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6th Grade Math Assessment Report

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enter OTC

Student Information

Assessment Results

Name: ___________________________________________________ District and school: ________________________________________ Service start date: ____________________ Grade: _______

*CST level: ____________

This student is: ELL

Special Ed

Honors/Gate

AP/IB

Learning disability: ______________________________________ Other: ________________________________________________ Service type (check all that apply) HW help

Skill building

Test Prep

Other

If other, please specify: _____________________________________

Student Concerns

Overall score (55)

_____%

Number Sense (28) Whole Numbers (#’s 1 - 6)

____/ 6

Decimals (#’s 7 - 13)

____/7

Fractions (#’s 14 - 20)

____/7

Percents (#’s 21 - 23)

____/3

Decimals, Fractions, and Percents (# 24) ____/1 Pre-Algebra Concepts (#’s 25 - 28)

____/4

Algebra and Functions (11)

______%

Rates (# 29)

____/1

Expressions and Equations (#’s 30 - 37)

____/8

Functions (#’s 38 - 39)

____/3

Measurement and Geometry (7)

Parent/guardian would like to work on:

______%

______%

Measurement (#’s 40 - 43)

____/4

Geometry (#’s 44 - 46)

____/3

Test taking skills

Organizational skills

Study skills

Memorization skills

Increase motivation

Confidence building

Statistics (# 47 - 50)

____/4

Decrease test anxiety

Responsibility

Data Analysis (# 51)

____/1

Probability (#’s 52 - 55)

____/4

Comments: ________________________________________________

Statistics, Data Analysis, and Probability (9)

__________________________________________________________ __________________________________________________________ __________________________________________________________

Property of Oxford Tutoring Center © 2006. All rights reserved.

*CST Legend: A - Advanced (90% and above) P - Proficient (80% - 89%) B - Basic (70% - 79%) BB - Below basic (60 - 69%) FBB - Far below basic 59% and below)

______%


Tut

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ing

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6th Grade Math Assessment Report

enter OTC

Instructional Focus Student is:

Comments: ________________________________________________ Checklist Level (check all that apply):

__________________________________________________________

Advanced

Kindergarten

__________________________________________________________

Proficient

1st Grade

__________________________________________________________

Basic

2nd Grade

__________________________________________________________

Below Basic

3rd Grade

__________________________________________________________

Far Below Basic

4th Grade

__________________________________________________________

5th Grade

__________________________________________________________

6th Grade

__________________________________________________________

7th Grade/Pre-Algebra

__________________________________________________________

8th Grade/Algebra I

__________________________________________________________

Geometry

__________________________________________________________

Algebra II/Trigonometry

__________________________________________________________

Pre-Calculus

__________________________________________________________

Calculus

__________________________________________________________

Other: _____________________

__________________________________________________________

Comments: ________________________________________________

__________________________________________________________

__________________________________________________________

__________________________________________________________ __________________________________________________________

Session Frequency: 1x a week

__________________________________________________________ __________________________________________________________

2x’s a week

__________________________________________________________

3x’s a week other (please specify): ___________________

__________________________________________________________

Property of Oxford Tutoring Center © 2006. All rights reserved.


First Name: _______________________________ Last Name: ________________________________

page 1

NUMBER SENSE Please pick the best answer. If the answer is not here, pick “not here”. 1

What is the value of the underlined digit? 78,879,983

2

Round the number to the nearest thousands place. 743,868

3

4

What is 14,671 + 8,725?

Subtract. 30,054 - 5,681 =

5

Multiply. 3,365 x 43 =

6

Javier runs a catering business. He needs to put 2,450 plastic cups into boxes. Each box holds 70 cups. How many boxes will Javier need?

