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ABCDEFGHIJKLMNOPQRSTUVWXYZAAAB
1
StrandTopicURLVerbProductionInstancesPrompt
2
Numbers and Operation
Converting decimals to fractions 2
ExpressA number5
"Express 0.0484 as a fraction." Too easily pattern-matched. Every fraction is a ten thousandth.
3
Numbers and Operation
Writing fractions as repeating decimals
Calculate
Multiple choice response
4
"Express the rational number â€‹27 â€‹ â€‹19 â€‹â€‹ as a terminating decimal or a decimal that eventually repeats. If necessary, include 6 digits to the right of the decimal point in your answer. Do not round. If this is a repeating decimal, enter in the part that repeats. If this is a terminating decimal, enter 0. (For example, for 1. â€‹031 â€‹â€‹ you would enter 031, and for 1.57 you would enter 0.)" Really, really confusing inputs. At least it shows negative (non-repeating) cases.
4
Numbers and Operation
Writing fractions as repeating decimals
Analyze
Multiple choice response
1
5
Numbers and Operation
Converting 1-digit repeating decimals to fractions
RewriteA number5
"Rewrite as a simplified fraction."
6
Numbers and Operation
Converting multi-digit repeating decimals to fractions
RewriteA number5
"Rewrite as a simplified fraction."
7
Numbers and Operation
Recognizing rational and irrational numbers
Analyze
Multiple choice response
5
"Indicate whether each number is rational or irrational." Selection options for "rational" and "irrational."
8
Numbers and Operation
Approximating irrational numbers
CalculateAn ordering1
"Without using a calculator, put the numbers in order from least to greatest."
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Numbers and Operation
Approximating irrational numbers
CalculateA number2
"sqrt(pi/2) is between which two consecutive integers."
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Numbers and Operation
Approximating irrational numbers
Estimate
Multiple choice response
2
"On the number line below, which point more closely represents sqrt(51)?" Two points given.
11
Numbers and Operation
Positive and zero exponents with positive and negative bases
CalculateA number5 "395^0 = "
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Numbers and Operation
Positive and negative exponents
CalculateA number5 "(9/7)^(-1) = "
13
Numbers and Operation
Using exponent rules to evaluate expressions
RewriteA number5
"Rewrite ((7 â€‹âˆ’8 â€‹â€‹ )(3 â€‹9 â€‹â€‹ )) â€‹âˆ’8 â€‹â€‹ in the form 7 â€‹n â€‹â€‹ Ã—3 â€‹m â€‹â€‹ ."
14
Numbers and Operation
Properties of exponents
Analyze
Multiple choice response
4
"Select all that apply." This one is very interesting. Challenging in a non-routine way.
15
Numbers and Operation
Properties of exponents
CalculateA number1
"Write [exponent expression] in the form of [simplifiied exponent expression]."
16
Numbers and Operation
Square roots of perfect squares
CalculateA number5 "Sqrt(16) = "
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Numbers and Operation
Cube roots
CalculateA number5 "27^(1/3) = "
18
Numbers and Operation
Orders of Magnitude
CalculateA number1
"3Ã—10^9 is 30,000 times as large as what number?" Very strange assessment IMO.
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Numbers and Operation
Orders of Magnitude
CalculateA number1
"Estimate the distance between Earth and the sun by writing it in the form of xâ‹…10^y miles, where x and y are single-digit numbers." There is a single, correct, calculated answer.
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Numbers and Operation
Orders of Magnitude
CalculateA number2
"How many times as large is [sci notation] than [sci notation]?" These questions are bothering me.
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Numbers and Operation
Orders of Magnitude
CalculateA number1
"4Ã—10^5 is 200 times as large as what number?"
22
Numbers and Operation
Scientific notation intuition
ExpressAn ordering5
"Express the top number in scientific notation by dragging the decimal in the bottom number:" You drag the decimal point just before the last digit (for numbers > 1) and after the first digit (for numbers < 1). This definition of "scientific notation" conflicts with the last. Here three digits follow the decimal point. Earlier, there were no digits after the decimal point. This sets you up poorly for the next section where you have to write the notation from scratch.
