MATH
Which of the following is the best numerical representation for the fractional equivalent of three quarters, five nickels, and four dimes?
1 2/5
What does the distance from A to B represent?
1/2
Which of the following is true?
10/15=44/66
Look at the following sequence of numbers: 1, 4, 9, 16, 25.... if the pattern continues, what will the tenth number in the sequence? a. 36 b. 81 c. 100 d. 121
100
A triangle has sides with the lengths of 3in, 4in, and 5in. If a similar triangle has corresponding sides with lengths of 6in, and 8in, what is the length of the third side?
10in
Children in a 3rd grade class are learning about fractions by following recipe directions to make a fruit smoothie. After the children added and teacher blended all of the ingredients, the recipe yielded 100 ounces of the beverage. Each of the 22 children was given 4 ounces, resulting in 12 ounces of smoothie left in the blender. What would be the numerator in the fraction representing the remainder?
12
When using base ten blocks, how many ten rods would be needed to make the number 126?
12
Which of the following shows 16,942 in expanded form? (Algebraic expression)
16,000 + 900 + 40 + 2
Which number belongs in the blank section of this input-output tale?
17
Person A has $6.32. Person B has 2 cents more than twice the amount of person A. If Person A and Person B combine their money, what is the total amount of money?
18.98
Which of the following is the same as 2.78?
2+ 7/10 + 8/100
The elementary garden club decided to use their eight of an acre designated for plantings to include two rows each of basil, strawberries, mind, tomatoes, and peppers. What fraction of the land will be used for peppers?
2/10
In Which of the following situations are the two quantities equal?
20 minutes of previews followed by a 99-minute movie versus 19 minutes of previews followed by a 100-minute movie
What is the mode of the set of data that follows? 160, 320, 180, 240, 240, 170, 195, 165
240
At what grade level are students expected to draw shapes with given numbers of faces or angles?
2nd Grade
Which of the following fractions is best represented by the letter "M" in the measurement model shown below?
3/4
What is the least common multiple of 2, 3, and 15?
30
The head of the PTA kept track of the genres of books sold during the fall and spring book fairs to help determine what books to order for the following year. How many fairy tales and fantasy novels were purchased in the fall?
35 + 50 = 85
In order to subtract 354 - 261. Which of the following must occur?
365 must be regrouped to 2 hundreds, 15 tens and 4 ones
A 3rd grade student is trying to solve (4 x 8) x 3. Which of the following would be an example of using the associative property to restate the problem?
4 x (8 x 3)
On the number line below, which of the following fractions would be equivalent to where the star is located?
4/6
A teacher has an appointment at 5:00pm at an office that is 125 miles from her school. She leaves school at 2:30pm. Which of the following must be her minimum average speed to allow her to arrive on time for her appointment?
50 mph
Find the rule for the given table of numbers
5X + 3
During a science experiment, a student found out that 3 identical marbles has a total mass of 12 grams. The student also discovered a paper clip has a mass of 1 gram. Which of the following statements is true about the mass of a marble (m) compared to the mass of a paper clip (p)
5m = 20p
A student wants to solve the expression 63-38. Which strategy will give the student the correct answer?
63 - 40 + 2
The diagram shows a classroom that will be carpeted. How many square meters of carpeting will be needed to cover the floor?
66m2
Based on the given input-output table, Which of the following pair of numbers complete the table?
7 and 19
Which of the following is equivalent to 7,355? (Algebraic expression)
7,000 + 300 + 55
One class ordered 4 pizzas that were each cut into 8 equal slices. The students have eaten 14 pieces of pizza. What fraction represents how much of the pizza the class had eaten?
7/16
The following pie chart shows the responses to a survey in which 300 children were asked their favorite recess activities. How many more children selected kickball than tag [from the pie chart, 45% for kickball, 20% tag, 20% hopscotch, 15% other]
75
Jontavious baked a cake and cut it into 4 pieces as shown. All 4 pieces of the cake were eaten. What fraction is equivalent to the amount of cake eaten?
