pecha kucha: ratios, proportions, and probability
DESCRIPTION
A Pecha Kucha (20 slides in 6 minutes) presentation meant to be a useful introduction and overview for a 7th grade middle school mathunit on Ratios, Proportions, and ProbabilityTRANSCRIPT
Ratios, Proportions, and ProbabilityRatios, Proportions, and Probability
Through Pecha Kucha:20 slides
In 6 minutes!
Why Lump All These Together?
They are used to easily compare things
Ratios!
Visually attractive in artAttractive in architectureAppears in nature: sunflowers and pinecones
The GOLDEN Ratio: Ya know, about 1.618 or so
Rates!
Change _______
time
Rates and Lightning
Lightning strikes somewhere on the earth at a rate of 6002 times per minute!
As you watch lightning strike, listen for the thunder! For every 5 seconds between a flash and the sound of thunder, there is 1 mile between you and the strike.
Unit Rates!
A rate where the bottom number represents 1 unit
Solving Proportions!
A proportion is an equation setting two ratios equal
EXAMPLE:
1 / 3 = ??? / 21
Scale Drawings and Ratios
Fractions, Decimals, Percents, Yikes!
Ratio → Percent (grades)
Decimal → Ratio ($)
Percent → Decimal
Example: Percent Proportion
= What percent?
Remember: percent means “out of 100”
What's Your Chance of Learning About Probability?
Sample Spaces
If you roll a die, the sample space is {1, 2, 3, 4, 5, 6}.
(It's a fancy word for 'all possible outcomes'!)
If you roll two dice, the sample space is the whole numbers 2-12
Simple Events: Probability Basics
All outcomes are equally likely to happen
Ex. Rolling an even number using a die.
It is equally likely that you roll any of the 6 numbers
Another “Simple Event”
The pieces of the pie are all the same size, so they all have an equal chance of happening
The Fundamental Counting Principle
What are all the different possible outcomes you can get if you flip a coin and roll two dice?
You just multiply the number of possible outcomes from each Event involved!
The Fundamental Counting Principle
Basically, if you have x ways of doing one thing, and y ways of doing another, then there are x times y ways of doing both things.
Relates to probability: What is the probability of you getting both your dice to land on 3 in the last experiment?
Types of Probability
What should happen?
Ex. How many times should you expect to get heads if you flip a quarter 50 times?
THEORETICAL PROBABILITY
Types of Probability
What actually happens when you perform an experiment?
Ex. How many times do you ACTUALLY get heads if you experiment by flipping the quarter 50 times in class?
Experimental Probability
Ta da!
Ratios
Rates
Probability
AWESOME
intmath.com – Golden Ratio Man
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