Education Assignment 1B: Question Analysis for Math

KeVaughna Patrick

Assignment 1B: Question Analysis for Math

1. Town C is 2 miles east of Town A and 2 miles south of Town B, as in the figure above. Which of the following is the best estimate of the shortest distance from Town A to Town B?

A. 2 miles

B. 2.8 miles

C. 3.4 miles

D. 4 miles

I think the competency is geometry because it is showing a triangle and I need to find the lengths of one of the sides.

My answer is B because using Pythagorean theorem I got . I had to apply a geometric equation to solve the problem and that’s why I think the competency is geometry.

The correct competency was Measure – I believe that is because I was finding distance

2. Indicate whether the following numbers are rational or irrational by checking the appropriate boxes.

Number	Rational	Irrational
		check
	check
		check
		check

I think the competency is numbers

My answer are where I placed the word check because that’s why I think the competency is numbers

The correct competency was Number Systems but I was close

3. Let be the equation of line in the xy-plane. Which of the following is perpendicular to?

A.

B.

C.

D.

I think the competency is Linear Equations

My answer is C because is the original equation and to find something perpendicular you need to have the reciprocal of the slope which would be which turns in to and then

that’s why I think the competency is linear equations

The correct answer was B because its the opposite reciprocal which is slope which turns into

The correct competency was Geometry I believe this was because we used the word perpendicular and that specifically means a 90 degree angle

4. Students in a mathematics class are using graphing calculators to find the maximum and minimum values of the graph of on the domain . One student reports to the teacher that the calculator is only displaying a straight line. The teacher verifies that the equation has been entered correctly and that the graphing window is correct. Which of the following is the best suggestion for the student in order to see the periodic behavior of the graph of the function over the domain?

A. Use the Zoom-In function

B. Check if the calculator is in degree mode or in radian mode

C. Check if the calculator is in function mode or in polar mode

D. Check if a StatPlot is on

I think the competency is Graphing functions

My answer is B because we are dealing with radians and not degress.

that’s why I think the competency is Graphing because we are trying to graph the function

The correct competency was the Communication of Mathematics because the teacher needed to explain to the student that we are in a radian domain because the domain uses pi.

5. Use the functions below to answer the question that follows.

How is the graph of h in the xy-plane related to the graph of g ?

A. The graph of h is the graph of g shifted 4 units to the right.

B. The graph of h is the graph of g shifted 4 units to the left.

C. The graph of h is the graph of g shifted 4 units upward.

D. The graph of h is the graph of g shifted 4 units downward.

I think the competency is Graphing translation and transformation

My answer is C because 5 and 9 effect the c value or a quadratic equation and that deals with the y axis, 9 is 4 more than 5 and the graph should move up 4.

that’s why I think the competency is Graphing translation and transformation

The correct competency was Nonlinear Functions because we are dealing with quadratic functions.

6. A teacher provides students with a square sheet of paper for an in-class activity. The teacher asks the students to fold the paper in half, unfold the paper, and color one of the sections created by the fold, and determine what fraction of the paper they colored. The students then refold the paper on the same fold and fold it in half once more. Before unfolding the paper, the teacher asks the class how many sections the paper now has, and how many of those sections will be colored. Which skill is the teacher introducing to the students with the activity?

A. Modeling fractional quantities greater than 1 using concrete objects and pictorial models

B. Estimating measurements, including circumference, and evaluating reasonableness of results

C. Using concrete objects and pictorial models to generate equivalent fractions

D. Using models to relate decimals to fractions that name tenths, hundredths and thousandths

I think the competency is Measurement.

My answer is C because the fractional equivalent will be ½ no matter the amount of folds. That’s why I think the competency is measurement

The correct competency was Planning for instruction. I believe this is the correct competency because the teacher had to plan to use the manipulatives to in their lesson plan to help students understand the concept.

7. Tammy is applying for a loan to purchase her first home. Her annual salary is $58,356.00, but the loan officer is asking for her monthly gross income and her monthly net income. If 15 percent of her total income is paid in taxes each month, what are her monthly gross income and her monthly net income? (Gross income is income before taxes. Net income is income after taxes).

A. Her monthly gross income is $729.45, and her monthly net income is $4863.00.

B. Her monthly gross income is $4863.00, and her monthly net income is $729.45.

C. Her monthly gross income is $4863.00, and her monthly net income is $4133.55.

D. Her monthly gross income is $4133.55, and her monthly net income is $4863.00.

I think the competency is Reasoning and Problem Solving.