8/8
A student has scored 78%, 62%, and 85% on three tests. What should the student have to earn on the next test to have an 80% average
95%
There are 48 passengers on a 54 passenger school bus. Which of the following would best be used in representing the fractions of occupied and empty seats?
A pie chart with 8 out of 9 slices shaded
Identify the core of the following pattern ABCBABCBABCBABCB
ABCB
A teacher is introducing ordinal numbers to a 1st grade class. The most appropriate strategy for introducing this concept would be to
Ask students to stand in a line in given ordinal positions
Which of the following are underlying concepts in patterning? 1. Comparing 2. Estimating 3. Ordering 4. Scaffolding a. 1 and 2 b. 1 and 3 c. 2 and 3 d. 2 and 4
B. 1 and 3
Which type of graph is most similar to a pictograph
Bar graph
Which of the following materials would be most appropriate for demonstrating the concept of place value to a 2nd grade class?
Base 10 blocks
A child counts 16 puzzle pieces. When asked how many are in each puzzle, the child states that there are 16. This child understands
Cardinality (# of elements in set)
A student is trying to solve the problem 354 - 261. He knows he makes a mistake every time he does a subtraction problem involving regrouping. Which of the following methods can he use in order to solve this problem correctly?
Circle 35 and 26 in the problem, Count on from 26 to 35 then subtract 4 - 1.
Which of the following graphs would best be used to compare parts of a whole unit?
Circle graph
A child sorts 40 manipulative cubes into 2 groups, one containing 23 cubes and one containing 17. The child then records that 23 + 17 = 40, and that 17 + 23 = 40. This is the basis for understanding the
Commutative property
The number 21 is accurately described by which of the following?
Composite
A 3rd grade teacher has introduced a unit on fractions. Which of the following would be the first developmentally appropriate step in teaching fractions
Concrete representations
A teacher places seven cubes in a row on a table. A child determines there are seven cubes by counting the cubes. The teacher then spreads the cubes out without adding or taking away any cubes. This child without counting responds, "There are still seven cubes, they are just spread out" What concept has the child displayed with this statement?
Conservation of numbers
The teacher puts 10 paper bags each containing a mystery book of the day for students to select from and asks if there are enough for all 18 students. This is to develop the skill of
Conservation of numbers
Which of the following has rotational symmetry
Cross shape
Out of 220 entries in the cooked bake-off, 140 were chocolate chip, what letter on the number line shows the fraction equal to the chocolate chip entries?
D. 7/11
When solving 8 x 2, a student changes the problem to 2 x 8 because she believes it is easier. Another student has the same strategy for division. Why does this strategy fail to work for divison?
Division does not have the same commutative property
A 1st grade teacher wants to collect data about the students' favorite colors. Which representation would be most appropriate to display their data?
Double bar graph
Which is considered one of the best ways to teach early primary children the concept of time?
Embedding time concepts in everyday routines and conversations
When a teacher is introducing geometric shapes to preschoolers, which of the following student activities would be most appropriate for reinforcement?
Finding the shape in classroom objects
Which of the following types of assessment would a teacher administer if the teacher wanted to determine an overview of individual students and the whole class at the conclusion of a unit a. summative b. formative c. alternative d. informal
Formative
types of assessment is defined as "determining the prior knowledge of individual students and using that information to drive instruction?"
Formative assessment
A 3rd grade class has demonstrated understanding of multiplication concepts and facts. Which strategy would best convey the concept of the inverse operation?
Having each child arrange 24 counters into 4 groups of 6, and then 6 groups of 4, to show that 4 x 6 and 6 x 4 both equal 24
A 3rd grade teacher is introducing linear measurement using the metric system. Which of the following strategies would be most appropriate?
Having students measure several objects of different lengths using metrics measuring tools
A 1st grade teacher observes that five of her students are not able to complete subtraction problems with numbers over ten. They count on their own fingers to take five away from seven and see that two remain, but do not know what to do when presented with problems such as 15-9 Which of the following approaches would best address this situations?
