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Surface area

0506.4.4 Solve problems involving surface area and volume of rectangular prisms and polyhedral solids. Surface area. Perimeter. Measure each side Add all the sides together. 13 cm. Remember it is not squared. P = 36 cm. 5 cm. Area. Area of rectangles, triangles, and parallelograms.

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Surface area

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  1. 0506.4.4 Solve problems involving surface area and volume of rectangular prisms and polyhedral solids. Surface area

  2. Perimeter • Measure each side • Add all the sides together 13 cm Remember it is not squared P = 36 cm 5 cm

  3. Area • Area of rectangles, triangles, and parallelograms. • Rectangles: A = l x w • Parallelograms: A = b x h • Triangles: A = ½ b x h

  4. Find the area A = l x w A = 13 x 5 A = 65 sq cm Remember it is squared 13 cm 5 cm

  5. Find the area 5 in 6 in 9 in A = 45 square in

  6. Remember the rectangle? A triangle is 1/2 5 in 3 in 3 in 5 in

  7. Find the area A = ½ b x h 6 in A = ½ x 7 in x 6 in 7 in A = 21 square in

  8. Surface area • Think back to all our 3D shapes (polyhedra) • Name a few

  9. faces • When finding the surface area of a figure, you must measure all faces. • You must know the length and width of each face. • Once you have found those lengths, you must then find the area. • Let’s take a look.

  10. Lets use a cube. What is a 2D representation of this cube?

  11. A net of a cube

  12. Surface Area • If you add together all of the areas from the faces of a 3-D shape, then the total is the surface area. It is the total amount of space needed to cover the outer surface of the shape. This is a property of 3-D shapes, and you might have noticed it when you've tried to figure out how much wrapping paper to use to wrap a present.

  13. We must measure each side before we can find the surface area. Back to the cube Lets say each side measures 5 cm. So the area of one face is??? 25 sq cm What else to do we need to know? How many faces are there? 6 faces total, so… 6 x 25 = 150 sq cm

  14. Formula Surface Area Of Rectangles • (base x height + height x width + width x base) x 2 (b x h + h x w + w x b) x 2

  15. Textbook page • Do # 1-5 as group or on own. • HW- Wb page 205

  16. Crayon, color pencil boxes, or kleenex box. • You will measure the length and width of each face. (use sq cm) • Label it with a sharpie. • Find the area of each face and write the area in the center. • Write the sums of each down to find the surface area of the box. • Write this total on a sticky note. • Compare total with a partner. Add them

  17. 3 congruent faces… • Did anyone notice that there are 3 congruent faces?

  18. Workbook page 205 • Work with a partner

  19. 0506.4.4 Solve problems involving surface area and volume of rectangular prisms and polyhedral solids. Surface area

  20. Video • http://www.pearsonsuccessnet.com/snpapp/learn/navigateIDP.do?method=vlo&internalId=130511100000126

  21. Use the shape from last week. • Measure each side and find the surface area. (like the boxes yesterday) • Get with other students in the room with your shape. • Present to the class as a group how you found the surface area and what it is.

  22. Classwork/Homework • WB page 206 • Possibly assign project

  23. 0506.4.4 Solve problems involving surface area and volume of rectangular prisms and polyhedral solids. Surface area

  24. Video online • http://www.youtube.com/watch?v=rg936mmOE1k&feature=related • Walk through the steps

  25. Will need to stop and discuss • Smiley guy - http://www.youtube.com/watch?v=knlc6O6d8BU&NR=1&feature=endscreen Boy- • http://www.youtube.com/watch?v=dMUT-NY3gzM&feature=related

  26. Turn to page 328 in book • # 6-10 with a partner • HW – study guide • http://www.ixl.com/math/grade-5/surface-area • Questions for review if you have time.

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