Question 1

Three developmental phases for learning the basic facts are identified below.Which one is the initial phase?

Accepted Answer

A) Drawing strategies. 
B) Counting strategies. 
C) Mastery. 
D) Reasoning strategies. 
A) Drawing strategies. 
B) Counting strategies. 
C) Mastery. 
D) Reasoning strategies. B

Question 2

The reasoning strategies below are used when a student knows a fact and uses that fact to derive the unknown fact EXCEPT:

Accepted Answer

A) Double. 
B) Near Doubles. 
C) Think addition. 
D) Making 10. 
A) Double. 
B) Near Doubles. 
C) Think addition. 
D) Making 10. C

Question 3

Research shows that guiding students to use effective reasoning strategies can help them achieve mastery.Identify the explicit teaching strategy below.

Accepted Answer

A) Memorization of facts. 
B) Guided invention. 
C) Use of known facts and relationships. 
D) Object or verbal counting. 
A) Memorization of facts. 
B) Guided invention. 
C) Use of known facts and relationships. 
D) Object or verbal counting. C

Question 4

Which of the problems below would provide an opportunity for students to apply the use of the Anchor Number reasoning strategy?

Accepted Answer

A) In three weeks we will be going to the zoo.How many days until we go? 
B) Juan has 9 trading cards in his backpack and 6 more cards in his pocket.How many cards does he have altogether? 
C) 4 x 7 = 
D) 13 - 5 = 
A) In three weeks we will be going to the zoo.How many days until we go? 
B) Juan has 9 trading cards in his backpack and 6 more cards in his pocket.How many cards does he have altogether? 
C) 4 x 7 = 
D) 13 - 5 =

Question 5

The _____________property is valuable because it cuts the number of multiplication/addition facts to be learned in half.

Accepted Answer

A) Commutative. 
B) Associative. 
C) Zero. 
D) Distributive. 
A) Commutative. 
B) Associative. 
C) Zero. 
D) Distributive.

Question 6

Complete this statement,"Games can support basic fact fluency because..".

Accepted Answer

A) They can be more engaging for high performing students than other forms of practice. 
B) They provide competition like timed tests. 
C) They are more appealing to ELL and students with disabilities. 
D) They infuse reasoning strategies and encourage students to self-monitor. 
A) They can be more engaging for high performing students than other forms of practice. 
B) They provide competition like timed tests. 
C) They are more appealing to ELL and students with disabilities. 
D) They infuse reasoning strategies and encourage students to self-monitor.

Question 7

Identify the reasoning strategy that would work for multiplication and division facts.

Accepted Answer

A) Double and doubles plus one. 
B) Arrays. 
C) Down under ten. 
D) Combinations of 10. 
A) Double and doubles plus one. 
B) Arrays. 
C) Down under ten. 
D) Combinations of 10.

Question 8

Identify and discuss three teaching recommendations that support students' development to mastery of basic facts.

Accepted Answer

Identify a

Question 9

Supporting older students who still struggle with basic facts can be done through the following steps EXCEPT:

Accepted Answer

A) Provide hope and build in success. 
B) Inventory known and unknown facts. 
C) Drill to strengthen memory and retrieval capabilities. 
D) Provide engaging activities. 
A) Provide hope and build in success. 
B) Inventory known and unknown facts. 
C) Drill to strengthen memory and retrieval capabilities. 
D) Provide engaging activities.

Question 10

Discuss two or more reasons to approach multiplication facts through the foundational facts 2,5,0,1.

Accepted Answer

Foundational facts build on students' st

Question 11

Three of the reasons below support why using timed tests is not effective for student mastery of basic facts.Identify the one that supports the use of reasoning strategies.

Accepted Answer

A) More student-to-student interaction. 
B) Does not assess four elements of fluency. 
C) More meaningful time spent on other learning. 
D) Does not affect student number sense. 
A) More student-to-student interaction. 
B) Does not assess four elements of fluency. 
C) More meaningful time spent on other learning. 
D) Does not affect student number sense.

Question 12

All of the following are recommendations that can support students' ability to quickly recall basic facts EXCEPT:

Accepted Answer

A) Drilling activities during mathematics instruction. 
B) Involving families. 
C) Using technology. 
D) Encouraging students to self-monitor. 
A) Drilling activities during mathematics instruction. 
B) Involving families. 
C) Using technology. 
D) Encouraging students to self-monitor.

Question 13

Story problems can provide a valuable context to help students apply reasoning strategies for computation for all of the reasons EXCEPT:

Accepted Answer

A) Provides relevance to student's life. 
B) Become better problem solvers. 
C) Practice basic facts in the story. 
D) Become proficient with algorithms. 
A) Provides relevance to student's life. 
B) Become better problem solvers. 
C) Practice basic facts in the story. 
D) Become proficient with algorithms.

Question 14

The reasoning strategies listed below are effective to help students learn the difficult facts EXCEPT:

Accepted Answer

A) Doubling. 
B) Close Facts. 
C) Arrays. 
D) Double and one more set. 
A) Doubling. 
B) Close Facts. 
C) Arrays. 
D) Double and one more set.

Question 15

Using a clock to learn basic facts is appropriate for what strategy?

Accepted Answer

A) Nifty nines. 
B) Foundational facts. 
C) Down under 10. 
D) Think addition. 
A) Nifty nines. 
B) Foundational facts. 
C) Down under 10. 
D) Think addition.

