Curriculum Area Project

East Meadow School District

Grade 6-Math Core Curriculum Spiraled Assessments

2012-2013

Karen Schmidt - Woodland M.S. (Facilitator)Randi Panzica Woodland M.S.

Louis DeAngelo, Superintendent, East Meadow School DistrictJames Lethbridge, Principal, Woodland Middle School

Stacy Breslin, Principal, Clarke Middle School

Sixth Grade Math Curriculum Assessments2012 – 2013

Table of Contents

Abstract …………………………………………………………………3

Rationale ……………………………………………………….…….…4

2012 – 2013 6th Grade Assessments…..……………………….…..5

2

Abstract

Sixth Grade Math Core Curriculum Assessments

The New York State Math Assessment is administered to students in

sixth grade every spring. The sixth grade math teachers from Woodland

Middle School worked collaboratively to realign the new sixth grade Core

Curriculum Math Standards. The teachers thoroughly analyzed the Core

Curriculum Math Standards and discussed the important sequential

concept and skill progression that needed to be addressed for the 2012 -

2013 school year. The new in class math assessments were created to

allow rigorous multi-step real world application in a developmentally age

appropriate timeline. In addition, the assessments provide spiraled

questions which reflect the new common core standards presented in the

Glencoe Course One series. The use of the shared assessments between

the two middle schools within the district will help provide consistent

instruction and evaluation. In addition the use of shared assessments will

help indicate necessary interventions.

3

Rationale Sixth Grade Math Curriculum Realignment

New York State has adopted the Core Curriculum Math Standards

beginning the 2012 school year. The sixth grade math teachers will

analyze the new curriculum and create a pacing calendar to correlate with

the pre-test and post-test standards to ensure that all Core Curriculum

Math Standards will be addressed. The teachers will analyze the

standards to determine the more difficult skills that require additional

teaching time and the less difficult skills that require less teaching time and

adjust the calendar accordingly.

4

Name: __________________________ Date: ___________________

Unit 4 Test

1. The Ort Foundation is donating 20 computers and 10 printers to local schools.

What is the greatest number of schools they can donate to, if each school receives

the same number of computers and printers with none left over?

a. 5 schools

b. 10 schools

c. 20 schools

d. 30 schools

2. The fastest roller coaster in the world is located in New Jersey. It travels 27miles

per hour. How fast does the roller coaster travel?

a. 14 miles per hour

b. 49 miles per hour

c. 128 miles per hour

d. 256 miles per hour

3. Frankie orders two hamburgers and a soda for lunch. A hamburger is $3 and a

soda is $1. Which expression shows how much Frankie spent on lunch?

a. 2(3) + 1

b. 2(1) + 3

c. 3 x 1

5

d. 2 x 3 x 1

4. Find the value of the expression below:

12+ 52 – 9

a. 23

b. 41

c. 46

d. 28

5. Find the value of the expression below:

8 + 12 x 4 ÷ 8

a. 10

b. 14

c. 32

d. 16

6. The expression 3j + $10 shows the total cost with shipping for 3 pairs of jeans. Find

the total cost if each pair of jeans costs $25.

a. $85

b. $30

c. $335

d. $25

6

7. The expression 15p + 12r shows the total cost of buying p printed shirts & r plain

shirts. Find the total cost if you buy two printed shirts and three plain shirts.

a. $275

b. $69

c. $27

d. $66

8. The first Olympics were held in Greece more than 7 x 7 x 7 x 7 years ago. What is

this product written in exponential form?

a. 77

b. 74

c. 47

d. 44

9. Olivia ordered 4 ham sandwiches at the deli. The total amount was $30.52.

How much did each sandwich cost?

a. $7.63

b. $7.83

c. $12.63

d. $122.08

7

10.Write an expression for 9 less than x.

