Sci Tech-Unit 1 Lesson 1- Using inductive reasoning and conjectures

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2, 4, 6, 8, _______ _______ _______ 

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2, 3, 5, 9, 17 _______ _______ _______ 

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1, -2, 3, -4, 5, _______ _______ _______ 

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1, 4, 9, 16 _______ _______ _______ 

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Take a few minutes to explore these two patterns. Then, in your own words, explain how each pattern is generated.

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How many times can you repeat the processes used to create the patterns above?

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What are the names for the rectangle and triangle above?

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In the diagram, the numbers of branches that appear as the tree grows model the Fibonacci numbers. This sequence of numbers is named after the Italian mathematician Leonardo Fibonacci (1170–1250 AD).

Can you find the pattern in the number of branches as the tree grows?

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1, 1, 2, 3, 5, 8, 13, _______, _______ ,_______ 

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Write a definition for inductive reasoning.

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In the picture find as many geometric objects as you can. Make a list of all the geometric objects that you find.

Label the picture with some examples.

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What is a bisector? Give two examples of bisectors in geometry.

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Instructions

Click the graph tab.
Click on the graph background to add a point. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

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Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

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Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

Sci Tech-Unit 1 Lesson 1- Using inductive reasoning and conjectures

Take a few minutes to explore these two patterns. Then, in your own words, explain how each pattern is generated.

How many times can you repeat the processes used to create the patterns above?

What are the names for the rectangle and triangle above?

In the diagram, the numbers of branches that appear as the tree grows model the Fibonacci numbers. This sequence of numbers is named after the Italian mathematician Leonardo Fibonacci (1170–1250 AD).

Can you find the pattern in the number of branches as the tree grows?

Write a definition for inductive reasoning.

In the picture find as many geometric objects as you can. Make a list of all the geometric objects that you find.

Label the picture with some examples.

What is a bisector? Give two examples of bisectors in geometry.

Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

Take a few minutes to explore these two patterns. Then, in your own words, explain how each pattern is generated.

How many times can you repeat the processes used to create the patterns above?

What are the names for the rectangle and triangle above?

What does it mean to say a figure has self-similarity?

In the diagram, the numbers of branches that appear as the tree grows model the Fibonacci numbers. This sequence of numbers is named after the Italian mathematician Leonardo Fibonacci (1170–1250 AD).

Can you find the pattern in the number of branches as the tree grows?

Write a definition for inductive reasoning.

In the picture find as many geometric objects as you can. Make a list of all the geometric objects that you find.

Label the picture with some examples.

What is a bisector? Give two examples of bisectors in geometry.

Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

What does it mean to say a figure has self-similarity?

Sci Tech-Unit 1 Lesson 1- Using inductive reasoning and conjectures

Sci Tech-Unit 1 Lesson 1- Using inductive reasoning and conjectures

Take a few minutes to explore these two patterns. Then, in your own words, explain how each pattern is generated.

How many times can you repeat the processes used to create the patterns above?

What are the names for the rectangle and triangle above?

In the diagram, the numbers of branches that appear as the tree grows model the Fibonacci numbers. This sequence of numbers is named after the Italian mathematician Leonardo Fibonacci (1170–1250 AD). Can you find the pattern in the number of branches as the tree grows?

Write a definition for inductive reasoning.

In the picture find as many geometric objects as you can. Make a list of all the geometric objects that you find. Label the picture with some examples.

What is a bisector? Give two examples of bisectors in geometry.

Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

Take a few minutes to explore these two patterns. Then, in your own words, explain how each pattern is generated.

How many times can you repeat the processes used to create the patterns above?

What are the names for the rectangle and triangle above?

What does it mean to say a figure has self-similarity?

In the diagram, the numbers of branches that appear as the tree grows model the Fibonacci numbers. This sequence of numbers is named after the Italian mathematician Leonardo Fibonacci (1170–1250 AD). Can you find the pattern in the number of branches as the tree grows?

Write a definition for inductive reasoning.

In the picture find as many geometric objects as you can. Make a list of all the geometric objects that you find. Label the picture with some examples.

What is a bisector? Give two examples of bisectors in geometry.

Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

Draw the next image for each of these patterns. Write a description of the rule represented by the image and explain how to use the rule to find the next figure.

What does it mean to say a figure has self-similarity?

In the diagram, the numbers of branches that appear as the tree grows model the Fibonacci numbers. This sequence of numbers is named after the Italian mathematician Leonardo Fibonacci (1170–1250 AD).

Can you find the pattern in the number of branches as the tree grows?

In the picture find as many geometric objects as you can. Make a list of all the geometric objects that you find.

Label the picture with some examples.

In the diagram, the numbers of branches that appear as the tree grows model the Fibonacci numbers. This sequence of numbers is named after the Italian mathematician Leonardo Fibonacci (1170–1250 AD).

Can you find the pattern in the number of branches as the tree grows?

In the picture find as many geometric objects as you can. Make a list of all the geometric objects that you find.

Label the picture with some examples.