Question 16

The following statements below are effective for teaching the basic facts EXEPT:

Accepted Answer

A) Ask students to self-monitor. 
B) Work on facts over time. 
C) Practice in longer time frames. 
D) Use technology. 
A) Ask students to self-monitor. 
B) Work on facts over time. 
C) Practice in longer time frames. 
D) Use technology.

Question 17

Despite the fact that many learners in the past learned basic facts from memorization,there is strong evidence that this may not be the most effective strategy for all of the following reasons EXCEPT:

Accepted Answer

A) Many facts to memorize,and it's an inefficient process. 
B) When facts are memorized,students are less likely to check their work. 
C) Counting by ones is inefficient,students delay developing efficient reasoning strategies. 
D) Students are motivated when they are assessed with timed tests. 
A) Many facts to memorize,and it's an inefficient process. 
B) When facts are memorized,students are less likely to check their work. 
C) Counting by ones is inefficient,students delay developing efficient reasoning strategies. 
D) Students are motivated when they are assessed with timed tests.

Question 18

The statements below would assist students in thinking about how to solve 42 ÷ 7 EXCEPT.

Accepted Answer

A) Seven times what is forty-two? 
B) 7 x __ = 42 
C) What are the factors of 42? 
D) 7 + 7 + 7 + 7 + 7 + 7 + 7 
A) Seven times what is forty-two? 
B) 7 x __ = 42 
C) What are the factors of 42? 
D) 7 + 7 + 7 + 7 + 7 + 7 + 7

Question 19

When assessing basic fact fluency identify an interview probe you could use to identify a student's efficiency.

Accepted Answer

A) Is this a good strategy? 
B) Which pile of cards shows the facts you just know and which one shows the ones you used a strategy? 
C) How do you know this is correct? 
D) Can you show me another strategy you could use? 
A) Is this a good strategy? 
B) Which pile of cards shows the facts you just know and which one shows the ones you used a strategy? 
C) How do you know this is correct? 
D) Can you show me another strategy you could use?

Question 20

Bowl a fact uses dice and numbered circles in bowling pin formation.If a student rolled a 5,3 and 6.What equation would knock out the least number of bowling pins?

Accepted Answer

A) 5 + 3 - 6 = 
B) 6 x 5 x 3 = 
C) 6 + 5 + 3 = 
D) 5 x 3 + 6 = 
A) 5 + 3 - 6 = 
B) 6 x 5 x 3 = 
C) 6 + 5 + 3 = 
D) 5 x 3 + 6 =

Exam 10: Helping Students Master the Basic Facts

Three developmental phases for learning the basic facts are identified below.Which one is the initial phase?

The reasoning strategies below are used when a student knows a fact and uses that fact to derive the unknown fact EXCEPT:

Research shows that guiding students to use effective reasoning strategies can help them achieve mastery.Identify the explicit teaching strategy below.

Which of the problems below would provide an opportunity for students to apply the use of the Anchor Number reasoning strategy?

The _____________property is valuable because it cuts the number of multiplication/addition facts to be learned in half.

Complete this statement,"Games can support basic fact fluency because..".

Identify the reasoning strategy that would work for multiplication and division facts.

Identify and discuss three teaching recommendations that support students' development to mastery of basic facts.

Supporting older students who still struggle with basic facts can be done through the following steps EXCEPT:

Discuss two or more reasons to approach multiplication facts through the foundational facts 2,5,0,1.

Three of the reasons below support why using timed tests is not effective for student mastery of basic facts.Identify the one that supports the use of reasoning strategies.

All of the following are recommendations that can support students' ability to quickly recall basic facts EXCEPT:

Story problems can provide a valuable context to help students apply reasoning strategies for computation for all of the reasons EXCEPT:

The reasoning strategies listed below are effective to help students learn the difficult facts EXCEPT:

Using a clock to learn basic facts is appropriate for what strategy?

The following statements below are effective for teaching the basic facts EXEPT:

Despite the fact that many learners in the past learned basic facts from memorization,there is strong evidence that this may not be the most effective strategy for all of the following reasons EXCEPT:

The statements below would assist students in thinking about how to solve 42 ÷ 7 EXCEPT.

When assessing basic fact fluency identify an interview probe you could use to identify a student's efficiency.

Bowl a fact uses dice and numbered circles in bowling pin formation.If a student rolled a 5,3 and 6.What equation would knock out the least number of bowling pins?

Teaching Mathematics in the 21st Century

Exploring What It Means to Know and Do Mathematics

Teaching Through Problem Solving

Planning in the Problem-Based Classroom

Building Assessment Into Instruction

Teaching Mathematics Equitably to All Children

Using Technology Tools to Teach Mathematics

Developing Early Number Concepts and Number Sense

Developing Meanings for the Operations

Developing Whole-Number Place-Value Concepts

Developing Strategies for Addition and Subtraction Computation

Developing Strategies for Multiplication and Division Computation

Algebraic Thinking, equations, and Functions

Developing Fraction Concepts

Developing Strategies for Fraction Computation

Developing Concepts of Fractions and Decimals

Proportional Reasoning

Developing Measurement Concepts

Geometric Thinking and Geometric Concepts

Developing Concepts of Data Analysis

Exploring Concepts of Probability

Developing Concepts of Exponents, integers, and Real Numbers

Filters