a. 9 – x

b. 9 + x

c. x– 9

d. x + 9

11. Which of the following expressions is equivalent to 6(5+3x)

a. 30 + 3x

b. 11 + 9x

c. 30 + 18x

d. 11 + 3x

12. Translate and simplify the following expression: The sum of fifteen and a number

plus 12

a. 15 + n + 12; 27 + n

b. 15 + n + 12; 27n

c. 15 + n – 12; 2 + n

d. 15 – n – 12; 2 – n

8

13. Four friends went to an amusement park. Three of the friends bought tickets for

the rides for x dollars, plus a game pass for $10. The other friend bought just a

ride ticket. Which expression represents this situation?

a. 3x + 10 + x

b. 3(x+10) + x

c. 4x +10

d. 3x + 30

14. Regina purchased 1.75 pounds of turkey breast from her local deli for $5.99 per

pound. To the nearest cent, how much did she spend in all?

a. $3.42

b. $7.74

c. $10.48

d. $10.00

15. Ms. Ayala had 152 pencils. She divided the number of pencils equally among 13

students. She kept the leftover pencils in her desk. What is the greatest number of

pencils Ms. Ayala could have given each student?

a. 9 pencils

b. 10 pencils

c. 11 pencils

d. 12 pencils

9

16. Simplify to find an equivalent expression: 2x + 8 + x

a. 2x + 8

b. 3x + 8

c. 2x2 + 8

d. 3x – 8

17.Which of the following expressions is equivalent to 5 x 12 and name the property?

a. 12 x 5; Associative property of multiplication

b. 12 + 5; Commutative property of addition

c. 5 + 12; Associative property of addition

d. 12 x 5; Commutative property of multiplication

18.Use the distributive property to find the equivalent expression of:

20b + 25aa. 5(4b + 5a)

b. 5ab(4 + 5)

c. ba ( 20 + 25)

d. 4( 5b + 4a)

19. Mr. Jones only filled his car with ¾ of a tank of gas. His car holds 12 gallons of

gas, how many gallons of gas did Mr. Jones put in his car?

a. 4 gallons

b. 5 gallons

c. 9 gallons

d. 10 gallons

10

20. In a machine, a large gear completes a revolution every minute while a small gear

completes a revolution every 24 seconds. If the gears are currently aligned, how

much time will pass before they are aligned again?

a. 12 seconds

b. 24 seconds

c. 1 minute

d. 2 minutes

21.The Smith family went to dinner and ordered 3 kids meals for $4.99 and two adult

meals for $10.99 each. How much total did the Smith family spend on meals?

a. $15.98

b. $36.95

c. $54.95

d. $56.91

22.A total of 32 students are going on a field trip. Each student must pay $4.75 for

travel and $5.50 for dining. How much money should the teacher collect in all from

the students?

a. $836.00

b. $24.00

c. $328.00

d. $42.25

11

23.Claire’s family drove 129.5 miles on the first day of their vacation. The next day

they drove 43.25 miles and the third day they drove 36.5 miles. How many more

miles did they drive on the first day than on the second and third days combined?

a. 211.25 miles

b. 81.75 miles

c. 49.75 miles

d. 43.00 miles

24. Fifteen students took a trip to Great Adventure. Tickets to the park were $40 per

person. The bus fee to travel to the park is $5. Which equation correctly displays

the Distributive Property?

a. 15 + (40 + 5) = (15 + 40) + 5

b. 15(40 + 5) = 15(40) + 15(5)

c. 40 x (15 x 5) = (40 x 15 ) x 5

d. 40(15 + 5) = 40(15) + 40(5)

25. Find the value of the expression when h = 1 and g = 34

(8 g−4 h)h2

a. 2

b. 1

c. 8 89

12

d. 4

Name_______________________ Date___________

Unit 5 Test1. Caleb’s receipt for lunch is shown below. If Caleb pays with a $10 bill, how

much change will he receive?

a. $3.18b. $6.92c. $3.08d. $5.74

2. Two thirds of the students in Hannah’s homeroom plan to do some

volunteering this summer. Of these students, 35 plan to volunteer at the

community center. What fraction of the students in Hannah’s homeroom plan to volunteer at the community center this summer?

