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Grade 9:  The Learning Equation Math

21.03 Equivalent Expressions

 Patterns Refresher pp 30-31

 SeekAWord2ech.class Author Prerequisite Skills: Add, subtract, multiply, and divide fractions concretely, pictorially, and symbolically.

The student will:

## Algebra Tiles

Algebra tiles have a variety of other names: algetiles, math tiles, and virtual tiles.  Algebra tiles can help you visualize equivalent algebraic expressions and/or equations.  Many of the real tiles have a positive and a negative side. The virtual algebra tiles activities will use multi-coloured positive tiles. The reverse (negative) side of each of these tiles is red. It helps to understand that negative tiles have one positive and one negative dimension.

Some algebra kits use black tiles for positive areas and red for the flip (negative) sides. Click the "Black/Red Tiles" button for additional information.

 Algebra tiles can help you visualize equivalent algebraic expressions and/or equations.  Some kits use different colors for the various positive tiles.  Let's look at examples where we have groups of x tiles.  This activity will create the question, show the intermediate step, and provide the answer to the expression.  Learning the pattern(s) here will help you  to solve the expressions independently.  If you have algebra tiles, build the expression generated.  Make the appropriate changes in the tiles as you work through each of the steps in the solution.

## Equivalent Expressions

Algebra tiles can help you visualize equivalent algebraic expressions and/or equations.  Some kits use different colors for the various positive tiles.  Let's look at examples where we have groups of x tiles.  This activity will create the question, show the intermediate step, and provide the answer to the expression.  Learning the pattern(s) here will help you  to solve the expressions independently.  If you have algebra tiles, build the expression generated.  Make the appropriate changes in the tiles as you work through each of the steps in the solution.

Review        Learning Outcomes       Enrichment        Key Terms        Prerequisite Skills

## Equivalent Expressions Generator

Study the following to learn the pattern of making equivalent expressions mentally.

### Distributive Property:  a(b + c) = ab + ac

 Expression Equivalent Expression Divide (4x-6) into two groups and you will get 2x-3 in each group (4x-6) / 2  =       2x - 3 Distributive Property: (ab + ac)/a = b + c (4x-6) is the total. You MUST divide both parts of the group by 2 to find what is in each group.

Enrichment        Learning Outcomes       Review        Key Terms        Prerequisite Skills

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