Mathematics Diagnostic

Question 1

Danielle is showing a small of group of third graders how to solve multiplication problems using a diagram. What is the diagram she is likely using?

Answer 1

Array

Question 2

Dr. Boote is choosing manipulatives to teach fractions. Which should she NOT choose?

Answer 2

Unifix cubes

Question 3

The district requires that kindergarten teachers incorporate technology into their mathematics instruction. Which is their best option?

Answer 3

Use physical manipulatives to teach about shapes, allow students to work with virtual manipulatives, and provide some time with a computer game that deals with shapes.

Question 4

Coach Vicki is teaching the children about patterns. She has the kids do this: clap-clap-jump-stomp. This is the same pattern as

Answer 4

blue bear-blue bear-red bear-green bear.

Question 5

Wayne gives his first graders the following problem to solve: 6+4+7. Gabrielle says 6 plus 4 equals 10. Ten plus 7 equals 17. She is using what property of addition?

Answer 5

Associative

Question 6

Lunetta is lining up plastic dinosaurs in a row. Her teacher points to them in order as Lunetta says, first, second, third, fourth. She is demonstrating

Answer 6

ordinal numbers.

Question 7

During circle time, Dianna creates a graph to show the students’ birthdays in each month. What type of graph should she use?

Answer 7

Bar graph

Question 8

Kenya is writing 504 in expanded form. What does she write?

Answer 8

500+4

Question 9

Mr. Toma has pulled a small group for a review of odd numbers. Tom says that the sum of two odd numbers can be even or odd. It just depends. Gabby says that the sum of two odd numbers is always an odd number. Mark says that the sum of two odd numbers is always an even number. Chris says that the sum of two odd numbers is an even number if one of the addends is less than ten. Which student is correct?

Answer 9

Mark

Question 10

Taylor is working with geometric shapes in the math center. Shapes have what defining attribute?

Answer 10

Number of sides.

Question 11

Lorie is planning a guided play lesson to introduce spatial concepts and vocabulary. What materials would be best suited for her lesson?

Answer 11

Blocks of different shapes and sizes

Question 12

Ms. Joanna is working with her 20 kindergarten students to graph their birthday months. After they have graphed the students in January through October, she asks them to predict how many students were born in November and December. This question will require her students to

Answer 12

think beyond the information in the graph.

Question 13

While at the pool, Corbin buys a slice of pizza for $1.06. He gives the cashier $5.10. How much change should he get back?

Answer 13

$4.04

Question 14

Tomas is gathering geometric shapes for his math centers. Which of the following is a two-dimensional geometric shape composed of line segments?

Answer 14

Tomas is gathering geometric shapes for his math centers. Which of the following is a two-dimensional geometric shape composed of line segments?

Question 15

Mrs. Wright hands a student a pile of plates and asks her to give each classmate one. Which concept is she helping her students to develop?

Answer 15

One to one correspondence

Question 16

Johnny claps twice quickly, stomps his foot, taps his knees and then claps quickly twice again. He repeats the sequence three times. What math pattern is closest?

Answer 16

Blue bear-green bear-yellow bear-blue bear

Question 17

Mr. David writes the math problem 2+8 on the board. He asks Soonyhang to come solve it. She rewrites the problem as 8+2, and then writes 10 as the answer. She is demonstrating which of the following?

Answer 17

Commutative property

Question 18

Susan is preparing an activity where the students sort and graph colored cereal pieces. Which graph would be best to use?

Answer 18

Bar

Question 19

Tia is working with a math balance set-up in the math center. She places weights on each side to balance. What concept is she demonstrating?`

Answer 19

Equality

Question 20

William plans to assess the students in his four-year-old class for their understanding of adding and taking away. What would be the best type of sentence to use?

Answer 20

Four and six make ten.

Question 21

Marquez is lining the rocks up “small-large-small-large-small-large”. He then sorts them by color. Mr. Miller notes that he is likely demonstrating an understanding of what concepts?

Answer 21

Math concepts pattern and order

Question 22

If Marquez then makes patterns using the rocks, he is demonstrating

Answer 22

operations and algebraic thinking.

Question 23

When is the best time for children to learn about spatial concepts, or the properties of objects and relationships among objects?

Answer 23

Before preschool, when children are at the concrete stage

Question 24

Kim asks her small group to show the number 732 in expanded form.

Answer 24

Roxie indicates 700 + 30 + 2.

Question 25

Ms. Blake is introducing geometric shapes beyond the square and triangle. What common everyday object can she use to introduce the students to the cylinder?

Answer 25

A can of soup.