Square-Wheeled Tricycle: Radius and Circumference

  Classroom Resource Information  

Title:

 Square-Wheeled Tricycle: Radius and Circumference

URL:

 https://aptv.pbslearningmedia.org/resource/mgbh-math-g-squarewheel/square-wheeled-tricycle-radius-and-circumference/

Content Source:

 PBS
Type: Interactive/Game

Overview:

Uncover the secret behind how a square-wheeled tricycle can work at the National Museum of Mathematics. This interactive exercise focuses on working with the radius of various circles to find the circumference and area as well as challenging you to find the distance a square wheel travels around the track.

This resource is part of the Math at the Core: Middle School collection.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 7
20. Explain the relationships among circumference, diameter, area, and radius of a circle to demonstrate understanding of formulas for the area and circumference of a circle.

a. Informally derive the formula for area of a circle.

b. Solve area and circumference problems in real-world and mathematical situations involving circles.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.7.20 Identify the radius, diameter, and circumference of a circle.
Mathematics
MA2019 (2019)
Grade: 7
22. Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.7.22 Determine the area regular, two-dimensional figures. Determine the volume of rectangular prisms, limited to whole numbers.
Mathematics
MA2019 (2019)
Grade: 7
Accelerated
36. Explain the relationships among circumference, diameter, area, and radius of a circle to demonstrate understanding of formulas for the area and circumference of a circle.

a. Informally derive the formula for area of a circle.

b. Solve area and circumference problems in real-world and mathematical situations involving circles. [Grade 7, 20]
Mathematics
MA2019 (2019)
Grade: 7
Accelerated
39. Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms. [Grade 7, 22]
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]
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.
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: area, circle, circumference, formula, radius, realworld, sphere
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  This resource provided by:  
Author: Hannah Bradley