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.
UNIT 9: VOLUMES OF CONES, SPHERES, AND CYLINDERS
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.
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
BELL RINGER Thursday, February 25, 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?
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.
FORMULAS!! AREA CIRCUMFERENCE
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
VOLUME OF A CYLINDER
BELL RINGER Friday, February 26, 2016
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.
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
KHAN ACADEMY area/basic-geo-volumes/v/cylinder-volume-and-surface-area?v=gL3HxBQyeg0 3:29
PRACTICE
Here is some information about a cylinder: Height of 6.5 inches One face (circle) area of inches Diameter of 5 inches What is the volume of the cylinder, in cubic inches? (Use 3.14 for.)
PRACTICE
MYTHBUSTERS VIDEO!
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.
SPHERES The diameter of a sphere is 4 inches. What is the volume of the sphere, in cubic inches? (Use 3.14 for.)
CONES