Having them practice subtraction problems with numbers over ten using manipulatives and then identify the corresponding addition fact
Which of the following shapes could be formed by the net shown below? a. octagonal prism b. square pyramid c. rectangular prism d. hexagonal prism
Hexagonal prism
A beehive, as illustrated by the given figure, is comprised of which of the following?
Hexagons
A teacher is holding a card with a picture of a familiar animal and number. The teacher asks students to make the sound of the animal as many times as the number on the card. Which of the following strategies is the teacher using?
Integrating math and art
After a discussion about the five senses, students are asked to get into groups according to their eye color. After counting how many students are in each group, the teacher helps the students analyze the information by asking questions about which group has more or fewer students compared with other groups. A teacher who implements this type of activity demonstrates a knowledge that
Integrating science and mathematics benefit student learning
Which of the following activities would be most appropriate for 3rd grade students?
Learning to calculate the amount of time between two stated times
A kindegarten teacher has been instructing students in matching sets one-on-one. Which of the following everyday activities would best reinforce this concept?
Lining up for reccess
A kindergarten class is matching seven cutouts of smiles with eight pictures of faces. This activity is developing students' understanding of
More-than relationship
Identify a pattern to the following sequence: 1, 8, 32, 13, 128, 64
Multiply one term by 8 and divide the next term by 2
A 3rd grader surveyed classmates to the types of pets living in classmates' homes. Which of the following statements can be determined from the given information?
No students in the class own a hamster
A teacher gave students an index card with a position (1st, 2nd, 3rd, etc) written on it. "The researcher then asked students to line up according to the position written on their card. Which of the following concepts were the students practicing?
Ordering
Each child in a kindergarten class is assigned a number by the teacher. When asked to line up in number order for lunch, a few children became confused and are unable to do so. In which of the following concepts does this demonstrate a lack of understanding?
Ordinality (deals with putting numbers in order, not 1st, 2nd, 3rd.)
What are the names of the three shapes used to compose the geometric figure?
Pentagon, triangle, rectangle
When two line meet and form right angles, they are said to be
Perpendicular
When teaching kindergarten children the meaning of the number 5, which of the following should the teacher introduce first?
Pictures showing four things
When introducing the concept of a simple close curve, a teacher can display which of the following letters?
Q
A teacher has already introduced her 3rd graders to the dime, nickel, and penny and is now introducing the quarter. She wants her students to have practice in finding the value of a set of coins and in selecting coins to build a given value. Which of the following will be most helpful in achieving the objective
Real coins
Mr. Green is reinforcing numeral recognition with his kindergarten class. Which instructional activity would be most appropriate for the students?
Repeating numerals orally
The class is presented with the following word problem "In the Little League championship, the Manatees scored 4 more points than the Herons, ending the game with 9 runs. How many runs did the Herons score?" Which strategy would best help the children understand this paradigm?
Represent the scores with counters
A student was asked to draw a polygon with the following defining attributes 1. It has four sides 2. All four sides are congruent 3. It has two obtuse and two acute angles Which of the following shapes could the student draw to correctly meet all the defining attributes of this shape?
Rhombus
When introducing the concept of linear measurement to young children, the teacher should begin with activities in which students measure familiar objects using a
Ruler
During snack time, the teacher has one student pass out napkins to each of the other students. After that, another student places a cookie on each napkin. Which of the following is NOT being practiced during this task?
Sorting
The children in a 2nd grade class are learning about money. Which instructional strategy would be most effective in teaching the students the number and type of coins needed to purchase an item?
Students act out by establishing a classroom store where children take turns as cashiers and customers
A third grade teacher is preparing to introduce her students to the concept of measurement for the area of a rectangle. Which would be the best strategy to relate area to multiplication?
Students count one row and one column of blocks and multiply the numbers
According to generally accepted principles of child growth and development, which of the following techniques should a teacher use to help 1st grade students decide on the appropriate operation for simple one-step addition or subtraction word problem?
Teaching the key phrases that indicate the appropriate operation to use in solving problems
A child calculated a subtraction problem incorrectly and arrives at the following answer: 373 -189 ------- = 216 Which statement is a most valued assessment of her error?
