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Sample 6 Grade
Lesson Cycle
Teamwork Questions and Answers
Name
Team Mastery
Use mental math to solve.
1) 6,700 ÷ 5 =
2) 23 × 4 =
Explain your thinking.
3) 33 × 8 =
4) 7,200 ÷ 80 =
5) 44 × 9 =
6) 5,600 ÷ 5 =
Explain your thinking.
7) 24 × 5 =
8) 2,700 ÷ 90
9) 900 ÷ 5 =
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Teamwork Questions and Answers
1
10) 56 × 3 =
Explain your thinking.
11) 4,400 ÷ 110 =
12) 9,500 ÷ 10 =
13) 36 × 7 =
14) 8,300 ÷ 5 =
15) 61 × 6 =
16) 4,500 ÷ 50 =
Explain your thinking.
Challenge
17) 650 ÷ 20 =
2
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Teamwork Questions and Answers
Team Mastery Answer Sheet
1) 1,340
2) 92; Possible explanation: I broke 23 into tens and ones (20 + 3) and multiplied each part by 4.
20 × 4 = 80 and 3 × 4 = 12. The answer is the sum: 80 + 12 = 92.
3) 264
4) 90
5) 396
6) 1,120; Possible explanation: I thought about this as dividing by 10 and then multiplying by 2 to
compensate. 5,600 ÷ 10 = 560. Then 560 × 2 = 1,120. So, 5,600 ÷ 5 = 1,120.
7) 120
8) 30
9) 180
10) 168; Possible explanation: I broke 56 into tens and ones (50 + 6) and multiplied each part by 3.
50 × 3 = 150 and 6 × 3 = 18. The answer is the sum: 150 + 18 = 168.
11) 40
12) 950
13) 252
14) 1,660
15) 366
16) 90; Possible explanation: I saw the basic fact in here: 45 ÷ 5 = 9. I can divide both numbers by 10 and
get 450 ÷ 5, so the answer is 90.
17) 32.5
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Teamwork Questions and Answers
3
Quick Check
Name
Use mental math to solve.
17 × 9 =
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Quick Check
Quick Check
Name
Use mental math to solve.
17 × 9 =
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Quick Check
Homework Problems
Name
Team Name
Team Did Not Agree On
Questions…
Team Complete?
#’s
Quick Look
Mental math is a way to think about parts of numbers to make it easier to add, subtract, multiply, and
divide in our heads.
We can use basic math facts to do problems in our heads.
4,000 ÷ 80 = ?
4,000
I know 40 ÷ 8 = 5, so
the answer is 5 × 10 or 50.
80
We can also break apart numbers in a math problem and use the distributive property to find the product.
18 × 5 = ?
I can think of this problem as (10 + 8) × 5, so that is 10 × 5 + 8 × 5 or 90.
And if we have to divide by 5, we can think of it as dividing by 10 then multiplying by 2. It looks like this:
530 ÷ 5 = ?
I can think of ÷ 5 as ÷ 10 × 2. So, 530 ÷ 10 × 2 = 53 × 2 or 106.
Directions for questions 1–16: Use mental math to solve.
1) 8 × 6
2) 33 ÷ 3
3) 9 × 7
4) 81 ÷ 9
5) 270,000 ÷ 900
6) 46 × 5
7) 350 ÷ 5
8) 36,000 ÷ 120
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Homework Problems
1
9) 64 × 8
10) 2,700 ÷ 5
Explain your thinking.
Explain your thinking.
11) 6,800 ÷ 10
12) 81 × 7
13) 800 ÷ 5
14) 5,600 ÷ 700
15) 34 × 6
16) 630 ÷ 5
Mixed Practice
17) Estimate the value of the dot on the number line below:
18) Find the missing number.
45 ÷ _____ = 5
19) Subtract.
7
– 2
10
10
20) What is 1 of 650?
2
Word Problem
21) Use mental math to solve.
Jonas’ family is buying a new entertainment center. The unit they like best costs $4,060. If Jonas’
family pays the bill over 5 months, how much will they pay per month?
2
PowerTeaching: i3
©2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Homework Problems
For the Guide on the Side
In this lesson, your student learned some mental math strategies. Mental math is using number sense
to compute exact answers without using pencil, paper, or a calculator. You can find examples in
the Quick Look.
