8_s1c2po3_percent Increase & Rational Irrational

8th Grade Math - Clashman M08-S1C1-02 M08-S1C1-03 M08-S1C2-03 Standard:

Name (First & Last) Date

S1C2 UNDERSTAND AND APPLY NUMERICAL OPERATIONS AND THEIR RELATIONSHIP TO ONE ANOTHER. M08-S1C2-03. Solve problems involving percent increase, percent decrease, and simple interest rates.

Objective:

DIRECTIONS: Select one of the choices provided and write it on the line next to the corresponding number. You MUST show work for credit. (16 points) 1)

George had $4,500 in a savings account earning simple interest at a rate of 2.5% per year. At the end of the year, George paid 25% in taxes on his interest. How much money did George earn in interest that year after paying taxes? (2 points)

A B C D E 2)

Russell borrowed $150 at 12% interest for 2 years. If Russell makes no payments, how much simple interest will he owe at the end of two years? (2 points)

A B C D E 3)

$1.80 $3.60 $18.00 $36.00 None of the above

Jessica has an account with a credit union. Her account earns 2.1% simple interest yearly. Exactly a year and a half ago, she opened her account with $900. How much interest has she earned so far? (2 points)

A B C D E 4)

$33.75 $84.38 $105.00 $135.00 None of the above

$2,835.00 $1,890.00 $28.35 $37.80 None of the above

Calculate the percent decrease: 63,000 54,810 (2 points)

A B C D E

13% decrease 47% decrease 87% decrease 53% decrease None of the above

5)

Ike opened a savings account with a deposit of $6,000. Three years later, he had earned a total of $540 in simple interest. If he made no additional deposits, what was the interest rate on his account? (2 points)

A B C D E 6)

An item is priced at $13.38. If the sales tax is 4%, what does the item cost including sales tax? (2 points)

A B C D E 7)

$13.42 $13.92 $17.38 $15.42 None of the above

Gia opened two savings accounts at two different banks. One account earns an annual 3.4% simple interest, and the other earns half as much. If she deposited $500 in each account, how much total interest will she have earned in 5 years? (2 points)

A B C D E 8)

3% 0.03 % 6% 0.3 % None of the above

$63.75 $85.00 $1,275.00 $127.50 None of the above

Calculate the percent increase: 4 11 (2 points)

A B C D E

27.5% increase 70% increase 17.5% increase 175% increase None of the above

S1C2-03

Score Key – Total Points 16 - 15 = Exceeds

14 - 13 = Meets

12 - 11 = Approaches <11 = Falls Far Below

Standard: Objective:

S1C1 UNDERSTAND AND APPLY NUMBERS, WAYS OF REPRESENTING NUMBERS, AND THE RELATIONSHIPS AMONG NUMBERS AND DIFFERENT NUMBER SYSTEMS. M08-S1C1-03. Model the relationship between the subsets of the real number system.

DIRECTIONS: Consider whether the statements below are True or False. In the corresponding box indicate a T for TRUE or an F for FALSE. (5 points) 6)

-5 is a natural number and an integer.

True/False (1 point)

7)

1.25 is an integer, but not a whole number.

True/False (1 point)

8)

-1 is an integer

True/False (1 point)

9)

50 is a natural number, a whole number, and an integer.

True/False (1 point)

10)

-3 is NOT a natural number

True/False (1 point)

S1C1-03

Score Key – Total Points 5 = Exceeds

4 = Meets

3 = Approaches

<3 = Falls Far Below

Match the vocabulary term with its location on the Venn diagram. Write the letter in the corresponding box. Each response will be used only once. (5 points) 11)

Integers

(1 point)

12)

Irrational

(1 point)

13)

Natural

(1 point)

14)

Real

(1 point)

15)

Whole

(1 point)

S1C1-03

A F

E

D C

B

Score Key – Total Points 5 = Exceeds

4 = Meets

3 = Approaches

<3 = Falls Far Below

Standard:

S1C1 UNDERSTAND AND APPLY NUMBERS, WAYS OF REPRESENTING NUMBERS, AND THE RELATIONSHIPS AMONG NUMBERS AND DIFFERENT NUMBER SYSTEMS. M08-S1C1-02. Classify real numbers as rational or irrational.

Objective:

DIRECTIONS: Consider whether the statements below are True or False. In the corresponding box indicate a T for TRUE or an F for FALSE. (5 points) 11) ALL decimals are rational numbers True/False (1 point) 12)

/2 belongs to the rational subset

True/False (1 point)

13)

ALL the numbers in the set {√4, √16, √81} are rational numbers

True/False (1 point)

14)

0 is a natural number

True/False (1 point)

15)

The set of real numbers can be broken up into two disjoint subsets, rational and irrational.

True/False (1 point)

S1C1-02

Score Key – Total Points 5 = Exceeds

4 = Meets

3 = Approaches

<3 = Falls Far Below

DIRECTIONS: Select one of the choices provided and write it on the line next to the corresponding number. (20 points) 1)

Which of the following is an irrational number? (2 points) A B C D

2)

Which of the following is an irrational number? (2 points) A B C D

3)

5.443 -3.21 3.4562 x 103 √3

√2 √4 √16 √25

What type of number is the following? (2 points) QuickTimeª and adecompressor TIFF are (Uncompressed) needed to see this picture.

