Do Now Find the Pattern 1 1 2

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Do Now Find the Pattern… 1, 1, 2, 3, 5, 8, 13, 21, 34,

Do Now Find the Pattern… 1, 1, 2, 3, 5, 8, 13, 21, 34, … Do you know the name of this sequence? Find the Pattern and fill in the missing 3 numbers… 0, 2, 6, 12, 20, 30, ___, ___

Do Now Find the Pattern… 1, 1, 2, 3, 5, 8, 13, 21, 34,

Do Now Find the Pattern… 1, 1, 2, 3, 5, 8, 13, 21, 34, … You add the previous two numbers to get the next. Do you know the name of this sequence? Fibonacci Sequence Find the Pattern and fill in the missing 3 numbers… 0, 2, 6, 12, 20, 30, ___, ___

Do Now Find the Pattern… 1, 1, 2, 3, 5, 8, 13, 21, 34,

Do Now Find the Pattern… 1, 1, 2, 3, 5, 8, 13, 21, 34, … You add the previous two numbers to get the next. Do you know the name of this sequence? Fibonacci Sequence Find the Pattern and fill in the missing 3 numbers… 0, 2, 6, 12, 20, 30, ___, ___ The pattern is that you are adding each number by an increasing even number (+2, +4, +6, etc). The next three numbers are 42, 56, 72.

Tables and Formulas �What you are trying to do is look for a pattern

Tables and Formulas �What you are trying to do is look for a pattern and take that pattern to create a formula �Ex. 1, 3, 5, 7, 9, … �What is the pattern?

Tables and Formulas �What you are trying to do is look for a pattern

Tables and Formulas �What you are trying to do is look for a pattern and take that pattern to create a formula �Ex. 1, 3, 5, 7, 9, … �What is the pattern? � We add 2 to every number. � How is this written as an equation? � What is an equation?

Tables and Formulas �What you are trying to do is look for a pattern

Tables and Formulas �What you are trying to do is look for a pattern and take that pattern to create a formula �Ex. 1, 3, 5, 7, 9, … �What is the pattern? � We add 2 to every number. � How is this written as an equation? � What is an equation? Algebraic Equation – a set of numbers, symbols and operations to model a mathematical situation

Tables and Formulas �What you are trying to do is look for a pattern

Tables and Formulas �What you are trying to do is look for a pattern and take that pattern to create a formula �Ex. 1, 3, 5, 7, 9, … �What is the pattern? � We add 2 to every number. � How is this written as an equation? �Y =X+2

Tables and Formulas �Using that idea, we can take an equation and figure out

Tables and Formulas �Using that idea, we can take an equation and figure out the missing numbers: X 1 2 3 4 5 6 Y �Fill in the missing numbers if Y = X + 5

Tables and Formulas �Using that idea, we can take an equation and figure out

Tables and Formulas �Using that idea, we can take an equation and figure out the missing numbers: X 1 2 3 4 5 6 Y 6 7 8 9 10 11 �Fill in the missing numbers if Y = X + 5

Tables and Formulas �What’s the equation? X 1 2 3 4 5 6 Y

Tables and Formulas �What’s the equation? X 1 2 3 4 5 6 Y 5 10 15 20 25 30 �First find the pattern to the numbers.

Tables and Formulas �What’s the equation? X 1 2 3 4 5 6 Y

Tables and Formulas �What’s the equation? X 1 2 3 4 5 6 Y 5 10 15 20 25 30 �First find the pattern to the numbers. �You are multiplying X by 5 to get Y.

Tables and Formulas �What’s the equation? X 1 2 3 4 5 6 Y

Tables and Formulas �What’s the equation? X 1 2 3 4 5 6 Y 5 10 15 20 25 30 �First find the pattern to the numbers. �You are multiplying X by 5 to get Y. So your equation is Y = 5 X.

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite Addition Subtraction Multiplication Division

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite Subt. Addition Subtraction Multiplication Division

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite Addition Subtraction Add. Multiplication Division

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite Addition Subtraction Add. Multiplication - Division

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite

Tables and Formulas Inverse Operations – Undoing an operation by taking its opposite Opposite Addition Subtraction Add. Multiplication - Division Mult.