You've likely been studying patterns since you were in grade school. Extending graphic patterns is a skill you likely have mastered. Let's take a look at some patterns in the problems below. See if you can use your observational skills to determine what the next logical image will be.
Problem 1
Problem 2
Study the patterns of squares in the picture below. How many squares would be in the fifth figure? Explain the pattern and draw the fourth and fifth figures.
| From the picture: Figure 1 has 3 squares. Figure 2 has 5 squares. Figure 3 has 7 squares. The number of squares increases by 2 in each figure. Figure 4 would have 9 squares. Figure 5 would have 11 squares. |
Figures 4 and 5 would be drawn like this: |
What is the fourth image in the series of images shown?
The next image in this pattern appears to be a smaller square inside of the existing smallest square. This is known as an inscribed square.
In this lesson, you will extend your knowledge of patterns with shapes to finding patterns with numbers.