Using mental math is a practical life skill. If the time now is 3:18 pm, do I have enough time to grab a
snack before my bus comes at 3:39? Being able to solve problems like this in your head can help with all
sorts of everyday tasks. Also, practicing mental math helps your student estimate much more difficult
problems, like the long division problems he or she will work on in the next few days. If your student can
recognize a difficult division problem as very close to a problem easily solved with mental math, that can
speed up the calculation, make checking their work very easy, and increase confidence.
You might like to ask your student to explain the mental math strategies that were covered in the lesson,
and to keep track of everyday uses of mental math.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Homework Problems
3
Homework Answers
1) 48
2) 11
3) 63
4) 9
5) 300
6) 230
7) 70
8) 300
9) 512; Possible explanation: I broke apart 64 into 60 + 4, and then multiplied both addends by 8.
60 × 8 = 480, and 4 × 8 = 32. 480 + 32 = 512.
10) 540; Possible explanation: I know dividing by 5 is the same as dividing by 10 and then multiplying
by 2. So, 2,700 ÷ 10 = 270. 270 × 2 = 540.
11) 680
12) 567
13) 160
14) 8
15) 204
16) 126
Mixed Practice
17) Possible estimate: about 2.6
18) 9
19) 1
2
20) 325
Word Problem
21) Jonas’ family will pay $812 per month for the entertainment center.
4
PowerTeaching: i3
©2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 1
Homework Problems
Teamwork Questions and Answers
Name
Team Mastery
1) About how much will Alex owe per month if he spreads his TV purchase of $4,366 over 24 months?
Directions for questions 2 and 3: Look at the following problems. Would you need an exact answer?
Would an estimate be enough? Explain.
2) You and 5 friends go out for pizza. The total bill is $
tip. How much should each person pay?
3) Catherine orders
, plus you want to leave at least $
pies for a school event. If each pie costs $
for the
, how much will Catherine owe?
Directions for questions 4 and 5: Estimate. Show your work.
4) 21,845 ÷ 22
5) 865 × 9
6) Terry needs to finish a 345-page novel in a month. About how many pages should he read each day?
7) There are 157 students in the Select Chorus at Misha’s school. If each students brings 4 family
members to the concert, about how many people will be in the audience?
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 2
Teamwork Questions and Answers
1
Directions for questions 8 and 9: Look at the following problems. Would you need an exact answer?
Would an estimate be enough? Explain.
8) In math class, Mike received grades of
is his average grade?
9) You are having a party with
you need for the party?
,
,
, and
on the last four chapter tests. What
guests attending. Each table can fit
guests. How many tables will
Directions for questions 4 and 5: Estimate. Show your work.
10) 6,844 × 12
11) 1,385 × 14
12) 9,546 ÷ 12
13) 4,545 × 21
14) 1,825 ÷ 8
15) 4,583 ÷ 16
16) Celeste went to the store for school supplies for her children. She spent $19.26 on pencils, $68.85 on
a new backpack, $32.50 on 3-ring binders, and $144.32 on calculators for the new school year. Did
she spend over $200 on school supplies?
17) A cargo ship carries 23,602 new cars. If the crane that unloads the cargo can only pick up 12 cars at
a time, about how many loads of cars will the crane have to pick up to remove all of the cars?
Challenge
18) Nearly 7 of the 12,704 attendees at the conference purchased dinner at local restaurants. If the
8
average dinner price was about $28, how much was spent for dinner by the conference attendees?
2
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 2
Teamwork Questions and Answers
Team Mastery Answer Sheet
1) Possible estimate: $4,800 ÷ 24 = $200, so he will owe about $200 per month.
2) Estimate. Possible explanation: It would be easier to pick a number easily divisible by 6 that also has
a big enough tip. So, I’d do that instead of trying to calculate exactly how much pizza everyone ate
and exactly how much each person owes.
3) Exact. Possible explanation: She needs to know exactly how much it is so she brings enough money
to pay for them.
4) Possible estimate: 22,000 ÷ 22 = 1,000
5) Possible estimate: 900 × 9 = 8,100
6) Possible estimate: 300 ÷ 30 = 10, so Terry should read about 10 pages per day.
7) Possible estimate: 150 × 4 = 600; there will be about 600 people at Misha’s school concert.
8) Exact. Possible explanation: To find a grade you’d always figure the math exactly. Think about it: if
you were close to 89 and 90, you’d want to know for sure whether you got a B or an A.
