1. Lesson 1.1 AIM: Finding Patterns

2. 3, 6, 12, 24… Find the next three numbers in the pattern. 48, 96, 192 What is the rule? Multiply the last number by 2

3. Triangle, Rectangle, Pentagon… Find the next three terms in the pattern. Hexagon, Heptagon, Octagon What is the rule? Add one more side to the polygon

4. Conjecture is another word Rule Can you make a conjecture about the sum of consecutive odd numbers?

5. Conjecture is another word Rule Can you make a conjecture about the sum of consecutive odd numbers?

6. Use the table to answer the following question. What is the sum of the first 30 odd numbers? 1 + 3 + 5 + 7 + … = 30 2

7. A Counterexample is an exception to the Rule The square of any number is greater than the original. You can connect any three points to make a triangle. Any number and it’s absolute value are opposites.

8. A Counterexample is an exception to the Rule The square of any number is greater than the original. 1 = 1 2 You can connect any three points to make a triangle. Any number and it’s absolute value are opposites.

9. A Counterexample is an exception to the Rule The square of any number is greater than the original. 1 = 1 2 You can connect any three points to make a triangle. Any number and it’s absolute value are opposites.

10. A Counterexample is an exception to the Rule The square of any number is greater than the original. 1 = 1 2 You can connect any three points to make a triangle. Any number and it’s absolute value are opposites.

11. SUMMARY QUESTION Find the next term in the pattern. Then explain the rule in your own words.