1/21 and 1/22. please have your binders out and place the notes for today in the binders
TRANSCRIPT
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Writing systems of equations
1/21 and 1/22
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Please have your binders out and place the notes for today in the binders.
Binders
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Equations can be used to ______________ situations involving ________________.
If we can create a __________________________, we can solve for unknown quantities.
To solve for two unknown quantities we need________________ equations.
Systems of Equations
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Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?
Volumes
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Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?
Volumes Label unknowns:
Identify givens:
Write equations that relate unknowns and givens:
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Basketball
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In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?
Basketball Label unknowns:
Identify givens:
Write equations that relate unknowns and givens:
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A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
Tests Label unknowns:
Identify givens:
Write equations that relate unknowns and givens:
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Your Turn
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Tickets to a concert cost either $12 or $15. A total of 300 tickets are sold, and the total receipts were $4140. How many of each kind of ticket were sold?
Tickets Label unknowns:
Identify givens:
Write equations that relate unknowns and givens:
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How do you become rich?
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What is stock?
Why do you want stock?
Why is stock dangerous?
Stock
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An investor buys a total of 360 shares of two stocks. The price of one stock is $35 per share, while the price of the other stock is $45 per share. The investor spends a total of $15000. How many shares of each stock did the investor buy?
Tickets Label unknowns:
Identify givens:
Write equations that relate unknowns and givens:
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Break
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But let’s say we have the following situation. You’re going to the mall with your friends and you have $200 to spend from your recent birthday money. You discover a store that has all jeans for $25 and all dresses for $50. You really, really want to take home 6 items of clothing because you “need” that many new things.
Writing and Graphing Systems Label unknowns:
Identify givens:
Write equations that relate unknowns and givens:
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Graph these equations
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Find the value of two numbers if their sum is 12 and their difference is 4.
Writing and Graphing Systems Label unknowns:
Identify givens:
Write equations that relate unknowns and givens:
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Graph these equations
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Mini-Project Assignment
Create a mini-poster on which you write and graph a system of equations for two word problems.
You must:Label unknownsIdentify givensWrite equations that relate unknowns and givensGraph the equationsIdentify the solution from the graph
You are doing what we just did for the last two problems.
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Requirements
Use the paper provided.Use color.Use a ruler to make straight graphs.
Grade on:Correctness: 70%Neatness (lines straight, writing even): 20%Organization (boxes to separate parts): 10$
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Example:Find the value of two
numbers if their sum is 12 and their difference is 4.
Label unknowns:
Identify givens:
Write equations that relate unknowns and givens:
Solution:
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The difference of two numbers is 3. Their sum is 13. Find the numbers.
Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent this situation. Then he solved the system by graphing. What is the solution?
The Two Problems: One Front, One Back
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◦ Finish your poster
Homework