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

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

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

More Patterns 1,4,9,16, . . . add the next consecutive on number write as a table 1 2 3 4 1 4 9 16 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

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

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

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

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

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.

Homework Pg 99 for 3 and 7 also state what the pattern is,11,15 Pg117 1-6 all of these have two answers, read question carefully