A B C D

an irrational number a rational number a whole number an integer

4)

What type of number is the following? (2 points) QuickTimeª TIFF (Uncompressed) are needed toand seeathisdecompressor picture.

A B C D 5)

Which set includes ONLY irrational numbers? (2 points) A B C D

6)

7)

{-0.4, √25, ¾} {21, 0.5656565656…, √121} {4.2497…, , √3, π } {18/31, 2.5, √1}

Which set includes ONLY rational numbers? (2 points) A

QuickTimeª and a TIFF (Uncompressed) decompressor are needed to see this picture.

B

QuickTimeª and a TIFF (Uncompressed) decompressor are needed to see this picture.

C

QuickTimeª and a TIFF (Uncompressed) decompressor are needed to see this picture.

D

QuickTimeª and a TIFF (Uncompressed) decompressor are needed to see this picture.

Which of the following groups listed below are subsets of the Irrational Numbers? (2 points) I. Real Numbers II. Natural Numbers III. Integers IV. Rational Numbers V. A B C D

8)

an irrational number a rational number a whole number an integer

Whole Numbers III only None of the subsets listed are subsets of the Irrational Numbers. II, III, IV, and V only All of the subsets listed are subsets of the Irrational Numbers.

The numbers below belong to which of the following subsets of the real number system? {5, 6, 18, 25, 30, 39, 50} (2 points) I. Irrational Numbers II. Integers III. Whole Numbers IV. Natural Numbers V. A B C D

Rational Numbers III and IV only II only II, III, and IV only II, III, IV, and V only

9)

The numbers below belong to which of the following subsets of the real number system? {-23/8, -15/8, -1, -3/8, 1/2, 1, 11/8} (2 points) I. Whole Numbers II. Irrational Numbers III. Rational Numbers IV. Integers A B C D

10 )

V. Natural Numbers II only II and III only III only II, III and V only

The numbers shown below belong to which of the following subsets of the real numbers? {0, 9, 14, 17, 24, 36, 37} (2points) I. Rational Numbers II. Whole Numbers III. Natural Numbers IV. Irrational Numbers A B C D

V. Integers II only II, III, and V only I, II, and V only I, II, III, and V only

S1C1-02

Score Key – Total Points 20-18 = Exceeds

17-16 = Meets

15-13 = Approaches

<13 = Falls Far Below

Match the vocabulary terms to the appropriate number set. Write the letter in the corresponding box. Each response will be used only once. (5 points) 16)

Integers

(1 point)

A) {√2, √16, √81, π }

17)

Irrational

(1 point)

B) {π , √8, 7.35268503…, √8}

18)

Natural

(1 point)

C) {1/2, ¾, 4.56, 5, -7, 0, 6.878787, √81}

19)

Rational

(1 point)

D) {…-3, -2, -1, 0, 1, 2, 3…}

20)

Whole

(1 point)

E) {0, 1, 2, 3…} F) {1, 2, 3…}

S1C1-02

Score Key – Total Points 5 = Exceeds

Standard:

4 = Meets

3 = Approaches

<3 = Falls Far Below

S1C3 USE ESTIMATION STRATEGIES REASONABLY AND FLUENTLY WHILE

INTEGRATING CONTENT FROM EACH OF THE OTHER STRANDS. M08-S1C3-02. Estimate the location of rational and common irrational numbers on a number line.

Objective:

DIRECTIONS: Select one of the choices provided and write it on the line next to the corresponding number. You MUST show work for credit. (20 points) 1)

QuickTimeª and a TIFF (Uncompressed) decompressor are needed to see this picture.

(2 points) A B C D 2)

At what position on the number line is the red dot located? (2 points) QuickTimeª and a TIFF (Uncompressed) decompressor are needed to see this picture.

(2 points) W X Y Z 3)

At what position on the number line is the dot located? (2 points)

A B C D

√7 √12 √18 √6

4)

At what position on the number line is the dot located? (2 points)

A B C D 5)

√29 √49 √78 √39

At what position on the number line is the dot located? (2 points)

A B C D

√14 √1 √11 √7

S1C1-02

Score Key – Total Points 5 = Exceeds

4 = Meets

3 = Approaches

<3 = Falls Far Below

Match the dots on the number line with the appropriate location by indicating the appropriate letter in the corresponding box. Each response will be used only once. (1 point each / 5 points) 6)

A) √2

F) √35

7)

B) √3

G) √28

8)

C) √11

H) √22

9)

D) √37

I) √17

10 )

E) √47

J) √15

S1C1-02

Score Key – Total Points 5 = Exceeds

4 = Meets

3 = Approaches

<3 = Falls Far Below

ASSESSMENT SCORE OVERALL 40-36 = Exceeds

35-32= Meets

31-26 = Approaches

<26 = Falls Far Below