Study Guide for Module 1 Quiz A
Place Value Patterns
1. Use the place value chart and arrows to solve each problem.
A. 6.267 x 100 =
B. 24.7 ÷ 10 =
2. A candy store had 4625 boxes of suckers. Each box contained 100 suckers. How many suckers were in the candy store? Explain or show your thinking.
3. What is the total number of zeros in the standard form of 4 x 10 ^5 ?
a. 3 b. 4 c. 5 d. 50
4. Complete the following blanks:
a. 1000 = 10 __
b. 100,000 = 10 __
c. 6 hundredths = ______
5. Which number is 100 times greater than 2 thousandths?
a. 0.2 b. 0.02 c. 2 d. 20
6. An office building ordered 15 boxes of pens. Each box contained 100 pens. If the pens are to be shared evenly among 10 employees, how many pens will each person get? Explain or show your thinking, and include a statement of the solution.
7. The average height of a 5th grade girl is 1.45 meters. Which TWO answers express the measurement in millimeters?
a. 1.45 x 101 mm d. 1.45 x 102 mm
b. 1.45 x 103 mm e. 1450 mm
c. 145 mm f. 14.50 mm
8. Which statement correctly compares 2 values?
a. The value of the 7 in 37.596 is 100 times the value of the 7 in 26.74
b. The value of the 7 in 37.596 is 1/100 the value of the 7 in 26.74
c. The value of the 7 in 37.596 is 10 times the value of the 7 in 26.74
d. The value of the 7 in 37.596 is 1/10 the value of the 7 in 26.74
9. Explain how the following problems can have the exact same answer when they use different amounts and different math operations.
9.25 x 103 = 9,250 925,000 ÷ 102 = 9,250
Study Guide for Module 1 Quiz B
Decimal Forms & Comparing Decimals
1. Write the following as decimal numerals.
a. fifty-two hundredths
b. seven hundred thirty- four and nine hundredths
c. 5 25/100
2. Write the following values in word form.
3. Write a decimal for the expanded form that is shown.
(3 x 10) + (7 x 1) + (6 x 0.1) + (9 x 0.01) + (5 x 0.001)
4. Mrs. Kulbeth wrote 2.634 on the board. Cara says that it is “two and six hundred thirty-four thousandths”. A.J. says that it is 2 ones 6 tenths 3 hundredths 4 thousandths. Who is correct? Use words and numbers to explain your answer.
5. Arrange these numbers in increasing order. (small - large)
a. 7.056 7.665 7.06 7.650
b. 27.14 27.414 27.4 27.44
6. Matt is 172.72 cm tall. Zach is 147.72 cm tall. Which boy is the tallest? Which boy is the shortest?
7. Show the numbers on the place value chart using digits. Use the >, <, or = to compare.
39. 798 ____ 39.789
Study Guide for Mid-Module 1 Test
Directions: Compare Using >, <, or =.
a. 0.5 0.138
b. 4 hundredths + 1 tenth 0.034
c. 1 one 4 tenths 3 hundredths 0.143
d. 25 tenths 2.5
e. 3 x 102+ 4 x 10 + 2 x 110 three hundred four and two tenths
f. 4.2 3.499
Model the number 3.33 on the place value chart.
a. Use words, numbers, and your model to explain why each of the digits has a different value. Be sure to use “ten times as large” and “one tenth as large” in your explanation.
b. Multiply 3.33 x 104. Explain the shift of the digits and the change in the value of each digit.
c. Divide the product from (b) by 102. Explain the shift of the digits and the change in the value of each digit.
Rainfall collected in a rain gauge was found to be 5.3 cm when rounded to the nearest tenth of a centimeter.
a. Circle all the measurements below that could be the actual measurement of the rainfall.
5.251cm 5.349cm 5.352cm 2.295cm
b. Convert the rounded measurement to meters. Write an equation to show your work.
( HINT: YOU MAY WANT TO USE - K H D W D C M )
Average annual rainfall totals for cities in New York are listed below.
