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Monday, December 5 th. Warm Up. Solve each proportion 1. 2. Please grab a new warm up! Did you write down the homework?. Corny Joke of the Day. Why are most baseball games held at night? Because the bats sleep during the day. Did anyone try this?. For most people, the ratio of the
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Monday, December 5th Warm Up Solve each proportion 1. 2. Please grab a new warm up! Did you write down the homework?
Corny Joke of the Day Why are most baseball games held at night? Because the bats sleep during the day
Did anyone try this? For most people, the ratio of the length of their head to their total height is 1:7. Use proportions to test your measurements and see if they match this ratio.
Weekly Review Answers One week to our final!!!!!!!!!!
Rational Numbers • -11 • -2.44 • -1 ¼ • -54
Evaluating • 2 • -1.25 • 1/64 • -1/86
Algebra • 5 1/3 • 14/15 • -2 13/28 • -17.577
Write a Rule • -2n-1 • 5n + 1 • EXC • -10n-15
Graphing Get the Point!
0 You usually call me a __________________________. The numbers to the right of my zero are always______________. The numbers to the left of my zero are always______________. Number Line positive negative
0 0 You can think of me as a _________________________. The numbers above my zero are always______________. The numbers below my zero are always______________. Thermometer positive negative
What do you get when you cross a number line with a thermometer? Coordinate Plane
In a coordinate plane the “number line” is called the _______________. x-axis
In a coordinate plane the “thermometer” is called the _______________. y-axis
The 4 quadrants using:I, II, III, IV There are 4 Quadrants on a coordinate plane!! I II IV III
Quadrant I (8,5)
Quadrant II (-4,7)
(6,-9) Quadrant IV
Direct Variation
Equivalent Proportions is Direct Variation!!! ! 2/12 is the same as 4 to 24 is the same as 6 to 36….etc. So, this varies proportionally!
NOT A DIRECT VARIATION 1/6 is not the same as 2/8 or 3/10 or ……….
Helpful Hint A direct-variation equation is always linear and always contains the point (0, 0). The variables x and y either increase together or decrease together.
Situations that change proportionally Ms. Evans Example: Movie tickets and the total amount of money it’s going to cost Zero Tickets=Zero dollars The more movie tickets I buy, the more total money I will have to pay!
Group Discussion Think of a situation that has a direct Variation!
Finding the Constant (k) in the equation Y = kx Find k when: • y=5x • Y=1/2x • Y=11x • Y=.74x • Y=4/5x
You Try! 2. 3.
Can you match the correct Proportion a. Y = 3x b. x=3y c. y=5x d. x=5y
Using Direct variation to Solve Problems The equation below can be used to determine how many boys, y, are in sixth-grade class that has x girls. Y=5/6x If there are 12 girls in the class, how many boys are in the class? a. 8 b. 10 c. 12 d. 18