14. Draw algebra tile models

To draw algebra tile models, we typically represent variables and constants using different colored tiles. Here's a step-by-step guide on how to create algebra tile models for a simple expression, such as \( x^2 + 3x + 2 \). ### Step 1: Identify the Components - **\( x^2 \)**: This represents a square tile, which we will use to represent the variable \( x \). - **\( 3x \)**: This represents three rectangular tiles, each representing \( x \). - **\( 2 \)**: This represents two unit tiles, which are typically squares representing the constant. ### Step 2: Draw the Tiles 1. **Draw the \( x^2 \) Tile**: - Draw a large square to represent \( x^2 \). 2. **Draw the \( 3x \) Tiles**: - Draw three rectangles (or smaller squares) next to the \( x^2 \) tile to represent \( 3x \). 3. **Draw the \( 2 \) Tiles**: - Draw two small squares to represent the constant \( 2 \). ### Step 3: Arrange the Tiles - Arrange the tiles in a way that visually represents the expression. The \( x^2 \) tile can be placed at the top, with the \( 3x \) tiles below it, and the \( 2 \) tiles at the bottom. ### Example Representation - **\( x^2 \)**: A large square - **\( 3x \)**: Three rectangles aligned horizontally - **\( 2 \)**: Two small squares aligned horizontally ### Final Visualization You can visualize it as follows: ``` +---+ | x^2 | +---+ +---+---+---+ | x | x | x | +---+---+---+ +---+---+ | 1 | 1 | +---+---+ ``` This is a simple representation of the expression \( x^2 + 3x + 2 \) using algebra tiles. You can create similar models for other expressions by identifying the components and drawing the corresponding tiles.