7

Round to the nearest tenths place. 32.128

8

9

10

Find the sum. 13.821 + 5.67 + 0.36

Find the difference. 15.7 - 3.861

Mason wants to add to his stamp collection. Each stamp costs $0.35. How much will Mason have to pay for 46 stamps? Property of Oxford Tutoring Center © 2006. All rights reserved.

a. b. c. d.

ten millions ten thousands millions Not here

a. 743,000

b. 744,000

c. 743,900

d. Not here

a. 22,396

b. 23,396

c. 13,396

d. Not here

a. 34,433

b. 35,633

c. 24,373

d. Not here

a. 132,385

b. 144,695

c. 23,555

d. Not here

a. b. c. d.

37 boxes 35 boxes 32 boxes Not here

a. 32.000

b. 32.100

c. 32.200

d. Not here

a. 19.851

b. 244.24

c. 24.424

d. Not here

a. 11.961

b. 12.161

c. 11.839

d. Not here

a. $3.68

b. $1,610.00

c. $161.00

d. Not here

Number correct: _____/10


First Name: __________________________________ Last Name: ___________________________________

page 2

NUMBER SENSE Please pick the best answer. 11

12

Trevor spent $13.12 on golf balls. If each golf ball cost $0.82, how many golf balls did he purchase? Nate bought 2 packs of soda for $4.60 each, 1 box of cereal for $3.59, and $2.63 on a pack of water. If he gave the cashier $20.00, how much change did he receive?

13 Find the quotient. 0.42 ÷ 0.8 =

14

Add. 3+2 = 5 3

17

18

19

20

b. 15

c. 0.16

d. Not here

a. $15.42

b. $4.58

c. $9.18

d. Not here

a. 5.25

b. 525

c. 0.525

d. Not here

5 8 c. 1 1 5

4 b. 1 15

5 a. 2 cups 7 c. 2 5 cups 12

5 b. 1 cups 12

2 5 3 c. 3 5

2 b. 4 5

a.

15 Vaness is making a cake for the annual school bake sale. The recipe calls for 1 23 cups of sugar and 1 34 cups of brown sugar. How many total cups of sugar will she use? 16

a. 16

Subtract. 2 5-1 = 5

d. Not here

a.

1

1

Damien ran 3 6 miles on Friday. He ran 2 4 miles on Sunday. How many more miles did he run on Friday?

a.

d. Not here

d. Not here

1 miles 12

1 b. 1 miles 12

c. 11 miles 12

d. Not here

Multiply. 3 2 x = 8 9

1 a. 12

6 b. 72

c. 5 17

d. Not here

Find the product. 11 x 25= 5 8

3 a. 2 40 c. 2 4 13

17 b. 2 20

Divide.

2 a. 2 3 c. 13 1 2

b. 12 1 4

6 ÷21 = 4 Property of Oxford Tutoring Center © 2006. All rights reserved.

d. Not here

d. Not here Number correct: _____/10


First Name: __________________________________ Last Name: ___________________________________

page 3

NUMBER SENSE Please pick the best answer. 21 What is 22% of 6?

22

What percent of 10 is 7?

23 Anthony bought a video game that was on sale for 25% off. If the game originally cost $54.00, how much did Anthony pay for the game?

a. 132

b. 13.2

c. 0.132

d. Not here

a. 105%

b. 70%

c. 142.8%

d. Not here

a. $13.50 b. $40.50 c. $29.00 d. Not here 3

1

a. 75%, 5, 0.53, 2 1 3 b. 2 , 0.53, 75%, 5 3 c. 12 , 0.53, 5 , 75% d. Not here

24 Order from least to greatest. 1 3 , 75%, 0.53, 2 5 25 Which expression has a solution of -14?

26 Find the product. -15 x -4 =

27 Write the prime factorization of 48.

a. -9 - 5

b. -9 + 5

c. -5 - (-9)

d. Not here

a. -60

b. -19

c. 19

d. Not here

a. 8 x 6

b. 2 x 3

c. 2 28 Solve for x.

4

4

d. Not here

a. 3.2 inches b. 5 inches

10 in.

c. 20 inches

x

d. Not here 8 in.

4 in. Property of Oxford Tutoring Center Š 2006. All rights reserved.

