1. Inductive and Deductive Reasoning
Objective: Students will be able to determine between inductive and deductive reasoning problems and then solve the problem accordingly.

2. Inductive
Observing the data, recognizing a pattern and making generalizations
Do you see a pattern
Can you describe what the pattern is
Can you find the next consecutive terms

3. Example
2,4,6,8,…
Helpful to make a table, with the sequence of numbers the y values and the order of the sequence the x
1st term is 2
2nd term is 4
3rd term is 6
4th term is 8
Pattern is they go up by 2 Next numbers in sequence are 10,12,14

4. More Patterns
1,4,9,16, add the next consecutive on number write as a table Square the x value O,T,T,F, First letter of the number, One, Two J,F,M,A,M, First letter of the month

6. Deductive
Deductive is to explain why Proven Facts Solve an equation write the reason for each step This idea is what are proofs are based on

7. Solve the equation for x. Give a reason for each step in the process
Solve the equation for x. Give a reason for each step in the process. 3(2x + 1) + 2(2x + 1) + 7 = 42 − 5x

8. Acute
Obtuse<180
Bisect is to cut in half
½ obtuse < ½ 180
½ obtuse <90

9. AC = BD
Reason is additive property – if you add the same thing to already congruent sides it will stay congruent, same idea with solving equations

10. Objective: Students will be able to determine between inductive and deductive reasoning problems and then solve the problem accordingly. On a scale of 1 to 4 Do you feel we meet the objective for the day. If we did not meet the objective, what did we miss and how could I improve.

11. Homework
Pg 99 for 3 and 7 also state what the pattern is,11,15 Pg all of these have two answers, read question carefully