Deductive vs Inductive Reasoning Patterns

The video tutorial introduces reasoning concepts from a textbook chapter, focusing on essential questions, vocabulary terms like conjecture and counterexample, and types of reasoning, including inductive and deductive. It provides exercises to apply these concepts, encouraging students to observe patterns and make conjectures.

What chapter does Unit 1 come from?

• Chapter 1

• Chapter 2

• Chapter 4

• Chapter 3

What does EQ stand for in the context of the lesson?

• Equalizer

• Equation

• Equilibrium Question

• Essential Question

Tags

CCSS.RI.1.1

CCSS.RI.2.1

CCSS.RI.3.1

CCSS.RL.2.1

CCSS.RL.3.1

What is a conjecture?

• A proven statement

• An unproven statement based on observations

• A mathematical formula

• A logical argument

What is a counterexample?

• A general statement

• An example that disproves a conjecture

• An example that supports a conjecture

• A specific observation

What type of reasoning goes from specific to general?

• Inductive reasoning

• Empirical reasoning

• Deductive reasoning

• Logical reasoning

Tags

CCSS.HSS.IC.B.3

What type of reasoning uses definitions and properties to make arguments?

• Observational reasoning

• Inductive reasoning

• Empirical reasoning

• Deductive reasoning

What should you do after writing a conjecture about a pattern?

• Prove the conjecture

• Draw the next object in the pattern

• Find a counterexample

• Write a definition

In the first pattern example, what direction does the ball move after 'left'?

• Up

• Down

• Right

• Left

In the second pattern example, what motion is observed?

• Counterclockwise

• Clockwise

• Random

• Vertical

In the third pattern example, what comes after two triangles and two circles?

• Two lines

• Two circles

• Two triangles

• Two squares