9) Exact. Possible explanation: If you are having a party, you don’t want to underestimate the number of
tables so some people don’t have seats. So, find the exact number and round up so everyone has a
place to sit.
10) Possible estimate: 6,800 × 10 = 68,000
11) Possible estimate: 1,000 × 15 = 15,000
12) Possible estimate: 9,600 ÷ 12 = 800
13) Possible estimate: 4,500 × 20 = 90,000
14) Possible estimate: 1,800 ÷ 9 = 200
15) Possible estimate: 4,500 ÷ 15 = 300
16) Possible estimate: $20 + $70 + $30 + $150 = $270, so Celeste did spend over $200.
17) Possible estimate: 24,000 ÷ 12 = 2,000, so the crane will have to pick up about 2,000 loads to remove
all the cars.
18) Possible estimate: The conference attendees spent about $300,000 on dinner.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 2
Teamwork Questions and Answers
3
Quick Check
Name
Estimate. Show your work.
6,268 × 13
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 2
Quick Check
Quick Check
Name
Estimate. Show your work.
6,268 × 13
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 2
Quick Check
Homework Problems
Name
Team Name
Team Did Not Agree On
Questions…
Team Complete?
#’s
Quick Look
In everyday life, sometimes we need an exact answer and sometimes we can just estimate with an
informed guess. For example, figuring out how long two loads of laundry will take might only need an
estimate, but figuring out how much you owe for a phone bill might need to be exact.
In this lesson, you thought about different situations and decided where an estimated answer was good
enough, then practiced rounding and using compatible numbers when estimating.
For example, to estimate 5,793 × 23, you could round the numbers and get 6,000 × 20 = 12,000.
To estimate 4,326 ÷ 91, you could substitute compatible numbers and get 4,500 ÷ 90 = 50.
Directions for questions 1–3: Look at the following problems. Would you need an exact answer? Would
an estimate be enough? Explain.
1) The Brown’s have
cats. They feed each cat about
cat food should the Brown’s purchase each month?
pound of food each day. About how much
2) May-Lee and her friends compete in the 400-meter relay race. At their last track meet, the times for
each runner in the relay were
minutes,
their total time for the relay race?
minutes,
minutes, and
minutes. What was
3) The French club held an end of the year picnic.
pizzas were ordered for
pizza is cut into 8 slices, can each student have at least three slices?
PowerTeaching: i3
© 2012 Success for All Foundation
students. If each
Level F Unit 2 Cycle 1 Lesson 2
Homework Problems
1
Directions for questions 4–9: Estimate. Show your work.
4) 3,497 ÷ 58
5) 7,341 × 64
6) 80,925 ÷ 93
7) 6,513 ÷ 82
8) 8,621 × 13
9) 4,794 × 42
10) A local business is mailing out flyers about an upcoming sale. There are 43,864 flyers to go out and
22 employees to deliver the flyers. About how many flyers will each employee deliver?
11) A town needs about 8,165 hot dog buns for their big summer barbeque. When purchased in bulk, the
buns come in packages of 12. About how many packages should the town purchase?
12) A concert is being held for a fundraiser. Approximately 14,975 guests will be attending. If each ticket
cost $27, about how much money was raised in ticket sales?
Mixed Practice
13) Use mental math to solve:
14) What is 1 of 180?
2
90 × 19
15) Add.
4.15 + 0.7
16) Multiply.
46 × 31
Word Problem
17) Isabella has to estimate 53,709 ÷ 63. Explain how she could do this.
2
PowerTeaching: i3
©2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 2
Homework Problems
For the Guide on the Side
In this lesson, your student learned about estimating whole number computation. Estimating is basically
choosing easier numbers to work with (either by rounding or by finding compatible numbers) and then
doing the computation. You can find examples in the Quick Look.
Estimating is a very useful skill both inside and outside of the math classroom.
Outside the classroom, adults routinely estimate things like the time it takes for dinner to cook, the
amount of money we’ll owe at the grocery store, the number of minutes left on our cell phone, and even
the volume of leftovers so we pick a container big enough to hold them.
In the math classroom, estimating is an important and useful step in all kinds of calculations.
