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

Don't just watch, practice makes perfect.

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

Get Started Now

Let's keep going.

Play next lesson

Go to next topic

Let's keep going.

Play next lesson

Go to next topic

Let's keep going.

Let's keep going.

Play next lesson or Practice this topic

Start now and get better math marks!

Keep exploring StudyPug

Start now and get better math marks!

Keep exploring StudyPug

Intro Lesson

Selected

Lesson: 1a

Lesson: 1b

Lesson: 1c

Lesson: 1d

Lesson: 1e

Lesson: 1f

Lesson: 2a

Lesson: 2b

Lesson: 2c

Lesson: 3a

Lesson: 3b

Lesson: 3c

Lesson: 3d

Intro

Learn

Practice

Do better in math today

Don't just watch, practice makes perfect

Do better in math today

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)

Line a a a and line b b b are perpendicular

c)

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:

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

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: $y \geq 6$