a.15

b.25

c.35

13

d.23

3. At a nursery, plants are half off their original price. The sale price of a potted plant is $5.50. The solution to which equation gives the original cost of the plant?

a. 2c = $5.50

b. $5.50c = 2

c.2c = $5.50

d. 2+c=$5.50

4. Sally wants to buy a new jacket that costs $85. She has already saved $15. Which equation represents the amount of money Sally still needs to buy the jacket?

a. J – 15 = 85

b. J + 15 = 85

c. 15 – j = 85

d. J = 15 + 85

5. Albert purchased 2.4 pounds of mixed nuts for $4.79 per pound. How much did he spend in all, to the nearest cent?

a. $12.43

b. $6.71

14

c. $1.99

d. $11.50

6. Alexandria is evaluating the expression below:

Which operation should be performed first according to the order of operations?

a. Subtract 1 from 4b. Divide 8 by 2c. Evaluate the powerd. Multiply 3 and 8

7. Seema runs 5 miles more per week than her sister Padma. If Seema runs 17 miles per week, which equation could be solved to find the number of miles Padma runs?

a. P – 17 = 5b. P – 5 = 17c. P + 17 = 5d. P + 5 = 17

8. Which of the following expressions is equivalent to 6(5 + 3x)?

a. 30 + 3xb. 11 + 3xc. 11 + 9x

15

d. 30 + 18x

9. Solve the following equation

13.2 = t – 4.4

a. 8.8b. 88c. 176d. 17.6

10. The Smiths traveled 182 miles in 3 12 hours. The equation 3.5m = 182

can be used to find their mean rate of travel. What is the value of m?

a. 60b. 52c. 50d. 48

11. One third of the tomatoes in a garden are ripe. If 6 tomatoes are ripe, which equation can be used to find the total number of tomatoes in the garden?

a. 6t = 3

16

b. t3 = 6

c. 3t = 6

d. t – 6 = 3

12. Antwaun waters his lawn 3 times a week. If he watered his lawn 24

times in all, which equation could be used to find how many weeks he has

been watering his lawn?

a. 24 – x = 3

b.x3 = 24

c. x + 3 = 24

d. 3x = 24

13. What is the value of s + t - u when

s = 12, t = 8, and u = 20?

a. 10

b. 15

c. 0

d. 18

14. Which of the following is not a factor of 84?

a. 8

17

b. 2

c. 3

d. 7

15. Five friends each spent $9 on bowling games and $3.50 on shoe

rentals. Which expression cannot be used to find the total amount the friends

spent?

a. 5($12.50)

b. 5($9) + 5($3.50)

c. 5($9)

d. 5($9 + $3.50)

16. Which value of x makes this equation true?x7 = 14

a. 98

b. 21

c. 2

d. 0.5

17. Jeff is making fruit punch for the school dance. He needs 3 34 cups of

pineapple juice per batch. If Jeff wants to make 412 batches of punch, how

many cups of pineapple juice will he need?

18

a. 15 12 cups

b. 16 78 cups

c. 12 38 cups

d. 8 14 cups

18. Which property is illustrated by the equation?

9x 1 = 9

a. Identity property of multiplication

b. Associative property of multiplication

c. Commutative property of multiplication

d. Distributive property

19. The volume of a certain cube can be found using the expression 53 .

What is 53 written as a product of the same factor?

a. 5 x 3

b. 3 x 3 x 3 x 3 x 3

c. 3 x 5

d. 5 x 5 x 5

20. Kelly earned $20 for babysitting. She has also earned money by doing

chores for 5 weeks. Altogether, she has earned $100. How much does she

earn each week for doing chores?

19

a. $20

b. $16

c. $25

d. $10

21. Felipe biked 21 miles in 3 hours. He can find his average number of

miles per hour by solving the following equation, 3b = 21

What is the value of b?

a. 63

b. 14

c. 7

d. 3

22. Mr. Jones replaces the light bulb in the hall closet every 9 months and

replaces the air filter every 3 months. If he just replaced both items this

month, how long will it be until he changes both the light bulb and the air

filter?

a. 3 months

b. 12 months

c. 9 months

d. 27 months

20

23. In the 2008 Summer Olympics, the United States won 11 more medals

in swimming that Australia. The United States won a total of 31 medals.

