1. Entry task 1) What can be concluded from the following pattern? 1 + 2 + 3 + 4 + 5 = 15 = 3 × 5 2 + 3 + 4 + 5 + 6 = 20 = 4 × 5 3 + 4 + 5 + 6 + 7 = 25 = 5 × 5 4 + 5 + 6 + 7 + 8 = 30 = 6 × 5 5 + 6 + 7 + 8 + 9 = 35 = 7 × 5 6 + 7 + 8 + 9 + 10 = 40 = 8 × 5 2) Can you find the pattern? J,F,M,A,…

2. Using Patterns and Inductive Reasoning Learning Target: I can observe patterns and reach a conclusion based on those patterns

3. Definitions Inductive Reasoning – type of reasoning that allows you to reach conclusions based on a pattern of specific examples Conjecture –conclusion reached by using inductive reasoning Counterexample –An example that shows a conjecture is incorrect

4. We can all see the pattern here, but what is important is the ideas we can take away from this to help us see other patterns.

8. Extra credit Find the sum of all numbers from 1 to 100 –Hint : Look for a pattern –(you will not get credit if you simply use a calculator, you must find the pattern)

9. Homework Homework: p. 85 #7,12,13,14,21,23,33,35,37,39,41,46,53,55 Challenge - 56