Mathematics: Certify Teacher

A shirt costs $49.99 plus 8.25% sales tax. What is the total cost of the shirt? (use a compatible number for the price of the shirt?)

$54.13 To convent precent to a decimal, move the decimal two places to the left and drop the percentage sign. So, the decimal two places to the left and drop the percentage sign. So, the decimal from 8.25% is 0.08235. Multiply the cost of the product by the decimal representation of the percent: 50 x 0.0825 =4.125. The tax for the shirt id $4.125. Add the tax and the cost of the shirt: 4.125 + 50= 54.125, which rounds up to 54.13.

Jill's current salary is $53,241. she learns the school board has approved a 5% raise for the coming school year. Which of the following is not a method that Jill can use to determine her new salary?

(53241 /1.05) + (.05) (53241)

A recent survey revels that 40% of young people between 15 and 25 years of age will buy an iPod this year. Of those who buy iPods 35% enjoy listening to country music. If "N" is the number of young people between 15 and 25 this year will enjoy listening to country music on iPods?

.14N There are 40% of young people between the ages of 15 and 25 who buy an iPod. One of those 40%, 35%enjoy listening to country and western music on them. Therefore, you must multiply 40% by 35% converting each number to its decimal equivalent (.40, .35). Set up the problem like this .40 x .35 -------- 200 1200 ------- .1400

A sample of 400 college students was asked the following questions, "On which of the following occasions are you likely to purchase a gift for your mom (only picking one): her birthday, Christmas, Mothers day, no special occasion, or Valentine's Day? What is the probability of one mom of these surveyed receiving a gift for mothers day this year? Mothers day 48 valentines 52 No Special Occasion92 Birthday 28 Christmas 180

0.12 Number of outcomes for an event ------------------------ Number of possible outcomes which in this case is 48 3. = 0.12 --- -> --- 400. 25

At Leslie's beauty shop, she has found that a customer will want a color with a probability of 0.53, a haircut with a probability of 0.4 and both with a probability of 0.17. What is the probability that a customer will require a color and not a hair cut?

0.36 Te probability of customers wanting just a color is 0.53. The probability of customers wanting a color and a haircut is 0.17. This 0.17 is included in the 0.53. Subtract 0.53 - 0.17 = 0.36.

What is the probability of getting at least two tails in tossing three coins?

0.5

An individual from Texas is interested in purchasing land in Canada. The realtor informs him that there is a piece of land that is 1.8 km ^2. The individual is at lost to the side of the piece of land. He needs to be able to convert there 1.8 km^2 to square miles. Convert 1.8km ^2 to square miles for the Texan (using the

0.69 square miles

Sam and Joey are learning about money in their third-grade class. Sam tosses four coins on the table. What is the probability that all four coins will land on heads?

1 --- 16 There are four coins and each has two sides, so there are 2 possible outcomes for each coin. To calculate the number of possible outcomes: 2 x 2 x 2 x 2 = 16

What us the probability that a couple's first or second child will be a boy?

1/2

What is the probability that both a couple's first two children will be boys?

1/4 The Probability of the first child being a boy is 1/2. The probability of the second child being a boy is 1/2 as well/ Multiply these two together to calculate the correct answer (1/2 x 1/2= 1/4)

A popcorn company needs to have a new side Gabe printed for their large popcorn holiday can. The side lane will cover the entire surface area of the cylinder part from top to bottom. The diameter of the can is 1q6 inches and the height is 20 inches. How much area does the new cable cover?

1005.31 in ^2 Given the diameter is 16, the radius is half of that. The circumference is C =2TT(PIE)R = 2TTR(8)=50.265/ The surface area is the product of the circumference and the height: 50.2655 x 20 = 1005.31^2

Use the concept of combinations to solve the problem. What is the probability of being dealt 4 hearts from a standard 52-card deck if only 4 cards are to be dealt?

11 --- 4165 Use combination to ratio to solve this problem. 13 Cv4 -> 715 -> 11 ------- ---- --- 42Cv4 270725 4165

Sea-Tac Airport Seattle, WA, has a flight leaving for Dallas, TX every 2 hours and a flight leaving for Washington, D.C. every 45 minutes. At 5:00 am on Monday, a flight to Dallas and a flight to Washington D.C. leave at the same time. What is the next time that flights to Dallas and Washington D.C. will leave at the same time?

11:00 am the same day

A third grade class is using plaster of Paris to make impressions of their hands. Each students needs 12 ounces of plaster to make an impression of their hands. There are a total of 20 students o=in the class. How many pounds of plaster will the teacher need for the activity?

15 pounds it takes 12 ounces of plaster per impression. Since there are 20 students, then it will take 20 x12 =240 ounces of plaster to make all the impressions. The answer choices are all given in pounds not ounces. the next step is to convert 240oz to lbs. Using conversion that 1 lb is equivalent to 16 oz. covert oz to lb dividing 240 oz by 16 oz. 240 / 16 =15 lb

What is the greatest common divisor (GCD) of the following numbers 630 and 36?

18

What is the median of the following grades for a math test. 45 85 95. 83 82. 76. 76. 92

82.5

A teacher decides to assign students a project where they will develop an amortization schedule of a purchase so they can apply a lesson using the future value formula and observe the details line by line as payments are made. What would be the nest approach in assigning a purchase?

Have the class research products online such as stereos, games stations, etc. and choose an item they would like to purchase.

Use the letters below to answer the question that follows. E T V D Students are classifying the letters of the alphabet according to the type of symmetry they have. Which of the following letters has the same kind of symmetry as the lerrers shown above?

