Problem Description Sheet:       And I Predict ...              Introduction: There are many different patterns in our world. Some are in nature. Some are in art. Some are in science and math. Patterns can be in pictures, in poetry, in music, in leaves, on animals, or in numbers. If you can figure out the pattern or the rule for the pattern, you can make predictions about what to expect next. In this activity, you get to try this with number patterns. Problem: Look for a pattern in each list of numbers. Predict and write the next 6 numbers that would follow in each list. Explain or show the rule for the pattern (how you know those will be the next 6 numbers). 1, 4, 7, 10, 13, 16,       ,       ,       ,       ,       ,        3, 6, 12, 24,       ,       ,       ,       ,       ,        1, 2, 4, 7, 11, 16, 22,       ,       ,       ,       ,       ,        1, 2, 3, 5, 8, 13, 21, 34,       ,       ,       ,       ,       ,        4, 9, 7, 12, 10, 15, 13, 18, 16,       ,       ,       ,       ,       ,        1, 2, 3, 6, 2, 8, 16, 2, 18, 36, 2,       ,       ,       ,       ,       ,        Materials: pencil, paper, calculator Extra Questions: Create your own number patterns. Give these to other classmates to see if they can predict what numbers will come next. Look for and describe other patterns you see in geometry, in art, in nature, and so on.

Topic(s): Numbers and patterns (N-11,12; D-4b), critical and creative thinking, communication    Activity Type:   Group  Individual   Assessment:   Scale:      Levels 1-5           Self  Peer  Teacher    Include in your portfolio?   Yes  No  Optional    Toward your marks?   Yes  No  Optional    Hints: