Math Example--Numbers--Analyzing Number Patterns--Example 16

Number Patterns

Number Patterns

Description

This example illustrates two number patterns with decreasing y-values. Pattern 1 decreases by 1, while Pattern 2 decreases by 2. The graph shows these changes, modeled by y = -x + 5 for Pattern 1 and y = -2x + 5 for Pattern 2.

Analyzing number patterns is a crucial skill in mathematics as it helps students identify relationships and make predictions. This collection of examples presents various linear patterns, enabling students to compare different rates of change and their graphical representations.

Providing multiple worked-out examples is essential for students to fully grasp the concept of number patterns. By examining diverse scenarios, students can recognize common features and differences, enhancing their understanding and ability to apply these concepts to new situations.

Teacher Script: Let's examine these two patterns carefully. How do the values change in each table? Can you describe the relationship between x and y in Pattern 1? How does this compare to Pattern 2? Look at the graph - what do you observe about the steepness of each line? This comparison will help you understand how different rates of change appear both numerically and graphically.

For a complete collection of math examples related to Analyzing Number Patterns click on this link: Math Examples: Analyzing Number Patterns Collection.