Rochester 0.87 meters
Ithaca 0.437 meters
Saratoga springs 6.5 meters
New york city 1.568 meters
a. Put the rainfall measurements in order from least to greatest. Write the smallest total rainfall in word form and expanded form.
b. Round each of the rainfall totals to the nearest tenth.
c. Imagine New York City’s rainfall is the same every year. How much rain would fall in 100 years?
d. Write an equation using an exponent that would express the 100 year- total rainfall. Explain how the digits have shifted position and why.
Study Guide for Module 1 Quiz D
Adding & Subtracting Decimals
1. Solve, and then write each sum or difference in standard form.
a. 6 ones 3 tenths + 8 tenths = __ ones __tenths = ___
b. 15 tenths + 45 tenths = __ tenths = __ones __tenths = _____
c. 7 tenths – 4 tenths = __ tenths = ___
d. 6.3 – 4.1 = __tenths - __tenths = ___tenths = ___
2. Mrs. LyBrand had 0.76 grams of cocoa before she started baking. She used 0.49 grams of cocoa to make a batch of brownies. How much cocoa does Mrs. LyBrand have left?
3. Solve these problems using the standard algorithm.
a. 27.62 + 9.73 = b. 35.03 – 12.75 =
4. Mr. G bought ingredients to make a snack mix. He bought 1.56 pounds of Cheerios, 2.92 pounds of peanuts, and 3.065 pounds of M&Ms. How many pounds of ingredients did he buy in all?
5. Use the place value chart and disks to solve. Record your work vertically using the standard algorithm.
a. 2.658 + 5.297 = b. 5.32 – 2.82 =
6. Ms. Nixon wrote 7 tenths minus 4 hundredths on the board. Celeste said the answer is 3 tenths because 7 minus 4 is 3. Is she correct? Explain.
Study Guide for Module 1 Quiz E
1. Addie has 5 small cups of juice. Each cup contains 0.45 fluid ounces of juice. How many fluid ounces of juice does Addie have in all? Circle the correct answer.
a. 2.7 oz
b. 2.25 oz
d. 4.5 oz
2. Abby Kate is training her horse to run a new trail. Her horse ran 2.75 miles of the trail. Last week, Abby Kate and her horse went on the trail 4 times. How many miles did the horse run last week?
3. Coree multiplied 5 x 3.4 and got 15.12. Is Coree correct? Use an estimation first to determine if your answer is reasonable and then use the area model to explain your answer.
4. Solve the problem by drawing discs on a place value chart. Write an equation and then express the product in standard form.
4 times 5 tenths
5. Solve the following problems using any multiplication strategy you choose.
a. 6 x 1.23
b. 5.82 x 3
c. 2 times more than 12.65
Study Guide for Module 1 Quiz F
1. Use discs on the place value chart to solve the division problems below. Then show each step using the standard algorithm.
6.45 ÷ 5 = 4.236 ÷ 3 =
2. Complete the sentences with the correct number of units and then complete the equation.
a. 2 groups of __ tenths is 1.6 1.6 ÷ 2 = ___
b. 6 groups of __ hundredths is 4.2 4.2 ÷ 6 = ___
3. Mrs. Kulbeth paid $40.68 for 3 pounds of lobster. What is the cost of only pound of lobster?
4. Zach ran 47.5 miles last week. He ran 6.3 miles on Monday and 9.7 miles on Tuesday. He ran the rest of his miles in equal lengths on Wednesday, Thursday, and Friday. How many miles did he run on each of those last 3 days of the week? Show your work and explain your answer.
5. Mrs. LyBrand is making treat bags for Halloween from a large bag of candy that weighs 6.5 pounds. If she puts the same amount of candy into 5 different treat bags, how much will each of the treat bags weigh?
a. 1.1 pounds
b. 1.2 pounds
c. 1.3 pounds
d. 1.4 pounds
e. 1.5 pounds
Study Guide for End-of-Module 1
1. The following equations involve different quantities and use different operations, but still produce the same result. Use the place value chart and words to explain why this is true.
2.35 x 10^3 = 2350 235,000 ÷ 10^2 = 2350
2. Use an area model to explain the product of 3.5 and 6. Write the product in standard form, word form, and expanded form.
