Inductive reasoning - Logic

Inductive reasoning

Lessons

Notes:

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)
  What are conjectures?
1.
Making a Conjecture
Make a conjecture of the next item or number based on the information given:
2.
Make a conjecture with the given information. Draw a figure to show that your conjecture is correct:
3.
Counterexamples of Conjectures
Determine if the following conjecture is true or false. If it is false, then find a counterexample of the conjecture:

Inductive reasoning

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Intro Lesson

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Lesson: 1a

Lesson: 1b

Lesson: 1c

Lesson: 1d

Lesson: 1e

Lesson: 1f

Lesson: 2a

Lesson: 2b

Lesson: 2c

Lesson: 2d

Lesson: 3a

Lesson: 3b

Lesson: 3c

Lesson: 3d

Intro

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Don't just watch, practice makes perfect

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Don't just watch, practice makes perfect

Lessons

Notes:

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.

Intro Lesson

Inductive 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)

12,13,14,15\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5} 21​,31​,41​,51​

c)

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 = BC

b)

ABC is a triangle and ∠\angle ∠B is a right angle.

c)

Line a a a and line b b b are perpendicular

d)

Line a a a and line b b 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 a a is a negative integer. Conjecture: a2\ a^2 a2 is a positive integer.

c)

Given: AB‾ \overline{AB} AB and BC‾ \overline{BC} BC are parallel Conjecture: AB = BC

d)

Given: x+y≥10.x≥5 x + y \geq 10 . x \geq 5 x+y≥10.x≥5 Conjecture: y≥6 y \geq 6 y≥6

Inductive reasoning

Don't just watch, practice makes perfect.

We have over 160 practice questions in Geometry for you to master.

or

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.

Making a Conjecture
Make a conjecture of the next item or number based on the information given:

$\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}$

ABC is a triangle and $\angle$ B is a right angle.

Line $a$ and line $b$ are perpendicular

Line $a$ and line $b$ are parallel

Counterexamples of Conjectures
Determine if the following conjecture is true or false. If it is false, then find a counterexample of the conjecture:

Given: A = (0,0), B = (0,1), C = (1,0).
Conjecture: ABC form a right isosceles triangle.

Given: $a$ is a negative integer.
Conjecture: $\ a^2$ is a positive integer.

Given: $\overline{AB}$ and $\overline{BC}$ are parallel
Conjecture: AB = BC

Given: $x + y \geq 10 . x \geq 5$
Conjecture: $y \geq 6$