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McREL Standards Activity


Taking Numbers Personally


Purpose:As a result of this activity, students will be able to understand and manipulate different representations of numbers.
Related Standard & Benchmarks:
Mathematics
 Standard 2.Understands and applies basic and advanced properties of the concepts of numbers
   Level I [Grade K-2]
   Benchmark 1. Understands that numerals are symbols used to represent quantities or attributes of real-world objects
Mathematics
 Standard 2.Understands and applies basic and advanced properties of the concepts of numbers
   Level I [Grade K-2]
   Benchmark 3. Understands symbolic, concrete, and pictorial representations of numbers (e.g., written numerals, objects in sets, number lines)
Mathematics
 Standard 3.Uses basic and advanced procedures while performing the processes of computation
   Level I [Grade K-2]
   Benchmark 1. Adds and subtracts whole numbers
Mathematics
 Standard 1.Uses a variety of strategies in the problem-solving process
   Level I [Grade K-2]
   Benchmark 1. Draws pictures to represent problems
Student Product:Modeled problems
Material & Resources:Cards prepared beforehand; see below
Teacher's Note:No supplementary notes for this activity.
Activity
Before class, prepare cards (preferably big enough to stand out across a classroom) which depict different representations for the numerals 0-9, one representation and one number per card. Representations to create include the numeral, that number of small objects glued on the card, and the number on a number line. Make enough cards so that each student has one and there are at least two representations of each number. In class, give each student a card. To familiarize them with the cards and for practice, call out different patterns for them to group themselves in. For example, you may request that each number group together, that everyone line up or down in order, that each type of representation group together, etc. Additionally you may request that they switch cards after each pattern so that the students can try out a new number. For practice with simple addition and subtraction facts, write equations on the board (e.g., 5 + 3 = _ ) and request all the "correct" students to stand up, again switching cards every few iterations. The gradeable product varies slightly with the grade of the students. For kindergarten students, have them draw or paste pictures of objects on paper to represent a value you assign them (a good value would be their age). For first and second-graders, have them create a simple story problem which focuses around a simple addition or subtraction fact. They then should write out the computation fact using both numerals and pictures of the objects used in the problem.