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GEOMETRY

GEOMETRY. Today: PSAE 12.3 Instruction Practice. Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing. GEOMETRY. Assignment: 12.2 p 732 #29-34, 44, 48, 49. Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.

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GEOMETRY

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  1. GEOMETRY Today: • PSAE • 12.3 Instruction • Practice Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.

  2. GEOMETRY Assignment: • 12.2 p 732 #29-34, 44, 48, 49 Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.

  3. 12.3 Surface Area of Pyramids, Cones and Spheres Objectives: • Know the terms for pyramids • Find the surface area for pyramids • Know the terms for cones • Find the surface area for cones • Know the terms for spheres • Know the surface area for spheres Vocabulary: pyramid, regular pyramid, cone, sphere, great circle, hemisphere

  4. REMINDER: Cylinder:a solid with two circular bases that are parallel. General Formula for Surface Area Prism: SA = 2B + Phwhere B = Area of Base, P = Perimeter of Base andh = height of whole figure General Formula for Surface Area Cylinder: SA = 2B + Chwhere B = Area of Base, C = Circumference andh = height of whole figure

  5. Cone - a circular base and a vertex that is not in the same plane as the base. SA of Cone = B+ ½Clwhere B = Area of Base, C = Circumference andl= slant height of whole figure General Formula for SA of Cylinder: SA = 2B + Chwhere B = Area of Base, C = Circumference and h = height of whole figure l h What needs to change?

  6. Find the surface area of the cone. 8 in 65π in2 204.1 in2 5 in

  7. Ingrid is making a hat for a costume with a diameter of 6½ in and a height of 9¾ in. Find the amount of fabric she will need to cover the hat.  106 in2

  8. Pyramid: a polyhedron with one base and lateral faces that meet at a common vertex. Lateral faces are always triangles. In a regular pyramid, the base is a regular polygon and the lateral triangles are congruent. SA of Regular Pyramid = B+ ½Plwhere B = Area of Base, P = Perimeter of Base andl= slant height of whole figure

  9. 12 cm 10 cm Find the surface area of the regular pyramid shown. 260 cm2

  10. 12.3 Surface Area of Pyramids, Cones and Spheres Assignment: • 12.3 p 738 #1 – 7, 17 – 25 odd • Quiz 12.1 – 12.3 Tuesday Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.

  11. GEOMETRY Today: • HW Check • 12.3 Instruction • Practice Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.

  12. 12.3 Surface Area of Pyramids, Cones and Spheres Assignment: • 12.3 p 738 #1 – 7, 17 – 25 odd • Quiz 12.1 – 12.3 Tuesday Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.

  13. Homework Quiz Take out a piece of notebook paper label it CHAPTER 12 HOMEWORK QUIZ. Write down the date (4/4), then write out p 738 #17, include your picture, work and answer.

  14. 12.3 Surface Area of Pyramids, Cones and Spheres Objectives: • Know the terms for pyramids • Find the surface area for pyramids • Know the terms for cones • Find the surface area for cones • Know the terms for spheres • Know the surface area for spheres Vocabulary: pyramid, regular pyramid, cone, sphere, great circle, hemisphere

  15. Find the surface area of the regular pyramid shown. 150 ft2 9 ft 4 ft

  16. A gazebo with a square base needs to be glassed in on all sides. If the whole gazebo is 10 feet high and the roof is a 4 foot high square pyramid, find how much glass is needed to cover the gazebo. 240 ft2

  17. Sphere – the locus of points in space that are equal distance from a point. Has no base, but can be cut into circles. Circle at center point called great circle. SA of Sphere = 4pr2 where r = radius.

  18. Find the surface area of a sphere with radius of 2”. 2” 16p in2 » 50.24 in2 Find the surface area of the hemisphere of the above figure. Cut in half? 8p in2? 12p in2 » 37.68 in2

  19. Formulas You Should Know S = 2B + Ph S = 2B + Ch S = B + ½Pl S = B + ½Cl S = 4pr2 Only 3 Really S = 2B + Ph S = B + ½Pl S = 4pr2

  20. 12.3 Surface Area of Pyramids, Cones and Spheres Assignment: • 12.3 p 739 #26-34 Even, 44-46 • Quiz 12.1 – 12.3 Tuesday Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.

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