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Gr 5 Un 2 / Math A Un 3 ~ Angles of Fractions
What Does This Look Like In:
K 1 2 3 4 5 A B
 
Angles of Fraction Circles
The students were told to use what they knew about angles to figure out the measures of the fraction circles without using a protractor. With the knowledge that a right angle is 90 degrees and a full circle is 360 degrees, the students can figure out all of the angle measurements. Look at the student work above to see how a student reasoned the angle measurements of some of the fraction pieces
Angles of Fractions
Angles of Fractions
This student grouped angles as complementary (angles equaling 90 degrees) and supplementary (angles equaling 180 degrees). The student also related 1/4 + 1/8 + 1/8 as 1/2.

Indicators:

2.6.2.1 determine missing angle measures using estimation and direct and indirect measurements.

2.6.2.3 define and identify angles as adjacent, complementary, or supplementary.

2.6.1.2 identify and predict the effect of combining and dividing geometric shapes into other shapes.

Angles of Fractions
Angles of Fractions
After reasoning the angle measurements of the fraction circle pieces, the students made full circles out of the different fraction pieces. The table shows a student relating fractions to angle measurements: 1/8 = 45 degrees; 1/6 = 60 degrees. The students then added up all of their angle measurements to make sure they equaled 360 degrees.

Examples from
Ms. Lyons's Class Fraction Circle Angles
Fraction Circle Angles
Fraction Circle Angles
Fraction Circle Angles

Online Fraction Circle

Online Fraction Circles


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