sample unit fractions[1]

8/13/2019 Sample Unit Fractions[1]

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Unit 1Fraction Concepts

Diagnostic Test 36

The 24-question Diagnostic Test for Fraction Concepts, in multiple-choiceformat, consists of four parts: (1) introduction to fractions and mixed numbers;(2) factors, multiples, and primes; (3) equivalence and simplest form; and

(4) estimation, comparing/ordering, and division interpretation of fractions.The test allows you to pinpoint specific skills and concepts that require more

student work. For information on how to use this test to help identify specificstudent error patterns, see pages 39 through 41.

Item Analysis for Diagnostic Test 39

Error Patterns & Intervention Activities 42

Practice Exercises 86

Questions for Teacher Reflection 88

Resources 159

Pages 159169 provide blackline masters for worksheets, activities, and

instructional games to support the teaching of fraction concepts. See page 40 for

a list of the resources for this unit (including technology resources online).

35

Copyright 2011 Corwin. Not for sale, reproduction, or distribution.


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36

Name _____________________________________ Date ____________________ Class ____________________

Diagnostic Test

Fraction Concepts

Multiple Choice: Circle the correct answer. If your answer is not given, circle Not here.

Part 1

1. How much of the circle is shaded? 2. How much of the rectangle is notshaded?

A.5

3 B.

3

2

C.5

2 D.

2

5

E. Not here

A.7

3 B.

7

4

C.3

4 D. 4

E. Not here

3. What part of the group

of circles is shaded?

A.10

7B.

3

7C.

7

10D. 7 E. Not here

In items 4 and 5, which number names the point shown on the number line?

4.

0 1

A.5

1 B.

6

1 C.

7

1 D.

7

2

E.Not here

5.

0 1 2

A.4

3 B.

8

7 C. 1

8

7 D. 1

4

3

E.Not here

6. On which number line is the point correctly named?

A.

0 543

B.

0 32

3

C.

0 413

1

D.

0 54

9

E.Not here



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37

Part 2

7. Which list shows all factors of 18? 8. Which is nota multiple of 35?

A. 2, 3, 6, 9 B. 1, 2, 3, 6, 9, 18

C. 1, 2, 6, 9, 18 D. 18, 36, 54, . . .

E.Not here

A. 5 B. 35 C. 70 D. 105

E. Not here

9. Which is the greatest common factor (GCF) of24 and 36?

A. 6 B. 12 C. 18 D. 72

E. Not here

10. Which is the least common multiple (LCM) of20 and 24?

A. 4 B. 20 C. 120 D. 480

E. Not here

11. Which is a prime number?

A. 1 B. 2 C. 25 D. 51

E. Not here

12. Which is the prime factorization of 60?

A. 5 12 B. 2 2 15

C. 2 3 5 D. 2 2 3 5

E.Not here

Part 3

13. Which diagram shows4

1shaded?

A.

E.Not here

B. C. D.

14. Which is equivalent to1

8?

A. 8 B.8

1C.

8

8D. 64 E.Not here

15. Which is equivalent to5

4?

A.20

16B.

10

9C.

10

4D.

15

8

E. Not here

16. Which shows18

12in simplest form?

A.18

2B.

9

6C.

3

1D.

3

2

E. Not here

17. Which shows an improper fraction for 38

5?

A.8

120B.

8

29C.

8

24D.

8

15

E. Not here

18. Which shows the mixed number for4

9in

simplest form?

A. 2 B. 14

5C. 4

2

1D. 2

4

1

E. Not here



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38

Part 4

A. less than4

1 B. about

2

1C. about

3

2D. more than

4

3

E. Not here

20. Which is correct?

A. >3

2

4

3B. 2 1 >5

2

4

2

3

2B. < >

2

1

3

1

4

1D. < 10

3

2

1?

In baseball, a player who gets 2 hits out of 3 at-bats and then gets 1 hit out

of 4 at-bats has 3 hits out of 7 at-bats. So why doesnt3

2

4

1

7

3+ = ?

Error Pattern 2

When using a number line to name a proper fraction (a fraction whosenumerator is less than the denominator), some students count the number of

hash marks between0 and 1 to determine the denominator. Others count all ofthe hash marksincluding those for 0 and 1. Some students count the hash

mark for 0 when determining the numerator. In general, the student uses a

How many parts

are shaded?How many objectsare shaded?

How many parts of the same

size are there in all?How many objectsare there in all?


sample unit fractions[1]

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