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BELL RINGER: WEDNESDAY, FEBRUARY 24, 2016 Choose area, surface area, volume, perimeter, or circumference for the following situations: 1. I want to figure.

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Presentation on theme: "BELL RINGER: WEDNESDAY, FEBRUARY 24, 2016 Choose area, surface area, volume, perimeter, or circumference for the following situations: 1. I want to figure."— Presentation transcript:

1 BELL RINGER: WEDNESDAY, FEBRUARY 24, 2016 Choose area, surface area, volume, perimeter, or circumference for the following situations: 1. I want to figure out how much water can fill a tub. 2.I want to see how much fencing I would need to border my backyard. 3. I need to know how much gift wrapping paper I need for all the gifts I want to wrap. 4. I want to know if the lid will fit the top of my to-go cup. 5. I need to know how much popcorn to bring to fill the container.

2 UNIT 9: VOLUMES OF CONES, SPHERES, AND CYLINDERS

3 STANDARD MAFS.8.G.3.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.  Identify and define vocabulary: cone, cylinder, sphere, radius, diameter, circumference, area, volume, pi, base, height.  Know formulas for volume of cones, cylinders, and spheres.  Compare the volume of cones, cylinders, and spheres.  Determine and apply appropriate volume formulas in order to solve mathematical and real-world problems for the given shape.  Given the volume of a cone, cylinder, or sphere, find the radii, height, or approximate using π.

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5 CLASSWORK/HOMEWORK VOCABULARY Write down the following words, their definitions, and a picture/example to accompany the definition. Then, write down a real-world example/problem/item where you might see the word being applied. Volume Cone Cylinder Sphere Radius Diameter Circumference Area Pi Base Height

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7 BELL RINGER Thursday, February 25, 2016 1. What is the formula for the area of a circle? 2. What is the formula for the circumference of a circle? 3. How do you think these relate to cylinders?

8 STANDARD MAFS.8.G.3.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.  Identify and define vocabulary: cone, cylinder, sphere, radius, diameter, circumference, area, volume, pi, base, height.  Know formulas for volume of cones, cylinders, and spheres.  Compare the volume of cones, cylinders, and spheres.  Determine and apply appropriate volume formulas in order to solve mathematical and real-world problems for the given shape.  Given the volume of a cone, cylinder, or sphere, find the radii, height, or approximate using π.

9 FORMULAS!! AREA CIRCUMFERENCE

10 WHAT YOU NEED…  Two different colored pieces of construction paper per group.  A napkin or plate (whatever is available on the back table)  Tape  A worksheet (only one per PAIR)  A pencil  A calculator  I will come around and pass out your food

11 VOLUME OF A CYLINDER

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13 BELL RINGER Friday, February 26, 2016

14 STANDARD MAFS.8.G.3.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.  Identify and define vocabulary: cone, cylinder, sphere, radius, diameter, circumference, area, volume, pi, base, height.  Know formulas for volume of cones, cylinders, and spheres.  Compare the volume of cones, cylinders, and spheres.  Determine and apply appropriate volume formulas in order to solve mathematical and real-world problems for cones, cylinders, and spheres.  Given the volume of a cone, cylinder, or sphere, find the radii, height, or approximate using π.

15 MATH REFERENCE SHEET… MEMORIZE THESE BECAUSE THEY ARE NOT ON YOUR FSA REFERENCE SHEET! AREA OF A CIRCLE CIRCUMFERENCE OF A CIRCLE VOLUME OF A CYLINDER

16 KHAN ACADEMY https://www.khanacademy.org/math/basic-geo/basic-geo-volume-surface- area/basic-geo-volumes/v/cylinder-volume-and-surface-area?v=gL3HxBQyeg0 Stop @ 3:29

17 PRACTICE

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20 Here is some information about a cylinder: Height of 6.5 inches One face (circle) area of 19.625 inches Diameter of 5 inches What is the volume of the cylinder, in cubic inches? (Use 3.14 for.)

21 PRACTICE

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24 MYTHBUSTERS VIDEO! https://www.youtube.com/watch?v=rGWmONHipVo

25 HOMEWORK Friday, February 26, 2016 Until 2014, the mass of a kilogram was defined as exactly equal to the mass of a special platinum-iridium cylinder kept in Sèvres, France. The cylinder’s diameter and height are both 39.2 millimeters. What is the volume of this cylinder? Explain how you found your answer.

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27 SPHERES The diameter of a sphere is 4 inches. What is the volume of the sphere, in cubic inches? (Use 3.14 for.)

28 CONES


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