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# Algebra Tiles - Factoring Polynomials

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The attached document is an entire unit using algebra tiles to factor polynomials. It begins by teaching students what an area models is and then how to factor polynomials using area models. Throughout the unit, students will see the patterns and start to formulate a rule for factoring without using the model. This unit includes notes that specifically explain the rules while making clear connections to the concrete models. Each part includes a set of problems designed for students to work on in groups and then a practice worksheet that forces students to practice with algebra tiles. Detailed answer keys are provided that show what is expected of the students. By using manipulatives and concrete examples, students excel at factoring specifically when the leading coefficient is greater than 1. Here is the list of the progression of parts in this unit:

Algebra Tiles: Factoring
Part 1: Area Modeling
Part 2: Connecting to Equations
Part 3: Multiplying Binomials
Part 4: Dividing Polynomials
Part 5: Multiplying and Dividing Polynomials
Part 6: Factoring Trinomials
Part 7: Factoring Practice (this is just a practice worksheet)
Part 8: Factoring (Mixing Positives and Negatives)
Part 9: More Factoring Practice (this is just a practice worksheet)
Part 10: Notes on Factoring
Part 11: Review (this is just a practice worksheet)

I also have algebra tile units on simplifying expressions and solving equations. Those units are listed below and are available as a bundle with the factoring polynomials unit:

Algebra Tiles: Simplifying Expressions
Part 1: Writing and Simplifying Expressions (all positives)
Part 2: Writing Polynomials (with negatives)
Part 3: Simplifying Polynomials (with negatives)
Part 4: Simplifying Practice (this is just a practice worksheet)
Part 5: Distributive Property Day 1 (no negatives)
Part 6: Distributive Property Day 2 (with negatives)
Part 7: Distributive Property Practice (this is just a practice worksheet)
Part 8: Simplify Expressions and the Distributive Property
Part 9: Practice Problems (this is just a practice worksheet)
Part 10: Justify, Oops, Simplify (Higher Level Practice)

Algebra Tiles: Solving Equations
Intro: Scales Problems
Part 1: Solving Two-Step Equations
Part 2: Solving Two-Step Equations with Negatives
Part 3: Practicing Solving Two-Step Equations (this is just a practice work sheet)
Part 4: Variables on Both Sides (all positives)
Part 5: Variables on Both Sides (with negatives)
Part 6: Variables on Both Sides Practice (this is just a practice worksheet)
Part 7: Multi-Step Equations
Part 8: Solving Equations Practice (this is just a practice worksheet)
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