For example, estimating can definitely help your student become more comfortable with long division and
master it. Estimating the answer to a division problem first gives your student an idea of where to begin
the division process. For example, faced with a problem like 118,003 ÷ 29, your estimate of 100,000 ÷ 25
= 4,000 gives you a start on how many 29s are in 118 (about 4). Also, the estimate is a good clue as to
how many digits will be in the final answer. Finally, checking your calculated answer versus the estimate
is a great spot-check of your math.
You might like to ask your student to explain how she estimated a few of the homework problems. You
could also have her list the everyday situations where you estimate an answer.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 2
Homework Problems
3
Homework Answers
1) Estimate. Possible explanation: From the problem it looks like each cat doesn’t have an exact amount
of food each day, so they could just estimate how much they need in a month.
2) Exact. Possible explanation: At a track meet, you want to know the exact time for each event. That
way you can see whether or not your team is getting better or getting worse. Also, you can compare
your times to other relay teams that can’t make it to your track meet.
3) Exact. Possible explanation: To make sure they will have enough pizza, they should figure out 3
slices × the number of students exactly, and make sure they order enough pizzas so they have at
least that many slices.
4) Possible estimate: 3,600 ÷ 60 = 60
5) Possible estimate: 7,000 × 60 = 420,000
6) Possible estimate: 81,000 ÷ 90 = 900
7) Possible estimate: 6,400 ÷ 80 = 80
8) Possible estimate: 8,600 × 10 = 86,000
9) Possible estimate: 5,000 × 40 = 200,000
10) Possible estimate: 44,000 ÷ 22 = 2,000; each employee will deliver about 2,000 flyers.
11) Possible estimate: 8,000 ÷ 10 = 800; the town should purchase about 800 hot dog bun packages.
12) Possible estimate: 15,000 × $30 = $450,000; the concert raised about $450,000 in ticket sales.
Mixed Practice
13) 1,710
14) 90
15) 4.85
16) 1,426
Word Problem
17) Possible explanation: She should use compatible numbers in order to estimate; 54,000 and 60 are
compatible. So, 54,000 ÷ 60 = 900, so the estimate is about 900.
4
PowerTeaching: i3
©2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 2
Homework Problems
Teamwork Questions and Answers
Name
Team Mastery
1) The new car Mrs. Parsons likes costs $37,440. How much is the monthly payment if it is spread over
36 months?
2) 200,799 ÷ 67
3) 30,672 ÷ 852
4) Ted needs to pay off his student loan bill of $67,145 in 65 months. How much will he owe
each month?
5) Ben made 2,604 paper cranes. He wants to share them equally among his 31 classmates. How many
paper cranes will each classmate get?
6) 11,400 ÷ 456
7) 259,200 ÷ 48
8) Mueller’s Air Conditioning decides to give away 81 t-shirts at each of 12 baseball games to advertise
their business. How many t-shirts will Mueller’s give away?
9) A city police force recorded $12,615 in speeding fines last week. If 145 drivers were ticketed with
fines last week, what was the average fine per car?
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Teamwork Questions and Answers
1
10) A trucking company spent $9,295 on gallons of gas. Gas costs $11 per gallon. How many gallons of
gas did the trucking company purchase?
11) 1,530 ÷ 15
12) 53,625 ÷ 25
13) The parking lot at the supermarket has 14 equal rows with 47 spaces in each row. How many cars
can park in this lot at one time?
Challenge
14) In 315 days, a business stock’s worth increased to $315,833.18. What was the average increase
per day?
2
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Teamwork Questions and Answers
Team Mastery Answer Sheet
1) The monthly payment will be $1,040.
2) 2,997
3) 36
4) Ted will owe $1,033 each month.
5) Each classmate will get 84 paper cranes.
6) 25
7) 5,400
8) Mueller’s will give away 972 t-shirts.
9) The average fine per driver was $87.
10) The trucking company purchased 845 gallons of gas.
11) 102
12) 2,145
13) 658 cars can park in the lot at the same time.
14) The average increase was $1,002.65 per day.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Teamwork Questions and Answers
3
Quick Check
Name
Solve.
8,118 ÷ 41
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Quick Check
Quick Check
Name
Solve.
8,118 ÷ 41
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Quick Check
Homework Problems
Name
Team Name
Team Did Not Agree On
Questions…
Team Complete?
#’s
Quick Look
In this lesson you practiced long division. Let’s take a look at the steps involved.
The new car Ms. Parsons likes costs $37,440. How much is the monthly payment if it is spread over
36 months?
