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Name _______________________________________ Date __________________ Class __________________

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Grade 6 13 Common Core Assessment Readiness

6.NS.1

SELECTED RESPONSE Select the correct answer.

1. You have 7

8 cup of sour cream to make

tacos. If each taco requires 1

16 cup of

sour cream, how many tacos can you

make?

7

128 taco 14 tacos

1

14 taco 15 tacos

2. How many 1

2-cup servings are there in

7

8 cup of peanut butter?

1

16

4

7

7

16

31

4

3. Carl wants to plant a garden that is

11

2 yards long and has an area of

13

2 square yards. How wide should the

garden be?

3

7yard

12

3 yards

2 yards 1

54

yards

4. Divide. 3 17

7 19

3

133

51

133

57

119

119

57

5. Nima uses 2

3 cup peanuts,

1

2 cup

cashews, 3

4 cup pecans, and some

raisins in a recipe that makes 1

24

cups of

trail mix. How many cups of peanuts are

there per cup of trail mix?

2

9

8

27

3

9

27

8

6. Jerry is tiling the wall behind his sink. The

tiles he’s using are square with sides that

measure 3

14

inches. If the area of wall

he’s tiling is 42 inches long and 3

294

inches high, how many tiles will he need?

17

24

408

1

12492

CONSTRUCTED RESPONSE

7. The following division is being performed

using multiplication by the reciprocal.

Find the missing numbers.

5 ? 5 ? 1

12 3 12 1 ?

0

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



8. Ida is cutting a 11

12-foot wooden board

into 3

16-foot sections to do some detail

work on a model she is building. How

many whole 3

16-foot sections are there in

the 11

12-foot wooden board? Explain your

answer and show your work.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

9. Baruka has 1

2 gallon of milk left in the

fridge.

a. How many 5

64-gallon (10-ounce)

servings of milk does she have left?

Show your work.

________________________________________

________________________________________

________________________________________

________________________________________

b. If she drinks 10 ounces of milk a day,

how many days of milk does she

have left? Explain.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

10. Juan was presented with the following

problem on a math test: “Divide 3

4 by

5

7.

Show your work.” His work is shown

below. What was Juan’s error? Correct

his work and state the correct quotient.

5 3 5 4 20

7 4 7 3

21

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

11. Consider the division statement 1 7

4 16 .

a. Describe a real world situation that

might involve this expression.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

b. Find the quotient.

________________________________________

________________________________________

________________________________________

c. Interpret the quotient in terms of the

situation you described in part a.

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.NS.2


1. Divide. 196 28

6

6 R27

7 R1

7

2. Divide. 98 308

3

3 R14

4

14 R3

3. An art teacher has 192 containers of

paint for 17 students. If the teacher wants

to provide each student with an equal

number of containers, how many

containers will be left over?

0

5

7

18

4. A local theater can seat 2,254 people.

The seats are arranged into 98 rows.

Each row has the same number of seats.

How many seats are there in each row?

15 23

20 32

Select all correct answers.

5. The event staff for a local concert hall has

73 tickets to sell. If they sell all of the

tickets at the same price, they will have

$438. Which of the following people have

enough money to buy a ticket?

Celia has $4.50.

Louis has $7.00.

Jan has $6.50.

Nicola has $6.00.

Chuck has $5.00.


6. A skyscraper with 102 floors is 1,326 feet

tall. Each floor is the same height. How

tall is each floor? Show your work.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

7. An apple orchard harvested 3,584 apples

and separated them evenly into

112 bags.

a. How many apples are in each bag?

________________________________________

________________________________________

________________________________________

b. If 56 apples were placed in each bag

instead, how many bags would be

left over?

________________________________________

________________________________________

________________________________________

8. A movie streaming service charges its

customers $15 a month. Martina has $98

saved up. Will she have any money left

over if she pays for the maximum amount

of months she can afford? Explain.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



9. Maurice says that 1079 62 is 16 with a

remainder of 87.

a. Without seeing his work, how can

you tell Maurice divided incorrectly?

________________________________________

________________________________________

________________________________________

________________________________________

b. Maurice is correct about this fact:

16 62 87 1079. Explain how

you can use that fact to find the

correct quotient and remainder for

1079 62 without actually dividing.

Then find the quotient.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

10. The administrator of the school is dividing

342 students into 38 groups to do a team-

building exercise. One of the guidance

counselors says that the exercise will be

most effective if there are 7 or fewer

students in a group.

a. Explain why the administrator’s plan

is not as effective as it can be.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

b. How many groups should there be?

Will all the groups have the same

number of students? Explain.

________________________________________

________________________________________

________________________________________

________________________________________

11. a. Find 117 13, 118 13, and

119 13.

________________________________________

________________________________________

________________________________________

b. Without dividing, what is the quotient

of 120 13? Use the pattern you

found in the first three problems to

explain you answer.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

c. According to the pattern, 130 13

should be 9 with a remainder of 13.

Explain why that is incorrect and find

the correct quotient.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.NS.3


1. Add. 13.389 1.24

13.513

14.529

14.62

14.629

2. Subtract. 102.596 10.478

92.118

92.128

112.122

192.118

3. Multiply. 1.8762 4.2

7.88004

78.8004

788.004

7,880.04

4. Divide. 0.09975 0.007

1.425

14.25

142.5

1,425

Match each multiplication expression with its product.

____ 5. 2.986 1.26

____ 6. 0.2986 0.126

____ 7. 29.86 12.6

____ 8. 298.6 126

____ 9. 2.986 12.6

____ 10. 2,986 126

____ 11. 298.6 12.6

____ 12. 2.986 0.126

A 376,236

B 37,623.6

C 3,762.36

D 376.236

E 37.6236

F 3.76236

G 0.376236

H 0.0376236


13. Elsa has $45.78 in her savings account and $21.38 in her wallet.

a. How much money does Elsa have?

________________________________________________________________________________________

________________________________________________________________________________________

b. If Elsa puts half of the money in her wallet in the bank, how much money will she have

in her savings account?

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

________________________________________________________________________________________

Name _______________________________________ Date __________________ Class __________________



14. Mariposa needs a number of 0.3125-inch

strips of wood for a model she is building.