My answer is C because 58,356/12 is 4,863. And the person is left with 85 percent of that every month for net income 4,863*0.85 is 4,133. That’s why I think the competency is Reasoning and Problem-Solving.

The correct competency was the Communication of Mathematics. I believe this is right because we are applying math to calculating income for a loan which is related to math but also a real life concept.

8. Jennifer is a delivery person for a flower shop. Using the map above, how many different routes are there for Jennifer to choose from if she travels from the flower shop to the hotel, then to the hospital, then to the restaurant, and then back to the flower shop?

A. 6

B. 10

C. 18

D. 36

I think the competency is Number Systems

My answer is D because a tree diagram can be shown to represent the available routes the delivery person can travel. That’s why I think the competency is Number Systems

The correct competency/answer was the Application of Number Theory. I believe this is because we were applying numbers to a problem that was not about mathematics.

9. Each face of a number cube is numbered 1, 2, 3, 4, 5 or 6. When the cube is tossed, each number is equally likely to appear face up. The number cube is tossed twice, and the numbers that land face up are recorded. What is the probability that the sum of the two recorded numbers is a prime number?

A. 1/2

B. 8/21

C. 5/36

D. 15/36

I think the competency is Probability.

My answer is D because writing out the possible combinations and counting the prime numbers out of the total combinations is how I would solve the problem. That’s why I think the competency is Probability.

10. The table shows five college graduates and the annual salaries they earned during their first year in the workforce. Based on the data given in the table, which of the following statements is true?

Use the table below to answer the question that follows. College Graduate	Annual Salary
A	$36,000
B	$35,250
C	$71,555
D	$34,750
E	$35,575

A. The mean is less than the range of the data.

B. The mean is less than the median of the data.

C. The range is less than the mean of the data.

D. The range is less than the median of the data.

I think the competency is Graphical and Numerical Data Techniques.

My answer is C because the mean is 42,626, the median is 35,575, and the range is 36,805. I hd to know how to what each word meant mathematically and how to calculate it and then compare each value. That’s why I think the competency is Graphical and Numerical Data Techniques.

11. Michael is designing a new home for a customer. The floor of Room B is in the shape of a regular hexagon and will have a perimeter of 72 feet. The floor of Room A is in the shape of a square and will be sharing a wall with Room B as shown. How many square feet of carpet will Michael need to cover the floor of Room A ?

A. 48 square feet

B. 120 square feet

C. 144 square feet

D. 864 square feet

I think the competency is Geometry.

My answer is C because the 72 ft perimeter divided by 6 hexagonal sides is 12. The hexagon and the square share a side and that makes the square side length 12ft, 12*12=144ft squared. I had to understand perimeter and area as a concept and that’s why I think the competency is Geometry.

The correct competency was Two- and Three Dimensional Objects. I believe this is the right competency because this is a composite figure and they were both two-dimensional figures that were being compared.

12. Q Triangle ABC is an obtuse triangle. Which of the following are possible measurements of angles in the triangle ABC ?

Select all that apply.

A.

B.

C.

D.

E.

F.

I think the competency is Geometry

My answer is B, C, D, E and F becau they all add up to 180. I needed to understand that the angles of a triangle add up to 180 degrees and that’s why I think the competency is Geometry.

The correct answers were B and F because they have obtuse angles. I forgot that was a requirement in the question after I started to compute it.

13. Which of the following lines in the xy-plane includes the points in the table shown?

the question that follows. x	y
6	19
9	28
12	37
15	46

A.

B.

C.

D.

I think the competency is Applications of Linear Functions

My answer is C because it fits all of the coordinates in the table. I had to plug in x for each coordinate and make sure the y’s were the same. That’s why I think the competency is Applications of Linear Functions

The correct competency was Mathematical Expressions. This is because I needed to understand the relationships between variables and equations.

14. Jeb pays $18 per night for a campsite every time he takes a trip to Palmetto State Park. Last year he camped 4 nights in Palmetto State Park each month. This year he purchased a state park pass for $70. With his park pass, he receives 50% off 24 nights of camping for the entire year. Let x be the number of nights he will get to camp this year for the amount he spent last year. Which of the following equations could be used to find x ?

A.

B.

C.

D.

I think the competency is Applications of Linear Functions.

My answer is A because 18x represents what he paid with no discount and 0.5 is the discount + 70 is the amount for the pass. Here we are using the function to model a problem. That’s why I think the competency is Applications of Linear Functions.

The correct competency was Mathematical Expressions. I think this is because we needed to identify and understand the relationships between the variables and functions and analyze the information given and what needed to be found.

Patrick 2