College Algebra Math 130 Amy Jones Lewis.

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Presentation transcript:

College Algebra Math 130 Amy Jones Lewis

Welcome to Algebra!

What is Algebra? Algebra is solving for unknown values when the result is known, using: Scenarios Equations Graphs Tables Algebra is commonly used in every day life: I have $50, can I buy these 3 DVDs? Balloons are $1.50 each. How many can I get for $10? Algebra is a way of thinking. I’m more concerned about your thinking process than your use of one particular procedure or variable.

Algebra is the gateway course for upper level mathematics! If you never took Algebra, you’re in the right place. Because you think algebraically in your every day life, you have all of the necessary prerequisites. If you took Algebra and hated it, you’re in the right place. We’re going to look at things differently. Leave your bad memories at the door. If you took Algebra and loved it, fabulous! You’ll still learn something new or look at something differently.

As Usual… The calendar for this course can be found on the STEM Wiki: http://stem.iu1.wikispaces.net/CTE+Project. I tried to avoid Mondays… I tried to avoid 3-day weeks… Please be prepared with your binder each day. The content will build upon itself, and your binder will be a great resource for you. We will be working in groups for this class. Please sit with 2-3 peers for each class. There will be 4 take-home tests, including the final. Homework is very important in this course. There will not be a lot, but I highly recommend that you work through it.

Write your answers in complete sentences. U.S. Shirts Using Tables, Graphs, and Equations This past summer you were hired to work at a custom T-shirt shop, U.S. Shirts. One of your responsibilities is to find the total cost of customers’ orders. The shop charges $8 per shirt with a one-time set-up fee of $15. What is the total cost of an order for 3 shirts? What is the total cost of an order for 10 shirts? What is the total cost of an order for 100 shirts? Explain how you found the total costs. Carnegie Learning task use A1 Teacher’s Implementation Guide. Write your answers in complete sentences.

Write your answers in complete sentences. U.S. Shirts Using Tables, Graphs, and Equations This past summer you were hired to work at a custom T-shirt shop, U.S. Shirts. One of your responsibilities is to find the total cost of customers’ orders. The shop charges $8 per shirt with a one-time set-up fee of $15. How many T-shirts can a customer buy for $50? How many T-shirts can a customer buy for $60? How many T-shirts can a customer buy for $250? Explain how you found the number of shirts that can be purchased. Carnegie Learning task use A1 Teacher’s Implementation Guide. Write your answers in complete sentences.

U.S. Shirts Make a table of values for the problem situation. Using Tables, Graphs, and Equations Make a table of values for the problem situation. Labels Number of Shirts Ordered Total cost Unit Shirts $

U.S. Shirts Using Tables, Graphs, and Equations What are the variable quantities in this problem situation? Assign letters to represent these quantities and include each quantity’s units. What are the constant quantities in this problem situation? Include the units that are used to measure these quantities. Which variable quantity depends on the other variable quantity? Which of the variables is the independent variable and which is the dependent variable?

U.S. Shirts Create a line graph of the data from your table. Using Tables, Graphs, and Equations Create a line graph of the data from your table. First, choose your bounds and intervals. Remember to label your graph clearly and add a title to the graph. Use your graph to determine the price of: 40 shirts 27 shirts Use your graph to determine how many shirts can be purchased for: $300 $540.

U.S. Shirts Write an algebraic equation for the problem situation. Using Tables, Graphs, and Equations Write an algebraic equation for the problem situation. In this lesson, you have represented the problem situation in four different ways: as a sentence, as a table, as a graph, and as an equation. Explain the advantages and disadvantages of each representation.

Homework Complete the half-sheet for U.S. Shirts. Next Class: Tomorrow, September 10th