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Geometry Lessons

Dive into the world of trapezoids and quadrilaterals with this lesson. Learn how to find the area of a trapezoid using formulas and practical examples. Practice calculating areas to master your skills!

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Geometry Lessons

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  1. Geometry Lessons Trapezoids Lesson

  2. Quadrilateral … 4-sided shape Launch PARALLELOGRAM How would you find the AREA of this 4-sided shape? Area = base x height What kind of quadrilateral is shown here? h = 8 b = 12 Agenda

  3. Quadrilateral … 4-sided shape Launch TRAPEZOID What kind of quadrilateral is shown here? How would you find the AREA of this 4-sided shape? Can I use Area = base x height??? Agenda

  4. Mini-Lesson The formula for the Area of a Trapezoid is… A = (b1+b2) x h 2 b2 height or h b1 Agenda

  5. A = (b1+b2) x h 2 Let’s Test it out using the Trapezoids from the Explore… A = (8+4) x 2 2 A = (12) x 2 2 It works! A = 6 x 2 = 12 sq. units b2 = 4 Trapezoid A h = 2 b1 = 8 Agenda

  6. A = (b1+b2) x h 2 Let’s try the formula again… A = (10+6) x 3 2 A = (16) x 3 2 Trapezoid B A = 8 x 3 A = 24 sq. units b2 = 6 h = 3 It works! b1 = 10 Agenda

  7. So, this part of the formula means…. we take the AVERAGE of the base lengths, then multiply by the height to get the Area of a Trapezoid! Agenda

  8. Practice #1 A = (b1+b2) x h 2 A = (9+5) x 4 2 b2 = 5 A = (14) x 4 2 h = 4 A = 7 x 4 = 28 sq. units b1 = 9 Agenda

  9. Practice #2 Now you try one… A = (b1+b2) x h 2 b2 = 3 A = (9+3) x 10 2 A = (12) x 10 2 h = 10 A = 6 x 10 = 60 sq. units b1 = 9 Agenda

  10. Practice #3 Let’s try another one together, but make it a little more interesting! A = (b1+b2) x h 2 Edward wants make a curtain for his living room window so he can sit in the dark and think of ways to get rid of Jacob! Calculate the area so that she knows how much fabric to buy. b2 = 4 ft A = (2+4) x 7 2 A = (6) x 7 2 h = 7 ft A = 3 x 7 = 21 ft2 b1 = 2 ft Agenda

  11. Practice #4 Now you try another one… A = (b1+b2) x h 2 Brian is getting a custom sticker to completely cover the back of his guitar. How much space will it take up? A =(18+12) x 40 2 A = (30) x 40 2 b2 = 12 in A = 15 x 40 = 600 in2 h = 40 in Agenda b1 = 18 in

  12. Assessment Agenda

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