Equivalents.

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Presentation transcript:

Equivalents

Piaget Concrete Semi-concrete A manipulative Something I can move around and investigate things with Semi-concrete A picture of the things I have been moving around If I have never moved it around before this becomes semi-abstract for me

Piaget Semi-abstract Abstract Symbols or alternate representations for my semi-concrete models Good time to use algebraic thinking with students Abstract Using numbers to represent all parts of the original concrete model

Equivalent Representations Percents Decimals Ratios Fractions 25% = 0.25 = 25/100 = ¼ Need to be able to fill in missing equivalent values on a table

Circle Graph Representations 5/3 12.5% 1.25 All circles contain exactly 100%