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Thinking About Numbers from One to Ten

Unit Plan

Thinking About Numbers from One to Ten

Objectives

Through a variety of different number experiences students will gain a deeper understanding of number-sense concepts. Students will:

  • see a one-to-one correspondence between objects and numbers when counting.
  • recognize the relationship between a number and the quantities that are one and two more.
  • recognize the relationship between a number and the quantities which are one and two less.
  • recognize visual patterns of objects representing a number without counting.
  • use the numbers 5 and 10 as benchmarks to think about number relationships, such as 7 is 2 more than 5 and 3 is less than 10.
  • compose and decompose numbers by parts.
  • use numbers, including written numerals, to represent quantities.
  • solve quantitative problems, such as counting objects in a set.
  • create a set with a given number of objects.
  • compare and order sets or numerals using both cardinal and ordinal meanings.

Essential Questions

How can mathematics support effective communication?
How can patterns be used to describe relationships in mathematical situations?
How is mathematics used to quantify, compare, represent, and model numbers?
What does it mean to estimate or analyze numerical quantities?
What makes a tool and/or strategy appropriate for a given task?
When is it is appropriate to estimate versus calculate?
  • How do we know which number is larger (smaller)?
  • What happens when I take a group of numbers (objects) apart or put them together?

Related Unit and Lesson Plans

Related Materials & Resources

The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.


Formative Assessment

  • View

    (This assessment should be read aloud to students.)

    Short-Answer Items:

    1. Count the number of blocks. Circle the number of blocks in the stack. 

     

       

    1. Count the number of fish in the tank. Circle the number that shows the total number of fish.

     

     

     

     

    3. Circle the group that shows 7 crayons.

     

     

     

     

    4.  Draw 6 circles in the ten-frame.

     

     


     

     

    5. Draw a line to match each number to a set.

     

     

     

     

     

    6.

     

    4 raisins and 3 raisins is the same as   raisins.

     

     

     

    7. What number does the ten-frame show? ________

     

     

     

    8. Color in boxes to show 1 more than 6 apples.

     

     

     

    9.  

     

     

     _______ stars and _______ stars is the same as ______ stars.

     

     

     

     

     

    10.  0 and _______ is the same as 4.

     

     

     

     

     

    11. Two less than the number shown by the counters is ________.

     

     

     

     

     

     

    12.

     

    3 kites and ________ kites is the same as 5 kites.

     

     

    If one kite blew away there would be _______kites left.

     

    Short-Answer Key:

    1. Count the number of blocks. Now circle the number of blocks in the stack.  

        

     

    2. Count the number of fish in the tank. Circle the number that shows the total number of fish.

     

     

    3. Circle the group that shows 7 crayons.

     

     

     

     

           

    4.  Draw 6 circles in the ten-frame.

     

     

    5. Draw a line to match each number to a set.

     

     

     

     

    6.

     

     

     

    4 raisins and 3 raisins is the same as     raisins.

     

     

     

     

    7. What number does the ten-frame show?   6

     

     

     

    8. Color in boxes to show 1 more than 6 apples.

     

     

     

     

     

    9.

     

     

     

     

     

     

     

    10.  0 and  is the same as 4.

     

     

    11. Two less than the number shown by the counters is 

     

     

     

     

    12.

     

    3 kites and  kites is the same as 5 kites.

     

     

    If one kite blew away there would be   kites left.

     

     

     

    Performance Assessment:

    Materials:

     

    Directions: Use the Assessment Recording Sheet to record students’ answers.

     

    1. Ask students to pull a number card from a bowl/bag. The number represents how many dogs they have.

    or

    Give each student a number of dogs based upon the number you want to assess.

    Write the number on the Assessment Recording Sheet.

    1. Have students use counters to represent the number of dogs on a ten-frame.

    Circle YES if the student correctly represents the number.

    Circle NO if the student does not represent the number correctly.

    1. Ask the student to count the counters on the ten-frame out loud.

    Circle YES if the student correctly counts the number of counters.

    Circle NO if the student does not count the number correctly.

    1. Ask students to represent the number of dogs in another way. They can represent it differently on the ten-frame, take the counters off the ten-frame and group them, make two groups with the counters, etc.

    Circle YES if the student correctly represents the number another way.

    Circle NO if the student does not represent the number another way.

    1. Animal Spill (see directions for Animal Spill in Lesson 3).                           

    Give the student a story board and six to ten counters. Have students shake and spill the counters onto the story mat. Students look to see how many animals are on/off the picture. Have students tell you how the number is represented.                        

    Example:                                                                                                                            Student verbally completes the phrase “____ and ____ is the same as ____.” 

    Record the information. Use the Assessment Recording Sheet to record students’ performance (M-K-1_Performance Assessment Materials.doc).

    1. Use your notes on the Assessment Recording Sheet and any other observations to assign a score using the Performance Assessment Scoring Rubric.

    Performance Assessment Key and Scoring Rubric:

    Assessment Recording Sheet and Completed Sample:

     

     

     

    Name ___________________ Date _______

     

    Number _______

     

    Organizes on ten-frame            Yes No

     

    Counts correctly                 Yes No

     

    Represents number another way     Yes No

     

    Uses ____ counters for Animal Spill

    Responds correctly for Animal Spill Yes No

     

     

    Teacher draws dots to represent student spill

    Student response: ___ and ___ is the same as ___

    OR

    Other response:

     

     

     

     

     

    Points

    Description

    4

    • Mathematical responses are all correct in all five parts.
    • Number representations are correctly and clearly displayed.
    • Student demonstrates thorough understanding of the number concepts.

    3

    • Mathematical responses are correct in four of the five parts.
    • Number representations are generally correct but not completely clear.
    • Student demonstrates good understanding of the number concepts.
    • Student meets all problem requirements.

    2

    • Mathematical responses are correct in two or three of the five parts.
    • Number representations are provided but have some errors in logic or lack of detail.
    • Student demonstrates fair understanding of the number concepts with minor errors.
    • Student meets most problem requirements.

    1

    • Mathematical responses have two or more major errors or minor errors in most parts.
    • Number representations are attempted but are mostly illogical or lacking clarity.
    • Student demonstrates limited understanding of the number concepts.
    • Student does not meet most problem requirements.

    0

    • Mathematical responses are all incorrect or incomplete.
    • Number representations are completely incorrect or not attempted.
    • Student demonstrates no understanding of the number concepts.
    • Student does not meet problem requirements.
Final 4/18/14
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