In this activity, you will learn about geometric patterns by analyzing rectangular patterns of squares. First, you will identify three stages of a pattern by coloring squares in a Microsoft Office Excel grid and quantifying the information in a table. Next, you will analyze the rates of growth in the three stages of the pattern, graph the formula or the points for each stage, and make predictions about other stages based on your findings. Finally, you will create your own three-stage rectangular design, quantify the information in tables, find the formulas or graph the points for three stages of your design, and share your pattern with other students.
Note: This activity can be adapted by eliminating the challenge to find the formula (the first alternative of the third activity under Step 3). Students can still graph and see the rate of growth using only the data points.