ALEX | Alabama Learning Exchange

Meatballs: Volumes of Spheres and Cylinders

Classroom Resource Information

Title:

Meatballs: Volumes of Spheres and Cylinders

URL:

https://aptv.pbslearningmedia.org/resource/mgbh-math-g-meatballs/meatballs-volumes-of-spheres-and-cylinders/

Content Source:

PBS

Type:

Learning Activity

Overview:

Use your problem-solving skills to find out if the pot will overflow when Dan adds meatballs to his pasta sauce. This interactive exercise focuses on using the volume equations for cylinders and spheres to figure out the multistep problem of how many meatballs it would take to fill the space left in the pot.

Be sure to view the activity, Meatballs: Volumes of Spheres and Cylinders - Activity (found under Support Materials for Teachers), to use with the video.

Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 7
Accelerated

41. Use formulas to calculate the volumes of three-dimensional figures to solve real-world problems. [Grade 8, 30]

Unpacked Content

Evidence Of Student Attainment:

Students:

Understand that the application of volume formulas and the relationship between these three formulas can be used in combinations when determining solutions involving real-world cylinders, cones, and spheres.

Teacher Vocabulary:

Radius
Pi
Volume
Cylinder
Cone
Sphere

Knowledge:

Students know:

the volume formulas for cylinders, cones, and spheres.
That 3.14 is an approximation of pi commonly used in these volume formulas.
That composite three dimensional objects in the real-world can be created by combining cylinders, cones, and spheres in part or whole.

Skills:

Students are able to:

calculate the volume of cones, cylinders, and spheres given in real-world contexts. often times approximating solutions to a specified decimal place.
Identify the components of a composite figure as being portions of or whole cylinders, cones, and spheres.
Combine the results of calculations to find volume for real-world composite figures.

Understanding:

Students understand that:

the application of volume formulas and the relationship between these three formulas can be used in combinations when determining solutions involving real-world cylinders, cones, and spheres.

Diverse Learning Needs:

Mathematics
MA2019 (2019)
Grade: 8

30. Use formulas to calculate the volumes of three-dimensional figures (cylinders, cones, and spheres) to solve real-world problems.

Unpacked Content

Evidence Of Student Attainment:

Students:

Understand that the application of volume formulas and the relationship between these three formulas can be used in combinations when determining solutions involving real-world cylinders, cones, and spheres.

Teacher Vocabulary:

Radius
Pi
Volume
Cylinder
Cone
Sphere

Knowledge:

Students know:

The volume formulas for cylinders, cones, and spheres.
That 3.14 is an approximation of pi commonly used in these volume formulas.
That composite three dimensional objects in the real-world can be created by combining cylinders, cones, and spheres in part or whole.

Skills:

Students are able to:

Calculate the volume of cones, cylinders, and spheres given in real-world contexts. often times approximating solutions to a specified decimal place.
Identify the components of a composite figure as being portions of or whole cylinders, cones, and spheres.
Combine the results of calculations to find volume for real-world composite figures.

Understanding:

Students understand that:

the application of volume formulas and the relationship between these three formulas can be used in combinations when determining solutions involving real-world cylinders, cones, and spheres.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.8.30.1: Define formula, volume, cone, cylinders, spheres, and height.
M.8.30.2: Discuss the measure of volume and give examples.
M.8.30.3: Solve problems with exponents, with or without a calculator.
M.8.30.4: Recall how to find circumference of a circle, with or without a calculator.
M.8.30.5: Identify parts of a circle.
M.8.30.6: Calculate the volume of three-dimensional figures.
M.8.30.7: Solve real-world problems using the volume formulas for three-dimensional figures, with or without a calculator.

Prior Knowledge Skills:

Define volume, surface area, triangles, quadrilaterals, polygons, cubes, and right prisms.
Discuss strategies for solving real-world mathematical problems.
Recall formulas for calculating volume and surface area.
Identify the attributes of triangles, quadrilaterals, polygons, cubes, and right prisms.
Define diameter, radius, circumference, area of a circle, and formula.
Identify and label parts of a circle.
Recognize the attributes of a circle.
Apply the formula of area and circumference to real-world mathematical situations.

Alabama Alternate Achievement Standards

AAS Standard:
M.AAS.8.30 Use the formulas for perimeter, area, and volume to solve real-world and mathematical problems (where volume problems are limited to finding the volume of cylinders and rectangular prisms).

Tags:

cylinders, problem solving, spheres, volume

License Type:

Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses

Accessibility

Video resources: includes closed captioning or subtitles

Comments

This resource contains support materials for teachers in the top right corner of the page: printable activity for Meatballs: Volumes of Spheres and Cylinders. Click the link on the webpage to access the activity.

This resource provided by:

Author:

Kristy Lacks

ALEX Classroom Resource

Meatballs: Volumes of Spheres and Cylinders