Step 1: Estimate. 36,000 ÷ 36 = 1,000, so about $1,000.
Step 2: Rewrite the problem and divide into each place of the dividend.
Step 3: Multiply, subtract, and bring down.
Here is one place you may get stuck:
Here is what to do:
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Homework Problems
1
1) The side of a building is 2,460 inches tall. Each brick of the building is 4 inches tall. How many bricks
tall is the building?
2) 35,174 ÷ 86
3) 132,176 ÷ 88
4) There were 14,910 hits to a math tutoring website last month. If there were 30 days in the month,
what was the number of hits per day (assuming an equal number each day)?
5) 8,052 ÷ 132
6) 35,235 ÷ 87
7) A soccer league has $1,140 to buy new soccer balls. If each ball costs $12, how many soccer balls can
the league buy?
Mixed Practice
8) Solve with mental math:
9) Solve with mental math:
4,620 ÷ 5
10) Estimate:
39 × 9
11) Estimate:
44,892 ÷ 506
9,628 ÷ 18
Word Problem
12) Explain the steps you used to solve question 3 above.
2
PowerTeaching: i3
©2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Homework Problems
For the Guide on the Side
In this lesson your student practiced long division of whole numbers. He used estimation to help solve the
problems and used multiplication to check his answers. He practiced making sense of real-world division
situations and solving them. You can find an example in the Quick Look.
Your student should be able to answer these questions:
Explain why you started this problem by multiplying the divisor by 8.
Walk me through how to do this. Why is this next?
What does this answer mean?
How can you check your answer?
Here are some activities to try.
1) Think of a real-life example of when you have to use division to solve a problem.
2) Find interesting averages. What is the average length of a commercial during your favorite TV
program? Use a stopwatch or digital timer to find out. What is the average number of text or email
messages your student receives per day over the course of a week? What is the average number of
steps people take between one store and another at the mall?
3) Use Khan Academy to review long division:
http://www.khanacademy.org/math/arithmetic/multiplication-division/v/division-2
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Homework Problems
3
Homework Answers
1) The building is 615 bricks tall.
2) 409
3) 1,502
4) The website had 497 hits per day.
5) 61
6) 405
7) The soccer league can buy 95 soccer balls.
Mixed Practice
8) 924
9) 351
10) Possible estimate: 4,500 ÷ 500 = 90
11) Possible estimate: 10,000 ÷ 20 = 500
Word Problem
12) Possible explanation: I saw that the number of hits per day would be the quotient of 14,910 hits
divided by 30 days. So I divided 14,910 by 30. 30 goes into 149 4 times, so I multiplied and
subtracted 120 from 149. 29 was left over, and then I brought down the 1. 10 goes into 291 9 times,
so then I multiplied and subtracted 270 from 291. The result was 21 and I brought down the zero.
30 goes into 210 7 times exactly. So, the quotient is 497 hits per day.
4
PowerTeaching: i3
©2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 3
Homework Problems
Teamwork Questions and Answers
Name
Team Mastery
Directions for questions 1–4: Solve. If your answer has a remainder, choose the best way to show it.
1) Tonia’s Pizza made $32,859 by selling pizza at the Spring Festival. Their booth was open for
54 hours of the festival. How much did Tonia’s Pizza make per hour of the festival?
2) Keisha’s food service company bought 619,309 apples from farmers. They have to distribute them
equally to 114 elementary schools. How many apples will each school receive?
3) Denise figured she spent 468 hours working at the community center last year. If she worked 90 days
at the center, how many hours did she average per day?
4) A car rental company rented 1,278 cars on Memorial Day weekend. The average price per rental was
$178. How much money did the rental company make during Memorial Day weekend?
Directions for questions 5–7: Solve. Show your answer three ways.
5) 1,564 ÷ 22
6) 9,623 ÷ 15
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Teamwork Questions and Answers
1
7) 984,515 ÷ 125
Directions for questions 8–11: Solve. If your answer has a remainder, choose the best way to show it.
8) Jenny made 347 cookies for a bake sale. She wants to sell them with 10 in a basket. How many
baskets will Jenny need for the bake sale?
9) The stadium for a professional baseball team sold 46,848 hot dogs on Opening Day. If each hot dog
cost $4, how much did the stadium earn from selling hot dogs?
