Geometry 2-1 Complete Lesson: Patterns and Inductive Reasoning

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Solve It! How many rectangles would you get if you folded a piece of paper in half eight times?
Enter only a number.

G.CO.11

G.CO.9

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G.CO.11

G.CO.9

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Take Note: Define inductive reasoning.

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Problem 1 Got It? What are the next two terms in the sequence? Draw them on the canvas. You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

G.CO.9

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Take Note: Define conjecture.

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Take Note: Describe why it is important to collect an adequate amount of data before you make a conjecture.

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Problem 4 Got It? What conjecture can you make about backpack sales in June?

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Take Note: Define counterexample.

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Problem 5 Got It? What is a counterexample for the conjecture?

If a flower is red, it is a rose.

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Problem 5 Got It? Draw a counterexample for the conjecture on the canvas.

One and only one plane exists through any three points.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

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Problem 5 Got It? What is a counterexample for the conjecture?

When you multiply a number by 3, the product is divisible by 6.

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Predict: What are the next two terms in the sequence?
Enter your numbers in this format: 38, 96

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Predict: What are the next two terms in the sequence shown in the image below?

Color in the blank squares to represent the next two terms. Your coloring does not need to be neat or completely fill the squares.

G.CO.11

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Reasoning: What is a counterexample for the following conjecture?

All four-sided figures are squares.

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Compare and Contrast: Clay thinks the next term in the sequence 2, 4, ... is 6. Given the same pattern, Bob thinks the next term is 8, and Stacie thinks the next term is 7. What conjecture is each person making? Is there enough information to decide who is correct?

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Review Lesson 1-3: Solve for x if B is the midpoint of \overline{AC}. Enter only a number.

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Geometry 2-1 Complete Lesson: Patterns and Inductive Reasoning

Solve It! How many rectangles would you get if you folded a piece of paper in half eight times?Enter only a number.

Take Note: Define inductive reasoning.

Problem 1 Got It? What are the next two terms in the sequence? Draw them on the canvas. You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Take Note: Define conjecture.

Take Note: Describe why it is important to collect an adequate amount of data before you make a conjecture.

Problem 4 Got It? What conjecture can you make about backpack sales in June?

Take Note: Define counterexample.

Problem 5 Got It? What is a counterexample for the conjecture? If a flower is red, it is a rose.

Problem 5 Got It? Draw a counterexample for the conjecture on the canvas. One and only one plane exists through any three points.You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Problem 5 Got It? What is a counterexample for the conjecture? When you multiply a number by 3, the product is divisible by 6.

Predict: What are the next two terms in the sequence?Enter your numbers in this format: 38, 96

Predict: What are the next two terms in the sequence shown in the image below? Color in the blank squares to represent the next two terms. Your coloring does not need to be neat or completely fill the squares.

Reasoning: What is a counterexample for the following conjecture?All four-sided figures are squares.

Compare and Contrast: Clay thinks the next term in the sequence 2, 4, ... is 6. Given the same pattern, Bob thinks the next term is 8, and Stacie thinks the next term is 7. What conjecture is each person making? Is there enough information to decide who is correct?

Review Lesson 1-3: Solve for x if B is the midpoint of \overline{AC}. Enter only a number.

Reflection: Math Success

Solve It! How many rectangles would you get if you folded a piece of paper in half eight times?Enter only a number.

Take Note: Define inductive reasoning.

Problem 1 Got It?What are the next two terms in the sequence?

Problem 1 Got It? What are the next two terms in the sequence? Draw them on the canvas. You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Take Note: Define conjecture.

Take Note: Describe why it is important to collect an adequate amount of data before you make a conjecture.

Problem 4 Got It? What conjecture can you make about backpack sales in June?

Problem 4 Got It? Reasoning: Is it reasonable to use this graph to make a conjecture about sales in August? Explain.

Take Note: Define counterexample.

Take Note: Provide an example of a false conjecture and a counterexample that proves the conjecture false.

Problem 5 Got It? What is a counterexample for the conjecture? If a flower is red, it is a rose.

Problem 5 Got It? Draw a counterexample for the conjecture on the canvas. One and only one plane exists through any three points.You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Problem 5 Got It? What is a counterexample for the conjecture? When you multiply a number by 3, the product is divisible by 6.

Predict: What are the next two terms in the sequence?Enter your numbers in this format: 38, 96

Predict: What are the next two terms in the sequence shown in the image below? Color in the blank squares to represent the next two terms. Your coloring does not need to be neat or completely fill the squares.

Reasoning: What is a counterexample for the following conjecture?All four-sided figures are squares.

Compare and Contrast: Clay thinks the next term in the sequence 2, 4, ... is 6. Given the same pattern, Bob thinks the next term is 8, and Stacie thinks the next term is 7. What conjecture is each person making? Is there enough information to decide who is correct?

Review Lesson 1-8: What is the area of a circle with radius 4 in.? Leave your answer in terms of π.

Review Lesson 1-3: Solve for x if B is the midpoint of \overline{AC}. Enter only a number.

Review Lesson 2-1: Is the conjecture true or false? The sum of two even numbers is even.

Review Lesson 2-1: Is the conjecture true or false? The sum of three odd numbers is even.

Use Your Vocabulary: Complete each sentence on the right with the appropriate form of the word reason.

Reflection: Math Success

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? Reasoning: Is it reasonable to use this graph to make a conjecture about sales in August? Explain.

Take Note: Provide an example of a false conjecture and a counterexample that proves the conjecture false.

Solve It! How many rectangles would you get if you folded a piece of paper in half eight times?
Enter only a number.

Problem 5 Got It? What is a counterexample for the conjecture?

If a flower is red, it is a rose.

Problem 5 Got It? Draw a counterexample for the conjecture on the canvas.

One and only one plane exists through any three points.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Problem 5 Got It? What is a counterexample for the conjecture?

When you multiply a number by 3, the product is divisible by 6.

Predict: What are the next two terms in the sequence?
Enter your numbers in this format: 38, 96

Predict: What are the next two terms in the sequence shown in the image below?

Color in the blank squares to represent the next two terms. Your coloring does not need to be neat or completely fill the squares.

Reasoning: What is a counterexample for the following conjecture?

All four-sided figures are squares.

Solve It! How many rectangles would you get if you folded a piece of paper in half eight times?
Enter only a number.

Problem 1 Got It?
What are the next two terms in the sequence?

Problem 5 Got It? What is a counterexample for the conjecture?

If a flower is red, it is a rose.

Problem 5 Got It? Draw a counterexample for the conjecture on the canvas.

One and only one plane exists through any three points.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Problem 5 Got It? What is a counterexample for the conjecture?

When you multiply a number by 3, the product is divisible by 6.

Predict: What are the next two terms in the sequence?
Enter your numbers in this format: 38, 96

Predict: What are the next two terms in the sequence shown in the image below?

Color in the blank squares to represent the next two terms. Your coloring does not need to be neat or completely fill the squares.

Reasoning: What is a counterexample for the following conjecture?

All four-sided figures are squares.

Review Lesson 2-1: Is the conjecture true or false?

The sum of two even numbers is even.

Review Lesson 2-1: Is the conjecture true or false?

The sum of three odd numbers is even.