Lesson 45
- 1. Lesson 45 Inductive and Deductive Reasoning Text: Chapter 6, section 1 & 6 Inductive Reasoning – is the process of finding a general principle based upon evidence of many specific instances or observations. It is the process of generalization based on observations or experimentation. Look for a pattern Make a conjecture (generalize) Verify the conjecture Deductive Reasoning – is the process of reasoning from accepted statements to a conclusion. If certain statements are accepted as true, then other statements can be shown to follow logically. We often use deductive reasoning when finding the sizes of angles in a circle. Theorems are accepted as true. When using theorems in a proof, we use deductive reasoning. Example: If two points are marked on the circumference of circle, they can be joined to form one chord which will divide the circle into TWO regions. If you have THREE points you will have four regions. A) Complete the chart B) Make a conjecture and test it for 6 points 1 # of Points # of regions 2 3 2 2 1 3 4 4 _____ 2 4 5 _____
- 2. Pick either INDUCTIVE or DEDUCTIVE reasoning for each of the following situations: All students in Senior Years must enroll in English. Tracy is a student, so she concludes that she will take English. Every time I have a hockey game, I have a test the next day. Anyone who likes to play badminton likes to play tennis. Jeff likes to play badminton. We conclude that he likes to play tennis. Triangle ABC is an equilateral triangle. We conclude that AB = AC. During a statistics project, Jeannine counted the number of cars of different colours that passed her school in 20 minutes. More than have the cars were red. She decided that red is the most popular colour for cars. Assignment: Exercise 45 – Q 1 to 14