 The Visual / Auditory / Symbolic / Kinesthetic Approach to Algebra

## Warmup 1st: Introduce yourself to those around you, your partners.
2nd: Sort the Tiles and Tokens in descending order.
3rd: Think of one topic in which you could use tiles to enhance the presentation.
4th: Share your choice and strategy of presentation with partners.

## Theory  Manipulatives are made to be outgrown. Consider manipulatives as a language.  Introduce with the concrete (manipulative).  Summarize with the abstract (pictures, written and spoken words and symbols). ## Representation A Number , Zero, The Opposite  "Zero In" and "Zero Out" to Simplify. Qu. 1 - 3: Represent then simplify.
1. three 2. three in a way not already used 3. a number 4. double the value of three less than a number Qu. 5 - 6: Prepare to explain out loud
5. how to simplify the given expression. 6. a starting expression, what was done, the final expression for the work below. Qu. 7 - 10: Represent 7. four decreased by a number
8. four increased by a number
9. a number decreased by four
10. double the sum of a number and three Tough Topics to Teach To Improve OPERATION skills, spend more time with REPRESENTATION.

## Operation Subtract by "Signed Number Board,"  by "take away," and by "add the opposite." Multiply and Distribution   Add, Subtract, Simplify, Combine Like Terms Subtract (x+1) - (2x+3)
Simplify (x-4) - (-3x+2)
Simplify (xý +2x-4) - (2xý +3)  Algebraic Division   Factor Factor xý - 4 Factor 2xý-x-6     Evaluate when x is ... and Verify ...  Solve linear equations.
Solve x/4 = 2 Solve -x = -4 Solve 3 + 2x = -1  Solve A Linear Inequality.
Solve -2x > 4.  Solve A Quadratic Solve x² + 5x = -6.   Solve A Proportion. ## Resources Current Tile Set: front back  See termtiles.com for more info.   www. mathnstuff.com/papers/tt1208a.htm www.termtiles.com   © 2008, A. Azzolino