TExES CORE Subjects EC-6 (291): Mathematics
Which of the following equations is in point-slope form?
y - y1 = m(x - x1)
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)
Answer the question based on the circle graph below. If there are 300 students in the grade, how many more students prefer chocolate ice cream to vanilla?
54
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
Which number is not natural?
0
Matthias 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
Base ten blocks can be used to represent an algorithm. Which expression best represents an algorithm based on the blocks shown?
100+36
Julie brings and eats 1/3 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
Jamal went to bed at 9:38 pm and woke up at 10:15 am the next morning. How long did Jamal sleep?
12 hr 37 min
In rectangle ABCD shown, the length of BD is 5x+35x+3 and the length of AC is 3x+73x+7. What is the length of AC?
13
A pool empties at a rate of 12 quarts every 2 minutes. How many hours and minutes will it take to completely empty the pool which contains 12,000 gallons? (1 gallon = 4 quarts)
133 hours and 20 minutes
A class is learning about proportions and ratios, so the teacher decides to look at the 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
Whitney is packing for a week-long trip. She fills her suitcase with 5 shirts, 3 pairs of pants, 2 skirts, and 2 dresses. If an outfit consists of 1 shirt and 1 bottom (pant or skirt) or 1 dress, how many different outfits can Whitney create?
27
When simplified, which of the following expressions have equivalent values?
317−3572+36 34-32 x 6 1/3 (55+26)
What is the perimeter of a square with an area of 81 cm2?
36 cm
Students are given a spinner with 5 equal sectors numbered 1-5. They are instructed to spin 50 times and record the number the arrow lands on. If there are 5 groups of students spinning, which of the following is most likely the total number of times the spinner lands in the 3 sector?
48
What is the median of the data set below? 15, 18, 19, 54, 74, 94, 67, 82, 48, 31, 15
48
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
Anthony sold x boxes of popcorn for $6.00 per box for his Cub Scout troop. Which expression will help him determine the amount of money he earned for his troop?
6x
Jim enrolled in a new gym membership this year which required a $50 membership fee and a $70 monthly fee. Jim wrote an equation in the form y=mx+by=mx+b to find the total amount he has spent on his gym membership this year. What is the meaning of the $70 monthly fee in his equation?
70 is the slope of the line
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
A second-grade class has created a pictograph of what type of shoe each person is wearing. What is the next visual representation students can make from the information given?
A bar graph
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
Which culture is credited with developing the use of negative numbers?
Chinese
Preferred Flavor of Ice Cream-----Number of Students None-----6 Chocolate-----184 Vanilla-----109 Mint Chocolate Chip-----88 Other-----152 After completing a unit on graphing data, students are given the table above and asked what type of graph is most appropriate for displaying this data. What should they use?
Circle graph
Which of the following corresponds to the progression of stages of learning about a new mathematical concept from most basic to most advanced?
Concrete, representational, abstract
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
Which of the following is a correct factor tree for the prime factorization of the given number?
Factor tree C 27-3x9-3x3
Task A: You have 24 meters of fence to build a rectangular area for a garden. How many different sized gardens can you create if each side is a whole number? Task B: The length and width of a rectangle adds up to 20 inches. What is the range of areas that the rectangle can have if each side is a whole number? Both Task A and Task B shown above meet the goal of students exploring the relationship between area and perimeter. Which additional goal can be met through each of the tasks?
Finding multiple solutions
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
A teacher is introducing a new concept to her class. She explains the concept and then does one example problem. Next, she writes a problem on the board for the students to try. What is the best next step for the teacher to take?
Give students the opportunity to discuss their thoughts with a neighbor, then allow them time to formulate and answer
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
A teacher of students from various socioeconomic backgrounds is teaching financial literacy. Which of the following strategies is best for reaching all of the students in the class?
Have students create budgets using different, randomized income levels and share their information with the class.
The table shown gives the number of cookies sold by each person at a bake sale. Who has not sold ⅓ of their cookies?
Hazel
Which of the triangles below is the best example of an isosceles triangle?
Isoceles triangle has two sides that are equal
Based on the figure, which of the following is true?
Line EF is the transversal of lines AB and CD
A local school district requires all fourth graders to complete a 20-minute test containing 200 multiple-choice mathematics problems. Students are not expected to complete all of the questions, but are graded on the number they are able to get correct in the time limit. What component of mathematics fluency is most likely the goal of this type of assessment?
Rate
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
During a unit on finances, a teacher begins an activity by randomly assigning a job and an hourly wage to each student in class. Which of the following real-life situations is best to help students understand gross income versus net income?
Students must pay texas on their earnings
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.
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 manipulative
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 manipulative to model division and connect it to multiplication
After a blizzard, Joe tracks the height of the snow day by day. He gathers the following data: Day Height of Snow (inches) 0--------24 1---------20 2---------16 3---------12 Given that the snow melts at a constant rate, which of the following equations can be used to model the height of the snow, h, to the days since the storm, d?
h=24-4d
