2. 1. Composing and Decomposing 2. Representing relationships to other numbers 3. Representing mathematic in the world 4. Using models

3. 1. Use of relative magnitude or less than/greater than 2. Use of mathematical vocabulary 3. Use of computation to provide clues 4. Use of necessary, detailed, and/or specific clues

4. Alike: Different:

5. Locate a number on a number line. (17) 10 17 20 Determine the number being indicated by the arrow (17) Explain you answer. 10 30 How I know: ____________________________________

6. Subitizing— ‘to instantly see how many or identify attributes.’ What is it? How do you know? Perceptual and Conceptual

7. out in InOut 247247 6 12 21 Step 1: Use one mathematical process. Step 2: Use two mathematical processes. + - x / Look for a pattern. Express rules symbolically and verbally

8. 3 Levels of van Hiele’s Model of Geometric Thought Level 1: Reasoning by Resemblance Level 2: Reasoning by Attributes Level 3: Reasoning by Properties Mathematical Explanation  Has a clear purpose.  Has a logical structure.  Uses representations and language clearly and carefully.  Focuses on meaning and is geared to the learner.