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Ms. lonsdale’s 7 th grade math class. Notes for the week of 3-3-14 to 3-7-14. Homeroom. Read SILENTLY until class begins!!. Announcements. No homework this week! (work on make-up work/extra credit! ) Make-up tests/extra credit for tests will be available after 2 nd period TODAY!.
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Ms. lonsdale’s 7th grade math class Notes for the week of 3-3-14 to 3-7-14
Homeroom Read SILENTLY until class begins!!
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!
Random Factoid A person’s left hand does 56% of typing.
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
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
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
6 ft 4 ft 12 ft 6 ft
12 9 9
See It – Triangular Pyramid 15 12 10 x 3 = +
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.
Exit Ticket • How would you find the surface area of this prism? 9 ft 6 ft 16 ft 9 ft
Homeroom Read SILENTLY until class begins!!
Wednesday, 3-5-14 Bellwork • What is the surface area of the pyramid below? 8 ft 8 ft 5 ft 5 ft
announcements • No homework! (4 days until the end of the term!)
Random Factoid Earthworms have five hearts!
$0.23 $0.24
$0.23 x 1,000,000 = $0.24 x 1,000,000 =
$0.23 x 1,000,000 = $230,000 $0.24 x 1,000,000 = $240,000
$0.23 x 1,000,000 = $230,000 $0.24 x 1,000,000 = $240,000 That’s a $10,000 difference!!!!!
The Pringles Can How much material do you need to make a Pringles can? 5 cm 40 cm
See It • Remember… For a circle Circumference = Area = 2πr OR πd πr2
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
Work It • What is the surface area of the following cylinders? 12 ft 4 cm 12 cm 20 ft
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
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
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?
Exit Ticket • How much aluminum does it take to make a Campbell’s soup can? 1 in. 6 in.
homeroom Read SILENTLY until class begins!
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
Think it 6 ft 10 ft
Think it 6 ft 10 ft 1ft
Think it 6 ft 10 ft 2 ft
Think it 6 ft 10 ft 3 ft
Think it 6 ft 10 ft 4ft
Think it 6 ft 10 ft 9 ft
Think It 4ft 5ft 12 ft
Think It 15 mm 1 mm
Think It 15 mm 15 mm 2 mm
Think It 15 mm 15 mm 15 mm 3 mm
Think It 10 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm 15 mm
Think It 4 cm 9 cm
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
See It Base: Triangle A = ½bh A = ½(6)(4) A = 12 ft2 6 ft 4 ft 10 ft 6 ft
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