Fractions on Models
Draw a circle divided into 6 equal parts with 1 part shaded. How many equal parts are between 0 and 1? Write the fraction related to your picture.
There are 6 equal parts.
The fractions is 1 / 6
Make a number line from 0 to 1 divided into 5 equal parts, what fraction is at the third tick mark?
3/5
Name a fraction equivalent to 1/2
Draw 4/3 in a model or number line
number line or model
A model shows 6 counters total, and 2 are gray. What fraction of the counters are gray?
2/6
Represent 1/4 on a number line.
Student should be able to show 1/4 correctly on a number line.
Is 2/4 equivalent to 4/7? Explain.
No. 2/4 is closer to one whole than 4/7
Draw 6/2 as a model
can use circle, square, or rectangle
A rectangle is shaded to show 2/3. Draw another model (same whole) divided into 6 equal parts that shows a fraction equivalent to 2/3. (Explain how you would shade it.)
Student should show a rectangular model divided into 6 equal parts. It should show 4/6 shaded.
On a number line, show 3/3.
Student should correctly label 3/3 on a number line.
Is 3/4 and 6/10 equivalent? Show a model to prove.
No. 3/4 is closer to 1 whole
Draw 8/5 on a number line
Students must use number line
Draw a shaded model showing 5/8. Draw another model that is less than 5/8 using the same denominator.
Student should have 2 drawn models. They both should be partitioned into 8 parts. One should be smaller than 5/8.
Label 2/8 on a blank number line from 0 to 1 divided into 8 equal parts. Then write the equivalent fraction with denominator 4.
Write 3 pairs of equivalent fractions. Denominators (bottom number) should not go beyond 10.
various answers.
Make an improper fraction using a number line.
Students must use a number line
A student draws a square and makes 8 equal parts. The student then shades 8 of the parts. When asked to label the fraction he labels it 8/1. Is the student correct? Explain.
No. 8/1 means 8 whole shapes. He should have wrote 8/8
Label 3/2 on a number line.
Student should have number line that extends beyond 0-1.
Draw 2 models of equivalent fractions. Write the equivalent fractions under/beside the model.
Various answers.
Make an improper fraction using a model.
Students must use a model to make an improper fraction.