Number correct: _____/8


First Name: __________________________________ Last Name: ___________________________________

page 4

ALGEBRA AND FUNCTIONS Please pick the best answer. 29

30

Abigail needs to drive to her sister’s house across town. If she drives 52 miles on 2 gallons of gas, how many miles per gallon does her car get? Write the following expression. The product of 2 and a number, n, increased by 5.

31 Evaluate the expression when s = 2, p = 4, and r = 6. s + (r - p)² ÷ 4

a. 26 mi/gal

b. 104 mi/gal

c. 54 mi/gal

d. Not here

a. b. c. d.

2÷n+5 2+nx5 2xn+5 Not here

a. 1.5

b. 3

c. 1

d. Not here

32 Simplify the expression using the distributive property. 14 x (3 + 8)

a. b. c. d.

14 x 3 + 14 x 8 14 x 3 + 8 14 x 3 + 3 x 8 Not here

33 Matty’s family has $1,600 this month. If they spent $42 per day on food, which expression represents how much money they have after x days?

a. b. c. d.

1,600 - 42x 1,600 + 42x 1,600x - 42 Not here

34 Which property is being demonstrated?

a. b. c. d.

Commutative Associative Distributive Not here

(12 + 2) + 6 = 12 + (2 + 6)

35

Maxine started with $86.75 in her bank account. After school on Monday, she spent some money at the candy store. Which equation would you use to find the amount of money, m, Maxine spent if she has $50.61 left in her account?

a. $50.61 - m = $86.75 b. $86.75 + m = $50.61 c. $86.75 - m = $50.61 d. Not here

36 Solve for n. n - 2.8 = 65.18

37 Solve for h. 32 x h = 160

Property of Oxford Tutoring Center © 2006. All rights reserved.

a. n = 67.98

b. n = 62.38

c. n = 649

d. Not here

a. h = 4,800

b. h = 192

c. h = 128

d. Not here

Number correct: _____/9


First Name: __________________________________ Last Name: ___________________________________

page 5

ALGEBRA AND FUNCTIONS Please pick the best answer. 38 Find two of the coordinates.

6 4

A

3 2

D

b. (0,-4) and (0,3)

C

1 -6 -5 -4 -3 -2 -1

a. (3,0) and (-3,-4)

B

5

-1

1 2

3

4

5 6

-2 -3 -4 -5

E

c. (-3,2) and (5,1) d. Not here

-6

39 Which equation represents the given function?

a. x ÷ y = 2

6 5 4

b. x - y = 2

3 2 1 -6 -5 -4 -3 -2 -1

-1

1 2

3

4

5 6

c. x + y = 2

-2 -3

d. Not here

-4 -5 -6

MEASUREMENT AND GEOMETRY

Please pick the best answer.

40 How many feet are in 72 inches?

41 What is the perimeter and area of the figure?

b. 6

c. 7

d. Not here

a. P = 50 cm. A = 150 cm.²

12 cm. 6 cm.

4 cm.

a. 5

4 cm.

b. P = 72 cm. A = 150 cm.² c. P = 72 cm. A = 200 cm.²

4 cm. 20 cm. 42 Find the circumference and area.

d. Not here

16

ft.

a. C = 32 ft. A = 50.24 ft.² b. C = 50.24 ft. A = 200.96 ft.² c. C = 200.96 ft. A = 50.24 ft.² d. Not here

Property of Oxford Tutoring Center © 2006. All rights reserved.

Number correct: _____/5


First Name: __________________________________ Last Name: ___________________________________

MEASUREMENT AND GEOMETRY

page 6

Please pick the best answer.

a. V = 48 ft³ SA = 44 ft²

43 Which of the following volumes and surface areas are correct for the following rectangular prism?

b. V = 24 ft³ SA = 88 ft²

6 ft.

4 ft. 44

c. V = 48 ft³ SA = 88 ft²

2 ft.

d. Not here

Find the measurement of the missing angle in the triangle.

a. 70˚

b. 10˚ c. 250˚

63˚

d. Not here

47˚

45 What is the complement of the given angle?

57˚ 46 Name an angle adjacent to 8. 3 5 6 7

4 8 9

10

a. 57˚

b. 123˚

c. 33˚

d. Not here

a.

