Math Example: Algebra Tiles: Example 10

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the subtraction of 5 from -3 using algebra tiles. The image shows 3 red tiles representing -3, and 5 yellow tiles are added to create zero pairs. After removing the zero pairs, 2 additional red tiles remain, illustrating that -3 - 5 = -8.

Algebra tiles are an invaluable tool for teaching numerical and algebraic expressions, especially when dealing with operations involving negative numbers. By providing a visual and tactile representation of abstract concepts, these tiles help students develop a deeper understanding of mathematical operations. This approach is particularly effective for visual and kinesthetic learners, allowing them to manipulate the tiles and see the results of their calculations in a concrete way.

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: "Now, let's explore what happens when we subtract a positive number from a negative number using algebra tiles. We start with 3 red tiles for negative 3. To subtract 5, we need to add 5 yellow tiles to create zero pairs. After removing these zero pairs, we're left with 8 red tiles. This shows us that negative 3 minus 5 equals negative 8. Can you explain why we needed to add yellow tiles to subtract? How does this method help you understand subtraction with negative numbers?"

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