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Base Blocks
reviewed by Liz




                  Base-ten virtual
                  manipulatives
                  allow students
                  to compose
                  numbers, deco
                  mpose and
                  regroup using
                  base-ten blocks.
How the applet works
 Applet contains base-ten blocks and generates a number for
  students to construct using the blocks.
   Students click on the block at the top of the column
    (100s, 10s, 1s) and the manipulative appears in the column
    below.
   Manipulatives can be moved to the column to the right
    and will be broken down (e.g. a flat into ten longs,) or can
    be lassoed into a larger group and moved to the left.

 Students can explore various ways to use the blocks to
  construct the number – can add up to get to the number, or
  can start with a larger block and break it down (subtraction)
  to arrive at the number.
Analysis
           Strengths                           Weaknesses
Includes clear instructions for use, as Instructions may need to be
well as link to information for         explained to younger users.
teachers/parents.
                                      Counts number of blocks
Is student-friendly. Students can     represented, but does not give a
work independently on the site.       sign to indicate when student has
                                      the correct response.
Number of places can be increased
or decreased depending on            Rods need to be lined up fairly
instructional level of students.     specifically in order to be lassoed
                                     into a flat. May be challenging for
Includes options for exploring other younger users, or users may spend
bases – e.g. base-five, as well as   too much time trying to line up
decimals.                            correctly.

                                      Does not construct problems, so
                                      usage may be limiting after a
                                      certain point.
Evaluation of applet
 Applet is easy to use, without a lot of “bells and whistles” to
  distract from student learning.

 Includes online instructions for use that are easily accessible in
  a sidebar so students can read directions while applet is
  open.

 However, instructions are written for an older (mid-primary
  and above) audience, and verbal directions will need to be
  given for younger users and some English-language learners.

 Applet is associated with a reputable educational
  organization – The National Library for Virtual Manipulatives.

 Applet is designed for independent student exploration or
  teacher-directed activities.

 Applet can provide varying levels of challenge by changing
  the base, the number of places, or the decimal place.
A Problem-Based Task
Task:

 Using the base-ten blocks, construct the number 437 as
  many ways as possible. Record your methods on paper.

Connection to the standards and/or big ideas:

Grades 3–5 Expectations:

 In grades 3–5 all students should-
   Understand the place-value structure of the base-ten number
    system and be able to represent and compare whole numbers
    and decimals
   Recognize equivalent representations for the same number
    and generate them by decomposing and composing numbers
Questions to Ask to Assess
and Advance Student
Thinking
Launch

 Task Set-Up:
   What are some examples of different groupings of base-ten blocks
    we can expect to see that will construct the number 437?

Explore

 During Task Implementation:
   Using the base-ten applet, what are some possible strategies we
    can use to arrive at 437?

Summarize

 As students share findings, strategies, reasoning, etc.:
   What did you discover as you were exploring different strategies?
    What groupings made the most sense to you?
   Did different groupings of blocks make it easier or more challenging
    to construct and visualize 437? Why, or why not?

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Base blocks

  • 1. Base Blocks reviewed by Liz Base-ten virtual manipulatives allow students to compose numbers, deco mpose and regroup using base-ten blocks.
  • 2. How the applet works  Applet contains base-ten blocks and generates a number for students to construct using the blocks.  Students click on the block at the top of the column (100s, 10s, 1s) and the manipulative appears in the column below.  Manipulatives can be moved to the column to the right and will be broken down (e.g. a flat into ten longs,) or can be lassoed into a larger group and moved to the left.  Students can explore various ways to use the blocks to construct the number – can add up to get to the number, or can start with a larger block and break it down (subtraction) to arrive at the number.
  • 3. Analysis Strengths Weaknesses Includes clear instructions for use, as Instructions may need to be well as link to information for explained to younger users. teachers/parents. Counts number of blocks Is student-friendly. Students can represented, but does not give a work independently on the site. sign to indicate when student has the correct response. Number of places can be increased or decreased depending on Rods need to be lined up fairly instructional level of students. specifically in order to be lassoed into a flat. May be challenging for Includes options for exploring other younger users, or users may spend bases – e.g. base-five, as well as too much time trying to line up decimals. correctly. Does not construct problems, so usage may be limiting after a certain point.
  • 4. Evaluation of applet  Applet is easy to use, without a lot of “bells and whistles” to distract from student learning.  Includes online instructions for use that are easily accessible in a sidebar so students can read directions while applet is open.  However, instructions are written for an older (mid-primary and above) audience, and verbal directions will need to be given for younger users and some English-language learners.  Applet is associated with a reputable educational organization – The National Library for Virtual Manipulatives.  Applet is designed for independent student exploration or teacher-directed activities.  Applet can provide varying levels of challenge by changing the base, the number of places, or the decimal place.
  • 5. A Problem-Based Task Task:  Using the base-ten blocks, construct the number 437 as many ways as possible. Record your methods on paper. Connection to the standards and/or big ideas: Grades 3–5 Expectations:  In grades 3–5 all students should-  Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals  Recognize equivalent representations for the same number and generate them by decomposing and composing numbers
  • 6. Questions to Ask to Assess and Advance Student Thinking Launch  Task Set-Up:  What are some examples of different groupings of base-ten blocks we can expect to see that will construct the number 437? Explore  During Task Implementation:  Using the base-ten applet, what are some possible strategies we can use to arrive at 437? Summarize  As students share findings, strategies, reasoning, etc.:  What did you discover as you were exploring different strategies? What groupings made the most sense to you?  Did different groupings of blocks make it easier or more challenging to construct and visualize 437? Why, or why not?