10

b.

9

c.

5

d. Not here

STATISTICS, DATA ANALYSIS, AND PROBABILITY

Please pick the best answer.

47 Find the mean of the following data set. 3, 2, 16, 18, 21

48 Find the mode of the following data set. 10, 8, 5, 14, 5, 6, 5, 4, 10, 8

Property of Oxford Tutoring Center © 2006. All rights reserved.

a. 60

b. 30

c. 12

d. Not here

a. 5

b. 8

c. 10

d. Not here Number correct: _____/6


First Name: __________________________________ Last Name: ___________________________________

STATISTICS, DATA ANALYSIS, AND PROBABILITY 49

Name an outlier.

x

x x x x

x 66 67 68 69

65%

71 72 73 74

70%

76 77 78 79

75%

x x x x x x x x

x x x x 81 82 83 84

80%

x x x x x x x x

86 87 88 89

85%

91 92 93 94

90%

Please pick the best answer.

a. 95% b. 80%

x x x x

x x

95%

100%

b. B

How Selected

c. C

B

Every 28th number in the phone book is called and surveyed.

C

Addresses are drawn at random and are sent a survey to complete.

d. Not here

51 Who ran the most miles and how many miles did he run? Miles Ran Each Week

a. David - 29 Joe David

76-

Miles ran

d. Not here

a. A

People at the gym are randomly selected and given a survey.

A

c. 96%

96 97 98 99

50 Jack and Jill want to see how many people exercise on a daily basis in Riverside. They use three different sampling methods to poll a sample of people. Which method results in a biased sample? Sample

page 7

b. Joe - 30 c. David - 30

5-

d. Not here

432-

52

53

Number of weeks

Week 6

-

Week 5

-

Week 4

-

Week 3

-

Week 2

-

Week 1

-

-

1-

Week 7

Peter is having lunch in the cafeteria today. He has 3 choices of sandwich meat, 6 choices of sides, and 7 choices of a drink. How many possible combinations can Peter have? In her drawer, Jenny has 3 blue socks, 6 white socks, and 9 black socks. What is the probability that she will take out a sock that is not white? Property of Oxford Tutoring Center Š 2006. All rights reserved.

a. 16

b. 126

c. 25

d. Not here

a. 1 3 c. 1 2

b. 2 3 d. Not here Number correct: _____/5


First Name: __________________________________ Last Name: ___________________________________

STATISTICS, DATA ANALYSIS, AND PROBABILITY 54

page 8

Please pick the best answer.

There are 3 heart cards, 3 spade cards, and 2 diamond cards laid face down on a table. What is the probability that you choose a heart or a spade?

55 Jerry has a bag of marbles that has 4 red marbles and 4 blue marbles. He also has a cube numbered 1-6. What is the probability that he pulls out a red marble and then rolls a 3 on the cube?

Property of Oxford Tutoring Center Š 2006. All rights reserved.

a. 3 4 c. 1 4

b. 3 8

2 3 c. 1 12

b. 1 2

a.

d. Not here

d. Not here

Number correct: _____/2


PRE-ALGEBRA CONCEPTS 4

Writing and Evaluating Exponents Goals:

Review:

Standards:

~ Students will learn what an exponent is, ~ Multiplication of whole numbers how to write exponents, and how to evaluate exponents.

Grade Six: NS 2.0

Topic 1: Writing Exponents

Topic 2: Evaluating Exponents

Warm-Up Activity- Ask if anybody knows what an exponent is. If they do, have them use the board to explain it to you. Then, explain to students that we use exponents to express numbers that are multiplied together two times or more.

1. Set up the problem.

1. Write the following exponent on the board and explain its parts.

base exponent 2. This represents a product of factors or 4 x 4 x 4.

Evaluate 8² x 2 4 .