Find the number of medals won by Australia.

a. 42

b. 22

c. 20

d. 30

24. Which of the following statements is not true?

a. 0.6 = 35

b. 0.125 = 18

c. 2.015 = 21

100

d. 10.38 = 10 1950

25. In Mrs. Peterson’s class 57 of the students are wearing jeans today. If

there are about 27 students in her class, how many students are wearing

jeans today?

a. 4 students

b. 8 students

21

c. 20 students

d. 24 students

Name: ___________________Unit 6 Test

1. At a nursery, plants are half off their original price. The sale price of a potted plant is $5.50. The solution to which equation gives the original cost of the plant?

a.c2 = $5.50

b. 2+c=$5.50c. 2c = $5.50d. $5.50c = 2

2. The table below shows the cost for different number of tickets.

Number of Tickets 2 4 6 8 10

Cost 12 24 36 48 60

Based on the information in the table, which of the following statements is true?

a. The more tickets you buy the less each ticket costs.

22

b. Each ticket costs $2.c. Each ticket costs $6d. The more tickets you buy the greater each ticket costs.

3. Which ratio is NOT equivalent to 5:8?

a. 10:16

b.2032

c. 10 out of 18d. 15 to 24

4. Out of 32 students in a class, 5 said they ride their bikes to school. Based on these results, how many of the 800 students in the school ride their bikes to school?

a. 75 studentsb. 100 studentsc. 150 studentsd. 125 students

5. In an orchestra, there are 42 woodwind players to 56 brass players. What is the ratio of woodwinds to brass written as a fraction in simplest form?

a.34

b.68

c.43

d.78

6. What value of x results in a true number sentence in the equation

23

x6 = 2

a. 8b. 3c. 12d. 4

7. A manatee surfaced for air 2 times in 60 seconds. How many seconds went by before the manatee surfaced one time?

a. 10 secondsb. 60 secondsc. 20 secondsd. 30 seconds

8. Kono divides the numerator and denominator of 4872 by the greatest common factor

to simplify the fraction in one step. By what number does he divide?

a. 16b. 12c. 24d. 2

9. Which of the following expressions is equivalent to 7(x + 3)?

24

a. 7x + 21b. 3x + 21c. 7x + 3d. 10 + x

10.Janeen’s mother is 47. She is 26 years older than Janeen. Which equation can be solved to find Janeen’s age?

a. J + 26 = 47b. 26j = 47c. 47j = 26d. J – 26 = 47

11.The ratio table shows how much Raymond’s brother earns for working different number of hours. How many hours would he need to work in order to earn $176?

Hours 5 8 15 ?

Earnings $40 $64 $120 $176

a. 18 hoursb. 20 hoursc. 22 hoursd. 24 hours

12.Kali earned $40 for babysitting for 5 hours. At this rate, how much will she earn for babysitting for 7 hours?

a. $47b. $45c. $56d. $8

25

13.What is the greatest common factor of 36 and 42?

a. 6b. 8c. 12d. 2

14.One serving of a fruit punch recipe serves 16 people. Which of the following lists the ordered pairs (number of servings, number of people served) for 1, 2, 3, and 4 servings?

a. (1,32), (2, 48), (3, 64), (4, 80)b. (1, 16), (2, 32), (3, 48), (4, 64)c. (16, 1), (32, 2), (48, 3), (64, 4)d. (1, 16), (2, 32), (3, 48), (4, 60)

15.Which property is represented by the equation below?

23x

32 = 1

a. Multiplicative Inverse propertyb. Identity Property of Multiplicationc. Zero Property of Multiplicationd. Commutative Property of Multiplication

16.The table shows the animals at a petting zoo. What is the ratio of GOATS to the total number of animals?

