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Triangle Area Decomposition Activity

In this activity, students will decompose shapes into triangles or other quadrilaterals to find the area of a trapezoid. They will also decompose rectangles to determine the area of other quadrilaterals. The objective is for students to solve real-world problems with at least 80% accuracy.

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Triangle Area Decomposition Activity

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  1. ACTIVATOR 1. Pick up a white board and marker. Find the area of this triangle on the white board. (-1, 9) (7, 2) (-1, 2)

  2. OBJECTIVE(S): • I will be able to: • Decompose shapes into triangles or other quadrilaterals • So that I can: • Find the area for a trapezoidby decomposing into two triangles. • Decompose rectangles to determine the area of other quadrilaterals. • I will demonstrate my understandingby solving at least 3 out of 5 real world problems independently or with a partner with at least 80% accuracy. “break into pieces” “a 4-side shape” 6.G.A.1

  3. Language objective • By the end of the of the lesson, students will be able to use the language domains of reading and writing to communicate the academic math language of geometric shapes and sizes. • They will verbally communicate and break into pieces (decompose) shapes into triangles or other quadrilateral in order to solve the areas of trapezoids and quadrilaterals. • They will show their understanding by solving at least 3 out of 5 real world problems independently or with a partner with at least 80% accuracy. • Academic Math Language Vocabulary: triangle, quadrilateral, trapezoid, decompose

  4. What do I mean…

  5. https://www.youtube.com/watch?v=lx8vweYTPpg

  6. decomposing….. break apart Page 22 #2 I do… 5.6 + 1.9 = ? 7.5= ? ? Total Polygon: 47.59 sq. cm Rectangle ABEF 7.5 * 4.8 = 36 4.8 5.6 10.9 ? 4.8 + ? = 10.9 Rectangle BCDE 1.9 * 6.1= 11.59 6.1 ? = 6.1 1.9

  7. How do you feel? topic.

  8. We do #4 pg. 23 Let’s look at it as a rectangle and taking away 2 triangles. Rectangle: A=bh A= 18(12) A= 216 meters2 Triangle: A= ½ bh h=12 b= (18-3)/2 b= 7.5 A=1/2 (7.5)(12) A=6(7.5) A=45 meters2 but I have 2 triangles… Trapezoid: A=216-45-45 A=126 meters2

  9. How do you feel? topic.

  10. You do… Pgs. 22 #s 1 and 3 Pg. 23 #5 Pg. 24 #6

  11. Page 22 #3

  12. How do you feel? topic.

  13. Page 23 #5

  14. Page 24

  15. How do you feel? topic.

  16. Ticket-to-go • Pick up sheet • Solve (check w/ neighbor) • Pass in BEFORE leaving class Page 20 and pg. 21 (all)

  17. Accommodations • Read or reread presentation or activity directions, as needed or after prompting • Use examples to model and act as a guide for emerging learners

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