Ec-6 Math : Certify teacher

Use the information below to answer the question that follows. Items are computer $1800 discount 33.3% monitor $360 discount 25% and printer $100 discount 20%. A store is having an end-of-the-year computer sale. What is the total cost of a discounted computer system (i.e., computer, monitor, and printer)?

$1,550.60 1) First you need to know the amount that is being discounted off the regular price for each of the items. (2) Next, you need to subtract the discounts from the regular prices to know the discounted sale price for each item.(3) Add the results of step (2) to calculate the total cost of the discounted computer system. Percentage Decimal format 33.3 % = .333 25% = .25, 20% = .20 Step 1 Step 2 Step 3 Computer: .333 x $1800.00 = $599.40 → 1,800 - 599.40 = 1200.60 Monitor: .25 x $360.00 = $90.00 → 360.00 - 90.00 = 270.00 Printer: .20 x $100.00 = $20.00 → 100.00 - 20.00 = 80.00 Total Cost: $1,550.60

Samantha works at a clothing store where she receives an employee discount of 20% on all clothing items. She wants to buy a sweater that usually sells for $100, but is on sale for 25% off. How much will the sweater cost Samantha if she applies both the 25% off sale price and her 20% employee discount?

$60 The key to solving this problem is to remember that the entire price of the sweater is represented by 100%, so a 25% reduction leaves 75% and a 20% reduction leaves 80%. So, 100%-25% = 75%, and 75% of $90 = (.75)(100) = $75 Then, 100%-20% = 80%, and 80% of $75 = (.80)(75) = $60.

Which of the following expresses the commutativity of - 3 0 + ( a + 4 ) = ?

-30 + ( 4 + a )

What is the solution, if any, to the expression: 1n = ?

1 a special property of one is that one raised to any power is always still one.

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

18 first, both numbers should be factored into primes. 36=2 to 2 squares times 3 the square roots of 2 630= 2 square root of 1 times 3 square roots of 2 times 5 square roots of 1 times 7 square roots of 1 to find the greatest common factor, calculate the product using the smallest number in each column: x=18 some common factors of both of these numbers are 1,2,6 and 9 but 18 is the greatest common divisor.

Tymon is cooking biscuits. The recipe calls for the following ingredients. If he wants to triple the recipe, how much baking soda will he need to put in the biscuit mix? 1 cup flour ¾ teaspoon baking soda 1 teaspoon salt ½ cup milk

2 ¼ teaspoons add the second 3/4 to the first: 3/4+3/4=6/4=3/2=1 1/2 then add the last 3/4 the 3/4 could be thought of as 1/2 + 1/4. lets add each term, one at a time, to the sum above: 1/2 + 1 1?2 = 2. finally, adding the term 1/4 to the sum: 1/4 + 2 = 2 1/4 = 2.25.

Find the sum of the following: 2/9 + 1/4 + 1/6

23/36 The Lowest Common Denominator (LCD) is 36. 2/9 + 1/4 + 1/6 = 8/36 + 9/36 + 6/36 = 23/36 The key to finding the right answer here is in understanding that it is necessary to find the LCD and how to do that. The LCD is basically a number that is divisible by all three denominators. In this case 36 is the lowest number that is divisible by 9, 4, and 6. Finding the Lowest Common Denominator (LCD) is important because fractions cannot be compared or added/subtracted unless you have the same size and same number of parts in one whole. Circles divided into mini parts, four parts and six parts, can all be divided into 36 equal parts for comparison.

Express 43⁄8 as a decimal number.

4.375 find 3 divided 8 = 0.375 add this to 4.

Walter looks forward to Fridays because his teacher plays his favorite math game during the math period. She gives the class a number, and the students write an expression to equal that number. The object is to use some unusual methods to calculate the number because the class wants to get as many different answers as possible. Today the teacher gives the number 24. Which of the following is the correct expression to equal 24?

60 ÷ 3 + 6 - 2 * (-10 ) PEMDAS

Sorting, classification, investigation of size, shape, color, logical reasoning, sequencing, patterns, symmetry, similarity, congruence, thinking skills, geometry, organization of data. The goal of the teacher is to develop activities that move children from the concrete through the abstract stages of reasoning necessary for learning higher-level mathematical concepts. Manipulatives help teachers accomplish this goal.

Attribute blocks

Sorting, ordering, counting, number concepts, comparisons, fractions, ratio, proportion, place value, patterns, even, and odd numbers. . The goal of the teacher is to develop activities that move children from the concrete through the abstract stages of reasoning necessary for learning higher-level mathematical concepts. Manipulatives help teachers accomplish this goal.

Cuisenaire rods

is embedded in the sequence of instruction and is designed to enhance learning with non-threatening results and adapt to student needs.

Formative assessment

Troy and Walter are neighbors. They both have mowed their grass today. Troy mows his grass every 3 days. Walter mows 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. Thus, 15 is the least common multiple.

The product of two rational numbers can belong to which of the following combinations of sets of numbers?

Rational numbers, integers, whole numbers, and natural numbers The product of two rational numbers such as ( 2/3 )( 3/2 ) is 1. The number 1 is a member of the natural numbers. Since the natural numbers are a subset of the whole numbers {0, 1, 2, 3, 4,...} and the whole numbers are a subset of the integers, and the integers are a subset of the rational numbers (decimal representation has a terminating or repeating decimal number, examples: 4.0, 4.25,4.3 , 4.5, 4.66 ), the product of two rational numbers can be a member of all four of these number sets.

The teacher tells the class to put the following numbers in order from smallest to largest.8 -3.5 9⁄2 π 2.1 2.03 √ 2 Based on the exercise the teacher has given, the exercise is most likely trying to assess which of the following number concepts.

Relative magnitude Relative magnitude includes ordering or comparing place value of real numbers on a number line.

Given two even integers, a and b, determine what could be the least common multiple (LCM)?

ab⁄2 Of the choices given, ab⁄2 is the LCM. Since both numbers are even, both have factors of 2. So, the product can be reduced by 2. If the numbers have only one factor of 2 in either of them such as in 6 and 16, then 96 is the product and a multiple. However if 96 is reduced by 2, then 48 is the LCM.

basic operation has commutativity?

addition

Which could be used to find two consecutive even numbers whose sum is 80?

because 80 is a sum of doubles (40+40), there is not two consecutive even numbers that will add together to equal 80.

The teacher has her pre-kindergarten students count the number of triangles in the set: one-two-three-four-five. To reinforce the idea, she has them count the triangles again: one-two-three-four-five. She asks the students, "What is the special meaning of five here?" The picture was big circle with five triangles inside. Which of the following meanings of the number five is the teacher asking for?

cardinal The special meaning of five in this example is a cardinal meaning. It is the number of triangles in the set.

Ms. Brown wants to introduce her students to the concept of ratio. Which of the following sets of manipulatives best describe those that can effectively be used to teach this concept?

color tiles, cubes, Cuisenaire rods, tangrams, pattern blocks, 2-color counters

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 the 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 the 15 and 45 for a sum of 60 and the 12 and 28 together for a sum of 40.

the set of rational numbers contains repeating decimal numbers.

rational

the number zero raised to any non-zero real number is one.

real number.

A teacher begins a new lesson on Trigonometry 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 assessment methods would be least appropriate for achieving this goal? 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.

summative

Given the task of computing two consecutive even numbers whose sum is 50. Let x represent one number. Determine the choice below that should represent the second number.

x + 2 the expression 24+26 results in 50. so if 8 = 24, then 8 + 2=26. In summary, given * is an even number, the next consecutive even number is * + 2.