How many of these strips can she get

from a 5.625-inch wooden board? Show

your work.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

15. Jean-Paul incorrectly states that

4.2874 1.286 4.416. His work is

shown below. Explain Jean-Paul’s

mistake and correct his work.

4. 21

81

71

4 1. 2 8 6

4. 4 1 6 0

________________________________________

________________________________________

________________________________________

________________________________________

16. At a local gas station, regular gasoline

sells for $3.499 per gallon, while premium

gasoline sells for $3.879 per gallon.

a. Find the difference in price between

the two types of gasoline.

________________________________________

________________________________________

b. How much does a person save on

15.25 gallons of gas by buying

regular instead of premium? Show

your work, and round your answer to

the nearest whole cent.

________________________________________

________________________________________

17. Shen earns $9.60 per hour at his

part-time job. Last month, he worked

7.25 hours the first week, 8.75 hours the

second week, 5.5 hours the third week,

and 6.75 hours the fourth week. Shen

puts half of his paycheck in the bank

every other week starting with the first.

a. How much money did Shen earn

each week?

________________________________________

________________________________________

________________________________________

________________________________________

b. How much money did he have in the

bank at the end of last month? Show

your work.

________________________________________

________________________________________

________________________________________

c. How much money did Shen have to

spend from his 4 paychecks? Show

your work.

________________________________________

________________________________________

________________________________________

18. Pablo wants to buy a steak at the grocery

store. He has two options. The first is

1.37 pounds and costs $9.59. The

second is 1.75 pounds and costs $10.85.

Which is the better buy? Explain.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.NS.4


1. Find the greatest common factor of

12 and 18.

1

2

3

6

2. Find the least common multiple of

8 and 10.

32

40

50

80

3. Find the greatest common factor of

7 and 11.

1

7

11

77

4. Find the least common multiple of 6

and 12.

6

12

24

72

5. Factor out the greatest common factor of

the expression below using the

distributive property.

90 60

30(3 2)

10(9 6)

15(6 4)

6(15 10)


6. Is it possible to use the distributive

property to rewrite 85 99 as a product

of a whole number greater than 1 and a

sum of two whole numbers? Explain your

answer.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

7. Charlie and Dasha are roommates, and

they have a dog. If neither of them is

home, they hire someone to watch the

dog. Charlie must go on business trips

every 6 months, while Dasha must go on

business trips every 9 months. If they

both just got back from business trips,

how many months will it be before they

need to hire someone to look after the

dog again? Explain your answer.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

8. Salvatore is making some party favors for

his birthday party. He has 96 pencils and

80 boxes of raisins. He wants each party

favor to be the same, and he wants to

use all of the pencils and raisins. Find the

GCF of 96 and 80 to figure out how many

party favors he can make. How many

pencils and boxes of raisins will be in

each one?

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



9. a. What is the LCM of two numbers

when one number is a multiple of the

other? Give an example.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

b. What is the LCM of two numbers that

have no common factors greater than

1? Give an example.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

10. a. Find the greatest common factor of

3 and 5.

________________________________________

________________________________________

b. Find the greatest common factor of

11 and 13.

________________________________________

________________________________________

c. Use your results from parts a and b

to make a conjecture about the GCF

of any pair of prime numbers.

________________________________________

________________________________________

________________________________________

________________________________________

11. Consider the sum 36 45.

a. Use the distributive property to

rewrite the sum as the product of a

whole number other than 1 and a

sum of two whole numbers.

________________________________________

b. Write the sum as the product of a

whole number different from the one

you chose in part a and a sum of two

whole numbers.

________________________________________

c. Can this be done in more than two

ways? Explain.

________________________________________

________________________________________

________________________________________

________________________________________

12. A baker has 72 vanilla cupcakes and

80 chocolate cupcakes. She wants to

make platters for a party that have both

kinds of cupcakes and the same total

number of cupcakes on each platter.

a. Can the baker make 10 platters of

cupcakes with no cupcakes left over?

Explain why or why not.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

b. What is the greatest number of

platters she can make? How many of

each kind of cupcake will be on each

platter?

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.NS.5


1. Carlos deposited $28.50 into his bank

account after making a $20.00 withdrawal

to pay for some school supplies.

Represent these situations as signed

numbers.

28.50, 20.00

28.50, 20.00

28.50, 20.00

28.50, 20.00

2. In Barrow, Alaska, the northernmost town

in the United States, the record high

temperature is 79 F, recorded on

July 13, 1993. The record low is 56 F

below zero, recorded on February 3,

1924. Represent these situations as

signed numbers.

79, 56

79, 56

79, 56

79, 56

3. While on vacation in Australia, Brent and

Giselle decide to explore the Great

Barrier Reef. Brent decides to go

snorkeling near the surface at a depth of

5 feet below sea level. Giselle is an

experienced scuba diver and decides to

explore a little deeper at 80 feet below

sea level. Represent these situations as

signed numbers.

5, 80

5, 80

5, 80

5, 80


4. Choose all the situations that can be

described with a negative number.

The Titanic rests at a depth of about

12,000 feet.

The temperature of the photosphere

of the Sun is approximately 5,505 C.

The height of the Taipei 101

skyscraper in Taiwan is 1,671 feet.

The average high temperature in

Antarctica in January is 15 F below

zero.

The world record for deepest scuba

dive is 1,083 feet.

The world record for highest base

jump from a building is 2,205 feet

above sea level.


5. An object’s elevation is its height above

some fixed point. The most commonly

used point is sea level. The word

“altitude” is used to describe an object’s

position above sea level, whereas the

word “depth” is used to describe an

object’s position below sea level. Express

each of the following situations as a

signed number or zero.

a. An airplane at an altitude of 30,000

feet

________________________________________

b. A submarine at a depth of 1,200 feet

________________________________________

c. A boat on the surface of the ocean

________________________________________

Name _______________________________________ Date __________________ Class __________________



6. In golf, par is the number of strokes an

average player should need to complete

a particular hole. If a golfer scores under

par, the score is reported as a negative

number representing the number of

strokes less than par. If a golfer scores

over par, the score is reported as a

positive number. Scoring par exactly is

represented by 0. Express each of the

following scores as a signed number

or zero.

a. Margaret completed 18 holes with an

overall score of 9 under par.