3. Compare these numbers using >, <, or =.
a. 4 tenths + 9 tenths 0.13
b. 12 tenths + 5 tenths + 6 hundredths 1.67
c. 345 hundredths + 7 tenths 3 + 55 hundredths
d. 4 + 5 x 1/10 + 7 x 1/100 4.57
e. 12 + 55 x + 4 x 17.540
f. 0.4 x 10^2 + 0.007 x 10^3 0.4 x 10 + 0.7 x 10^2
4. Mr. G mixed 3.458 pounds of Snickers, 4.958 pounds of Twix, and 6.212 pounds of Reese’s to make 12 Halloween treat bags for his trick-or-treaters.
a. About how much candy did he mix in pounds? Estimate the amount of each candy by rounding to the nearest tenth of a pound before finding the sum. Show all of your work.
b. Find the actual amount of candy that Mr. G mixed. What is the difference between your estimate and the actual amount?
c. How much would one of Mr. G’s treat bags weigh? Explain your strategy for solving this problem.
d. Round the weight of one treat bag to the nearest one hundredth.
Study Guide for Module 2 Quiz A
Multi-Digit Whole Number Multiplication
Find the products.
1. 2,000 x 40 = 2. 5,000 x 300 =
3. Explain how using 40 x 7 = 280 can help you find the solution to 400 x 700.
Estimate the products by rounding each factor.
4. 784 x 211 ≈ 5. 3,795 x 692 ≈
6. Tickets to a concert are $40 for adults and $20 for children. There are 50 adults attending the concert and 70 children attending the concert. How much money will be spent buying tickets for the concert? Show all of your work and label your answer.
Study Guide for Module 2 Quiz B
Multi-Digit Whole Number Multiplication
1. Draw a model. Then, write the numerical expressions.
a. the sum of 3 and 5, tripled
b. 4 times the sum of 10 and 3
2. Write the numerical expressions in words. The first one has been done for you.
3 x (7 + 20) three times the sum of 7 and 20
2 x (35 – 15)
(11 x 3) + (14 x 3)
(10 – 5) x 6
3. Circle the expression that is NOT equivalent to 74 x 59.
a. 74 x (50 + 9)
b. 74 x (60 – 1)
c. (74 x 5) + (74 x 9)
d. 59 seventy-fours
4. Solve using mental math. Draw a tape diagram and fill in the blanks to show your thinking.
a. 17 x 25 = ______ twenty-fives
Think: 10 twenty-fives + 7 twenty-fives
= ( ____ x 25) + ( ____ x 25)
= ______ + ______
b. 19 x 12 = ______ twelves
Think: 20 twelves - 1 twelve
= ( ____ x 12) - ( ____ x 12)
= _____ - _____
5. Mr. G is building a deck that measures 15 ft by 19 ft. Find the area of the deck using a mental strategy. Show your work and explain your thinking. (Remember: to find the area of a rectangle, you multiply the length x width)
6. Explain how the problem 12 x 50 could help you to solve the problem 12 x 49 easier.
7. Draw an area model, and then solve using the standard algorithm.
23 x 46 =
Study Guide for Module 2 Quiz C
1. For each problem, estimate the product. Draw an area model. Then, solve using the standard algorithm.
a. 62 × 34
b. 115 × 19
c. 421 x 205
2. Adrienne solved 437 x 31 in the following way:
4 3 7
4 3 7
1 3 1 1
1 7 4 8
Select the answer that best represents her mistake.
A. She did not add the partial products correctly.
B. She did not use a placeholder for the ones place.
C. She did not regroup properly.
D. She did not multiply to find the first partial product.
3. The fifth grade students in the Conway School District are going to take a field trip. The school district will need to purchase tickets for the 635 students to attend the field trip. Each ticket will cost $125. What is the total amount of money that will be spent on tickets?
4. One Saturday at the shopping mall, each of the 26 stores made $943 in profit. How much profit did all of the stores make that Saturday?
Study Guide for Module 2 Quiz D
1. Mrs. Tate is putting new carpet in her bedroom. Her bedroom is 26 feet wide and 38 feet long. If the carpet sells for $6.50 per square foot, how much money will Mrs. Tate spend putting new carpet in the bedroom?
2. Mrs. Kulbeth is ordering food for a Christmas party. She ordered 21 pizzas at a cost of $7.50 each and 8 pans of brownies at a cost of $8.95 each. How much money did she spend on food for the party?
