Question 1

The pattern below is referred to as what?
1, 8, 27, 64, …

Accepted Answer

A) square numbers 
B) cubic numbers 
C) Fibonacci numbers 
D) pyramidal numbers 
A) square numbers 
B) cubic numbers 
C) Fibonacci numbers 
D) pyramidal numbers B

Question 2

What is the correct domain and range for the function below?
3 n 2 - 2

Accepted Answer

A) D = {0, 1, 2} R = {−2, 1, 34} 
B) D = {3, 5, 7} R = {25, 223, 339} 
C) D = {2, 3, 6} R = {10, 25, 106} 
D) D = {1, 4, 7} R = {1, 46, 149} 
A) D = {0, 1, 2} R = {−2, 1, 34} 
B) D = {3, 5, 7} R = {25, 223, 339} 
C) D = {2, 3, 6} R = {10, 25, 106} 
D) D = {1, 4, 7} R = {1, 46, 149} D

Question 3

Variable as a theme in algebra refers to:

Accepted Answer

A) finding a pattern of numbers. 
B) showing the relationship between numbers. 
C) a numerical representation having many possible values. 
D) two numerical representations having the same value. 
A) finding a pattern of numbers. 
B) showing the relationship between numbers. 
C) a numerical representation having many possible values. 
D) two numerical representations having the same value. C

Question 4

Solve for n in the equation below.
3 n + 6 = n + 8 + 2 n - 2

Accepted Answer

A) n = 2 
B) n = 3 
C) n = all values 
D) no solution 
A) n = 2 
B) n = 3 
C) n = all values 
D) no solution

Question 5

TIMSS: n is a number. When n is multiplied by 7 and then 6 is added, the result is 41. Which of these equations represents this relation?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 6

What is the major difference in the role that the variable plays in the equation 6 x = 30 and the inequality 6 x > 30? What difficulties do children have with respect to the inequality?

Accepted Answer

The major difference in the role that th

Question 7

The pattern below is associated with which function?
1, 2, 4, 8, 16, 32, …

Accepted Answer

A) 2 n 
B) 2 n + 1 
C) 2 n 
D) 2 n − 1 
A) 2 n 
B) 2 n + 1 
C) 2 n 
D) 2 n − 1

Question 8

When teaching patterns to young children, teachers should emphasize:

Accepted Answer

A) finding, extending, and making different patterns. 
B) limiting instruction to one or two examples to decrease confusion. 
C) limiting instruction to only those patterns children are likely to be familiar with. 
D) the algebraic aspect of patterning. 
A) finding, extending, and making different patterns. 
B) limiting instruction to one or two examples to decrease confusion. 
C) limiting instruction to only those patterns children are likely to be familiar with. 
D) the algebraic aspect of patterning.

Question 9

Functions can be represented in all of the following ways except :

Accepted Answer

A) as input/output machines. 
B) as tables of values. 
C) as rate tables. 
D) as inequalities. 
A) as input/output machines. 
B) as tables of values. 
C) as rate tables. 
D) as inequalities.

Question 10

Given an equation such as x + y = 18, children determine that the ordered pair (9, 9)is not possible. The most likely reason for this is:

Accepted Answer

A) they don't think that x and y can be the same number, since the variables are different. 
B) they are incapable of thinking of this pair or any other ordered pair because they are not yet thinking abstractly. 
C) they think that the ordered pair (10, 8)is the only possible answer. 
D) they don't understand the role of the equal sign. 
A) they don't think that x and y can be the same number, since the variables are different. 
B) they are incapable of thinking of this pair or any other ordered pair because they are not yet thinking abstractly. 
C) they think that the ordered pair (10, 8)is the only possible answer. 
D) they don't understand the role of the equal sign.

Question 11

Suppose you wanted to teach children to solve equations, and you have the following examples: 
8 - t = 2 
x + 3 = 7 
___ + 5 = 6 
6 + r = 13 
m - 4 = 5 
Place the equations in the order you think would be best in order for the children to understand the concept of equations. Explain your decision.

Accepted Answer

I would place the equations in the follo

Question 12

4 y

Accepted Answer

A) a true open sentence. 
B) a false open sentence. 
C) an inequality with infinite numbers of values for y . 
D) an equation which is true when y 
A) a true open sentence. 
B) a false open sentence. 
C) an inequality with infinite numbers of values for y . 
D) an equation which is true when y

Question 13

What is the next term in the pattern below?
A, d, g, j…

Accepted Answer

A) k 
B) n 
C) l 
D) m 
A) k 
B) n 
C) l 
D) m

Question 14

A newspaper carrier was offered the chance to earn $0.01 on the first day of a month, $0.02 on the second day, and so forth doubling every day. How much did the carrier get paid at the end of the second week?