________________________________________

b. Anika completed the last hole with a

score of 1 over par.

________________________________________

c. Johan completed 9 holes on par.

________________________________________

d. Seamus completed the first hole of

the tournament with a score of 2

under par.

________________________________________

7. In a standard savings account, the term

“credit” is used to describe a deposit of

money into the account. The term “debit”

is used to describe a withdrawal of

money from the account. Describe what a

positive number, a negative number, and

zero mean in this context.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

8. Use a signed number to represent each

of the following situations. Then describe

what 0 represents in the same situation.

a. Salazar dives to a depth of 73 feet.

________________________________________

________________________________________

________________________________________

b. Nu deposits $16.78 into her bank

account.

________________________________________

________________________________________

________________________________________

c. Overnight, the temperature drops by

15 F.

________________________________________

________________________________________

________________________________________

9. Write two situations that could be

described by each of the following

numbers.

a. 50

________________________________________

________________________________________

________________________________________

________________________________________

b. 50

________________________________________

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.NS.6a, 6.NS.6b


1. Describe the locations of 3 and 3 with

respect to 0 on a number line.

3 is to the right of 0, and 3 is to the

right of 0.

3 is to the left of 0, and 3 is to the

left of 0.

3 is to the left of 0, and 3 is to the

right of 0.

3 is to the right of 0, and 3 is to the

left of 0.

2. What is the opposite of 12?

12

-

1

12

1

12

12

3. In which quadrant is

3, -4

5

æ

èçö

ø÷?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

4. If the point (1.9, 2) is reflected across

the x-axis, which quadrant will it be in?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

5. Choose the correct sign description of a

point in Quadrant I.

(, )

(, )

(, )

(, )


6. Which pairs of numbers lie on opposite sides of 0 on a number line?

8, 7

10, 10

4, 9

8, 15

21, 21

2, 200


7. Graph 5, 0, 2, and 4 on the number line.

Then, graph their opposites on the same

number line.

0 1 2 3 4 50–1–2–3–4–5

8. Elevation is measured as a distance

above or below sea level. Sea level has

an elevation of 0 feet. Johanna is

standing on a hillside 35 feet above sea

level, and Marcus is exploring a cave at

an elevation that is the opposite of

Johanna’s elevation. What is Marcus’s

elevation?

________________________________________

9. The point (1.235, 987) is in Quadrant IV.

What kind of reflection would move this

point from Quadrant IV to Quadrant III?

Which coordinate(s) would change signs?

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



10. To celebrate the 100th anniversary of the

opening of their school, the teachers

organize a treasure hunt for the students.

One of the clues states, “Think of the

main office as 0 on a number line. You

will find the next clue in the room that is

the opposite of the teachers’ lounge.” Use

the diagram below to determine where

the students should go to find the next

clue. Explain.

0

Gym

Tea

cher

s' L

ounge

Boys'

Room

Mai

n O

ffic

e

Gir

ls' R

oom

Sci

ence

Lab

Cla

ssro

om

1 2 3–1–2–3

________________________________________

________________________________________

________________________________________

11. a. Find the opposites of 8, 1, and 7.

________________________________________

b. Find the opposites of the opposites

from part a.

________________________________________

c. What do you notice about a number

and the opposite of its opposite?

________________________________________

________________________________________

12. Consider the ordered pair

2

3, y

æ

èçö

ø÷. Find a

value of y that places the ordered pair in

each quadrant. If it is not possible for the

ordered pair to be in a certain quadrant,

explain why.

________________________________________

________________________________________

13. The following graph shows the point

(4, 3). It also shows the points that result

when (4, 3) is reflected across the x-axis

and the y-axis.

a. The point (4, 3) reflected across the

x-axis is (4, 3). What do you notice

about the signs of the coordinates?

________________________________________

________________________________________

________________________________________

b. The point (4, 3) reflected across the

y-axis is (4, 3). What do you notice

about the signs of the coordinates?

________________________________________

________________________________________

________________________________________

c. What do you think would happen to

the signs of the coordinates of

(4, 3) if it were reflected across the

x-axis and then the result was

reflected across the y-axis? Explain

your answer and provide the

resulting point.

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.NS.6c


1. Where is 2

3 on a number line?

Between 3 and 2

Between 1 and 0

Between 0 and 1

Between 2 and 3

2. Identify the point on the number line.

4

3.5

3.5

4

3. Identify the coordinates of the point.

(2, 4)

(4, 2)

(4, 2)

(2, 4)

4. Describe the process of graphing 4 1

,5 3

æ öç ÷è ø

on a coordinate plane.

Starting at the origin, move 4

5 unit in

the positive x-direction. Then, move

1

3 unit in the positive y-direction.


5 unit in

the negative x-direction. Then, move

1

3 unit in the negative y-direction.


5 unit in

the positive x-direction. Then, move

1

3 unit in the negative y-direction.


5 unit in

the negative x-direction. Then, move

1

3 unit in the positive y-direction.


5. What numbers are graphed on the

vertical number line?

2.5 1

2.25 1.25

1.75 2

0.75 2.5

Name _______________________________________ Date __________________ Class __________________




6. Graph and label (0.75, 1.25), (1.5, 2),

(0.25, 1.75), and (1, 0.75).

7. A group of students is participating in a

tug-of-war contest. The rope is laid out in

a straight line with a knot in the middle.

The students are positioned according to

the following diagram. The object of the

game for both teams is to pull the knot

2 units in their direction. The first team to

do so wins the contest. Assume that each

team pulls in a straight line. If Holden’s

side wins, find the final positions of

Holden and Marishka. Explain your

answers using a number line.

________________________________________

________________________________________

________________________________________

________________________________________

8. Below is a map showing various places in

relation to Carlos’s house at the origin.

Find the coordinates of the library,

the school, the bike shop, and the

baseball field.

________________________________________

________________________________________

________________________________________

________________________________________

9. a. Graph and label the point (2, 8).

b. Find the point that represents a

reflection of (2, 8) across the x-axis.

Graph and label the result.

c. Find the point that represents a

reflection of the result from part b

across the y-axis. Graph and label

the result.

