Lesson 1.1 AIM: Finding Patterns. 3, 6, 12, 24… Find the next three numbers in the pattern. 48, 96, 192 What is the rule? Multiply the last number by.

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Presentation transcript:

Lesson 1.1 AIM: Finding Patterns

3, 6, 12, 24… Find the next three numbers in the pattern. 48, 96, 192 What is the rule? Multiply the last number by 2

Triangle, Rectangle, Pentagon… Find the next three terms in the pattern. Hexagon, Heptagon, Octagon What is the rule? Add one more side to the polygon

Conjecture is another word Rule Can you make a conjecture about the sum of consecutive odd numbers?

Conjecture is another word Rule Can you make a conjecture about the sum of consecutive odd numbers?

Use the table to answer the following question. What is the sum of the first 30 odd numbers? … = 30 2

A Counterexample is an exception to the Rule The square of any number is greater than the original. You can connect any three points to make a triangle. Any number and it’s absolute value are opposites.

A Counterexample is an exception to the Rule The square of any number is greater than the original. 1 = 1 2 You can connect any three points to make a triangle. Any number and it’s absolute value are opposites.

A Counterexample is an exception to the Rule The square of any number is greater than the original. 1 = 1 2 You can connect any three points to make a triangle. Any number and it’s absolute value are opposites.

A Counterexample is an exception to the Rule The square of any number is greater than the original. 1 = 1 2 You can connect any three points to make a triangle. Any number and it’s absolute value are opposites.

SUMMARY QUESTION Find the next term in the pattern. Then explain the rule in your own words.