 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