Question 1

Modeling the inverse nature of multiplication and divisions might be done by:

Accepted Answer

A) putting five beans into each of 6 cups and separating 30 beans into 6 cups. 
B) showing that 3 × 5 is 15 and 5 × 3 is 15. 
C) showing 273 as 2 hundred, 7 tens, and 3 ones with base-10 blocks. 
D) giving 4 children 3 cookies each. 
A) putting five beans into each of 6 cups and separating 30 beans into 6 cups. 
B) showing that 3 × 5 is 15 and 5 × 3 is 15. 
C) showing 273 as 2 hundred, 7 tens, and 3 ones with base-10 blocks. 
D) giving 4 children 3 cookies each.

Question 2

Kayla has 15 strawberries. She gives 4 strawberries to each of her 3 friends. How many strawberries are left for Kayla?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
A) 1 
B) 2 
C) 3 
D) 4

Question 3

Match the number operations with examples related to that operation.
John has 3 pets and Sally has 4 pets. How many pets do they have?

Accepted Answer

A) addition 
B) subtraction 
C) multiplication 
D) division 
A) addition 
B) subtraction 
C) multiplication 
D) division

Question 4

Describe two activities you could use to build children's understanding of addition or subtraction.

Accepted Answer

1. Number Line Hopscotch: Create a large

Question 5

Subtraction is represented by which four different stories or situations?

Accepted Answer

A) takeaway, whole-part-part, comparison, and completion 
B) commutative, inverse, associative, and identity 
C) fluency, algorithms, estimation, and mental computation 
D) difference, remainder, subtrahend, and minuend 
A) takeaway, whole-part-part, comparison, and completion 
B) commutative, inverse, associative, and identity 
C) fluency, algorithms, estimation, and mental computation 
D) difference, remainder, subtrahend, and minuend

Question 6

Define and give examples for the two types of division.

Accepted Answer

In mathematics, division, one of the fou

Question 7

The problem below is an example of what?Penelope's 40-page stamp book has spaces for 35 stamps on each page. How many stamps can she put in the book?

Accepted Answer

A) repeated addition model for multiplication 
B) geometric interpretation or array model for multiplication 
C) Cartesian cross-product or combination model for multiplication 
D) measurement model for division 
A) repeated addition model for multiplication 
B) geometric interpretation or array model for multiplication 
C) Cartesian cross-product or combination model for multiplication 
D) measurement model for division

Question 8

Explain why division by zero is undefined.

Accepted Answer

Division by zero is undefined in mathema

Question 9

Match the number operations with examples related to that operation.
Santino can run to the fence in 55 seconds. Estela can run the distance in 52 seconds. Who is faster?

Accepted Answer

A) addition 
B) subtraction 
C) multiplication 
D) division 
A) addition 
B) subtraction 
C) multiplication 
D) division

Question 10

The problem below is an example of what?
Eric has 23 cookies. He has 4 friends coming to his party. How many cookies does each friend get?

Accepted Answer

A) repeated addition model for multiplication 
B) geometric interpretation or array model for multiplication 
C) partitive or sharing model for division 
D) measurement or repeated subtraction model for subtraction 
A) repeated addition model for multiplication 
B) geometric interpretation or array model for multiplication 
C) partitive or sharing model for division 
D) measurement or repeated subtraction model for subtraction

Question 11

Match the number operations with examples related to that operation.
Counting by 2s, 3s, 4s, or 7s

Accepted Answer

A) addition 
B) subtraction 
C) multiplication 
D) division 
A) addition 
B) subtraction 
C) multiplication 
D) division

Question 12

The owner of the bookstore gave the school 17 books. The principal is going to divide the books equally among 5 classes and give the rest to the school library. Draw a picture that shows how many books each class will get and how many the library will receive. Show your work, then explain in words how you got your answer.

Accepted Answer

To divide 17 books equally among 5 class

Question 13

Sample Test Items
What is the greatest number of 40-cent apples that can be purchased with $5.00?

Accepted Answer

A) 6 
B) 12 
C) 15 
D) 20 
A) 6 
B) 12 
C) 15 
D) 20

Question 14

What roles do the commutative and associative properties play in learning the basic facts?

Accepted Answer

The commutative and associative properti

Question 15

How should 3 children share 12 cookies equally?

Accepted Answer

A) 3 portions of 4 cookies each 
B) 4 portions of 3 cookies each 
C) 1 portion of 5 cookies, 1 portion of 4 cookies, and 1 portion of 3 cookies 
D) 2 portions of 6 cookies each 
A) 3 portions of 4 cookies each 
B) 4 portions of 3 cookies each 
C) 1 portion of 5 cookies, 1 portion of 4 cookies, and 1 portion of 3 cookies 
D) 2 portions of 6 cookies each

Question 16

The commutative property may be modeled by:

Accepted Answer

A) moving back and forth on a number line. 
B) rotating a domino by 180 degrees. 
C) plus one and plus zero facts. 
D) showing combinations of 10 using Unifix cubes. 
A) moving back and forth on a number line. 
B) rotating a domino by 180 degrees. 
C) plus one and plus zero facts. 
D) showing combinations of 10 using Unifix cubes.

Question 17

The problem below is an example of which type of subtraction situation?Shafi has 21 rookie baseball cards, and Bandar has 12 cards. How many more cards does Shafi have than Bandar?

Accepted Answer

A) takeaway 
B) comparison 
C) completion 
D) whole-part-part 
A) takeaway 
B) comparison 
C) completion 
D) whole-part-part

Question 18

Which number makes the following number sentence true?

