Math Example: Algebra Tiles: Example 7

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the subtraction of 10 from 8 using algebra tiles. The image shows 8 yellow tiles representing the initial value, and two red tiles next to them. To subtract 10, zero pairs are added as necessary, resulting in a final answer of -2, represented by two red tiles.

Algebra tiles are a powerful tool for teaching numerical and algebraic expressions, especially when dealing with subtraction that results in negative numbers. By providing a visual and tactile representation of abstract concepts, these tiles help students develop a concrete understanding of mathematical operations. This approach is particularly beneficial for students who struggle with traditional abstract methods, as it allows them to physically manipulate the tiles and observe the outcomes of different operations.

Exposing students to multiple worked-out examples is crucial for reinforcing mathematical concepts. Each example presents a unique scenario, helping students recognize patterns and develop problem-solving strategies. This repetition and variety of examples contribute to a more comprehensive understanding of the topic, enabling students to apply their knowledge to different situations with confidence. As students encounter various examples, they become more adept at identifying key information and selecting appropriate strategies for solving problems.

Teacher Script: "Let's explore how we can use algebra tiles to subtract a larger number from a smaller one. We start with 8 yellow tiles for 8. To subtract 10, we need to add zero pairs until we have enough tiles to remove. After adding two zero pairs, we can remove 10 yellow tiles, leaving us with 2 red tiles. This shows us that 8 minus 10 equals negative 2. Can you explain why we needed to add zero pairs in this example? How does this method help you understand subtraction that results in negative numbers?"

For a complete collection of math examples related to Numerical and Algebraic Expressions click on this link: Math Examples: Algebra Tiles Collection.