26

Animals at a Petting Zoo

Chickens 2Deer 4Donkey 3Goats 6

a.96

b.25

c.52

d.69

17.Crystal’s dog and puppy weigh 102 pounds combined. If Crystal’s dog weighs 87 pounds, which equation could be used to find the weight in pounds of the puppy p?

a.p

87 = 102

b. 87 p=102c. 87-p = 102d. 87 + p = 102

18.The table below shows the number of pennies, nickels, dimes and quarters that Heather has in her purse. What is the ratio of dimes to nickels expressed as a fraction in simplest form?

Heather’s Coins

Dimes 9

Nickels 6

27

Pennies 8

Quarters 4

a.23

b.32

c.35

d.25

19.The table below shows the length of the hiking trails at a local park. Aaron hikes half of the BLUE trail. What distance did he hike?

Hiking TrailsTrail Length (miles)

Red 1.09Blue 1.86Green 1.10Yellow 1.28

a. 3.72 milesb. 1.86 milesc. 0.93 miled. 0.5 mile

20.Five notebooks cost $20. At this rate, how much would 4 notebooks cost?

28

a. $25b. $16c. $20d. $30

21.According to the key of a particular park map, every 5 inches on the map represents 3 miles of trails in the park. How may inches on the map represents 9 miles on the park trails?

a. 9 in.b. 5 In.c. 15 in.d. 3in.

22.One bus leaves a stop every 12 minutes. A second bus leaves the same stop every 18 minutes. If they both leave at 3:20 P.M., at what time will they next leave together?

a. 3:32 P.M.b. 3:56 P.M.c. 3:50 P.M.d. 3:38 P.M

23.Mrs. Rome has 23 of a pan of lasagna left after dinner. She wants to divide the

leftover lasagna into 4 equal servings. What fraction of the original pan does each serving represent?

a.112

b.38

c.14

29

d.16

24.A cookie recipe calls for a ratio of 4 cups of flour to 3 cups of sugar. For each cup of flour that is used, how many cups of sugar are needed?

a.37

b.43

c.23

d.34

25.Two-thirds of the students in Hannah’s homeroom plan to do some volunteering

this summer. Of these students,35 plan to volunteer at the community center.

What fraction of the students in Hannah’s homeroom plan to volunteer at the community center this summer?

a.35

b.25

c.23

d.1

15

30

Name: ___________________Unit 6 Test

26.At a nursery, plants are half off their original price. The sale price of a potted plant is $5.50. The solution to which equation gives the original cost of the plant?

a.c2 = $5.50

b. 2+c=$5.50c. 2c = $5.50d. $5.50c = 2

27.The table below shows the cost for different number of tickets.

31

Number of Tickets 2 4 6 8 10

Cost 12 24 36 48 60

Based on the information in the table, which of the following statements is true?

e. The more tickets you buy the less each ticket costs. f. Each ticket costs $2.g. Each ticket costs $6h. The more tickets you buy the greater each ticket costs.

28.Which ratio is NOT equivalent to 5:8?

a. 10:16

b.2032

c. 10 out of 18d. 15 to 24

29.Out of 32 students in a class, 5 said they ride their bikes to school. Based on these results, how many of the 800 students in the school ride their bikes to school?

a. 75 studentsb. 100 studentsc. 150 studentsd. 125 students

32

30. In an orchestra, there are 42 woodwind players to 56 brass players. What is the ratio of woodwinds to brass written as a fraction in simplest form?

a.34

b.68

c.43

d.78

31.What value of x results in a true number sentence in the equation

x6 = 2

a. 8b. 3c. 12d. 4

32.A manatee surfaced for air 2 times in 60 seconds. How many seconds went by before the manatee surfaced one time?

a. 10 secondsb. 60 secondsc. 20 secondsd. 30 seconds

33

33.Kono divides the numerator and denominator of 4872 by the greatest common factor

to simplify the fraction in one step. By what number does he divide?

a. 16b. 12c. 24d. 2

34.Which of the following expressions is equivalent to 7(x + 3)?

a. 7x + 21b. 3x + 21c. 7x + 3d. 10 + x

35.Janeen’s mother is 47. She is 26 years older than Janeen. Which equation can be solved to find Janeen’s age?

a. J + 26 = 47b. 26j = 47c. 47j = 26d. J – 26 = 47

36.The ratio table shows how much Raymond’s brother earns for working different number of hours. How many hours would he need to work in order to earn $176?