Name _______________________________________ Date __________________ Class __________________



6.NS.7a


1. If 3 7 and 1 7, where are 3 and

1 relative to 7 on a number line?

3 and 1 are both to the right of 7.

3 and 1 are both to the left of 7.

3 is to the right of 7 and 1 is to the

left of 7.

3 is to the left of 7 and 1 is to the

right of 7.

2. If

4

3>

3

5 and

1

2<

3

5, where are

4

3 and

1

2

relative to

3

5 on a number line?

4

3 and

1

2 are both to the right of

3

5.

4

3 and

1

2 are both to the left of

3

5.

4

3 is to the right of

3

5, and

1

2 is to

the left of

3

5.

4

3 is to the left of

3

5, and

1

2 is to the

right of

3

5.

3. A number x is to the left of 10.2 on a

number line. Which inequality describes

this situation?

x 10.2

x 10.2

10.2 x

x 10.2

4. On a number line, a number p is to the

right of 18. Which of the following choices

describes this situation?

18 p p 18

18 p p 18


5. Which statements are equivalent to the

inequality -2.5 <

8

13?

2.5 is to the left of

8

13 on a

number line.

8

13 is to the right of 2.5 on a

number line.

8

13 is to the left of 2.5 on a

number line.

2.5 is less than

8

13.

2.5 is to the right of

8

13 on a

number line.

8

13< -2.5

8

13> -2.5

8

13 is less than 2.5.


6. Describe the positions of 10 and 17

relative to each other on a number line in

two different ways, given that 17 10.

________________________________________

________________________________________

________________________________________

7. 0.001 x and x 10,000. Is x between

0.001 and 10,000, to the left of 0.001, or

to the right of 10,000? Explain your

reasoning.

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



8. Look at the following inequalities.

1,000,000 >

7

23, 0 <

7

23, 22 >

7

23,

-1,000 <

7

23, -

18

19<

7

23,

7

23> 0.2,

7

23<

1

2,

7

23< 4

1

6

a. Which of the numbers above are to

the right of

7

23 on a number line?

________________________________________

________________________________________

b. Which of the numbers above are to

the left of

7

23 on a number line?

________________________________________

________________________________________

9. Consider the three points on the

number line.

a. Pick any two of the points and write

an inequality statement. Explain your

answer using the positions of the two

numbers relative to each other on the

number line.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

b. Could the relationship between the

two numbers you chose be

represented in a different way? If so,

write the inequality.

________________________________________

10. Matthias says that the inequality 1 2.2

is true because 1 is to the right of 2.2 on

a number line. Helga says that the

inequality is true because 2.2 is to the

left of 1 on a number line. Who is correct?

Explain your answer by graphing 1 and

2.2 on a number line and interpreting

the result.

________________________________________

________________________________________

________________________________________

________________________________________

11. Consider the inequality 5.5 4.

a. Graph the two numbers on a

number line.

b. Describe the positions of 5.5 and

4 relative to each other on a number

line in two different ways.

________________________________________

________________________________________

________________________________________

________________________________________

c. Write an inequality using 5.5 and a

number to the left of 5.5 on the

number line.

________________________________________

d. Write an inequality using 4 and a

number to the right of 4 on the

number line.

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.NS.7b


1. The thermometer at Bruce’s house

shows a temperature of 2 F. The

thermometer at Zan’s house reads

5 F. Which inequality represents this

situation? Whose thermometer shows a

warmer temperature?

2 F 5 F; Bruce’s thermometer

shows a warmer temperature.

2 F 5 F; Zan’s thermometer


2 F 5 F; Bruce’s thermometer


2 F 5 F; Zan’s thermometer


2. Marco and Randy decide to have a foot

race on a local field. Marco can maintain

a speed of 8 miles per hour, while Randy

runs at 6 miles per hour. Which inequality

represents this situation? Who is faster?

8 mph 6 mph; Marco is faster.

8 mph 6 mph; Randy is faster.

8 mph 6 mph; Marco is faster.

8 mph 6 mph; Randy is faster.

3. In a cooking class, each student needs

2

3 cup of sugar for a recipe. Zach has

3

4 cup of sugar at his cooking station,

while Suzanne has 1

2 cup at her cooking

station. Who has enough sugar to make

the recipe?

Zach has enough sugar.

Suzanne has enough sugar.

Zach and Suzanne both have

enough sugar.

Neither Zach nor Suzanne has

enough sugar.

4. Anthony has $53.43 in his savings

account, Maxine has $54.78, Rodolfo

has $54.98, and Nicola has $53.29. Who

has saved the most money? Who has

saved the least?

Maxine has saved the most money,

and Anthony has saved the least.

Maxine has saved the most money,

and Nicola has saved the least.

Rodolfo has saved the most money,

and Nicola has saved the least.

Rodolfo has saved the most money,

and Anthony has saved the least.


5. Jack needs a piece of wood at least

13

16 inch long for some detail work on a

project he is working on. Which of the

following lengths of wood would meet

his requirements?

1

2 inch

7

8 inch

3

4 inch

27

32 inch

5

8 inch


6. A recipe calls for 2

3 cup strawberries,

1

4 cup sugar,

1

2 cup walnuts, and

3

4 cup

flour. Order the amounts from least to

greatest. Which ingredient does the

recipe require the least amount of?

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



7. While climbing a mountain, Chuck and

Marissa decided to take separate trails

and meet at the peak. Chuck took the

easier trail and was at an elevation of

about 425 feet after an hour. Marissa

took the more advanced trail and made

it to 550 feet in an hour. Marissa started

to get tired and was only able to climb

150 more feet in the next hour. Since

Chuck took the easier trail, he was able

to climb an additional 350 feet in the

second hour. Write inequalities that

express their locations on the mountain

after 1 hour and after 2 hours. Who was

at a higher elevation after 2 hours?

________________________________________

________________________________________

________________________________________

________________________________________

8. Sally plants four flowers in her garden

and measures their heights (Height 1).

One month later, she measures their

heights again (Height 2). Which flower

grew the most? Show your work.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

9. The record low temperatures for three

towns in Alaska are given in the table

below. Write three inequalities using

three different pairs of temperatures.

