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Chapter 11

Quiz by Nina Weisling

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15 questions
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  • Q1
    What are compatible pairs in​ addition?
    Numbers that add or subtract without regrouping
    Numbers that are even
    Numbers that have the same number of digits
    Numbers that easily combine to equal benchmark numbers
  • Q2
    When adding 10 on a hundreds​ chart, the most efficient strategy that demonstrates place value understanding is​ to:
    move to the left 10 spaces.
    move to the right 10 spaces.
    move down one row directly below the number.
    move up one row directly above the number.
  • Q3
    Invented strategies​ are:
    ​digit-oriented rather than​ number-oriented.
    generally slower than standard algorithms.
    the basis for mental computation and estimation.
    ​"right-handed" rather than​ "left-handed" (students start on the​ right).
  • Q4
    The following statements are true about the benefits of invented strategies except​:
    more teaching is required.
    are faster than the standard algorithm.
    basis for mental computation and estimation.
    students develop number sense.
  • Q5
    Algorithms should have the following characteristics. Which of the follow does not​ belong?
    Efficiency​ (effective approach)
    Series of steps​ (memorized)
    Transparency​ (process is​ understood)
    Reliability​ (correct answer if carried out​ properly)
  • Q6
    Which of the following is not a common type of invented strategy for addition and subtraction​ situations?
    Shortcut strategy
    High-Low strategy
    Jump strategy
    Split strategy
  • Q7
    Which of the following is a common model to support invented​ strategies?
    Sentence strip
    Hundreds chart
    Open number line
  • Q8
    Think addition to solve a subtraction story would be effective for three of these problems. Which of the following would not be​ efficient?
    Lynn had some pencils and she decided to sharpen 32 of​ them, she has 63 of sharpened and not sharpened altogether. How many are not​ sharpened?
    Lynn had a collection of 52 pencil and she gave 6 of them to her best friend. How many pencils does she have​ now?
    Lynn gave some of her pencil collection to the teacher for use as extra pencils. She counted 52 pencils before giving them away. Now she has​ 43, how many did she give to the​ teacher?
    Lynn had a collection of 52 pencils. She traded for more pencil with a friend and now she has 63. How many did she obtain in her​ trade?
  • Q9
    Which of the following instructional activities would be an important component of a lesson on addition with​ regrouping?
    Reviewing the concept of greater than and less than
    Using​ base-ten materials to model the problem
    Adding basic facts with sums to ten
    Demonstrating the commutative property of addition
  • Q10
    Each of the models below is an effective tool to support invented strategies for addition and subtraction except​:
    virtual​ base-ten blocks.
    bar diagrams.
    chunking off.
    open number line.
  • Q11
    Computational estimation refers to which of the​ following?
    Substituting close compatible numbers for​ difficult-to-handle numbers so that computations can be done mentally
    A guess of what an answer could be
    Approximating the number of items in a collection
    Determining an approximate measure without making an exact measurement
  • Q12
    When teaching computational​ estimation, it is important​ to:
    explain that there is one best way to estimate.
    point out in a class discussion the students who are the farthest​ "off."
    declare that the child with the closest estimate is the​ winner, as a motivation tool.
    accept a range of reasonable answers.
  • Q13
    To find 63 - 46​, Joe began by finding 6 - 4 and then 6 - 3 and wrote 23 as the answer. How would you​ respond?
    ​Joe's method is correct because he subtracted the tens from the tens and the ones from the ones.​ Therefore, Joe got the correct answer.
    Joe should use the​ equal-additions algorithm and base ten blocks to help him with his subtraction.
    Joe should use the scratch method to help him with his subtraction.
    ​Joe's method is correct because he subtracted the tens from the tens and the ones from the ones.​ However, he made a mistake in his subtraction and got an incorrect answer.
  • Q14
    In new math​ textbooks, there is an emphasis on mental mathematics and estimation. Explain why these topics are important for​ today's students.
    Mental math and estimation are needed in order to pay bills at various businesses.
    Mental math and estimation help students to know whether answers that appear on their calculators are reasonable.
    Mental math and estimation help with teaching place value.
    Mental math and estimation helps students to perform calculations more precisely.
  • Q15
    Is the​ front-end estimate for addition before adjustment always less than the exact​ sum? Explain why or why not. Choose the correct response below.
    The​ front-end estimation is always more than the exact sum because an adjustment is usually needed.
    The​ front-end estimation is almost always less than the exact sum because an adjustment is usually needed. The only case where the estimation is the exact sum is when all of the​ front-end numbers are followed by zeros.
    The​ front-end estimation is always the exact sum because the adjustments cancel the trailing digits.
    The​ front-end estimation is always less than the exact sum because an adjustment is always needed.

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