Mathematics

Stuart needs to run by the store on his way to school. He begins at home, which on a coordinate plane is represented by the point (0,4). He walks to the store, which is the equivalent of walking 2 units right and 4 units down. After grabbing something to eat for lunch, he walks 3 units to the left and 5 units up to school. What point represents the school?

(-1, 5)

Matthias, a fourth-grader, wants to find 20% of 70, using mental math. Which of the following numbers is best for Matthias to use to multiply by 70 to find the correct answer?

0.2

Which of these has the greatest value?

0.435

Tia participates in marching band before school and plays volleyball after school. She arrived at school at 6:52am today and did not leave until 5:34pm. How many hours and minutes did she spend on the school campus?

10 hours 42 minutes

Julie brings and eats one-third of a sandwich every day for lunch. If she made 11 sandwiches this month, how many lunches did she bring? Which of the following expressions would be a correct computation for the answer to the problem above?

11÷1/3

Values of the linear function f are listed in the table. What is the value of f(85)?x f(x) 30 - 5 45 - 8 60 - 11 85

16

A class is learning about proportions and ratios, so the teacher decides to use the data about students in the local high school. There are 500-600 students and 29 - 32% of the student body participates in athletics. Which of the following is the most reasonable estimate of the number of students who are considered athletes?

175

Students are measuring various objects around the classroom. A pencil measures 8 ⅜ inches while a pair of scissors measures 5 ½ inches. How much longer is the pencil than the pair of scissors?

2 ⅞ inches

Which of the following is a correct factor tree for the prime factorization of the given number?

27 _____ 3 * 9 ^ 3 * 3

If 156,000 people attended throughout the week, where should the bar for Saturday end?

35

What is the perimeter of a square with an area of 81 cm2

36 cm

A teacher writes the problem shown below on the board for a warm-up. 7x + 4 - 3x + 2 = 127x+4−3x+2=12 She asks students to combine like terms as the first step in solving the problem. Which equation demonstrates an understanding of the first step?

4x+6=12

What is the mode of the data set? 22 23 30 38 45 46 48 55 55 60 61 63 67 70 77 80 93 95 97 99 100

55

A classroom is 7.5 meters wide. How many centimeters wide is the room?

750 cm

Shep has the numbers 1 through 8 to arrange in the largest possible number with each numeral only being used once. The 8 must be in the ten-thousands place. What number did he create?

76,584,321

Student groups are given a six-sided die, with each side labeled a number 1 through 6. Each student group rolls the die 75 times and records the number that is rolled. If there are 8 groups of students participating in this activity, which of the following is most likely the total number of times a 4 was rolled?

98

The 4th-grade students are going on a field trip to the science museum. There are 4 classes with 23 students and 3 adults in each class. They will take 5 buses with an equal number of people on each bus. How many people will be on each bus? Which of the following statements about the solution must be true?

Because of the real-world context, the solution must belong to all the set of all natural numbers. Therefore the solution is unacceptable.

Which culture is credited with developing the use of negative numbers?

Chinese

Mr. James plans to assess his students' knowledge during a unit on linear functions and would like feedback from the students on how well they feel they are learning the concepts. Which of the following assessment would be the most appropriate for Mr. James to use during the unit?

Daily open-ended formative assessment in which the students complete a problem, with justification and any questions they still have about the material from that day.

Which of the following activities would best allow a teacher to demonstrate an appreciation for cultural diversity in a math class?

Discuss the average wage and cost of living for cities around the world.

A teacher has presented adding fractions to her class and they have used manipulatives to gain a basic understanding. What is the next step in the learning process?

Give the students fraction addition problems using numbers instead of manipulatives.

Mrs. Spisak's goal in this lesson is to have her students use calculators to develop financial literacy. Which of the following activities best addresses this goal?

Have students calculate sales tax and discounts on grocery store items.

The table shown gives the number of cookies sold by each person at a bake sale. Who has not sold ⅓ of their cookies? Name Number of cookies baked Number of cookies sold Margo 27 9 Kirby 18 6 Hazel 32 8 Fitz 21 7

Hazel

Many students reach an incorrect answer when multiplying two-digit numbers, as shown in the work here. Which of the following is mostly likely the error made by students?

The 20 composed from the multiplication of 3 ones and 7 ones was not carried and therefore caused the error in the final answer.

This equation demonstrates which of the following properties? (4 × 7) × 8 = 4 × (7 × 8)(4×7)×8=4×(7×8)

The associative property of multiplication

The student is expected to determine the value of a collection of coins and bills. Which of the following is an example of a clear learning goal for the Texas Essential Knowledge and Skills (TEKS) skill stated above?

The learner will understand and explain the total amount of money they have when given money manipulatives.

Ginny and Carter are learning about probability and their teacher hands them a bag with 18 red marbles and 10 green marbles. Ginny draws 2 red marbles and keeps them on her desk. Carter wants to draw green marbles on his turn. How did the probability of drawing a green marble change from when Ginny drew her marbles to when Carter will draw?

The probability of drawing a green marble increased.

Students in Mrs. Wilson's class have mastered multiplication and have been introduced to division. Mrs. Wilson gave a test over introductory concepts in division and found that a number of students struggled. Which of the following strategies is best to help improve the students' understanding of division?

Use manipulatives to model division and connect it to multiplication.

Which of the following principles is demonstrated by the figures below?

When the denominator stays the same and the numerator decreases, the fractional value decreases.

In which of the following situations is estimation least appropriate?

a mother giving medication to her child with a cough

During the week, the teacher has students use a ruler to measure various objects. They begin with measuring straight lines and then move on to shapes and 3-D figures. At the end of the week, students are asked to research careers in which the mathematical ideas explored during the week could be used. Which of the following scenarios best demonstrates how the math concept explored in class is applied to a career context?

an architect drawing plans for a new house

Mrs. Wilhelm is teaching a lesson on surface area. Every time a student raises their hand to answer, Mrs. Wilhelm addresses them by name and says that she appreciates how they participate in class. She also offers small candies for challenge questions. Which learning theory best matches Mrs. Wilhelm's teaching method?

behaviorism learning theory

After completing a unit on graphing data, students are given the following table and asked what type of graph is most appropriate for displaying this data. What should they use? Preferred Flavor of Ice Cream Number of Students None 6 Chocolate 184 Vanilla 109 Mint Chocolate Chip 88 Other 152

circle graph

Students are separating costs of running a concession stand into expenses that depend on sales volume and those that do not. What concept does the teacher want students to understand through this activity?

fixed and variable expenses

After reviewing a student's math assessment, the student's teacher has determined that the student is not following the order of operations when solving problems. Which of the following is the most appropriate remedial intervention?

mnemonic device

Miss Osborn gives her class graph paper with the x and y axes labeled. She asks the students to draw a three-sided shape of their choice in one quadrant on the x-y plane. She then asks students to change the sign of each x value and regraph the shape. Which of the following concepts is Miss Osborn working on with her students?

reflection

A student-athlete can run 10 yards in 6 seconds. Which equation shows the number of yards that can be run in s seconds?

s/0.6

Which of the following equations is in point-slope form?

y - y1 = m(x - x1)