Estimate each product and then solve using any multiplication strategy.
3. 5.2 x 24
4. 12.8 x 19
5. 6.87 x 72
6. 3.54 x 334
Study Guide for Mid-Module 2 Test
Whole Number & Decimal Multiplication
1. Fill in the chart below.
Words Expression Value of the Expression
a. 10 times the sum of 25 and 15
b. divide the difference between 600 and 20 by 10
c. the sum of 5 twelves and 15 twelves
d. 6 x (3 + 10)
e. (150 + 550) x 20
2. Compare the 2 expressions using >, <, or =. For each expression, explain how you can determine the answer without actually calculating the answer.
a. 18 x 27 20 twenty-sevens minus 1 twenty-seven
b. 19 x 9 3 nineteens, tripled
c. 200 x 5 100 x (2 x 6)
3. Solve. Use words, numbers, or pictures to explain how your answers to parts a and b are related.
a. 32 x 16 = __ b. 3.2 x 16 = __ = 32 tenths x 16 = __
4. Multiply using the standard algorithm. Show your work below each problem. Write your answer in the blank. a. 412 x 33 =
b. 586 x 305 =
5. For the Christmas party, Mrs. Kulbeth bought 35 sandwiches for $3.75 each and 18 bags of chips for $2.25 each. How much money did Mrs. Kulbeth spend in all?
6. Mrs. Tate is making necklaces for a booth at Toad Suck Daze. Each necklace requires 2.5 yards of string.
a. At the store, string is sold by the foot. If Mrs. Tate wants to make 75 necklaces, how many feet of string will she need to buy? Show all of your work.
b. If the string costs 12¢ per foot, what is the total cost of the string in dollars? Explain your reasoning, including how you decided where to place the decimal.
c. A manufacturer is making 100 times more necklaces than Mrs. Tate needs. Write an expression using exponents to show how many yards of string the manufacturer will need. You don’t need to solve the expression. (Remember that Mrs. Tate only needs 75 necklaces.)
Study Guide for Module 2 Quiz F
Multi-Digit Whole Number Division
Solve each problem by showing your work, performing the needed calculations, and labeling the correct answer. Some problems may ask you to check your answers by multiplying.
1. Divide using any strategy
a. 420,000 ÷ 60 b. 420,000 ÷ 600 c. 420,000 ÷ 6000
2. Zach has 560 pieces of candy. If he shares them among 80 friends, how many pieces of candy will each friend get?
3. A roll of wallpaper covers 94 square feet. How many rolls of wallpaper will Matt need to cover 1,974 square feet of wall space?
4. A coin collector is going to arrange his 223 coins into rows of 12. He divides 223 by 12 and gets a quotient of 18 with a remainder of 7. Explain what the quotient and the remainder represent in this problem.
5. Ms. Nixon baked 540 brownies. She sold them in boxes of 18 each. How much money did she make if she sold each box of brownies for $9.50?
6. If a school bus can seat 65 students, how many buses are needed to transport 852 students to the zoo? Explain your answer.
7. Mr. G slept a total of 98 hours over the course of two weeks. If he sleeps for the same amount of time each night, how many hours does he sleep per night?
8. Divide and then check each problem using multiplication.
a. 547 ÷ 8 b. 245 ÷ 5 c. 476 ÷ 28 d. 1,375 ÷ 31
Study Guide for Module 2 Quiz G
Multi-Digit Decimal Division
1. Divide using any strategy. Show your work.
a. 14.7 ÷ 7 = b. 14.7 ÷ 70 =
c. 2.73 ÷ 3 = d. 27.3 ÷ 30 =
2. Divide. Then check your work with multiplication. Show all of your work.
a. 45.15 ÷ 21 b. 14.95 ÷ 65 c. 97.58 ÷ 34
Solve each problem by showing your work. Perform the needed calculations and then label your answer.
