Spiral Review Name: _______________________________________ Date: __________________ Fraction Concepts and Percents Equivalent Fractions and Simplest Form HW SR1 Practice to review…I can find equivalent fractions! A fraction is in simplest form if there is no whole number, other than 1, that divides evenly into the numerator and denominator. !"
I can use different strategies to find the simplest form of . I can make equal groups of eighteenths on a fraction strip to form an equivalent fraction in simplest form. !"
I can make equal groups of eighteenths on a number line to form an equivalent fraction in simplest form. I can divide the numerator and denominator of a fraction by the same number (a common factor) to make an equivalent fraction made from fewer but larger unit fractions. 10 10 ÷
=
18 18 ÷
=
I can use the prime factorization to find common factors of the numerator and denominator. Then I can use what I know about the Identity Property of Multiplication. 2•5
2 • 5 10
=
=
=
18 2 • 3 • 3 2 • 3 • 3
Practice to remember… Complete. Show your work. 1. 2. 4
=
30 15
3. 5 20
=
6
5
= 35 7
Write two equivalent fractions for each. Show your work. 4. 6
=
9
=
5. 1=
=
6. 50
=
60
=
Write each fraction in simplest form. Show your work. 7. 48
=
56
© Lincoln Public Schools, 2015 8. 15
=
45
9. 100
=
250
5th Grade Math Spiral Review Name: _______________________________________ Date: __________________ Fraction Concepts and Percents Remembering RE SR1 Practice for fluency… Find the least common multiple of the numbers. 10. What is the best estimate of 53,500 ÷ 62? a. 9 b. 90 c. 900 d. 9,000 11. What is 0.16 as a fraction in simplest form?
a. c. !"
!"""
!
!"
b. d. Classify each triangle in two ways according to their sides and angles. 12. ______________________ 13. ______________________ !"
!""
!
!"
14. _____________________ 15. _____________________ Answer each question. Explain your thinking. 16. Sue lives 0.9 km from the school. Kim lives half as far from the school as Sue. How many kilometers does Kim live from the school? Show how you know. 17. Tammy had 4 pieces of ribbon. She cut each ribbon into five equal p arts. How many pieces did she have then? Show how you know. © Lincoln Public Schools, 2015 5th Grade Math Spiral Review Name: _______________________________________ Date: __________________ Fraction Concepts and Percents Relate Fractions, Decimals, and Percents HW SR2 Practice to review… I can relate fractions, decimals, and percents! Percent means out of a hundred or per hundred. $1 = 100 pennies 20% represents a value equivalent to 1 meter = 10 decimeters = 100 centimeters !"
!""
1 hundred = 100 ones 20% of $1 is __________ 20% =
20% of 1 meter is __________ or __________ 20
20 ÷ 20
=
=
100 100 ÷ 20
20% of 100 is ________ 20% of 5 days is ______________ Practice to remember… Circle the percents on the 100 centimeters. Shade the percent on the 100 grid. 1. 9% 2. 56% 3. 32% Complete the table. 4. Simplest Fraction Percent, Decimal, and Fraction Equivalencies Fraction of 100 Decimal Percent 21
50
42
100
0.42 42% 1
4
33
100
35% 0.07 55% © Lincoln Public Schools, 2014 5th Grade Math Spiral Review Name: _______________________________________ Date: __________________ Fraction Concepts and Percents Remembering RE SR2 Practice for fluency… 5. What is the difference? 6. Mario has a shelf that is 7 feet 10 inches long. He wants to extend it by 2 feet 3 inches. What will be the length of the extended shelf? a. 5 feet 7 inches b. 9 feet 7 inches c. 10 feet 1 inch d. 10 feet 3 inches 3 1
− 4 5
a. c. !
!"
!!
!"
b. d. !
!"
!!
!"
Add or subtract. Write each sum or difference in simplest form. 7. 4
5
9 + 6 5
8
__________________ 8. 2
7
7 − 3 3
8
9. 2
3
6 − 1 8
12
__________________ 7
9
10. 3 + 4 8
12
_________________ _________________ Answer each question. Explain your thinking. 11. Complete the function table. Then graph the equation on the coordinate plane. 12. A group is cycling from Los Angeles to Boston, a distance of 2,979 miles. The group plans to complete the trip in 45 days. How many miles does the group need to cycle each day? Explain. © Lincoln Public Schools, 2014 5th Grade Math Spiral Review Addition and Subtraction Name: _______________________________________ Date: __________________ Add and Subtract Whole Numbers and Decimals HW SR3 Practice to review… I can add and subtract whole numbers and decimals! The strategies I learned in previous grades can help me add and subtract! I can also use different strategies to check my thinking. 5,724 + 3,580 = 5,724 − 3,580 = 45.35 + 7.46 = 45.35 − 7.46 = Practice to remember… Choose any strategy to find the sum or difference. Show how you know. 1. 45.6
+ 13.3 !
4. 385 − 37.75 _______________ © Lincoln Public Schools, 2015 2. 35,709
− 542 !
5. 5.6 + 0.72 ______________ 3. 2,567
− 1,560 !
