MATH 612—UF Competency Practice
Fractions and Proportions: K - 8 Learning and Teacher Practices
1.
a.
b.
c.
d.
What fraction of figure I is shaded?
What fraction of figure II is shaded?
What fraction of figure I is unshaded?
What fraction of figure II is unshaded?
I.
II.
2. Cuisenaire Rods can represent various fractions, depending on the choice of
the unit rod. For example, if the unit rod is brown, then the purple rod
4
represents
8
3
a. If the dark green rod represents , what does the white rod represent?
4
b. What fraction is represented by the yellow rod if the black rod is the
unit rod?
c. What is the unit rod if the purple rod represents 2/3?
d. If the unit rod is the orange rod, what fraction is represented by the
black rod?
3. For each figure, complete the equation and describe how the answer can be obtained from the
figure.
4. Three concepts of a fraction were illustrated in this reading: part-to-whole, fraction-quotient,
and ratio. Answer the questions by writing fractions in lowest terms and write the name of
the fraction concept that is involved in each question.
a. One side of my garden is 100 feet and the other side is 150 feet. What fraction of the
length (150) is the width (100)?
b. I cut my 20 foot rope of taffy into 50 equal parts, what fraction of the taffy is each piece
of taffy?
c. I have 5 red and 7 blue balloons, What fraction of my balloons are blue?
d. A 14 mile route is divided into 6 equal parts for a relay race. What fraction of a mile is
the length of each part of the race?
e. On a school debate team there are 6 boys and 8 girls. What fraction of the debate team is
boys?
f. If the height of a girl is 4 feet and the height of a basketball rim above the floor is 10 feet,
the height of the girl is what fraction of the height of the basketball rim above the floor?
MATH 612—UF Competency Practice
Fractions and Proportions: K - 8 Learning and Teacher Practices
5. Determine the missing number.
a.
3 12

7
b.
8

25
40
c.
6. Write each fraction in lowest terms
b.
a. 4
c. 99
16

18
24
154
d.
5

6 30
d.
9

27
12
18
15
7. Determine the missing equality or inequality symbol. Do it without a calculator!
a.
11
13
7
19
b.
40
50
35
45
c.
91
77
13
11
8. Between any two fractions there are an infinite number of fractions. Find a fraction that is
between the fractions in each pair.
a.
1
1
and
20
10
b.
1
5
and
2
8
c.
8
9
and
9
10
MATH 612—UF Competency Practice
Fractions and Proportions: K - 8 Learning and Teacher Practices
Answers