10) Jacob has planned a road trip for vacation. The road trip is 2,450 miles long. If he plans on
completing the road trip in 11 days, how many miles will he need to drive each day to complete
the trip?
11) An ultra marathon relay team of 20 runners ran 1,365 miles. Assuming they all ran the same distance,
how many miles did each runner run?
Directions for questions 12–14: Solve. Show your answer three ways.
12) 1,626 ÷ 28
13) 98,547 ÷ 12
2
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Teamwork Questions and Answers
14) 462,108 ÷ 120
Directions for questions 15–17: Solve. If your answer has a remainder, choose the best way to show it.
15) Smith’s Tax Service earned $40,378 in fees for computing taxes for different clients last month. If the
company helped 118 clients last month, what was the average fee per client?
16) A delivery company has 14,465 packages to deliver this week. If 50 boxes can be delivered on one
single trip, how many trips will be needed?
17) Dana’s team worked together on an online math problem of the week to get bonus points. After they
sent in their answer, they received word that 17 other entries were also correct, so the 500,000 bonus
points would be split evenly between the 18 winners. How many points will each winner get?
Challenge
18) Joe enters a number ÷ 844 into a calculator and gets a quotient of 886.3223982.
Estimate to write the quotient two other ways.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Teamwork Questions and Answers
3
Team Mastery Answer Sheet
1) Tonia’s Pizza made $608.50 per hour of the festival.
2) Each school will receive 5,432 apples, and 61 apples will be left over.
3) She worked 5 1 hours per day on average.
5
4) The rental company made $227,484 on Memorial Day weekend.
5) 71 R2, 71 1 , 71.09
11
6) 641 R8, 641 8 , 641.53
15
7) 7,876 R15, 7,876 3 , 7,876.12
25
8) Jenny will need 34 baskets, and 7 cookies will be left over.
9) The baseball stadium earned $187,392 from selling hot dogs.
10) Jacob will need to drive 222 8 miles per day.
11
11) Each runner of the relay team ran 68 1 miles.
4
12) 58 R2, 58 1 , 58.07
14
13) 8,212 R3, 8,212 1 , 8,212.25
4
14) 3,850 R108, 3,850 9 , 3,850.9
10
15) The average fee per client was $342.19.
16) The delivery company will have to make 289 trips, and they will have 3 boxes left over.
17) Each winner will get 27,777 7 bonus points.
9
18) Possible estimates: 886 1 and 886 R280.
3
4
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Teamwork Questions and Answers
Quick Check
Name
Solve. Show your answer three ways.
67,083 ÷ 80
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Quick Check
Quick Check
Name
Solve. Show your answer three ways.
67,083 ÷ 80
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Quick Check
Homework Problems
Name
Team Name
Team Did Not Agree On
Questions…
Team Complete?
#’s
Quick Look
In this lesson, you practiced long division with remainders. Remainders can be shown as a whole
number, a fraction, or a decimal. One of the three ways might be most appropriate for a particular
situation. Here is an example from class:
68 teams raised $526,004 for a charity walk. On average, how much money did each team raise?
Because this problem is involves money amounts, using a decimal is the best way to show this quotient:
The average amount of money raised by each team was $7,735.35.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Homework Problems
1
Directions for questions 1–5: Solve. Show your answer three ways.
1) 32,859 ÷ 54
2) 7,502 ÷ 18
3) 984,515 ÷ 25
4) 14,652 ÷ 32
5) 135,496 ÷ 320
Directions for questions 6–9: Solve. If your answer has a remainder, choose the best way to show it.
6) 3,406 guests attended the Morris family wedding. For the reception, each table can seat 12 guests.
How many tables will be needed for the reception?
7) Ahmed’s income is $52,533 per year. How much does Ahmed earn per week (1 year = 52 weeks)?
8) An aquarium moved 11,888 fish into 88 separate tanks for a new display. On average, how many fish
were in each tank?
9) Myra worked a lot of overtime last month. Her check showed $1,435 in overtime. If she makes $14
per hour, how many overtime hours did Myra work last month?
2
PowerTeaching: i3
©2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Homework Problems
Mixed Practice
10) Estimate. Show your work.
89,452 ÷ 88
12) Multiply.
11) Divide.
22,256 ÷ 856
13) Write 3 as a decimal.