Which of the three towns has the

highest record low?

________________________________________

________________________________________

________________________________________

10. Sam and Nima have part-time jobs for

the summer. Over the last three weeks,

Sam has made deposits of $40.25,

$58.50, and $28.40 into his savings

account. During the same time, his sister

Nima has deposited $60.85, $20.00, and

$62.13 into her savings account.

a. Write an inequality that compares

Sam’s total deposits with Nima’s

total deposits. Who deposited more

money?

________________________________________

________________________________________

b. Sam and Nima both make

withdrawals from their accounts.

Nima withdraws $37.28. After the

withdrawals, Sam has more money

in his account than Nima does.

What is the largest amount Sam

could have withdrawn for this to be

true? Explain your reasoning.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

Flower Height 1 Height 2

1 1

62

in. 5

816

in.

2 3

74

in. 1

84

in.

3 7

58

in. 3

916

in.

4 5

616

in. 1

72

in.

Town Record Low

Anchorage 34 F

Barrow 56 F

Juneau 22 F

Name _______________________________________ Date __________________ Class __________________



6.NS.7c, 6.NS.7d


1. Marlene is about to write a check for

$103.48 to pay for groceries. When she

subtracts the amount of the check from

her account balance, she sees that the

new balance would be $28.80. Rather

than overdraw her checking account,

Marlene asks the cashier to remove

some items. For Marlene to be able to

pay by check without overdrawing her

account, what is the minimum value of

the items the cashier must remove?

$103.48

$28.80

$28.80

$103.48

2. Which of the following pairs of numbers

have the same absolute value?

1, 0.1

1

2- ,

1

2

0, 1

4, 40

3. How do the numbers 3 and 2 compare?

How do their absolute values compare?

3 is greater than 2, but 2 has the

greater absolute value.

2 is greater than 3, but 3 has the


3 is greater than 2, and 3 has the


2 is greater than 3, and 2 has the


4. Which is greater,

9

13 or

1

2

3? Which

number has the greater absolute value?

9

13- is greater than

21

3, but

21

3 has

the greater absolute value.

2

13

is greater than 9

13- , but

9

13-

has the greater absolute value.

9

13- is greater than

21

3, and

9

13-


2

13

is greater than 9

13- , and

21

3



5. Which numbers have an absolute value

of 2?

3

2

1

0

1

2

3


6. Identify the pairs of numbers on the

number line that have the same

absolute value.

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



7. Both Vince and Betty use their debit

cards to make purchases. After their

purchases, Vince’s checking account

balance shows a transaction of $25.00,

while Betty’s shows $18.25. Who spent

more money? Justify your answer by

writing an inequality.

________________________________________

________________________________________

________________________________________

8. Find two numbers a and b with the

following properties.

a. a b, a b>

________________________________________

b. a b, a b<

________________________________________

c. a b, a b=

________________________________________

9. Monica is hiking in California’s Death

Valley. Along her route, she sees a sign

that says “282 feet below sea level.”

Elevation is the height above or below

a fixed point. Positive elevations indicate

heights above the point, and negative

elevations indicate heights below

the point.

a. What is the elevation of the sign

relative to sea level? Explain.

________________________________________

________________________________________

b. How far up or down must Monica

hike from the sign to reach sea

level? Explain.

________________________________________

________________________________________

10. In a town, Talbot Street is the main

commercial center. The number line

shown represents Talbot Street, where

each unit represents 100 feet.

a. Yvette and Naomi are at the

intersection of Second Street and

Talbot Street. If Yvette goes to the

grocery store and Naomi goes to the

fruit stand, who travels farther from

Second Street? Justify your answer.

________________________________________

________________________________________

________________________________________

b. Anzelm is at the intersection of First

Street and Talbot Street. How many

feet is Anzelm from Second Street?

Justify your answer.

________________________________________

________________________________________

________________________________________

11. Suppose a and b are two negative

numbers. If a b, is it possible that

?a b> Explain your answer, using a

number line and examples as needed.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6.NS.8


1. On a coordinate plane, point A is located

at (5, 3). To get to point B, move 8 units

to the right, 6 units down, and 1 unit to

the left. What are the coordinates of

point B?

(12, 9)

(12, 3)

(2, 3)

(2, 9)

2. What is the distance between point A

at (7, 5) and point B at (2, 5)?

9

5

9

10

3. North is the positive y-direction on a

coordinate plane, and 1 unit on the plane

represents 1 foot. A soccer ball is kicked

directly east from point (3, 4). The ball

travels a horizontal distance of 23 feet

through the air and rolls an extra 14 feet.

Where does the ball stop?

(34, 4)

(40, 4)

(20, 4)

(11, 4)


4. Jerry and Meena are riding their bicycles

through the city to meet at the park, as

shown on the coordinate plane. On the

coordinate plane, north is in the positive

y-direction, and 1 unit represents 1 city

block. Jerry starts at the point (2, 5)

and rides north toward the park at the

point (2, 1). Meena starts at east of the

park at the point (5, 1) and rides west

toward the park. How far does each

person travel to reach the park?

________________________________________

________________________________________

________________________________________

5. Point A is located at (3, 1), point B is

located at (3, 4), and point C is located

at (3, 1) on a coordinate plane.

a. What is the distance between points

A and B?

________________________________________

________________________________________

b. What is the distance between points

A and C?

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________



6. Ravel wants to build a fence around his

garden. The shape of his garden is

shown on the coordinate plane, where

each unit represents 1 foot. Use absolute

values to find the length of each section

of fence. How many feet of fence does

Ravel need? Show your work.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

7. Jamie’s house is in the center of town, at

point (0, 0). He is doing some errands in

town and stops at the other four labeled

points on the coordinate plane. One unit

on the coordinate plane represents

1 block. He travels 4 blocks to his first

stop. His second stop is 7 blocks from

his first stop. He can only travel on the

sidewalks, which are represented by the

grid lines.

a. Where did Jamie go first?

List all possible answers. Justify

your answers.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

b. Where did Jamie go second?

List all possible answers. Justify

your answers.

