Math Example: Algebra Tiles: Example 12

Topic

Numerical and Algebraic Expressions

Description

This example demonstrates the subtraction of -6 from -4 using algebra tiles. The image shows 4 red tiles representing -4, and 6 yellow tiles are added to form zero pairs. After removing these pairs, 2 yellow tiles remain, illustrating that -4 - (-6) = 2.

Algebra tiles are an effective tool for teaching numerical and algebraic expressions, particularly when dealing with operations involving negative numbers. By providing a concrete, visual representation of abstract mathematical concepts, these tiles help students develop a deeper understanding of number relationships and operations. This approach is especially beneficial for students who struggle with abstract thinking, 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: "Now, let's explore what happens when we subtract a larger negative number from a smaller negative number using algebra tiles. We start with 4 red tiles for negative 4. To subtract negative 6, we need to add 6 yellow tiles to create zero pairs. After removing these pairs, we're left with 2 yellow tiles. This shows us that negative 4 minus negative 6 equals positive 2. Can you explain why the result is positive? How does this method help you understand the relationship between addition and 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.