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Numbers and Operation
Scientific notation intuition
ExpressA number5
"Express a number in scientific notation." Turn scientific notation into standard notation and vice versa. Three digit convention used.
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Numbers and Operation
Multiplying and dividing scientific notation
ExpressA number5
"Express this product in scientific notation: (3.50Ã—10 â€‹4 â€‹â€‹ )Ã—(2.00Ã—10 â€‹3 â€‹â€‹ )." Two digit scientific notation convention here.
25
Numbers and Operation
Computing in scientific notation
CalculateA number3
"What is the density of the Earth in kilograms per cubic meter? Write your answer in scientific notation, and round to two decimal places"
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Solving Equations
Equations with variables on both sides
SolveA number5
"Solve for x: 3x+5=5x+9"
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Solving Equations
Multi-step equations with distribution
SolveA number3
"Solve for p: â€‹3 â€‹ â€‹28 â€‹â€‹ +p= â€‹3 â€‹ â€‹p â€‹â€‹ âˆ’ â€‹3 â€‹ â€‹1 â€‹â€‹ (10pâˆ’4)"
28
Solving Equations
Linear equations with one, zero, or infinite solutions
Construct
Multiple choice response
2
"Which of the following values of a will result in a linear equation with no solutions?"
29
Solving Equations
Linear equations with one, zero, or infinite solutions
Analyze
Multiple choice response
3
"How many solutions does this equation have?"
30
Solving Equations
Equation practice: summing integers
CalculateA number3
"What is the fifth number in this sequence?"
31
Solving Equations
Age word problems
CalculateA number3
"How old is William?"
32
Relationships and Functions
Rates and proportional relationships
Analyze
Multiple choice response
5
"Which storeâ€™s sale is better?"
33
Relationships and Functions
Graphing proportional relationships
CalculateA number4
"What is Igor's unit rate of change of dollars with respect to time; that is, how much is he paid for one hour worked?"
34
Relationships and Functions
Graphing proportional relationships
ConstructA line5
"Graph the proportional relationship described above, with the x-coordinate representing hours worked, and the y-coordinate representing amount paid in dollars." Graph the line that reflects the slope.
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Relationships and Functions
Graphing proportional relationships
Analyze
Multiple choice response
1
"Which of the following statements are true?"
36
Relationships and Functions
Solving for the x-intercept
CalculateA number5
"What is the x-intercept?"
37
Relationships and Functions
Solving for the y-intercept
CalculateA number5
"What is the value of the y-intercept b?"
38
Relationships and Functions
Linear function intercepts
CalculateCoordinate(s)5
"Determine its y-intercept."
39
Relationships and Functions
Interpreting and finding intercepts of linear functions
CalculateA number3
"How many feet thick was the sheet of ice when it began to melt?"
40
Relationships and Functions
Identifying slope of a line
Analyze
Multiple choice response
3
"Which graph best depicts a slope of 1/5?"
41
Relationships and Functions
Identifying slope of a line
CalculateA number2
"What is the slope of the line through the points?"
42
Relationships and Functions
Line graph intuition
ConstructA line4
"Graph a line that has an undefined slope:" Best.
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Relationships and Functions
Line graph intuition
ConstructAn equation1
"Adjust the slope and y-intercept until it connects the two points. How do the slope and y-intercept values affect the line?"
44
Relationships and Functions
Graphing linear equations
ConstructA line5
"Graph the following equation: y=5xâˆ’8"
45
Relationships and Functions
Slope and triangle similarity
Analyze
Multiple choice response
3
"Which of the triangles shown below are similar to Î”ABC"
46
Relationships and Functions
Slope and triangle similarity
Analyze
Multiple choice response
2
"Use the graph shown below to decide which of the following equations are true."
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Relationships and Functions
Understanding function notation
CalculateA number3
"Find the value of h(2)."
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Relationships and Functions
Understanding function notation
AnalyzeA number2
"Find the value of f(4)." Given graph of function.