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

Name _______________________________________ Date __________________ Class __________________


Grade 6 Teacher Guide 14 Common Core Assessment Readiness

6.NS.1 Answers

1. C

2. D

3. C

4. B

5. C

6. C

7. 10, 3, 8

Rubric

1 point for each number

8. There are 4 whole 3

16-foot sections.

11 3 11 16 176 44

12 16 12 3 36 9

44

9 is not a whole number. However,

since 44 8

4 ,9 9

there are 4 whole

3

16-foot sections, with some left over that

Ida cannot use.

Rubric

1 point for answer;

1 point for work;

1 point for explanation

9. a. 1 5 1 64 64 32 2

62 64 2 5

10 5 5

servings

b. Since 32 2

6 ,5 5

she has enough milk

for 6 full days.

Rubric

a. 1 point for answer;

1 point for work

b. 1 point for answer;


10. Juan set up the problem incorrectly as

5 3

7 4 . In the problem,

3

4 is the dividend

and 5

7 is the divisor. The correct work is

3 5 3 7 21

4 7 4 5

20 .

The quotient is 21

20.

Rubric

2 points for error description;

1 point for corrected work;

1 point for quotient

11. a. Possible answer: Sally requires

several rectangular pieces of

construction paper for an art project.

The pieces need to have an area of

1

4 square inch. She has several strips

of paper left from the last art project

that are each 7

16 inch wide. How long

should each piece be cut to meet her

requirements for this project?

b. 1 7 1 16 4

4 1 7 7

6 4

c. Possible answer: Sally should cut the

strips into lengths of 4

7 inch.

Rubric

a. 2 points for reasonable situation

b. 1 point

c. 1 point for correct interpretation of

answer according to part a



6.NS.2 Answers

1. D

2. B

3. B

4. C

5. B, C, D

6.

102 1326

13

1020

306

306

0

The floors are 13 feet tall.

Rubric

1 point for work; 1 point for answer

7. a. 32 apples

b. 48 bags

Rubric

a. 1 point

b. 2 points

8. Yes;

15 98

6

90

8

Martina has enough money to pay for

6 months of the service. She will have $8

left over.

Rubric

1 point for the answer; 1 point for

explaining the remainder in the context of

the problem; 1 point for explaining the

quotient in the context of the problem

9. a. The remainder, 87, is larger than the

divisor, 62, so 16 is not the maximum

number of times 62 can go into 1079.

b. Maurice found a quotient that is too

small, so increase 16 by 1 in the

expression 16 62 87, subtract 62

from 87, and see if that gives a

remainder of less than 62. If you

multiply 62 by 17, you get 1054, which

is 25 less than the dividend of 1079.

The correct quotient is 17 with a

remainder of 25.

Rubric

1 point for the error;

1 point for the correct answer;

3 points for explaining an appropriate

method that doesn’t involve division

10. a. The administrator’s plan will not be as

effective because there will be

342 38 9 students on each team.

This is more than 7 students per team.

b. Divide the number of students by 7.

7 342

48

280

62

56

6

There will be 49 teams. The teams will

not all have the same number of

students because there will be

48 teams of 7 students and 1 team

of 6 students.

Rubric

a. 2 points

b. 1 point for stating there will be

49 teams; 1 point for stating the teams

do not all have the same number of

students; 1 point for stating why



11. a.

13 117

9

117

0

13 118

9

117

1

13 119

9

117

2

b. 120 13 will be 9 with a remainder of

3. In each of the three quotients, the

remainder increased by 1 every time

the dividend increased by 1.

c. The remainder cannot be the same as

the divisor. The correct quotient is 10.

Rubric:

a. 1 point for each quotient;

b. 1 point for the quotient of 120 13;

1 point for explaining the pattern

c. 1 point for explaining the error; 1 point

for correct quotient



6.NS.3 Answers

1. D

2. A

3. A

4. B

5. F

6. H

7. D

8. B

9. E

10. A

11. C

12. G

13. a. $67.16

b. $56.47

Rubric

a. 1 point

b. 1 point

14. 0.3125 5.625 3,125 56,250.

183,125 56,250

3,125

25,000

25, 0

0

0

00

Mariposa can get eighteen 0.3125-inch

strips from the 5.625-inch wooden board.

Rubric

1 point for work;

1 point for answer

15. Jean-Paul did not line the numbers up by

place value when adding. The easiest

way to do this is to line up the decimal

points.

1 1

4. 2 8 7 41. 2 8 6 0

5. 5 7 3 4

4.2874 1.286 5.5734

Rubric

1 point for error;

2 points for corrected work;

1 point for answer

16. a. The difference in price is $0.38 per

gallon.

b. $0.38 15.25 $5.795 $5.80

Rubric

a. 1 point

b. 1 point for answer; 1 point for work

17. a. Shen earned $69.60 the first week,

$84.00 the second week, $52.80

the third week, and $64.80 the

fourth week.

b. Shen had 0.5 69.60 0.5 52.80

$61.20 in the bank at the end of

last month.

c. Shen had earned $69.60 $84.00

$52.80 64.80 $271.20 for the

month. He put $61.20 in the bank, so

he has $271.20 $61.20 $210.00 to

spend at the end of last month.

Rubric

a. 0.5 point for each amount

b. 1 point for answer; 1 point for work

c. 1 point for answer; 1 point for work

18. The second steak is the better buy.

The first steak costs $7.00 per pound and

the second costs $6.20 per pound.

Rubric

1 point for answer;

2 points for an explanation that includes

the prices per pound



6.NS.4 Answers

1. D

2. B

3. A

4. B

5. A

6. No, the greatest common factor of

85 and 99 is 1. The only way to rewrite

85 99 using the distributive property

is to write 1(85 99).

Rubric

1 point for answer;

2 points for explanation

7. The LCM of 6 and 9 is 18. Therefore,

Charlie and Dasha will both be traveling

on business trips in 18 months, and so

will need to hire someone then.

Rubric

1 point for answer; 1 point for explanation

8. The GCF of 96 and 80 is 16, so Salvatore

can make 16 party favors. Each one will

have 6 pencils and 5 boxes of raisins.

