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Weekly Math Class Notes (3/3/14 - 3/7/14)

These class notes summarize the activities and topics covered in Ms. Lonsdale's 7th-grade math class for the week of March 3rd to March 7th, 2014. Students were informed of no homework for the week and introduced to surface area and volume calculations for various geometric shapes, including cubes, pyramids, and cylinders. Key concepts like area formulas and surface area calculations were reinforced with examples and exit tickets. Fun factoids and bellwork exercises were also incorporated to engage students.

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Weekly Math Class Notes (3/3/14 - 3/7/14)

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  1. Ms. lonsdale’s 7th grade math class Notes for the week of 3-3-14 to 3-7-14

  2. Homeroom Read SILENTLY until class begins!!

  3. Announcements • No homework this week! (work on make-up work/extra credit!) • Make-up tests/extra credit for tests will be available after 2nd period TODAY!

  4. Random Factoid A person’s left hand does 56% of typing.

  5. Tuesday, 3-4-14 Bellwork What figure can be formed using the figures shown? a) Cube b) Pentagonal Pyramid c) Hexagonal Prism d) Pentagonal Prism

  6. See It Triangle: A = ½bh A = ½ (8)(6) A = ½ (48) A = 24 ft2 Triangle: A = 24 ft2 Rectangle: A = bh A = (14)(8) A = 112 ft2 Rectangle: A = 112 ft2 Rectangle: A = 112 ft2 SA = 24 + 24 + 112 + 112 + 112 SA = 384ft2 • To find surface area, find the area of each side and add your answers up. 8 ft 6 ft 14 ft 8 ft 8 ft 6 ft 14 ft

  7. See It Base: 1 Square A = bh A = (8)(8) A = 64 ft2 Face: triangle A = ½bh A = ½(8)(10) A = 40 • Find the surface area of the following shape: There are 4 equal faces! Just multiply that number by 4 to cover all faces! 10 ft 10 ft 8 ft 8 ft SA = Base Area + Face Area x 4 SA = 64 + 40 x 4 SA = 64 + 160 SA = 224 ft2

  8. 6 ft 4 ft 12 ft 6 ft

  9. 12 9 9

  10. See It – Triangular Pyramid 15 12 10 x 3 = +

  11. Work It • Find the surface area of each pyramid! • Do not use the lateral height that goes inside the pyramid, only the measurements on the outside.

  12. Exit Ticket • How would you find the surface area of this prism? 9 ft 6 ft 16 ft 9 ft

  13. Homeroom Read SILENTLY until class begins!!

  14. Wednesday, 3-5-14 Bellwork • What is the surface area of the pyramid below? 8 ft 8 ft 5 ft 5 ft

  15. announcements • No homework! (4 days until the end of the term!)

  16. Random Factoid Earthworms have five hearts!

  17. $0.23 $0.24

  18. $0.23 x 1,000,000 = $0.24 x 1,000,000 =

  19. $0.23 x 1,000,000 = $230,000 $0.24 x 1,000,000 = $240,000

  20. $0.23 x 1,000,000 = $230,000 $0.24 x 1,000,000 = $240,000 That’s a $10,000 difference!!!!!

  21. The Pringles Can How much material do you need to make a Pringles can? 5 cm 40 cm

  22. See It • Remember… For a circle Circumference = Area = 2πr OR πd πr2

  23. See It • How much material does it take to cover the area of a Pringles can? • Circle: A = πr2 A = (3.14)(5)2 A = (3.14)(25) A = 78.5 cm2 • Circle: A = 78.5 cm2 • Rectangle: A = bh A = (πd)(40) A = (31.4)(40) A = 1256 cm2 SA = 78.5 + 78.5 + 1256 SA = 1413 cm2

  24. Work It • What is the surface area of the following cylinders? 12 ft 4 cm 12 cm 20 ft

  25. Work It Circle: A = πr2 A = (3.14)(4)2 A = (3.14)(16) A = 50.24 cm2 Circle: A = 50.24 cm2 Rectangle: A = bh A = (πd)(12) A = (25.12)(12) A = 301.44 cm2 SA = 50.24 + 50.24 + 301.44 SA = 401.92 cm2 4 cm 12 cm

  26. Work It Circle: A = πr2 A = (3.14)(6)2 A = (3.14)(36) A = 113.04 ft2 Circle: A = 113.04 ft2 Rectangle: A = bh A = (πd)(20) A = (37.68)(20) A = 753.6 ft2 SA = 113.04 + 113.04 + 753.04 SA = 979.68 ft2 12 ft 20 ft

  27. MCT2 Version! What is the formula for the surface area of a cylinder with a radius of 4 inches and a height of 8 inches?

  28. Exit Ticket • How much aluminum does it take to make a Campbell’s soup can? 1 in. 6 in.

  29. homeroom Read SILENTLY until class begins!

  30. Thursday, 3-6-14 Bellwork What is the surface area of the cylinder below? Hint: Area of Circle A = пr2 Area of rectangle A = bh 10 ft 15 ft

  31. Think it 6 ft 10 ft

  32. Think it 6 ft 10 ft 1ft

  33. Think it 6 ft 10 ft 2 ft

  34. Think it 6 ft 10 ft 3 ft

  35. Think it 6 ft 10 ft 4ft

  36. Think it 6 ft 10 ft 9 ft

  37. Think It 4ft 5ft 12 ft

  38. Think It 15 mm 1 mm

  39. Think It 15 mm 15 mm 2 mm

  40. Think It 15 mm 15 mm 15 mm 3 mm

  41. Think It 10 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm

  42. Think It 4 cm 9 cm

  43. See It Volume – the amount of space inside of a 3D shape. For prisms/cylinders…. V = Area of base x 3D shape’s height V = Bh

  44. See It Base: Triangle A = ½bh A = ½(6)(4) A = 12 ft2 6 ft 4 ft 10 ft 6 ft

  45. See It Base: Triangle A = ½bh A = ½(6)(4) A = 12 ft2 6 ft 4 ft 10 ft 6 ft Volume = Area of Base x height Volume = 12 ft2x 10 ft2 Volume = 120 ft3

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