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Nothing But Net … Swish into Tuesday!. - Take out last night’s homework. - Take out paper for your warm up - DEAR. WARM UP: Show all your work!. -6 4 -6 4 . 1) 5 p − 14 = 8 p + 4 2) 5 n + 34 = −2(1 − 7 n ) 3) 14 = −( p − 8) 4) − 3(4 x + 3) + 4(6 x + 1) = 43
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Nothing But Net…Swish into Tuesday! - Take out last night’s homework. - Take out paper for your warm up - DEAR
WARM UP: Show all your work! -6 4 -6 4 • 1) 5p− 14 = 8p+ 4 • 2) 5n+ 34 = −2(1 − 7n) • 3) 14 = −(p− 8) • 4) −3(4x+ 3) + 4(6x+ 1) = 43 • # correct/ 4
Let’s check last night’s homework (yesterday’s class work that you finished…) Rate yourself on how you think you did…3: “I made 3-pointers the whole game!” 2: “I was fouled a few times, but still made the free throws!” 1: “I only scored once, but at least I tried.”
What is surface area?The sum of all the areas of all the surfaces of a figure Think about… • wrapping a gift • covering your math book • labels on a can • painting a room • tiling a floor or shower • WHAT ELSE CAN YOU THINK OF?
How can you calculate the area of those surfaces? • Find the area of each side individually and then add them together! • One way to see this is by looking at the object’s NET. • NET: a arrangement of 2-D figures that can be folded to make a polyhedron (3-D object) • Nets allow you to see all the surfaces at one time.
NAME THAT NET! Cylinder Rectangular Prism CUBE Hexagonal prism Triangular prism
Calculate the surface area 8 32 8 32 16 +16 112 un² 4(2) = 8 un² 4(8) = 32 un² 4(2) = 8 un² 4(8) = 32 un² What do you notice about your answers of each part? There are 2 of each! 2(8) = 16 un² 2(8) = 16 un²
A closer look at a cylinder • Where do the dimensions of the NET come from? • Take a rectangular sheet of paper and label the long edge as “base” and the short edge “height” • Roll the piece of paper to form a cylinder. • What do you notice? • The “base” is the circumference of the circle • The “height” is the height of the cylinder
Calculate the surface area Area of one circle: Area of BOTH circles: A= ᴫr ² 2(50.24) = 100.48 A= (3.14) (4²) A= (3.14) (16) A= 50.24 Area of Rectangle: A= bh A= (circumference)(height) A= (2ᴫr)(h) A= (2*3.14*4)(6.2) A= 25.12(6.2) A= 155.744 TOTAL Surface Area: 100.48 + 155.744 = 256.224 or about 256.2 in ² Area of the circle: A= ᴫr ² Area of a rectangle: A= bh 4 in. 4 in. 6.2 in.
Class Work time…make it nothing but NET!! • Work on the handout with a partner • YES, you may use calculators, BUT you must still show your work!