Rubric

1 point for using the GCF to find the

number of party favors;

1 point for number of pencils per party

favor;

1 point for number of boxes of raisins per

party favor

9. Possible answers:

a. The LCM is the greater of the two

numbers. For example, the LCM of

3 and 9 is 9.

b. The LCM is the product of the two

numbers. For example, the LCM of

5 and 9 is 45.

Rubric

a. 1 point for answer; 1 point for valid

example

b. 1 point for answer; 1 point for valid

example

10. a. 1

b. 1

c. The only factors of a prime number

are 1 and itself, so the greatest

common factor of two prime

numbers is always 1.

Rubric

a. 1 point

b. 1 point

c. 2 points

11. Possible answer:

a. 36 45 3(12 15)

b. 36 45 9(4 5)

c. This cannot be done in more than two

ways because 3 and 9 are the only

common factors of 36 and 45 other

than 1.

Rubric

a. 1 point

b. 1 point

c. 1 point for stating that it cannot be

done in more than two ways; 1 point

for explanation

12. a. No, she cannot make 10 platters of

cupcakes; 72 is not divisible by 10.

b. The GCF of 72 and 80 is 8, so she can

make 8 platters. Each platter

will have 9 vanilla cupcakes and

10 chocolate cupcakes.

Rubric

a. 1 point for answer; 1 point for

explanation

b. 1 point for number of platters; 1 point

for number of vanilla and chocolate

cupcakes



6.NS.5 Answers

1. C

2. C

3. B

4. A, D, E

5. a. 30,000

b. 1,200

c. 0

Rubric

1 point for each part

6. a. 9

b. 1

c. 0

d. 2

Rubric


7. A positive number indicates money being

deposited, so it is a credit to the account.

A negative number indicates money

being withdrawn, so it is a debit to the

account. Zero means that money is

neither being deposited nor withdrawn, so

there is no change.

Rubric

1 point for positive number interpretation;

1 point for negative number

interpretation; 2 points for interpretation

of zero

8. a. 73; 0 represents sea level

b. 16.78; 0 represents no deposit or

withdrawal

c. 15; 0 represents no change in

termperature

Rubric

a. 1 point for signed number; 1 point for

interpreting 0

b. 1 point for signed number; 1 point for

interpreting 0

c. 1 point for signed number; 1 point for

interpreting 0

9. a. Possible answers: climbing to a height

of 50 feet; depositing $50 into a bank

account

b. Possible answers: diving to a depth of

50 feet; withdrawing $50 from a bank

account

Rubric

a. 1 point for each reasonable answer

b. 1 point for each reasonable answer



6.NS.6a, 6.NS.6b Answers

1. D

2. A

3. D

4. B

5. A

6. B, C, E

7. The opposite of 5 is 5.

The opposite of 0 is 0.



0 1 2 3 4 50–1–2–3–4–5

Rubric

0.5 point for each nonzero point;

1 point for zero and its opposite (they are

the same point)

8. 35 feet

Rubric

1 point for the correct number; 1 point for

including units

9. A reflection across the y-axis would

move the point to Quadrant III. The

x-coordinate would change from positive

to negative.

Rubric

1 point for identifying the transformation;

1 point for identifying sign change

10. The students should go to the science

lab. The teachers’ lounge is represented

by 2 on the number line. The opposite of

2 is 2, so the next clue is in the room

represented by 2 on the number line, the

science lab.

Rubric

2 points for answer;

2 points for the explanation

11. a. 8, 1, and 7

b. 8, 1, and 7

c. The opposite of the opposite of a

number is the same as the original

number.

Rubric

a. 0.5 point for each opposite

b. 0.5 point for each opposite

c. 1 point

12. Quadrant I: Possible answer: y 1

Quadrant IV: Possible answer: y 1

The ordered pair

2

3, y

æ

èçö

ø÷ cannot be in

Quadrant II or Quadrant III because the

x-coordinate is positive.

Rubric

1 point for Quadrant I value;

1 point for Quadrant IV value;

1 point for stating the point cannot be in

Quadrant II or Quadrant III;


13. a. The y-coordinate of the point (4, 3)

has the opposite sign of the

y-coordinate of (4, 3).

b. The x-coordinate of the point (4, 3) has

the opposite sign of the x-coordinate of

(4, 3).

c. A reflection across the x- and then the

y-axis would result in a change to the

signs of both coordinates. If

(4, 3) were reflected across the

x-axis and then that point was

reflected across the y-axis, the

resulting point would be (4, 3).

Rubric

a. 1 point for noting the sign change

b. 1 point for noting the sign change

c. 1 point for noting the sign changes;

1 point for the coordinates of the result



6.NS.6c Answers

1. C

2. B

3. D

4. A

5. B, D, F, G

6.

Rubric

1 point for each graphed and labeled

point

7. Holden will be at 5 and Marishka will be

at 1. Holden’s side pulls the knot 2 units

in the negative direction, so all the

students move 2 units in the negative

direction, as shown on the number line.

Rubric

1 point for Holden’s position;

1 point for Marishka’s position;

2 points for correct number line and

labels

8. The coordinates of the library are

(4, 1). The coordinates of the school

are (3, 4). The coordinates of the bike

shop are (4, 3). The coordinates of the

baseball field are (3, 3).

Rubric

1 point for each ordered pair

9. The points are graphed and labeled

below.

Rubric

a. 1 point for graphed and labeled point

b. 1 point for coordinates of point;

1 point for graphed and labeled point

c. 1 point for coordinates of point;

1 point for graphed and labeled point



6.NS.7a Answers

1. A

2. C

3. B

4. D

5. A, B, D, G

6. 10 is to the left of 17 on a number line.

17 is to the right of 10 on a number line.

Rubric

1 point for each answer

7. x is between 0.001 and 10,000. Since

0.001 x, x is to the right of 0.001 on a

number line. Since x 10,000, x is to the

left of 10,000. Since x is to the right of

0.001 and to the left of 10,000, x is

between the two numbers.

