ruler, yard stick, or metric stick determine the area of the shape you find.

6. Area of a Parallelogram The area A of a parallelogram equals the product (product means multiply) of it’s base b and it’s height h. Area=base X height A=bh

7. The base is any side of a parallelogram. Base

8. The height is the length of the segment perpendicular to the base with endpoints on opposite sides. height

9. Find the area of this parallelogram 8in 11in a)19 in 2 b)44 in 2 c)88 in 2 Countdown 10

10. Answer The area A of a parallelogram equals the product (product means multiply) of it’s base b and it’s height h. Area=base X height A=bh or A=b X h A = 8(11) or A = 8 X 11 A = 88 in. 2

11. Area of a Triangle The area A of a triangle equals half (1/2) the product (product means multiply) of it’s base b and it’s height h. Area = ½ X b X h A=1/2bh

12. The height is the distance from a base to the opposite vertex.. height

13. The base of a triangle can be any of its sides. base

14. Find the area. 6in 10in a)30 in 2 b)60 in 2 c)120 in 2 Countdown 10

15. Answer The area A of a triangle equals half (1/2) The product (product means multiply) of it’s base b and it’s height h. Area = ½ X b X h or Area =.5 X b X h A=1/2bh or A=.5bh A = ½ (6)(10) or A =.5 X 6 X 10 A = ½ (60) or A =.5 X 60 A = 30 in. 2

16. Area of a Circle The area A of a circle equals the product (product means multiply) of pi ( π ) and the square of it’s radius r. Area = πr 2 (Pi = π = 3.14) A=3.14 X r 2 Radius

17. The radius r is the distance from the center to any point on the circle. radius

18. Find the area. (Use 3.14 for π) 10in a)62.8 in 2 b)314 in 2 c)31.4 in 2 Countdown 10

19. Answer The area A of a circle equals the product (product means multiply) of pi ( π ) and the square of it’s radius r. Area = π r 2 A=3.14 X r 2 A = 3.14 (10) 2 A = 3.14 (100) A = 314 in. 2

20. Closure / Summary In the room find a triangle, a quadrilateral, or a circle. Using a ruler, yard stick, or metric stick determine the area of the shape you find.

21. References Glencoe McGraw-Hill Math Connects Course 2, Study Guide and Intervention and Practice Workbook, 2008. Wiens, James, Composite Areas, PowerPoint presentation, December 2008.