Factorization Using Algebra Tiles
Explore how to factor quadratic expressions using algebra tiles. Visualize the process of arranging tiles to form rectangles and discover the factors!
1. Arrange the x² tile in the top-left corner. 2. Place the x tiles along the edges. 3. Fill in the unit tiles to complete the rectangle. 4. The dimensions of the rectangle represent the factors.
Understanding Algebra Tiles and Factorization
Algebra tiles are physical or digital manipulatives that represent algebraic expressions:
- x² tiles (large squares) - Represent x² terms
- x tiles (rectangles) - Represent x terms (can be horizontal or vertical)
- Unit tiles (small squares) - Represent constant terms
- Negative tiles - Represent negative terms (often with a dashed border)
1. Represent the quadratic expression with tiles. 2. Arrange the tiles to form a rectangle. 3. The length and width of the rectangle represent the factors of the expression. 4. Write the factors based on the dimensions.
Factoring is essential in solving quadratic equations, which appear in physics (projectile motion), engineering (structural design), economics (profit optimization), and computer graphics (curve rendering).