2. Write as a product of factors. 3. Evaluate.

8 x 8 = 64 x 2 = 128 x 2 = 256 x 2 = 512 x 2 = 1,024

1. Set up the problem. 2. Write as a product of factors. 3. Evaluate.

3. Set up the problem. Write using exponents: 2x2x2x2x2 4. The base will be 2. Count the number of twos to find the exponent value. 25 1. Set up the problem. Write using exponents: 4x4x6x6x6 2. The bases will be 4 and 6. Count the number of fours and sixes to find the exponent value. 4² x 6³

8x8x2x2x2x2

Evaluate (-3)³. -3 x -3 x -3 -3 x -3 = 9 x -3 = -27

Closing Activity- This closing activity will review all the lessons on integers and exponents. Split the group into two separate groups. Hand a gameboard to each group. Use color counters as game pieces/tokens. Each person rolls the dice. the person who rolls the highest number goes first. The first player rolls the dice and draws a card. The player completes the problem. If correct, the player moves ahead the rolled number of spaces. If incorrect, the player moves back the rolled number of spaces. The cards and spaces on the board will have further instructions that students should follow if they land on the space or get the card.

Sample Problems: Write using exponents.

Sample Problems: Evaluate.

1. 6 x 6 x 6 = 6³

1. 3 4 = 81

2. 3 x 3 x 5 x 5 = 3² x 5²

2. 4² x 2³ = 128

3. 2 x 2 x 2 x 2 x 8 x 8 = 24 x 8²

3. (-2)³ x 3 4 = -648

4. 9 x 7 x 7 x 7 x 4 x 4 = 9 x 7³ x 4²

4. 5² x 35 = 6,075 Property of OTC. All Rights Reserved.


Writing Expressions and Equations Goals: ~ Students will learn the difference between expressions and equations. ~ They will also learn to write expressions and equations from words.

Review:

Standards:

~ Math terminology (sum, difference, product, quotient, is, more than, less than, etc.)

Topic 1: Writing Expressions

PRE-ALGEBRA CONCEPTS 5

Grade Six: AF 1.1, 1.2

Topic 2: Writing Equations

1. Set up the problem. Warm-Up Activity- Can students tell you what the Write the equation: difference is between expressions and equations? Have The difference of five times a them guess about how to tell the difference between number and 16 is forty four. the two. Once the discussion is over, explain that an 2. Look for key words like “difference”,“five times”, and equation has an equal sign while an expression does “a number”. Difference means the answer to a not. Expressions can only be simplified and equations subtraction problem, five times means can be solved. multiplication, and a number is a variable. 1. Set up the problem. Write the expression: 3. Write the expression. Three less than four times 5x - 16 a number. 2. Look for key words like “less than”,“four times”, and “a number”. Less than means subtraction, four times means multiplication, and a number means a variable.

4. Students should also practice translating equations into words. For example, 3(x + 5) = 18 would be “three times the sum of a number and 5.”

3. Write the expression.

Remind students: “Is” refers to the equal sign of an equation. Also give an example of when parenthesis would be used. For example, 2 times the difference of a number and 6 is 7. Since it is 2 times the DIFFERENCE of something, the DIFFERENCE expression needs to be in parenthesis: 2(x - 6) = 7.

4x - 3 3 - 4x would be incorrect because the 3 is less than something else, therefore it needs to come after that something else. In this case, after 4x. 4. Students should also practice translating expressions into words. For example, x² + 2 would be “the sum of a number squared and 2.”

Closing Activity- Write the following symbols and numbers on the board: 3, 13, 5, x, ÷, ², (), +, -, and =. Have students take turns writing an expression or equation on the board using the listed symbols. The rest of the class should translate the expression/equation into words.

Sample Problems: Write an expression.

Sample Problems: Write an equation.

1. The sum of a number and eight.

1. The product of seven and a number plus twenty is thirty-four.

2. The quotient of two times a number and six. 3. Four times the sum of a number and three.

2. Two times a number squared minus twelve is seventeetn.

4. Nine less than a number squared.

2. Four times a number plus five is eleven. Property of OTC. All Rights Reserved.

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Math Intervention Curriculum

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