Math Example--Numbers--Analyzing Number Patterns--Example 22

Number Patterns

Number Patterns

Description

This example compares two number patterns. Pattern 1 has y-values increasing by 3, while Pattern 2 decreases by 3. The graph displays these changes, modeled by y = 3x for Pattern 1 and y = -3x for Pattern 2.

Understanding number patterns is essential in mathematics as it helps students recognize relationships and make predictions. This collection of examples showcases various linear patterns, allowing students to compare different rates of change and their graphical representations.

Exposure to multiple worked-out examples is crucial for students to fully comprehend number patterns. By examining diverse scenarios, students can identify common features and differences, strengthening their understanding and ability to apply these concepts to new situations.

Teacher Script: Take a close look at these two patterns. 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? Observe the graph - what do you notice 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.