The child does not have mastery of subtraction facts
a first grade child is working with a small pile of manipulative coins. The child is able to identify each coin, but cannot determine the sum of the coins. This is most likely due to the fact that
The child has had insufficient time to work with the manipulatives
Which of the following situations would best be represented with a bar graph?
The number of students in each fifth grade class at an elementary school
A student is putting up a wall paper border in a room. What must the student measure in order to purchase the correct amount of wallpaper border?
The perimeter of the room
Which is the word for of 3607
Threee-thousands, six hundreds, zero tens, and seven ones
A child is exploring geometry using foam shapes. After tracing a scalene triangle on a graph paper, the child slides the shape two inches to the right and traces it again. This is an example of a. rotation b. perspective c. reflection d. translation
Translation
A second grade student was having difficulty with the wordings and problem structure for addition word problems. Which of the following would best facilitate his struggles with problem solving?
Using counters to model or act out the problem
A first grade student has become proficient with the counting all strategy to solve addition word problems. Which of the following is the most appropriate next strategy to introduce to this student?
Using known facts
The students in a 1st grade mathematics class are expressing defeatism towards place value. The teacher wants to take actions necessary to foster success in mathematical thinking. In the given situation, Which of the following would best improve the students' attitudes towards mathematics?
Working in flexible groups to explore multiple ways to solve place value problems
According to the adopter state standards, which of the following would be an example of a student modeling standard 4, modeling with mathematics?
Writing a subtraction equation to represent a set of facts
Which of the following algebraic expressions represents "seven less that the quotient of X and two"
X/2 - 7
Which of the following manipulatives is the most effective for a kindergarten teacher to use when introducing the concept of sorting?
attribute blocks
The measurement of angle BAC is? [Note: ABC = 90, BCA = 32, therefore BAC = 58] Which strategy would be most effective in teaching second grade students how to find differences between "a.m." and "p.m."? a. Listing familiar activities and sort by whether they take place when it is dark or light outside b. Explaining the meaning of ante- and post meridiem in relation to the north and south poles c. Having the children brainstorm examples of activities that take place before and after noon d. Having children use shaded manipulative analog clocks that they can indicate specific times
b. Explaining the meaning of ante- and post meridiem in relation to the north and south poles
Which strategy would be most effective in teaching second grade students how to find differences between "a.m." and "p.m."? a. Listing familiar activities and sort by whether they take place when it is dark or light outside b. Explaining the meaning of ante- and post meridiem in relation to the north and south poles c. Having the children brainstorm examples of activities that take place before and after noon d. Having children use shaded manipulative analog clocks that they can indicate specific times
b. Explaining the meaning of ante- and post meridiem in relation to the north and south poles
A teacher gives the students multiple options for making sense of concepts and ideas and for taking in information. In the given situation, which of the following is best illustrated by the teacher's practice? a. pacing instruction b. progress monitoring c. homogenous grouping d. differentiating instruction
differentiating instruction
A teacher was teaching her students symmetry but decided to teach congruence at the same time. Which of the following statements illustrates the best reason these two concepts would be taught together a. when a line of symmetry is drawn, both sides are congruent b. if a figure has a line of symmetry, then it is congruent c. symmetry and congruent mean the same thing d. all congruent figures have a line of symmetry
if a figure has a line of symmetry, then it is congruent
A group of 3rd grade students in one class has developed a poor disposition towards mathematics and are beginning to perform below grade level expectations. the teacher would like to help change these dispositions and help the students perform better in mathematics. Which of the following should the teacher do to best help foster the development of these students in mathematics? a. remind the students that not everyone is good at math b. give step by step instructions to solve math problems c. provide leveled activities so they can make sense of the mathematics and feel success in solving them. d. focus on small group instruction with the students to provide on and above grade level instruction
provide leveled activities so they can make sense of the mathematics and feel success in solving them
Which of the following geometric vocabulary terms is represented by the given picture? a. ray b. line
ray
A child went to the store and bought a video game for $22. The child also bought a pack of trading cards which cost less than the video game. Which statement is true about the total amount (t) of the money the child spent?
t < $44