4
4,832 × 125
Word Problem
14) Explain the steps you took to solve question number 4 above.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Homework Problems
3
For the Guide on the Side
In this lesson your student practiced long division of whole numbers with remainders. They used
estimation to help solve the problems and used multiplication to check their answers. Your student
explored three different ways to write quotients with remainders, and considered which way was best for
different situations. You can find an example in the Quick Look.
Your student should be able to answer these questions:
What is a remainder?
Do you always get a remainder when you do long division?
Why does a fractional remainder make sense for this problem?
Why did you write this remainder as a whole number?
What does this answer mean about what’s happening in the problem?
How can you check your answer?
Here are some activities to try.
1) Think of a real-life example of when you would divide to solve a problem, and there would most likely
be a remainder.
2) Explore with your student what they think is a fair way to deal with remainders. What if you are
dividing up a loaf of garlic bread at dinner? What if you are splitting a bill for dinner out? What if you
have to divide up your classmates into teams, and they don’t divide evenly?
4
PowerTeaching: i3
©2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Homework Problems
Homework Answers
1) 608 R27, 608 1 , 608.5
2
2) 416 R14, 416 7 , 416.78
9
3) 39,380 R15; 39,380 3 ; 39,380.6
5
4) 457 R28, 457 7 , 457.875
8
5) 423 R136, 423 17 , 423.425
40
6) 284 tables will be needed for the Morris
wedding reception.
7) Ahmed earns $1,010.25 per week.
8) On average, there will be 135 fish in each
tank with 8 fish left over.
9) Myra worked 102 1 overtime hours last month.
2
Mixed Practice
10) 90,000 ÷ 90 = 1,000
11) 26
12) 604,000
13) 3 = 0.75
4
Word Problem
14) Possible explanation: First I estimated the quotient. My estimate was 15,000 ÷ 30 = 500. That gave
me a place to start the division, to see if 32 × 5 is close to 146. Then I kept multiplying, subtracting,
bringing down, and dividing more until I used all the digits. I still had a remainder of 28. So, one
answer is 457 R28. The remainder as a fraction is 28 , which you can simplify. So, a second answer
32
7
is 457 . Then I went back to the long division and added zeros after the decimal point in the
8
dividend to find the remainder as a decimal. I brought down three zeros and divided, and then I got a
remainder of zero. So, the third answer is 457.875.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lesson 4
Homework Problems
5
Cycle Check
Name
Directions for questions 1 and 2: Use mental math to solve.
1) 51 × 4
2) 4,200 ÷ 5
Explain your thinking.
Directions for questions 3 and 4: Estimate. Show your work.
3) 314 × 12
4) 3,804 ÷ 168
5) A shopping mall has decided to remodel the food court flooring. 14,653 tiles are needed and the tiles
ordered cost $33 per tile. About how much will the mall spend on tiles?
Directions for questions 6–8: Solve. If there is a remainder, show your answer three ways.
6) 8,544 ÷ 16
7) 22,282 ÷ 208
8) 386,052 ÷ 477
Directions for questions 9 and 10: Solve. If your answer has a remainder, choose the best way to show it.
9) The 617 students in Grade 6 are divided into 18 teams. How many students are on each team?
10) Mr. Rosenberg buys a used car for $37,050. How much will he pay per month if he takes 24 months
to pay it off?
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lessons 1-4
Cycle Check
Assessment Answers
Lesson 1: Use mental math strategies for multiplication and division.
1) 204
2) 840; Possible explanation: I thought about this as dividing by 10 and then multiplying by 2 to
compensate. 4,200 ÷ 10 = 420. Then 420 × 2 = 840. So, 4,200 ÷ 5 = 840.
Lesson 2: Estimate products and quotients and determine if an estimate or exact answer is
more appropriate.
3) Possible estimate: 300 × 10 = 3,000
4) Possible estimate: 4,000 ÷ 200 = 20
5) Possible estimate: 15,000 × $30 = $450,000. The mall will spend about $450,000 on the tiles.
Lessons 3 and 4: Use the standard algorithm to divide multi-digit whole numbers.
6) 534
7) 107 R26; 107 1 ; 107.125
8
8) 809 R159; 809
1 ; 809.33
3
Lesson 4: Divide multi-digit numbers using the standard algorithm and show remainders in
appropriate forms.
9) There will be 34 students on each team with 5 students left over.
10) Mr. Rosenberg will pay $1,543.75 per month.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 2 Cycle 1 Lessons 1-4
Cycle Check