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Math Example: Modeling Integers Using Algebra Tiles: Example 11

Math Example: Modeling Integers Using Algebra Tiles: Example 11

Shows 1 red algebra tile, representing the integer -1

Topic

Numerical Expressions

Description

This example demonstrates how to model the integer -1 using algebra tiles. A single red tile is shown, representing a negative unit. This visual representation helps students understand the concept of negative integers and how they can be represented using concrete objects. The use of algebra tiles provides a tangible way for students to grasp numerical expressions, particularly for visual learners.

Numerical expressions are fundamental in mathematics, forming the basis for more complex algebraic concepts. By using algebra tiles to represent integers, including negative numbers, students can develop a strong foundation in understanding number relationships and operations. This approach bridges the gap between abstract mathematical concepts and concrete representations, making it easier for students to grasp and remember.

Providing multiple examples of integer representation is crucial for reinforcing the concept. As students progress through various examples, they begin to recognize patterns and develop a deeper understanding of how integers work, including the concept of negative numbers. This repetition and variation in examples help solidify their comprehension and prepare them for more advanced mathematical concepts.

Teacher's Script: Now, let's look at something new. We're going to represent the integer -1 using an algebra tile. Notice the red color of this tile. In our system, red tiles represent negative units. How does this single red tile help us understand what -1 means in a concrete way?

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

Common Core Standards CCSS.MATH.CONTENT.6.NS.C.5
Grade Range 6 - 8
Curriculum Nodes Algebra
    • Expressions, Equations, and Inequalities
        • Algebra Tiles--Expressions and Equations
Copyright Year 2014
Keywords integers, integer, algebra tiles, positive numbers, negative numbers, positive, negative, zero, zero pair, number line, absolute value