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
• "Five Decreased by a Number" Vs. "A Number Decreased by Five"
• Of: The Opposite of …, Two Of …, The Square Of …
• "The Other Number If The Sum Of Two Numbers Is Five"
• Perimeter and Area

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 (x² +2x-4) - (2x² +3)

Algebraic Division

Factor
Factor x² - 4
Factor 2x²-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.