Accepted Answer

A) about $160.00 
B) about $20.00 
C) about $40.00 
D) about $80.00 
A) about $160.00 
B) about $20.00 
C) about $40.00 
D) about $80.00

Question 15

What are the next three numbers in the pattern below?
2, 6, 12, 20, 30, …

Accepted Answer

A) 44, 52, 64 
B) 40, 50, 60 
C) 42, 54, 63 
D) 42, 56, 72 
A) 44, 52, 64 
B) 40, 50, 60 
C) 42, 54, 63 
D) 42, 56, 72

Question 16

The pattern below is called the Fibonacci sequence. What is the next term in the pattern?
1, 1, 2, 3, 5, 8, …

Accepted Answer

A) 11 
B) 13 
C) 12 
D) 14 
A) 11 
B) 13 
C) 12 
D) 14

Question 17

The series below is composed of triangular number. What is the next term in the series?
1, 3, 6, 10, …

Accepted Answer

A) 14 
B) 13 
C) 15 
D) 16 
A) 14 
B) 13 
C) 15 
D) 16

Question 18

Young children can best learn about functions in all of the following ways except for :

Accepted Answer

A) exploring function relationships. 
B) working with the definition of functions. 
C) solving function problems. 
D) applying functions to real-life situations. 
A) exploring function relationships. 
B) working with the definition of functions. 
C) solving function problems. 
D) applying functions to real-life situations.

Question 19

Teacher Licensing Examination Questions
Praxis: If 4 x − 3( x + 1)= 5, what is the value of x ?

Accepted Answer

A) 2 
B) 4 
C) 6 
D) 8 
A) 2 
B) 4 
C) 6 
D) 8

Question 20

Using patterns, what is the number of diagonals in an undecagon (11 sides)?

Accepted Answer

A) 40 
B) 42 
C) 44 
D) 46 
A) 40 
B) 42 
C) 44 
D) 46

The pattern below is referred to as what? 1, 8, 27, 64, …

What is the correct domain and range for the function below? 3 n ² - 2

Variable as a theme in algebra refers to:

Solve for n in the equation below. 3 n + 6 = n + 8 + 2 n - 2

TIMSS: n is a number. When n is multiplied by 7 and then 6 is added, the result is 41. Which of these equations represents this relation?

What is the major difference in the role that the variable plays in the equation 6 x = 30 and the inequality 6 x > 30? What difficulties do children have with respect to the inequality?

The pattern below is associated with which function? 1, 2, 4, 8, 16, 32, …

When teaching patterns to young children, teachers should emphasize:

Functions can be represented in all of the following ways except :

Given an equation such as x + y = 18, children determine that the ordered pair (9, 9)is not possible. The most likely reason for this is:

Suppose you wanted to teach children to solve equations, and you have the following examples: 8 - t = 2 x + 3 = 7 ___ + 5 = 6 6 + r = 13 m - 4 = 5 Place the equations in the order you think would be best in order for the children to understand the concept of equations. Explain your decision.

4 y

What is the next term in the pattern below? A, d, g, j…

A newspaper carrier was offered the chance to earn $0.01 on the first day of a month, $0.02 on the second day, and so forth doubling every day. How much did the carrier get paid at the end of the second week?

What are the next three numbers in the pattern below? 2, 6, 12, 20, 30, …

The pattern below is called the Fibonacci sequence. What is the next term in the pattern? 1, 1, 2, 3, 5, 8, …

The series below is composed of triangular number. What is the next term in the series? 1, 3, 6, 10, …

Young children can best learn about functions in all of the following ways except for :

Teacher Licensing Examination Questions Praxis: If 4 x − 3( x + 1)= 5, what is the value of x ?

Using patterns, what is the number of diagonals in an undecagon (11 sides)?

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

Developing Number Operations With Whole Numbers

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

Developing and Extending Geometric Concepts and Systems

Developing and Extending Measurement Concepts

Understanding and Representing Concepts of Data

Investigating Probability

Filters

Exam 15: Thinking Algebraically

The pattern below is referred to as what? 1, 8, 27, 64, …

What is the correct domain and range for the function below? 3 n 2 - 2

Variable as a theme in algebra refers to:

Solve for n in the equation below. 3 n + 6 = n + 8 + 2 n - 2

TIMSS: n is a number. When n is multiplied by 7 and then 6 is added, the result is 41. Which of these equations represents this relation?

What is the major difference in the role that the variable plays in the equation 6 x = 30 and the inequality 6 x > 30? What difficulties do children have with respect to the inequality?

The pattern below is associated with which function? 1, 2, 4, 8, 16, 32, …

When teaching patterns to young children, teachers should emphasize:

Functions can be represented in all of the following ways except :

Given an equation such as x + y = 18, children determine that the ordered pair (9, 9)is not possible. The most likely reason for this is:

Suppose you wanted to teach children to solve equations, and you have the following examples: 8 - t = 2 x + 3 = 7 ___ + 5 = 6 6 + r = 13 m - 4 = 5 Place the equations in the order you think would be best in order for the children to understand the concept of equations. Explain your decision.

4 y

What is the next term in the pattern below? A, d, g, j…

A newspaper carrier was offered the chance to earn $0.01 on the first day of a month, $0.02 on the second day, and so forth doubling every day. How much did the carrier get paid at the end of the second week?

What are the next three numbers in the pattern below? 2, 6, 12, 20, 30, …

The pattern below is called the Fibonacci sequence. What is the next term in the pattern? 1, 1, 2, 3, 5, 8, …

The series below is composed of triangular number. What is the next term in the series? 1, 3, 6, 10, …

Young children can best learn about functions in all of the following ways except for :

Teacher Licensing Examination Questions Praxis: If 4 x − 3( x + 1)= 5, what is the value of x ?

Using patterns, what is the number of diagonals in an undecagon (11 sides)?

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

Developing Number Operations With Whole Numbers

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

Developing and Extending Geometric Concepts and Systems

Developing and Extending Measurement Concepts

Understanding and Representing Concepts of Data

Investigating Probability

Filters

What is the correct domain and range for the function below? 3 n ² - 2