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Geometry 27/28 February 2013

Geometry 27/28 February 2013. WARM UP- THINK- 2 minutes silently PAIR- chat with a partner 1 . Solve for x: x 3 – 4x + 2 = x 4 – 10x + 6 a ) -1 b) 0 c) 2 d) 5 Explain how you know your answer is correct. 2. Substitute and evaluate if x = -2 (show all steps):

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Geometry 27/28 February 2013

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  1. Geometry 27/28 February 2013 WARM UP- THINK- 2 minutes silently PAIR- chat with a partner 1. Solve for x: x3– 4x + 2 = x4 – 10x + 6 a) -1 b) 0 c) 2 d) 5 Explain how you know your answer is correct. 2. Substitute and evaluate if x = -2 (show all steps): 3. Make corrections in a different color for quiz.

  2. Objective Students will review Pythagorean theorem applications and explore volume/ surface area of shapes. Students will take notes, do an investigation and work problems.

  3. DUE FRIDAY, March 1 Pythagorean Review Packet Study for TEST (work with your group- 10 minutes) Coordinate Geometry Project DUE Friday, March 8th

  4. Pythagorus in a BOX Amir’s sister is away at college and he wants to mail her a 34 inch baseball bat. The packing service sells only one kind of box, which measures 24 in x 20 in x 12 in. Will the box be big enough?? Finished? do pg. 488: Container Problem

  5. Chapter 9 Pythagorean Theorem Please get out your notes from last class. 1) write the formula 2) substitute 3) do the math, algebra stylewatch “-” 4) units

  6. Practice QuizSlope? http://www.youtube.com/watch?v=PPXx-43ke-g Find the slope and the distance between the two points. Use the formulas and show your work. Leave your answers in exact form. A: (-2, 2) and (1, 3) B: (-3, 1) and (2, 2) C: (2, -2) and (3, 1) D: (1, -3) and (2, 2)

  7. Geometric Solids 2 Bases1 BaseNo Base Prisms & Cylinders Cones & pyramids Spheres Bases are congruent and parallel

  8. base or side??? base- which part is the base of each figure? sides- which parts are the sides? The parts that ARE NOT bases!  What type of polygon forms the sides of each? prisms and cylinders each have TWO (not three, not four….) CONGRUENT and PARALLEL bases

  9. write in your notes Prism: 2 congruent parallel bases bases are _____________ sides are _____________ Cylinder: 2 congruent parallel bases bases are ___________ side “unwrapped” is a _______________ Pyramid: one base that is a _____________ sides are ________________ Cone: 1 base that is a _____________ POLYGONS RECTANGLES CIRCLES RECTANGLE POLYGON TRIANGLES CIRCLE

  10. you gotta know the words… http://www.mrperezonlinemathtutor.com/G/6_2_Surf_Area_Vol_Prisms.html

  11. Right Prism Lateral edge Lateral face Vertices Surface area is the sum of all the areas of the surfaces that enclose (surround, form the OUTSIDE) a solid THINK– 2-D NETS

  12. SURFACE AREA the sum of the areas of all the surfaces (outside part) of a geometric solid

  13. Volume = Surface Area • The measure of the amount of space contained in a solid • The ‘inside’ of the geometric figure • Use volume formulas • measured in cubic feet, cubic inches… • The sum of the areas of all the face • The ‘outside’ of the geometric figure • Use area formulas • Measured in square inches, square feet… • “Flattened” net

  14. Surface Area Formula Surface area = Area of the base(s) + Area of the lateral faces

  15. steps for finding surface area 1. Draw and label each face of the solid as if you had cut the solid apart along its edges and laid it flat. Label the dimensions. 2. Calculate the area of each face: Formula Substitute the #’s Do the math Units 3. Find the total area. Basically…. surface area = area of base(s) + area of sides

  16. InvestigationA Voluminous Task 1) Work with a partner to find surface area and volume of each figure. Use a single cube as one unit of volume and a face as one unit of area. 2) Write a description of how you found area and volume. If you used any shortcuts, explain what they were. What problems did you have? What is the difference between volume and surface area?

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