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Math 10 A&W – Class Starter

Math 10 A&W – Class Starter. Please hand in your Surface Area of 3D objects worksheets at the front of the class Find a partner and sit next to your partner at a table. Answering Word Problems. Ask yourself the following question :

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Math 10 A&W – Class Starter

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  1. Math 10 A&W – Class Starter • Please hand in your Surface Area of 3D objects worksheets at the front of the class • Find a partner and sit next to your partner at a table

  2. Answering Word Problems Ask yourself the following question: • What approach do I take to answering a word problem in math class? • Discuss the question with your partner, in 3 minutes I will ask you to share your approach with the class. • Ex: I read the question at LEAST twice before starting the problem

  3. Answering Word Problems • With your partner, come to the front board and share your strategies to answering word problems • If you agree with another group, write your initials next to other strategies

  4. Questions to Ask yourself • What is the question asking me to do? • What information is the question giving me? • Is all the information I’m given relevant? • What approach/strategy should I take to find an answer? • Is there anything in my data booklet that could help?

  5. Word Problems Practice • Take out your Data Booklet and collect a ruler, calculator and at least 2 pieces of paper • One partner will sit facing the board the other with their back to the board (do not turn to face the projection at any time) • The partner facing the board will use verbal cues to guide his/her partner • The partner facing the board is NOT allowed to write or use ANY visual cues (i.e. pointing) • The with the back to the board will solve the problem with the guidance of their partner

  6. Easy to Hard • We will start nice and easy… • Please start by drawing the object • Please show ALL work and calculations

  7. Partner 1 Find the perimeter of a rectangle with a length of 5 m and a width of 8 m. P = 5m + 5m + 8m + 8m = 26m

  8. Partner 2 Find the circumference of a circle with a radius of 2 m’s. C = π x 2 x r C = π x 2 x 2m = 12.6m

  9. SWITCH

  10. Partner 1 What is the area of a rectangle with perimeter 177.6 mm and base length 39.9 mm? P = 2 x W + 2 x L W = 48.9 mm A = W x L A = 48.9 mm x 39.9 mm =1951.1 mm

  11. Partner 2 If the base of a rectangle is 22 cm and the area is 484 cm2 , what is the height of the rectangle? A = b x h ÷ 2 H = A x 2 ÷ b H = 484 cm2 x 2 ÷ 22 cm = 44 cm

  12. SWITCH

  13. Partner 1 Find the area of a pie that measures 20 cm’s from one side of the pie through the middle to the other side. r = D ÷ 2 R = 20 cm ÷ 2 = 10 cm A = π x r2 = π x (10 cm)2 = 314.2 cm2

  14. Partner 2 Find the 2-D area of Ancient Redwood tree stump that measures 3.14 m around the stump. C = 3.14 m r = C ÷ (2 x π) = 3.14 m ÷ (2 x π) = 0.5 m A = π x r2 = π x (0.5 cm)2 = 0.8 cm2

  15. SWITCH

  16. Partner 1 Find the surface area of the cinder-cone volcano shown to the right. Ans: 35.9 mi2

  17. Partner 2 The local college has a greenhouse that is shaped like a square pyramid, as shown below. The lateral faces of the greenhouse are made of glass. Find the surface area of the glass on the greenhouse. Ans: 297 m2

  18. SWITCH

  19. Partner 1 The top and sides of the cake shown below are to be covered in frosting. Calculate the area that will be covered with frosting. Ans: 192 in2

  20. Partner 2 Phil is planning to shingle the triangular roof on his barn shown below. How many square feet will he be shingling? Ans: 2918.4 ft2

  21. SWITCH

  22. Partner 1 The top of a costume hat is shaped like a triangular pyramid, as shown below. How much black felt is needed to cover the sides of the pyramid? Ans: 148.5 in2

  23. Partner 2 When the butterfly net shown below is fully extended, it forms the shape of a cone with a diameter of 12 inches and a slant height of 26 inches. Calculate the amount of mesh material needed to make the butterfly net. (note: the opening of the cone does not require mesh. Ans: 490.0 in2

  24. SWITCH

  25. Partner 1 Jim has been hired to make a jewelry box. If the box is 12 inches long, 6 inches deep and 9 inches tall, how much veneer will it take to cover the all the exterior except the base, assuming no waste. Ans: 396.0 in2

  26. Partner 2 A rectangular pyramid in Egypt has a base of 80 meters, a height of 60 meters and a slant height of 72 meters. What is the surface area of the pyramid assuming it was floating about the ground! Ans: 12240 m2

  27. Challenging 3D Objects • Collect the Worksheet for Challenging 3D Objects • Find the Surface Area (Area of surface exposed) • I will collect this at the end of class and you will be allowed time to work through the problems next class

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