Spiral Review Name: _______________________________________ Date: __________________ Equivalent Fractions and Simplest Form Fraction Concepts and Percents 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. 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. 10 10 ÷
=
18 18 ÷
2•5
2 • 5 10
=
=
=
18 2 • 3 • 3 2 • 3 • 3
=
Practice to remember… Complete. Show your work. 1.
4
=
30 15
2. 5
= 35 7
3.
5 20
=
6
6.
50
=
60
9.
100
=
250
Write two equivalent fractions for each. Show your work. 4. 6
=
9
=
5. 1=
=
=
Write each fraction in simplest form. Show your work. 7.
48
=
56
© Lincoln Public Schools, 2016 8.
15
=
45
5th Grade Math Spiral Review Fraction Concepts and Percents Name: _______________________________________ Date: __________________ Remembering
RE SR1 Practice for fluency… 10. What is the best estimate of 53,500 ÷ 62?
a.
c.
9
900
b. 90
d. 9,000
11. What is 0.16 as a fraction in simplest form?
a. c. Write each ratio as a percent. !"
b. !
d. !"""
!"
!"
!""
!
!"
Write each percent as a ratio in simplest form. 41
12. ___ 100
___________ 13. 45% ___________ 88
14. ___ 100
___________ 15. 43% ___________ 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 parts. How many pieces did she have
then? Show how you know.
© Lincoln Public Schools, 2016 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 nd
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
!
2. 35,709
− 542
!
3. 2,567
− 1,560
!
4.
385 − 37.75
5.
5.6 + 0.72
6.
34.757 + 0.15
_______________ © Lincoln Public Schools, 2016 ______________ _______________ 5th Grade Math Spiral Review Addition nd
Subtraction
Name: _______________________________________ Date: __________________ Remembering
RE SR3
Practice for fluency…
Use t he following information for it ems 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.
15 in.
56.25 in.
b.
d.
45 in.
112.5 in.
8.
What is the area of the rectangle?
15 in.2
a.
c.
Add or subtract. Write each sum or difference in simplest form.
9. 11.
4 3
+ 5 5
3
7
+
10 10
10.
56.25 in. 2
b.
d.
45 in. 2
112.5 in. 2
3 3
+ 4 4
3
12. 5 − 2 4
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, 2016 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. 3.
_________________ 6. 2
9
1
+ 3
6
!
1
5
1
4 + 3 6
2
1
4
5
+
! 14
1
1
2 + 7 6
18
4.
_________________ 7. 1
8
7
+ 12
12
!
5
4 5
+ 7 6
__________________ 8. 3
5
5
+ 4
9
!
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, 2016 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.
!""
!
!"
!"
b. !""
d. !,!!!
!
Classify each polygon in as many ways as you can. 12.
13.
_______________________________________ _______________________________________ _______________________________________ _______________________________________ Find each product.
14.
79
× 8
!
15.
43
× 7
!
Answer each question. Show your thinking. 16. This rectangle has a perimeter of 44 in. What is the length of 𝑋𝑍? Show how you know.
17. Mr. Grant wants to find the length and width of a doorframe so that he can install a new door. Is a
precise measurement needed or is an estimate sufficient? Explain.
© Lincoln Public Schools, 2016 5th Grade Math Spiral Review 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. Add and Subtract Fractions 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
!
1
3
1
4 −2 =1
4
8
6
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
1
6 − 2 9
3
3.
_________________ 6. 7
− 4
10
!
5
12
1
−
! 6
2 4
− 3 9
4.
_________________ 7. 5
4
5
__________________ 8. 1
− 1
2
!
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, 2016 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.
Caleb has $45. A jacket originally priced at $65 is now on sale for 0.25 off the original price. Does Caleb
have enough money to buy the jacket? Explain your answer.
© Lincoln Public Schools, 2016 5th Grade Math