Algebra in Real Life By Michael Every June 20, 2006.

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Presentation transcript:

Algebra in Real Life By Michael Every June 20, 2006

Situation #1 I have 13 friends coming to my party. I have ordered 3 pizzas. The pizzas are cut into 8 pieces. The pizza boxes are 14x14x1.5 inches. The party begins at 1:00pm Steve doesn’t eat pizza. Frank wants to know how pieces he gets to eat. I want everyone to get fair share.

What is the Question? Let’s go back and look…

Situation #1 I have 13 friends coming to my party. I have ordered 3 pizzas. The pizzas are cut into 8 pieces. The pizza boxes are 14x14x1.5 inches. The party begins at 1:00pm Steve doesn’t eat pizza. Frank wants to know how many pieces he gets to eat. I want everyone to get fair share.

Frank wants to know how many pieces he gets to eat. Is this a question? Yes What information do we need to answer the question? Let’s go back and check…

Situation #1 I have 13 friends coming to my party. I have ordered 3 pizzas. The pizzas are cut into 8 pieces. The pizza boxes are 14x14x1.5 inches. The party begins at 1:00pm Steve doesn’t eat pizza. Frank wants to know how many pieces he gets to eat. I want everyone to get fair share.

Situation #1(necessary information) I have 13 friends coming to my party. I have ordered 3 pizzas. The pizzas are cut into 8 pieces. Steve doesn’t eat pizza. Frank wants to know how many pieces he gets to eat. I want everyone to get fair share.

Let’s Create a Balanced Equation. What are the given proportions? 12 Friends with an equal amount of pizza. 3 pizzas with 8 slices each 12Friends = 24 slices of pizza 12F = 24S

How do we solve our Balanced Equation? First decide which variable we need to solve for…F or S? Solve for S tells us one Slice feeds many Friends. Solve for F tells us one Friend gets how many Slices. Correct! Solve for F

Next Step We need the F variable by itself. We can use inverse operations to cancel values. 12F = 24S What is the inverse operation? Correct! Divide by 12 Remember to keep the equation balanced… We apply the same operation to both sides

How do I show my work? 12F = 24S 12 Divide both sides by 12 F = 2S

If F = 2S Then the answer to Frank’s question is… He gets to eat 2 slices of pizza.

Yeah! We solved our problem 1.)Create an equation 2.)Solve using inverse operations Balanced Equations

Let’s watch the process in action… Click on video to start…

Comprehension Quiz Solve with Inverse operations 6X = X = 13

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