ALEX Classroom Resource

  

Distance Difference

  Classroom Resource Information  

Title:

 Distance Difference

URL:

 https://aptv.pbslearningmedia.org/resource/rr10.math.measure.cir.distdiff/distance-difference/

Content Source:

 PBS
Type: Audio/Video

Overview:

Using circumference, this video measures the total distance traveled by two carousel riders after the carousel has rotated 10 times. Regents Review materials are designed to help high school students prepare for New York State's Regents exams.

Content Standard(s):
Mathematics
MA2015 (2016)
Grade: 7
14 ) Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7-G4]

NAEP Framework
NAEP Statement::
8A4e: Use and evaluate common formulas (e.g., relationship between a circle's circumference and diameter [C = pi d], distance and time under constant speed).

NAEP Statement::
8G2d: Predict results of combining, subdividing, and changing shapes of plane figures and solids (e.g., paper folding, tiling, cutting up and rearranging pieces).

NAEP Statement::
8M1f: Solve mathematical or real-world problems involving perimeter or area of plane figures such as triangles, rectangles, circles, or composite figures.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.7.14- Identify the radius, diameter, and circumference of a circle.
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.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Solve problems with the circumference and area of a circle.
Teacher Vocabulary:
  • Diameter
  • Radius
  • Circle
  • Area
  • Circumference
  • π
Knowledge:
Students know:
  • that the ratio of the circumference of a circle and its diameter is always π.
  • The formulas for area and circumference of a circle.
Skills:
Students are able to:
  • use the formula for area of a circle to solve problems.
  • Use the formula(s) for circumference of a circle to solve problems.
  • Give an informal derivation of the relationship between the circumference and area of a circle.
Understanding:
Students understand that:
  • area is the number of square units needed to cover a two-dimensional figure.
  • Circumference is the number of linear units needed to surround a circle.
  • The circumference of a circle is related to its diameter (and also its radius).
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.7.20.1: Define diameter, radius, circumference, area of a circle, and formula.
M.7.20.2: Identify and label parts of a circle.
M.7.20.3: Recognize the attributes of a circle.
M.7.20.4: Apply the formula of area and circumference to real-world mathematical situations.

Prior Knowledge Skills:
  • Define center, radius, and diameter of a circle.
  • Identify real-world examples of radius and diameter.
    Examples: bicycle wheel, pizza, pie.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.7.20 Identify the radius, diameter, and circumference of a circle.
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]
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Solve problems with the circumference and area of a circle.
Teacher Vocabulary:
  • Diameter
  • Radius
  • Circle
  • Area
  • Circumference
  • π
Knowledge:
Students know:
  • the ratio of the circumference of a circle and its diameter is always π.
  • The formulas for area and circumference of a circle.
Skills:
Students are able to:
  • use the formula for area of a circle to solve problems.
  • Use the formula(s) for circumference of a circle to solve problems.
  • Give an informal derivation of the relationship between the circumference and area of a circle.
Understanding:
Students understand that:
  • area is the number of square units needed to cover a two-dimensional figure.
  • Circumference is the number of linear units needed to surround a circle.
  • The circumference of a circle is related to its diameter (and also its radius).
Diverse Learning Needs:
Tags:
License Type: Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
Accessibility
Comments
  This resource provided by:  
Author: Kristy Lacks
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