Accepted Answer

A) 4 
B) 7 
C) 9 
D) 17 
A) 4 
B) 7 
C) 9 
D) 17

Question 19

The problem below is an example of which type of subtraction situation?Tamar found 18 ballpoint pens in a desk at her house. Eleven were out of ink. How many usable pens did she find?

Accepted Answer

A) takeaway 
B) comparison 
C) completion 
D) whole-part-part 
A) takeaway 
B) comparison 
C) completion 
D) whole-part-part

Question 20

Use of compatible numbers makes computation easier because children:

Accepted Answer

A) work with numbers less than 100. 
B) look for numbers with sums such as 10, 100, or 1,000. 
C) the sum of compatible numbers is always even. 
D) the product of compatible numbers ends in 5 or 0. 
A) work with numbers less than 100. 
B) look for numbers with sums such as 10, 100, or 1,000. 
C) the sum of compatible numbers is always even. 
D) the product of compatible numbers ends in 5 or 0.

Modeling the inverse nature of multiplication and divisions might be done by:

Kayla has 15 strawberries. She gives 4 strawberries to each of her 3 friends. How many strawberries are left for Kayla?

Match the number operations with examples related to that operation. John has 3 pets and Sally has 4 pets. How many pets do they have?

Describe two activities you could use to build children's understanding of addition or subtraction.

Subtraction is represented by which four different stories or situations?

Define and give examples for the two types of division.

The problem below is an example of what?Penelope's 40-page stamp book has spaces for 35 stamps on each page. How many stamps can she put in the book?

Explain why division by zero is undefined.

Match the number operations with examples related to that operation. Santino can run to the fence in 55 seconds. Estela can run the distance in 52 seconds. Who is faster?

The problem below is an example of what? Eric has 23 cookies. He has 4 friends coming to his party. How many cookies does each friend get?

Match the number operations with examples related to that operation. Counting by 2s, 3s, 4s, or 7s

Sample Test Items What is the greatest number of 40-cent apples that can be purchased with $5.00?

What roles do the commutative and associative properties play in learning the basic facts?

How should 3 children share 12 cookies equally?

The commutative property may be modeled by:

The problem below is an example of which type of subtraction situation?Shafi has 21 rookie baseball cards, and Bandar has 12 cards. How many more cards does Shafi have than Bandar?

Which number makes the following number sentence true?

The problem below is an example of which type of subtraction situation?Tamar found 18 ballpoint pens in a desk at her house. Eleven were out of ink. How many usable pens did she find?

Use of compatible numbers makes computation easier because children:

Elementary Mathematics for the 21st Century

Defining a Comprehensive Mathematics Program

Mathematics for Every Child

Learning Mathematics

Organizing Effective Instruction

Integrating Assessment

Developing Problem-Solving Strategies

Developing Concepts of Number

Extending Number Concepts and Number Systems

Extending Computational Fluency With Larger Numbers

Developing Understanding of Common and Decimal Fractions

Extending Understanding of Common and Decimal Fractions

Developing Aspects of Proportional Reasoning: Ratio, Proportion, and Percent

Thinking Algebraically

Developing and Extending Geometric Concepts and Systems

Developing and Extending Measurement Concepts

Understanding and Representing Concepts of Data

Investigating Probability

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Exam 10: Developing Number Operations With Whole Numbers

Modeling the inverse nature of multiplication and divisions might be done by:

Kayla has 15 strawberries. She gives 4 strawberries to each of her 3 friends. How many strawberries are left for Kayla?

Match the number operations with examples related to that operation. John has 3 pets and Sally has 4 pets. How many pets do they have?

Describe two activities you could use to build children's understanding of addition or subtraction.

Subtraction is represented by which four different stories or situations?

Define and give examples for the two types of division.

The problem below is an example of what?Penelope's 40-page stamp book has spaces for 35 stamps on each page. How many stamps can she put in the book?

Explain why division by zero is undefined.

Match the number operations with examples related to that operation. Santino can run to the fence in 55 seconds. Estela can run the distance in 52 seconds. Who is faster?

The problem below is an example of what? Eric has 23 cookies. He has 4 friends coming to his party. How many cookies does each friend get?

Match the number operations with examples related to that operation. Counting by 2s, 3s, 4s, or 7s

Sample Test Items What is the greatest number of 40-cent apples that can be purchased with $5.00?

What roles do the commutative and associative properties play in learning the basic facts?

How should 3 children share 12 cookies equally?

The commutative property may be modeled by:

The problem below is an example of which type of subtraction situation?Shafi has 21 rookie baseball cards, and Bandar has 12 cards. How many more cards does Shafi have than Bandar?

Which number makes the following number sentence true?

The problem below is an example of which type of subtraction situation?Tamar found 18 ballpoint pens in a desk at her house. Eleven were out of ink. How many usable pens did she find?

Use of compatible numbers makes computation easier because children:

Elementary Mathematics for the 21st Century

Defining a Comprehensive Mathematics Program

Mathematics for Every Child

Learning Mathematics

Organizing Effective Instruction

Integrating Assessment

Developing Problem-Solving Strategies

Developing Concepts of Number

Extending Number Concepts and Number Systems

Extending Computational Fluency With Larger Numbers

Developing Understanding of Common and Decimal Fractions

Extending Understanding of Common and Decimal Fractions

Developing Aspects of Proportional Reasoning: Ratio, Proportion, and Percent

Thinking Algebraically

Developing and Extending Geometric Concepts and Systems

Developing and Extending Measurement Concepts

Understanding and Representing Concepts of Data

Investigating Probability

Filters