Geometry
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USA TODAY® Related Activities

USA TODAY Related Activities provides activities related to the concept of the lesson as well as up-to-date Snapshot data.

Internet Activity
Teacher Notes

From Squares to Circles

Teacher Notes:

  • As an extension, have students make tangram puzzles for other equilateral polygons, such as an equilateral triangle or a regular octagon.

Proceedure for the Activity

Answers:

Procedure for the Activity

Step 1

See students’ work.

 
Step 2

See students’ work.

 
Step 3
Color
Fraction of the Square
Percent of the Square
                  Red
1
4
25%               
                  Blue
1
8
12.5%               
                  Green
3
16
18.75%               
                  Yellow
1
8
12.5%               
                  Orange
1
8
12.5%               
                   Purple
3
16
18.75%               

 

Step 4

red: 90°; blue: 45°; green: 67.5°; yellow: 45°; orange: 45°; purple: 67.5°

 
Step 5

Portion of Square Represented by Each Color

 
Step 6

The arcs for the wedges for blue, green, and orange are congruent because all three represent 12.5% or 45° of the circle. The arcs for the wedges for green and purple are congruent because they both represent 18.75% or 67.5° of the circle.

 
Step 7
Color
Fraction of the Square
Percent of the Square
            Triangles
9
16
56.25%                  
            square
1
8
12.5%                  
            parallelogram
1
8
12.5%                  
            trapezoid
3
16
18.75%                  

 
Step 8

triangles: 202.5°; square: 45°; parallelogram: 45°; trapezoid: 67.5°

 
Step 9

Portion of Square Represented by Each Color

 
Step 10

The arcs for the wedges for square and parallelogram are congruent because they both represent 12.5% or 45° of the circle.

 

Wrapping Up the Activity

See students’ puzzles and graphs.

 
 
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