Which of the Following Are Equivalent to X-5/4 ?

Which of the following are equivalent to X-5/4 ?

(a)  X5/4

(b)  1X4/5

(c)  15x4

(d)  14x5

(e)  1X5/4

(f)  1X1/54

Claim 1 TA Task 1 SR DOK 1

Determine if the following sums are rational or irrational.

(1)  12+2 Rational or Irrational

(2)  38+34 Rational or Irrational

(3)  41/2+81/3 Rational or Irrational

(4)  48+416 Rational or Irrational

Claim 1 TB Task 2 SR DOK 1 Prompt 1

Which of the following will make the equation 12+∎=34 a true statement?

(a)  22

(b)  28

(c)  12

(d)  116

(e)  4-1/2

(f)  24

HS C1 TB 2(SR) DOK1

Which of the following addends makes the equation true? 34+∎=6+82

(a)  44

(b)  22

(c)  128

(d)  232

Claim 1 TB Task 2 (SR) DOK1

Identify the flawed step(s) or expression in the following example

8+28-2

64-82+82-22 Step 1

64-4 Step 2

60 Step 3

If you wanted to make it constructed response, have the student correct the example after identifying the step with the error.

N-RN.2 2.SR (DOK1,2)

Identify which of the following statements is NOT correct.

o  2x2=2x2x

o  14=2-2

o  64x16=8x4

o  38x3=2x

N-RN.2 2.SR DOK1,2

A teacher asked his students to give an example of a multiplication sentence with a product of 23.

Write a possible multiplication sentence below.

Explain using numbers and words, why this is correct.

N-RN.3 1CR (DOK2)

A teacher asked her students to give an example of an addition sentence with a sum of -3/8

Write a possible addition sentence below.

Explain, using number and words, why this is correct.

N-RN.3 1CR (DOK2)

SCORING RUBRIC:

Responses to this item will receive 0-2 points, based on the following:

2 points: Student correctly writes an addition sentence with the given sum. The student also provides thorough explanation and reasoning for his/her answer.

1 point: Student has a partial understanding of how to write an addition sentence with the given sum and how to explain reasoning for the math sentence he/she created.

0 points: Student has little or no understanding of how to create an addition sentence with the given sum, and he/she is unable to provide rationale.

A teacher asked their student to simplify the following radical expression with rational exponents: x+3x

Student A responded: x+3x

x1/2+x1/3

x3/6+x2/6=x5/6

Student B responded: x+3x= x1/2+x1/3

Which student is correct? Explain the mistake of the student that was incorrect.

2.CR (DOK2)

Answer B - Want students to recognize no property of addition with adding exponents (it’s multiplication)

Prompt Feature 1:

a)  If x is a rational number and y is an irrational number, explain what type of number results from the sum of x and y. Justify your answer.

Answer: irrational

b)  Let a and b be rational numbers. Explain what type of number results from a + b. Justify your answer.

Answer: rational

Prompt Feature 2:

a)  Let x be a nonzero rational number and y an irrational number. Explain what type of number results from the product of x and y. Justify your answer.

Answer: irrational

C1 TB 4.CR (DOK2)

HS Sample Items

Ex1) Determine which of the following expressions are equivalent toxx1/3x-1/2.

a)  x1/2x1/3x-1/2 Yes No

b)  x1/3 Yes No

c)  x3xx Yes No

d)  3x Yes No

Ex2) Which of the following equations are true?

a)  2=21/2 Yes No

b)  x1/4=x-4 Yes No

c)  x3/4=4x3 Yes No

d)  138=12 Yes No

Ex3) Determine which of the following expressions are equivalent to 23+427.

a)  630 Yes No

b)  143 Yes No

c)  23+227 Yes No

d)  23+123 Yes No

e)  146 Yes No

C1 TA 1.SR (DOK1)

Given a square plot of land with an area of 81 sq.ft., how many feet of fencing are along each side?

CO TA Std N-RN.2 CR DOK1

Your farm land has a circular pond on it that is 500 ft across. A dock has been built to access the pond for fishing . The dock is 30ft long and 230 feet wide. For safety reasons, a fence must be placed around the part of the pond not covered by the dock. Draw a diagram of the pond with the dock and fence (fence needs to be right around the circumference of the pond even though it does not look like it in this picture). Find the amount of fencing that will be needed to secure the pond.

Amount of Fencing 2πr-230=2π250-230

C1 TA Std N-RN.2 CR-DOK2

Joni has a new circular shaped table that is 4 feet in diameter. She wants a rug that is at least 18 inches wider all around.

(A)  Sketch & label the table on the rug showing measurements for each and determine the radius of the rug.

Radius of the rug is 2 ft + 1.5 ft, therefore r = 3.5 ft

C1 TC 1.CR DOK1 Prompt 1

(B)  What Area would the rug cover? Round to tenth

A0=πr2

A0=π3.52

A0=38.5 ft2

C1 TC 1.CR DOK2

The volume of a sphere is calculated by V0=43πr3

If the radius is 10 inches, what is the resulting volume to the nearest whole unit?

Answer: V= 1333π in3 ≈ 4187 in3

C1 TC 1.CR DOK1 Prompt 2

Calculate the volume of the sphere to the nearest whole unit.

d=12 ft

Answer: V= 904 ft3

C1 TC 1.CR DOK2

Select all widths that make the area of a rectangle correct.

A= L x W

= 6ft x W

= 42 sq ft

a.  2 1/3 yards

b.  7in

c.  7ft

d.  84in

e.  84ft

C1 TC SR Prompt 1

The graph above represents the relationship between temperature measured in degree Fahrenheit and temperature measured in degree Celsius. Based on the graph, which of the following statements are true? Select all that apply.

a)  When centigrade temp is 30, the F temp is 86.

b)  When centigrade temp is 86, the F temp is 30.

c)  When the C temp increases 5, the F increases 9.

d)  Etc…