Hours 5 8 15 ?

Earnings $40 $64 $120 $176

34

e. 18 hoursf. 20 hoursg. 22 hoursh. 24 hours

37.Kali earned $40 for babysitting for 5 hours. At this rate, how much will she earn for babysitting for 7 hours?

a. $47b. $45c. $56d. $8

38.What is the greatest common factor of 36 and 42?

a. 6b. 8c. 12d. 2

39.One serving of a fruit punch recipe serves 16 people. Which of the following lists the ordered pairs (number of servings, number of people served) for 1, 2, 3, and 4 servings?

a. (1,32), (2, 48), (3, 64), (4, 80)b. (1, 16), (2, 32), (3, 48), (4, 64)c. (16, 1), (32, 2), (48, 3), (64, 4)d. (1, 16), (2, 32), (3, 48), (4, 60)

35

40.Which property is represented by the equation below?

23x

32 = 1

a. Multiplicative Inverse propertyb. Identity Property of Multiplicationc. Zero Property of Multiplicationd. Commutative Property of Multiplication

41.The table shows the animals at a petting zoo. What is the ratio of GOATS to the total number of animals?

Animals at a Petting Zoo

Chickens 2Deer 4Donkey 3Goats 6

e.96

f.25

g.52

h.69

42.Crystal’s dog and puppy weigh 102 pounds combined. If Crystal’s dog weighs 87 pounds, which equation could be used to find the weight in pounds of the puppy p?

36

a.p

87 = 102

b. 87 p=102c. 87-p = 102d. 87 + p = 102

43.The table below shows the number of pennies, nickels, dimes and quarters that Heather has in her purse. What is the ratio of dimes to nickels expressed as a fraction in simplest form?

Heather’s Coins

Dimes 9

Nickels 6

Pennies 8

Quarters 4

e.23

f.32

g.35

h.25

44.The table below shows the length of the hiking trails at a local park. Aaron hikes half of the BLUE trail. What distance did he hike?

37

Hiking TrailsTrail Length (miles)

Red 1.09Blue 1.86Green 1.10Yellow 1.28

e. 3.72 milesf. 1.86 milesg. 0.93 mileh. 0.5 mile

45.Five notebooks cost $20. At this rate, how much would 4 notebooks cost?

a. $25b. $16c. $20d. $30

46.According to the key of a particular park map, every 5 inches on the map represents 3 miles of trails in the park. How may inches on the map represents 9 miles on the park trails?

a. 9 in.b. 5 In.c. 15 in.d. 3in.

38

47.One bus leaves a stop every 12 minutes. A second bus leaves the same stop every 18 minutes. If they both leave at 3:20 P.M., at what time will they next leave together?

a. 3:32 P.M.b. 3:56 P.M.c. 3:50 P.M.d. 3:38 P.M

48.Mrs. Rome has 23 of a pan of lasagna left after dinner. She wants to divide the

leftover lasagna into 4 equal servings. What fraction of the original pan does each serving represent?

a.112

b.38

c.14

d.16

49.A cookie recipe calls for a ratio of 4 cups of flour to 3 cups of sugar. For each cup of flour that is used, how many cups of sugar are needed?

a.37

b.43

c.23

d.34

39

50.Two-thirds of the students in Hannah’s homeroom plan to do some volunteering

this summer. Of these students,35 plan to volunteer at the community center.

What fraction of the students in Hannah’s homeroom plan to volunteer at the community center this summer?

a.35

b.25

c.23

d.1

15

40