3. What is the length of a rectangle whose width is 9 inches and whose area is 112.5 in2?
4. Kulbeth’s Kandy Shop has 16 bags of sugar in the pantry. Each bag weighs 3.56 pounds. They will use all of the sugar to make 20 batches of cookies this week.
a. What is the total number of pounds of sugar in the Kandy Shop pantry? Show all of your work and label your answer.
b. Each batch of cookies uses an equal amount of sugar. How many pounds of sugar will they use for each batch of cookies? Show all of your work and label your answer.
Study Guide for End-of-Module 2
1. Fill in the blanks below with the missing divisor.
a. 8.4 ÷ __________ = 0.084
How do you write 100 using an exponent? ______________
b. 4,872 ÷ __________ = 4.872
How do you write 1000 using an exponent? _____________
c. 167,688 ÷ __________ = 1.67688
How do you write 100,000 using an exponent? __________
2. Estimate the quotient by rounding the divisor and dividend. (think of a 1-digit multiplication fact to help you) Then, explain your thinking in the space below.
a. 247 ÷ 42 ≈ _______ b. 1531 ÷ 34 ≈ _______
3. Make and solve another division problem with the same quotient and remainder as the problem below. Explain your strategy for creating your new problem.
4. Hannah says that 156 ÷ 24 and 102 ÷ 15 are both equal because both have answers of “6 remainder 12”. Is this correct? Use your knowledge of decimal division (and equivalent decimals) to help you solve the problems below. Explain your answer.
6 R12 6 R12
24 ) 156 15 ) 102
-144 - 90
5. A rectangular yard has an area of 2100 square feet. If the width of the yard is 28 feet, what is length of the yard? Show all of your work. Be sure to include a label on your final answer.
6. A chef uses 3.5 pounds of flour each day.
a. How many ounces of flour does the chef use each day? (16 oz = 1 lb.)
b. How many ounces of flour does the chef use in 3 weeks?
c. The chef’s recipe for donuts calls for 12 ounces of flour. If he uses all of his flour to make the donuts, how many batches of donuts can he bake in 3 weeks?
d. The chef wants to pack all of his donuts into boxes to send them to the bakery. He can get 16 donuts into each box. How many boxes will he need in order to ship all of the donuts
that he’s baked to the bakery? (one batch = 60 donuts)
e. The chef purchased cocoa, sugar, and butter to make his famous donuts. He pays 95¢ per pound for sugar, $1.40 per pound for butter, and $1.75 per pound for cocoa. The chef purchased 20 pounds of sugar, 10 pounds of butter, and 5 pounds of cocoa. Write an expression that will show how much the chef spent buying the ingredients at the market.
f. Candy toppings for the donuts cost just as much per pound as sugar (95¢). What is 1/10 the cost of 100 pounds of candy toppings? Explain the number of zeros and the placement of the decimal in your answer using a place value chart.
Study Guide for Module 3 Quiz A
Equivalent Fractions & Fractions
on a Number Line
1. Estimate to mark points 0 and 1 above the number line, 0/5, 1/5, 2/5, 3/5, 4/5, and 5/5 below it. Then, use the squares below to represent fractions equivalent to 1/5 using arrays and equations.
2. Solve each expression using a number line.
a. 2/3 + 3/3 = b. 4/4 + 3/4 =
3. Solve the expression by drawing the rectangular fraction model.
a. 1/2 + 1/3 = b. 3/4 + 1/5 =
Study Guide for Mid-Module 3
Adding & Subtracting Fractions
1. Claire read 1/4 of her book on Friday, 1/4 of her book on Saturday, and 1/3 of her book on Sunday. How much of her book did she read over the weekend? Draw a diagram to support your answer. Be sure to label the diagram.
2. Mrs. LyBrand used 1/4 of a pound of butter to make a cake. Before she started, she had 7/8 of a pound of butter. How much butter did Mrs. LyBrand have when she was finished baking her cake? Write your fraction as a fraction of a pound.
3. With the remaining butter (from making the cake), Mrs. LyBrand decided to make a batch of brownies. She needs 1/3 pound of butter to make one batch of brownies. Does Mrs. LyBrand have enough butter to make the batch of brownies? Does she have enough to make two batches of brownies? Support your answer using a diagram, numbers, and words.