Rubric

1 point for answer; 2 points for

explanation

8. a. 1

,2

1

4 ,6

22, and 1,000,000

b. 1,000, 18

,19

- 0, and 0.2

Rubric

a. 0.5 point per number

b. 0.5 point per number

9. a. Possible answer: 2.25 2; 2.25 is to

the left of 2 on the number line, so

2.25 is less than 2.

b. Yes; Possible answer: 2 2.25

Rubric

a. 1 point for correct inequality;


b. 1 point for correct answer;

1 point for inequality

10. They are both correct. As shown on

the number line, 1 is to the right of 2.2. It

is also correct to say that 2.2 is to the

left of 1.

Rubric

1 point for the answer;

1 point for the explanation;

1 point for each graphed number

11. a.

b. 5.5 is to the left of 4; 4 is to the

right of 5.5.

c. Possible answer: 6 5.5

d. Possible answer: 4 3

Rubric

a. 0.5 point for each graphed number

b. 0.5 point for each description

c. 1 point

d. 1 point



6.NS.7b Answers

1. C

2. A

3. A

4. C

5. B, D

6. 1

4 cup,

1

2 cup,

2

3 cup,

3

4 cup

The recipe requires a smaller amount of

sugar than the other ingredients.

Rubric

2 points for correctly ordered list

of values;

1 point for stating the recipe requires the

least amount of sugar

7. Possible answer: 1 hour: 425 ft 550 ft;

2 hours: 775 ft 700 ft

Chuck was at a higher elevation

after 2 hours.

Rubric

1 point for each inequality;

1 point for who was at a higher elevation

after 2 hours

8. Flower 1 change in height: 13

116

in.

Flower 2 change in height: 1

2 in.


316

in.


116

in.

From least growth to most growth, the

order is Flower 2, Flower 4, Flower 1,

and Flower 3. Flower 3 grew the most in

one month.

Rubric

0.5 point for each height difference;

2 points for ordered list;

0.5 point for answer

9. Possible answer: 34 F 22 F,

34 F 56 F, 22 F 56 F

Juneau has the highest record low.

Rubric

1 point for each inequality;

1 point for stating Juneau has the highest

record low

10. a. Sam deposited $127.15 and Nima

deposited $142.98. An inequality

that compares these total deposits

is $127.15 $142.98 (or

$142.98 $127.15). Nima deposited

more money.

b. Nima withdrew $37.28, so she has a

total of $142.98 $37.28 $105.70.

If Sam has more money in his

account, he must have at least

$105.71. That means the largest

withdrawal he could make is

$127.15 $105.71 $21.44.

Rubric

a. 1 point for the total deposits, 1 point

for a correct inequality

b. 1 point for correct answer; 2 points for

appropriate explanation



6.NS.7c, 6.NS.7d Answers

1. C

2. B

3. B

4. D

5. B, F

6. 2.25 and 2.25

-

3

4 and 0.75

Rubric

1 point for each pair of numbers

7. Vince spent more money;

-$25.00 > -$18.25 .

Rubric

1 point for correct answer; 1 point for

inequality

8. a. Possible answer: a 2, b 1

b. Possible answer: a 2, b 3

c. Possible answer: a 2, b 2

Rubric


9. a. Since the sign is 282 feet below sea

level, the elevation of the sign relative

to sea level is 282 feet.

b. Since the sign is 282 feet below sea

level and the elevation of sea level is

0 feet, Monica must hike up 282 feet to

reach sea level.

Rubric

a. 1 point for answer; 1 point for a

reasonable explanation

b. 1 point for answer; 1 point for a


10. a. Yvette travels farther from Second

Street. The grocery store is |3| 3

units from 0, and the fruit stand is

|1| 1 unit from 0. Thus, Yvette travels

farther from Second Street to the

grocery store than Naomi travels from

Second Street to the fruit stand.

b. On the number line, the location of

First Street is 4. Since Second

Street is represented by 0 on the

number line, the absolute value of the

location is the distance. First Street is

-4 = 4 units from 0. Since each unit

represents 100 feet, Anzelm is

4 100 feet 400 feet from Second

Street.

Rubric

a. 1 point for answer; 2 points

for justification

b. 1 point for answer; 2 points

for justification

11. If a b and a and b are both negative, it

is not possible for a > b .

Since a b, a is to the right of b on a

number line. Since a and b are negative

numbers, both a and b are to the left of

0 on a number line. Since the distance

from a to 0 must be less than the

distance from b to 0 on a number line,

a < b .So

a > b is not possible.

Rubric

1 point for answer; 3 points for a




6.NS.8 Answers

1. C

2. C

3. A

4. Meena travels |5 2| 3 blocks, and

Jerry travels |5 1| 6 blocks.

Rubric

1 point for each distance

5. a. |1 (4)| 5 units

b. |3 3| 6 units

Rubric

a. 1 point

b. 1 point

6. Starting at point (1, 4) and moving

clockwise to find each side length:

The distance between (1, 4) and (4, 4)

is |1 4| |5| 5. The length of this

section is 5 feet.

The distance between (4, 4) and

(4, 5) is |4 (5)| |9| 9. The length of

this section is 9 feet.


(4, 5) is 4 (4) 8 8. The length

of this section is 8 feet.


(4, 1) is |5 (1)| |4| 4. The

length of this section is 4 feet.


(1, 1) is |4 (1)| |3| 3. The

length of this section is 3 feet.


(1, 4) is |1 4| |5| 5. The length of

this section is 5 feet.

The perimeter of the garden is the sum of

these distances,

5 9 8 4 3 5 34 feet.

Ravel needs 34 feet of fence.

Rubric

2 points for the lengths of all the sections;

1 point for reasonable work;

1 point for answer

7. a. Jamie went to city hall first. The

distance between Jamie’s house and

city hall is 4 blocks. The distance

between Jamie’s house and the

grocery store is 5 blocks. The distance

between Jamie’s house and the mall is

5 blocks. The distance between

Jamie’s house and the doctor’s office

is 5 blocks. City hall is the only

location that is 4 blocks away.

b. Jamie went to either the mall or the

grocery store second. The distance

between city hall and the mall is

7 blocks. The distance between city

hall and the grocery store is 7 blocks.

The distance between city hall and the

doctor’s office is 9 blocks. The mall

and the grocery store are both

7 blocks away. The mall and the

grocery store are the only possible

second stops.

Rubric

a. 1 point for answer; 1 point for

explanation

b. 1 point for each answer; 1 point for

explanation

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