6. 34.757 + 0.15 _______________ 5th Grade Math Spiral Review Addition and Subtraction Name: _______________________________________ Date: __________________ Remembering RE SR3 Practice for fluency… Use the following information for items 7-­‐8. The width of a rectangle is 7.5 in. The length is twice that. 7. What is the perimeter of the rectangle? a. c. b. 15 in. 56.25 in. d. 45 in. 112.5 in. 8. What is the area of the rectangle? a. c. 15 in.2 b. 56.25 in. 2 Suppose you toss a number cube that has sides labeled 𝟏𝟏, 𝟏𝟏, 𝟐𝟐, 𝟑𝟑, 𝟒𝟒, and 𝟓𝟓. Find the probability of each event. d. 45 in. 2 112.5 in. 2 9. A number greater than 2. ___________ 10. A multiple of 5. ___________ 11. !+ 11 12. !− 26 ___________ Write the absolute value of each integer. ___________ Answer each question. Use pictures, numbers, or words to show how you know. 13. Rhonda earns $625 a week. She needs to save 0.22 of her weekly check. Estimate how much she needs to save each week. Explain whether the actual amount she needs to save is greater or less than your estimate. 14. A machine makes 24 donuts every quarter hour. At this rate, how many donuts are made in two hours? Explain. © Lincoln Public Schools, 2015 5th Grade Math Spiral Review Name: _______________________________________ Date: __________________ Add With Unlike Denominators Add and Subtract Fractions HW SR4 Practice to review…I can add fractions and mixed numbers with unlike denominators! To add fractions or mixed numbers, I need to find common denominators. I can use equivalent fractions! The least common multiple of the denominators is one possible common denominator (the LCD). Think... 2
3
=
8
2
=
3
+
!
2
+
⬚
⬚
⬚
⬚
3 × =
8 × 2 × =
3 × I used the common denominator __________. Practice to remember… Choose a common denominator. Then write an equation using equivalent fractions and add. Write the sum in simplest form. 1. 3 1
+ 4 6
2. _________________ 5. 2
9
1
+ 3
6
!
6. 1
5
1
4 + 3 6
2
3. _________________ 1
4
5
+
! 14
7. 1
1
2 + 7 6
18
4. 4 5
+ 7 6
_________________ __________________ 1
8 7
+ 12
12
!
3
5 5
+ 4
9
!
5
8. 7
Answer the question. Show your thinking. !
9. Lyle jogs 1 ! miles three times a week. How far does Lyle jog each week? © Lincoln Public Schools, 2014 5th Grade Math Spiral Review Name: _______________________________________ Date: __________________ Remembering Add and Subtract Fractions RE SR4 Practice for fluency… Use the graph to answer the questions. 10. Which is equivalent to 0.005 ÷ 100 ? 11.
Which is equivalent to 1 ÷ 1,000 ?
a. 5 b. 0.5 a. !,!!!
c. 0.0005 d. 0.00005 c. !""
Classify each polygon in as many ways as you can. 12.
13.
!
!"
!""
d. !,!!!
!
!"
b. _______________________________________ _______________________________________ _______________________________________ _______________________________________ Write the opposite of each integer. 14. !+ 8 15.
______________ −
! 5 ______________ Answer each question. Show your thinking. 16. This rectangle has a perimeter of 44 in. What is the length of 𝑋𝑍? S how how you know. 17. Samantha says that all rectangles are squares and all squares are rectangles. Is she right? Explain. © Lincoln Public Schools, 2014 5th Grade Math Spiral Review Add and Subtract Fractions Name: _______________________________________ Date: __________________ Subtract With Unlike Denominators HW SR5 Practice to review…I can subtract mixed numbers with unlike denominators! I can use a number line to model subtraction of fractions and mixed numbers with like denominators. Sometimes I need to rename a mixed number so I can subtract. 4
1
=
4
4
2
=
8
3
⬚
think… ⬚
4
2
2
= 4 + 8
8
4
2
2
=3+
+
8
8
8
4
2
=3
8
8
3
3
3
− 2 = − 2 = − 2
8
8
8
!
3
1
1
4 − 2 = 1 8
6
4
Practice to remember… Choose a common denominator. Then write an equation using equivalent fractions and subtract. Rename mixed numbers if necessary. Write the difference in simplest form. 1. 7 5
− 8 16
2. _________________ 5. 7
3
5
7
− 4
10
!
6. 7
1
6 − 2 9
3
3. 2 4
− 3 9
_________________ 5
12
1
−
! 6
7. 4. _________________ 5
4
5
1
− 1
2
!
8. 3
1
8 − 3 4
3
__________________ 6
1
3
5
− 2
6
!
Answer each question. Show your thinking. !
9. Four inches of rain were predicted for the month of June, but only 2 ! inches actually fell. What is the difference between the predicted rainfall and the actual rainfall? Show how you know. © Lincoln Public Schools, 2014 5th Grade Math Spiral Review Name: _______________________________________ Date: __________________ Remembering Add and Subtract Fractions RE SR5 Practice for fluency… !
10. Alita has pieces of rope measuring 7 meters, 690 decimeters, 680 centimeters, and 7,100 millimeters. Which piece of rope is the longest? 11.
Lizzie made 1 gallons of punch for a party. If !
there are 8 people altogether and each person drinks the same amount, how many cups of punch will each person drink? a. 7 m b. 690 dm a. 2 c b. 4 c c. 680 cm d. 7,100 mm c. 3 c d. 6 c Find the value of each variable. 12. 𝑑 − 5 = 16 𝑑 = 13.
𝑠 + 3 = 14 𝑠 = 14. 12 = 6𝑚 𝑚 = 15.
45 ÷ 𝑑 = 9 𝑑 = Answer each question. Show your thinking. 16. At the end of her vacation, Morgan had $340. Her money was a combination of $100, $50, and $10 bills. If she had 17 bills, how many of each bill did she have? 17. Name two lower-­‐case letters that are transformations of the lowercase letter b. Show how you know. © Lincoln Public Schools, 2014 5th Grade Math