4. Mrs. Kulbeth bought a large pizza. Matt ate 3/8 of the pizza. Zach ate 1/4 of the pizza. Mr. Kulbeth ate some of the pizza and left only 1/8 of the pizza for Mrs. Kulbeth. How much pizza did Mr. Kulbeth eat? Support your answer using a diagram, numbers, and words.
Study Guide for Module 3 Quiz C
Adding & Subtracting Fractions
1. Add or subtract. Simplify if possible.
a. 5 + 1 5/8 =
b. 6 - 2 2/3=
c. 4 – 3 1/7 =
d. 2 + 4 5/9=
2. Make like units, and then add or subtract. Simplify if possible.
a. 1 5/6 + 2 3/4
b. 3 1/2 – 1 3/10 =
3. Hannah ate 1/2 of the pizza. Lori ate 2/5 of the pizza. How much of the pizza did they eat altogether?
4. Mr. Gunsolus hiked 7/8 mile on Saturday. Mrs. Masters hiked 1/3 mile. How much further did Mr. Gunsolus hike than Mrs. Masters?
5. Matt ran 3 1/4 miles on Monday. Tuesday he ran 2 7/8 miles, and on Wednesday, he ran 2 3/4 miles. How many miles did Matt run altogether?
6. Ms. Nixon decided to spend 6 1/2 hours reading over the weekend. She spent 2 2/3 hours reading on Friday evening and 1 1/4 hours reading on Saturday morning. How much longer does she need to read during the weekend in order to reach her goal?
Study Guide for Module 4 Quiz A
Line Plots & Understanding Fractions as Division
Madden’s math teacher asked each student to walk around the room and measure the heights of other classmates. Several months later, the students repeated the height calculations on the same students. Afterwards, they calculated how much each classmate had grown. Madden recorded her calculations in the table below.
Growth of Mrs. Kulbeth’s Students’
Student Measured Inches Grown
Coree 1 1/4
Mary Claire 1/2
1. Use the data in the table above to complete the line plot below. Be sure to give it a title.
0 1/8 1/4 3/8 1/2 5/8 3/4 7/8 1 1 1/8 1 1/4 1 1/2
Amount Grown (in inches)
a. Which student grew the least amount? __________________________
b. Which student grew the most? _____________________________
c. How many students grew more than ½ inch? __________________
d. What was the most common height in Madden’s class? ________________
e. How much taller did Coree grow than Jada? ___________________
2. Fill in the chart below. The first one has been done for you.
Division Exp. Improper Fraction Mixed # Standard Algorithm
a. 7 ÷ 8 7/8 x 7/8
c. 2 2/5
d. 5 ÷ 2
3. A baker made 9 cupcakes. Four people want to share them equally. How many cupcakes will each person get?
4. 40 students shared 5 pizzas equally. How much pizza will each student receive?
5. Mrs. LyBrand had 3 two-liter bottles of soda that she wanted to share equally between 10 people. How much soda did each person receive? Write your answer as a fraction of a liter.
Study Guide for Mid-Module 4
1. Multiply or divide using any strategy.
a. 1/2 x 7 = b. 2/5 x 30 =
c. 1/6 of 3 yards = _ feet d. 4 x 13 =
2. Circle the expression(s) that are equal to 2/3 x 4
a. 2 x (4 ÷ 3)
b. 2 ÷ (3 x 4)
c. (2 x 4) ÷ 3
d. 2 x 4/3
3. Write the following as an expression.
a. one-third the sum of 6 and 3
b. 4 times as much as 1 third of 8
c. subtract 5 from 1/3 of 30
4. Mr. Sisson used buckets to collect rainfall in different locations around his new house. The line plot below shows the amount of rainfall he collected in each bucket in gallons.
Amount of Rain (in gallons)
x x x
x x x x x
0 1/4 1/2 3/4 1 1 1/4 1 1/2 1 3/4 2
a. What was the most frequent amount of rain found in the bucket at Mr. Sisson’s house?
b. What is the difference between the most rainfall and the least amount of rainfall in the buckets (the range)?
c. What was the TOTAL amount of rainwater in all ten of the buckets?
5. Mrs. Tate used the following recipe to make a chocolate cake. She decides to make only 2/3 of the following recipe:
1/2 cup flour
3 cups melted butter
1 1/2 cups Nutella
a. How much of each ingredient will she need?
