Inductive reasoning
- Intro Lesson14:57
- Lesson: 1a3:20
- Lesson: 1b3:53
- Lesson: 1c4:56
- Lesson: 1d3:07
- Lesson: 1e6:23
- Lesson: 1f5:55
- Lesson: 2a3:27
- Lesson: 2b4:57
- Lesson: 2c2:18
- Lesson: 2d2:43
- Lesson: 3a8:24
- Lesson: 3b4:44
- Lesson: 3c4:14
- Lesson: 3d7:01
Inductive reasoning
Lessons
Notes:
A conjecture is an educational guess made from the given information. Inductive reasoning is about making a conjecture that predicts the next set of patterns, or arrive at a conclusion.
A conjecture is an educational guess made from the given information. Inductive reasoning is about making a conjecture that predicts the next set of patterns, or arrive at a conclusion.
- IntroductionInductive Reasoning Overview:a)What are conjectures?
- 1.Making a Conjecture
Make a conjecture of the next item or number based on the information given:
a)1, 3, 5, 7, 9,…b)21,31,41,51c)d)e)f) - 2.Make a conjecture with the given information. Draw a figure to show that your conjecture is correct:a)ABC is a triangle and AB = BCb)ABC is a triangle and ∠B is a right angle.c)Line a and line b are perpendiculard)Line a and line b are parallel
- 3.Counterexamples of Conjectures
Determine if the following conjecture is true or false. If it is false, then find a counterexample of the conjecture:a)Given: A = (0,0), B = (0,1), C = (1,0).
Conjecture: ABC form a right isosceles triangle.b)Given: a is a negative integer.
Conjecture: a2 is a positive integer.c)Given: AB and BC are parallel
Conjecture: AB = BCd)Given: x+y≥10.x≥5
Conjecture: y≥6