Math Example: Algebra Tiles: Example 4

Topic

Numerical and Algebraic Expressions

Description

This example illustrates the addition of 7 and -7 using algebra tiles. It shows 7 yellow tiles representing positive integers and 7 red tiles representing negative integers. When combined, these tiles form zero pairs, resulting in a sum of zero. This demonstrates that 7 + (-7) = 0, visually representing the concept of additive inverses.

Algebra tiles are an effective tool for teaching numerical and algebraic expressions, particularly when dealing with operations involving positive and 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.

Presenting multiple worked-out examples is essential for students to fully grasp mathematical concepts. Each example offers a new perspective on the topic, allowing students to see how the same principles apply in different scenarios. This repetition and variety help reinforce the underlying concepts, improve pattern recognition, and develop problem-solving skills. As students encounter various examples, they become more adept at applying their knowledge to new and unfamiliar situations.

Teacher Script: "Now, let's look at what happens when we add a number to its opposite using algebra tiles. We have 7 yellow tiles for positive 7, and 7 red tiles for negative 7. When we combine them, each yellow tile pairs up with a red tile to form a zero pair. After removing all these pairs, we're left with nothing – zero! This shows us that 7 plus negative 7 equals 0. Can you think of other number pairs that would give us the same result?"

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