49
Relationships and Functions
Views of a function
ConstructA table3
"Create a table with at least five different points in it created from the function. Enter the values in the table as decimals."
50
Relationships and Functions
Views of a function
ConstructCoordinate(s)1
"Graph the function that is defined by the table below."
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Relationships and Functions
Recognizing a function
Analyze
Multiple choice response
5
"Is A a function of R?" Yes or no.
52
Relationships and Functions
Recognizing a function 2
Analyze
Multiple choice response
5
"Which of these statements about the relation in the graph below are true?"
53
Relationships and Functions
Ordered pair solutions to linear equations
Calculate
Multiple choice response
3
"Which of the following ordered pairs represents a solution to the equation below?"
54
Relationships and Functions
Ordered pair solutions to linear equations
Analyze
Multiple choice response
2
"Which of the following ordered pairs represents a solution to the equation below? y=3xâˆ’2"
55
Relationships and Functions
Comparing linear functions
Analyze
Multiple choice response
5
"Two linear functions, f and g, are described below. The graph of which function has a greater y-intercept?"
56
Relationships and Functions
Interpreting linear functions
Analyze
Multiple choice response
5
"Which of these statements are true?"
57
Relationships and Functions
Comparing linear functions applications
Analyze
Multiple choice response
5
"Which of these statements are true?"
58
Relationships and Functions
Constructing and interpreting linear functions
Analyze
Multiple choice response
1
"Rachel is driving her truck from Boston to Chicago. Rachel drives 15 kilometers every 10 minutes. The relationship between the amount of time Rachel drives and the remaining distance to get to Chicago has a constant rate of change. Which statement is correct?"
59
Relationships and Functions
Constructing and interpreting linear functions
Construct
Multiple choice response
2
"Archimedes is draining his bathtub. Every 2 minutes, 7 gallons of water are drained. Which equation could represent the number of gallons of water in the tub (W) as a function of the elapsed time in minutes (T)?"
60
Relationships and Functions
Constructing and interpreting linear functions
ConstructA line2
"Ron borrowed \$200 from his friend and promised to pay back \$20 each week. Let x represent the time in weeks, and let y represent the amount of money left to pay. Graph y as a function of x."
61
Relationships and Functions
Linear and nonlinear functions
Analyze
Multiple choice response
5
"Does the equation âˆš â€‹x â€‹ â€‹â€‹ +y=3 define y as a linear function of x?"
62
Relationships and Functions
Interpreting graphs of linear and nonlinear functions
Analyze
Multiple choice response
4
"Complete the following sentences based on the graph of the function."
63
Relationships and Functions
Interpreting graphs of linear and nonlinear functions
AnalyzeA number1
"David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P), depends on the time the bike was out, (t). The price consists of a base charge of \$8 and a variable hourly cost. The graph of the function is shown below. Complete the following sentences below based on the graph of the function."
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Systems of Equations
Graphing systems of equations
ConstructA line3
"Graph this system of equations and solve. 8xâˆ’2y=âˆ’10 âˆ’4xâˆ’y=3"
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Systems of Equations
Graphing systems of equations
AnalyzeCoordinate(s)3
"Graph this system of equations and solve. 8xâˆ’2y=âˆ’10 âˆ’4xâˆ’y=3"
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Systems of Equations
Systems of equations with simple elimination
SolveCoordinate(s)3
"Solve for x and y using elimination. âˆ’2xâˆ’6y=âˆ’44 2x+5y=38"
67
Systems of Equations
Systems of equations with elimination
SolveCoordinate(s)3
"Solve for x and y using elimination. 2xâˆ’4y=âˆ’16 âˆ’3xâˆ’3y=âˆ’30"
68
Systems of Equations
Systems of equations with substitution
SolveCoordinate(s)3
"Solve for x and y using substitution. 5xâˆ’6y=3 y=âˆ’x+5"
69
Systems of Equations
Systems of equations
SolveCoordinate(s)3
"Solve for x and y. âˆ’xâˆ’2y4x+5y=3=âˆ’9"
70
Systems of Equations
Systems of equations word problems
SolveCoordinate(s)3
"The sum of two numbers is 73, and their difference is 15. What are the two numbers?"