M

Mrs Ramirez and her second graders have been engaged in a math unit focusing on measuring length. In the classroom math center, Mrs Ramirez has put a set of objects including a book, photograph, a pencil, a notebook, an index card, and a ruler. She instructed her students to individually visit the center at the some time during the week and to use the ruler to measure each of the objects and record the lengths on the worksheet provided. Mrs Ramirez is observing the children to collect formative assessment data for the children's mastery of the following mathematics TEKS: 9) geometry and measurement. The student applies mathematical process standards to select and use units to describe length, area and time. The students is expected to: A0 find length of objects using concrete models for standard units of length; Mrs Ramirez observes carefully as \Emma comes to the math center and begins to measure each object. She notes the Emma does nor place the ruler evenly with the base objects she is measuring and so the lengths that she is recording are significantly shorter than the object. What action should Mrs. Ramirez take next?

Mrs. Ramirez should plan and present and re-teach activity on using a ruler to measure length for Emma and any other children who did not successfully complete the math center activity.

An early childhood teacher is planning a lesson series on addition. The teacher introduces the concepts of addition through recalling piroshki's knowledge of patterns using cubes or different colors. The Teacher then moves to having the students model who she models with adding cubes of two different colors. The next day the teacher models adding cubes of different colors with a written algebraic expression. What would be the next step for the students?

The students would model the algebraic expression with cubes

The teacher helps a student draw a horizontal line 3 inches with a straightedge and a perpendicular line 2 lunches connecting the edge of these lines at a point as shown in the graph below.

What is the length of the diameter?

Mrs Sanders is introducing multiplication to her second graders. She would like to integrate the children's learning of multiplication into other subjects areas to demonstrate to her students how they will use multiplication in real life. Which of the following would demonstrate to her students how they will use multiplication in real life. Which of the following would be an appropriate activity fort integrating multiplication into the second grade science curriculum?

asking the children to calculate how much food the class pet will need for the week

The prenumeration activity of having young children place similar shapes in columns is laying the foundation for which of the following?

bar graph

The letters a, b, and c represent whole numbers greater than zero with a< b< c. Which of the following number is greatest?

c/a

Mrs. Johnson teaches fourth graders with learning disabilities. She asks them to add the following numbers: 15 12 28 +45 Jamie responds very quickly with 100. When Mrs. Johnson asks him how he solved it he replies: "I added 15 and 45 and got 60 and then I added 12 and 28 and got 40. Next, I added 60 and 40 together and got 100." Which of the following two properties of numbers did Jamie use to solve this problem?

commutative and associative Jamie used commutative property to change the order of the numbers to be added when he moved the 45 up with the 15. Then he used the associative property to group 15 and 45 for a sum of 60 and 12 and 28 together for a sum of 40

Workers at a local factory make $8, $10, or $12.50 per hour. Each receives a $50 weekly gas allowance. Let h=hours and r=rate. Which express can be used to represent the gross weekly pay of each individual?

hr+50

The teacher creates the following word problem. Word problem: Troy and Walter are neighbors. They both have moved their grass today. Troy mows his grass ever 3 days. Walter does his grass every 5 days. How many days will it be before they both mow their grass on the same day? Based on the word problem, the lesson will most likely cover which of the following?

least common multiple -The smallest number that both 3 and 5 will divide into without a remainder is 15. A multiple of 3 and 5 is a number that both 3 and 5 divided into evenly.

Average daily temperature are most likely calculated using which method of central tendency?

midrange Because temperature fluctuates so much through the day, taking the average of the lowest and highest temperature for the day is the easiest method

Which of the following approaches and initiatives used by a math teacher will best assist with planning, delivery, and reevaluating instruction to ensure that every students is learning sound is learning sound and significant mathematics and is developing a positive disposition toward mathematics?

observing, listening to and gathering other information about the students to assess what they are learning.

A second grade math teachers assessed their students over several concepts including problems solving with addition and subtraction. After grading a benchmark summative assessment, the teachers met to review the data and determine which students struggles most with which concepts. The teaches put the students into groups according to each students weakest concepts. Which of the following could be part of the plan to re-teach?

spend a few days with the students grouped by what they struggled with the most and re-teach the corresponding concept to the group

A teacher begins a new lesson on Multiplication on Monday. She would like to identify which concepts of the new lesson are most difficult for students to comprehend, so that she can adjust her lesson plans for Tuesday as the lesson progresses. Which of the following assessments methods would be least approbate for achieving this goal?

summative; summative assessments should be used once the concepts are believed to be understood by the students not in the initial learning process, because these assessments contain formal grades.

Mrs Jonson teaches fourth graders, some with learning disabilities. Many of them are having trouble with expressions similar to this one: 12+ (7 *2) - 2(5+3). Students trouble is most likely the result of misunderstanding

the order of operation

Mrs Wilson is preparing her 4th graders for Math TEKS. Four math problems similar to the ones shown below fill up the blackboard. The cost of a sweater at Sears was $75.00. At the back-to-school sale it was makes to $13.50 off the original price. What was the price of the sweater during the sale? Explain the process you used to find the sale price. A first year math teacher visiting Mrs. Wilson's classroom quickly observes the tasks have "real world" context, require an explanation, involve multiple steps, and are "text-like" but, require no manipulative and show no connection to meaning. Which of the following best describe the reason Mrs. Wilson most likely chose the task for her students?

to increase students speed and accuracy in solving problems

Implicit and explicit rules can describe sequences verbally, numerically, graphically, and symbolically. Which of the following would be an explicit rule of mathematics?

y=x+2 An explicit rule is clearly defined. It can be expressed in terms of an input-output table where the input is known and a rule must be followed to solve for the output