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SAMPLES5 STAARFifth Grade Mathematics

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Our STAAR samples are provided to give teachers, tutors and instructors a feel for our layout, design and instruction techniques. Each sample starts with a teacher book lesson plan, followed by a student book practice test and exercise (if applicable) to reinforce the lesson. Our student practice tests follow the question guidelines and design as they will appear on the STAAR exam. As you can see on our website, the teacher books are separate from the student books. The samples are arranged in this way to show how they work in concert with one another. Our STAAR materials cover all the Reporting Categories and TEKS that will be covered on the actual exam. We also cover any Underlying Processes that may be applicable in a separate section, even though those underlying processes will also be embedded in the content throughout the teacher and student materials. We hope you enjoy the product, as it has been developed to help save teachers time and provide students with the knowledge and tools they will need to successfully challenge the STAAR exam. The TripleNterprises Educational Publishing Team

Texas STAAR Exam – Lesson 3, 5.2(A)

Reporting Category 1: Numbers, Operations, and Quantitative Reasoning (5.2) Number, operation, and quantitative reasoning. The student uses fractions in

problem-solving situations. The student is expected to

(A) generate a fraction equivalent to a given fraction such as 1/2 and 3/6 or 4/12 and 1/3; Readiness Standard

---------------------------------------------------------------------------------------------------------------------

Say: Today we will learn how to use Equivalent fractions. Equivalent fractions are fractions that name the same amount. Use equivalent fractions to compare, add, or subtract fractions. To find equivalent fractions, multiply or divide the numerator and the denominator by the same nonzero number.

Put LESSON SLIDE 1 on white board / overhead Read lesson slide 1 Say: Ok, now let's try another example with the class solving the problem. Note: Cover the answer and let the students suggest solutions. Provide assistance as

needed. Put LESSON SLIDE 2 on white board / overhead. Read lesson slide 2 Say: Do STAAR practice 5.2 (A) & Logic / Manipulative 1.3

LESSON SLIDE 1 Lesson 3

Equivalent Fractions

Example 1. Check to see if 43 and

86 are equivalent fractions.

Solution Strategy: You can create equivalent fractions by multiplying the numerator and denominator by the same amount. Fractions have two parts, the numerator (the top part), and the denominator (the bottom part).

43

rdenominatonumerator

→→

The common multiplier can also be used to test for equivalency. Check your results graphically by drawing two boxes with shaded portions to represent the fractions and then seeing if the areas are the same.

86

22

43

=×

LESSON SLIDE 2 Lesson 3

Equivalent Fractions continued

Example 2: Use the same methods as in example 1 to show that

129 is also an

equivalent fraction of 86 and

43 .

Solution Strategy: You can check for equivalent fractions by the same methods used in example 1. Then since

43 is an equivalent fraction of

86 and

129 . You can

reason that

86 and

129 are also equivalent fractions.

129

33

43

=×

STAAR Practice 5.2(A) 1 Which fraction is equivalent to three twelfths?

A one fourth B one third C one half D one fifth

2 Which pair of fractions are equivalent?

A 39

𝑎𝑛𝑑 48

B 515

𝑎𝑛𝑑 13

C 18

𝑎𝑛𝑑 416

D 210

𝑎𝑛𝑑 14

3 Ted has 3

4 of a chocolate bar. If he divides it evenly between himself and five

friends, what fraction of a chocolate bar will each person receive?

A 13 B 1

4 C 1

5 D 1

8

4 Find the equivalent fraction for 7

21?

A 12 B 1

3 C 1

4 D 1

5 E 1

6

5 Choose the two fractions that are equivalent to 6

36?

A 14

𝑎𝑛𝑑 28

B 15

𝑎𝑛𝑑 210

C 39

𝑎𝑛𝑑 824

D 16

𝑎𝑛𝑑 212

6 Which fraction is equivalent to 532

? A 1

7 B 1

6 C 1

5 D 1

4 E 1

3

STAAR Practice 5.2(A) continued 7 One fourth is equivalent to how many twenty eighths? A 5 B 6 C 7 D 8 8 If you are in a car traveling at ninety kilometers an hour and you travel fifteen

kilometers, what fraction of an hour did you travel?

A one half B one third C one fourth D one sixth

9 Which fraction is not equivalent to 38?

A 924

B 1025

C 1848

D 616

10 Which set of fractions below are not equivalent?

A 12

𝑎𝑛𝑑 50100

B 37

𝑎𝑛𝑑 921

C 613

𝑎𝑛𝑑 1225

D 311

𝑎𝑛𝑑 1244

11 Which fraction is equivalent to 4

11?

A 8

22

B 833

C 1222

D 1223

12 The Grand Canyon is 52 miles away. You have traveled 13 miles. What fraction of

the trip do you have left?

A 23 B 1

2 C 4

5 D 3

4

Logic Exercises 1.3

Oh How I Love Those Fractions!! Start with the column on the left, then look across the row and color in all equivalent fractions.

1 4

3 14

6 16

7 28

5 25

3 12

4 16

9 24

6 18

8 36

8 20

5 7

19 48

32 64

17 32

15 21

10 26

10 14

14 40

14 32

14 54

19 48

3 8

4 15

8 20

6 18

9 24

6 27

6 16

8 28

8 36

13 26

14 32

4 9

10 14

8 36

12 27

4 16

20 45

15 21

8 18

12 30

6 18

6 27

2 5

4 15

14 55

12 30

10 25

8 20

4 10

8 35

8 15

20 45

6 40

7 13

13 26

28 52

21 36

18 46

14 26

14 40

10 26

21 39

14 40

9 24

2 9

6 18

8 28

6 27

4 16

14 40

12 24

8 36

4 22

10 26

14 32

7 11

28 44

12 22

14 55

42 77

21 33

21 22

35 44

28 55

14 22

27 33

Manipulative 1.3

Total Fraction Equality!! Use your counting cubes Get together in a group Each person takes a turn rolling a cube Write each number down, you can use the number for each roll once The winner is the first person to complete all the equivalent fractions 1 _ 4 1 _ 3 1 _ 2