71
Systems of Equations
Graphing systems with one, zero, or infinite solutions
ConstructA line1
"On the graph below, use the two points to draw a line through the point (0,2) that will create a system of equations with infinitely many solutions."
72
Systems of Equations
Graphing systems with one, zero, or infinite solutions
Analyze
Multiple choice response
4
"How many solutions does the system of linear equations represented in the graph below have?"
73
Systems of Equations
Systems with one, zero, or infinite solutions
Analyze
Multiple choice response
5
"Determine how many solutions exist for the system of equations"
74
Systems of Equations
Constructing consistent and inconsistent systems
ConstructAn equation2
"Which of the following choices of c will result in a system of linear equations with no solutions? âˆ’2xâˆ’7yâˆ’6xâˆ’21y=3=c"
75
Systems of Equations
Constructing consistent and inconsistent systems
Analyze
Multiple choice response
3
"Which of the following choices of a will result in a system of linear equations with no solutions?"
76
Systems of Equations
Understanding systems of equations word problems
Analyze
Multiple choice response
5
"Can we solve for a unique cost for each soldier?"
77
SolveA number3 "Find AC."
78
GeometryEquation practice with midpoints
SolveA number3 "Find AC."
79
GeometryEquation practice with vertical angles
SolveA number3
"Solve for x: x="
80
GeometryCongruent angles
Analyze
Multiple choice response
5
"Which angles must be congruent to the given angle?"
81
GeometryParallel lines 1
CalculateA number5
"What is the measure of angle x?"
82
GeometryEquation practice with congruent angles
SolveA number5
"Below are two parallel lines with a third line intersecting them. âˆ Aâˆ B==8x+78âˆ˜2x+144âˆ˜ Solve for x:"
83
SolveA number5 "Find mâˆ RPS"
84
GeometryFinding angle measures 1
SolveA number5
"What is mâˆ BGE?"
85
GeometryFinding angle measures 2
CalculateA number5
"What is âˆ AJF?"
86
GeometryPythagorean theorem
CalculateA number5 "What is AB?"
87
GeometryPythagorean theorem word problems
CalculateA number3
"A flagpole broke in a storm. It was originally 81 feet tall. 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. How far away is the end of the pole from the base of the pole along the ground?"
88
GeometryPythagorean theorem in 3D
CalculateA number3
"The regular tetrahedron shown below has sides of length 10cm. The vertical height h=8.2cm. What is the length of r? Round your answer to the nearest tenth."
89
GeometryDistance formula
CalculateA number3
"Find the distance between the points (âˆ’1,8) and (0,âˆ’4)."
90
GeometryPythagorean Theorem proofs
Argue
A two-column proof
2
"The figure below shows a smaller purple square inside a larger red square. Using this figure, we give the first 2 steps in a proof of the Pythagorean Theorem. Arrange the remaining steps of the proof and the reasons for the steps in the correct order."
91
GeometryPythagorean Theorem proofs
Argue
Multiple choice response
1
"The following figure is used in President James Garfield's proof of the Pythagorean Theorem. Which of the following reasons explains why the white triangle is a right triangle?"
92
GeometrySpecial right triangles
CalculateA number5
"How long is AB?"
93
GeometrySolid geometry
CalculateA number5
"What is the surface area?"
94
Geometry
Volume word problems with cones, cylinders, and spheres
CalculateA number3
"A cone has a height of 20 cm and a radius of 4 cm. The top 15 cm are cut off leaving a "truncated cone" (shown in red below). What is the volume of the truncated cone?"
95
GeometryTranslations of polygons
ConstructA polygon2
"What is the image of the polygon?"
96
GeometryTranslations of polygons
Construct
A transformation
3
"What was the translation applied?"
97
GeometryRotation of polygons
AnalyzeA number4
"What is the transformation that rotates the blue solid shape to the orange dashed shape?"
98
GeometryRotation of polygons
ConstructA polygon1
"What is the image of the polygon below after the rotation T90?"
99
GeometryProperties of rigid transformations