Study Guide for End-of-Module 4
Multiplying & Dividing Fractions
1. Solve the following problems. Draw a rectangular fraction model to show your thinking and prove your answer is correct.
a. 1/4 x 1/3
b. 1/3 of 1/2
c. 1/5 x 1/2
d. 3/4 of 2/3
e. 3/5 x 3/8
f. 2/3 of 3/5
2. Mrs. Masters baked 60 cookies for a fund-raiser. She sold 2/3 of them and gave 3/4 of the remaining cookies to Mr. Gunsolus. How many cookies will she have left?
3. Ms. Nixon made 1.7 liters of sweet tea for lunch. She poured 3 tenths of the sweet tea into her glass. How many liters of tea are in the glass?
4. Express each fraction as an equivalent decimal.
e. 2 6/25
f. 3 31/50
g. 4 3/5
5. Mrs. LyBrand bought 3 large bags of candy at the store. She puts 1/4 scoop of candy into each treat bag. How many treat bags will she be able to make?
6. Mrs. Kulbeth ordered 7 sub sandwiches for a party. She cut each sub into thirds and put them on a tray. How many sandwiches were on the tray?
7. Mrs. Tate has read 1/3 of her book. She finishes her book by reading the same amount each night for 5 nights. What fraction of the book does she read each of the 5 nights?
8. Mrs. Masters and Mrs. Powers will be running in a race that will be 18.9 km long!
a. If there are volunteers that set up water stations every 0.7 km, including one at the finish line, how many stations will they have?
b. If there are volunteers that set up first aid stations every 0.9 km, including one at the finish line, how many stations will they have?
Study Guide for Mid-Module 5
1. Tell the volume of each solid figure made of 1-inch cubes. Specify the correct unit of measure.
a. b. c.
(students should be able to count the number of cubes in each figure)
2. John found the volume of the prism pictured to the right by multiplying 3 × 5 and getting 15. He then added 15 + 15 + 15 + 15 = 60. He says the volume is 60 cubic inches.
a. Jill says he did it wrong. He should have multiplied the bottom first (4 × 3) and then multiplied by the height of 5. Explain to Jill why John’s method works and is equivalent to her method. How was John thinking about the prism? How was he dividing the prism into layers?
3. If the figure below is made of cubes with 2 cm side lengths, what is its volume? Explain your thinking. Remember, each cube has a side length of 2cm.
(students should be able to count the number of cubes in the figure to determine the L,W, and H of the prism and then multiply each dimension by 2 since each cube has a length of 2cm)
4. The volume of a rectangular prism is 840 in3. If the area of the base is 60 in2, find its height. Draw and label a model to show your thinking.
5. The following column is made of two right rectangular prisms that each measure 12 inches long, 4 inches wide, and 5 inches high. The other rectangular prism measures 10 inches long, 4 inches wide, and 22 inches high. What is the total volume of the column? Show all of your work. Be sure to include your unit of measure.
Study Guide for End-of-Module 5
Area & Polygons
1. The width of a picnic table is 5 times its length. If the length is 2 yd long, what is the area of the picnic table in square feet?
2. Be able to Identify the following polygons:
3. Use the following word list to answer the questions below. Some words may be used more than once.
Equilateral triangle Square Trapezoid
Parallelogram Rectangle Rhombus
a. A square is also like a ____ because it has 4 right angles and equal, opposite sides.
b. A ______ has 2 pairs of parallel lines and the opposite sides are the same length.
c. A _____ is like a square because all 4 sides have the same length.
d. A ______ will NEVER be a rectangle because it only has one pair of parallel lines.
e. A ______, _____, and a ____ all have equal sides.
f. A _____ is like a ______ because they are both quadrilaterals with equal and opposite angles that don’t have to be right angles.
g. A ____ and a ______ both are quadrilaterals with 4 right angles.
4. Use what you know about quadrilaterals to answer each question below.
a. Explain when a trapezoid is not a parallelogram.
b. Explain when a kite is not a parallelogram.
c. What makes a rhombus different from a square?
d. Can a parallelogram be a rectangle? Why or why not?
e. What quadrilateral can be given more names than any other shape? ______