WHAT IS THE ESSENTIAL QUESTION?

WHAT IS THE ESSENTIAL QUESTION? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 3, Lesson 1 1. Warm up 2. Notes Bell Curves 3. ICA Quincunx Standard 4.1 23 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: Get out your calculator and pencil. You will have 15 minutes to take the quiz. This WILL count for an assessment grade. 1

QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ QUIZ You will have 15 minutes to complete the quiz on scientific notation, significant figures, and frequency histograms. 2

Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Origins of Normal Distribution Histogram on Casio Activity Menu, STAT Enter data values F1 "GRPH", F6 "SET" Change Graph Type to "Hist" and hit EXE F1 "GPH1" "Start" is the first measurement, "Width" is the width of the interval Using the activity from last week, create a frequency histogram on your calculator for your group data. Change the intervals and compare the differences Distribution Data can be "distributed" in many different ways To the left To the right All jumbled Normal Distribution Many times, data is "distributed" around a certain value with NO BIAS Characteristics of "Normal Distribution" Has a bell shaped curve The mean is the center of the bell curve Symmetrical at the mean The mean, median, and mode are USUALLY the same value The area under the curve represents 100% of the data collected 50% of collected data is on the left of the mean 50% of collected data is on the right of the mean Not all bell curves have the exact same shape Summary: When is a group of values considered "normal?" When is a group of values not normal? 3

ity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity http://www.mathsisfun.com/data/quincunx.html 4

Can data be spread out differently? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 3, Lesson 2 1. Warm up 2. Notes Data Spread 3. ICA Matching Standard Deviations Standard 2.6 & 4.1 25 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: If an alien asked you how much a new pair of shoes cost, what would you tell them? Explain your answer. 5

Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Data Spread Mrs. Graff & Mrs. Frau both had their classes find the amount of time needed for 1 pendulum swing. Graff Frau Example 1 Find the mean (average) time. Then, plot the numbers on the number line below. Graff on top, Frau on bottom 1.15 1.20 1.22 1.25 1.30 What can be said about the two groups of data? Data Spread Standard Deviation Since not all data values are the same, we need to consider how "spread out" is the data in normal distributions Standard deviation is the proper math vocab. for "data spread" The "more spread out," the higher the standard deviation Green would have the HIGHEST standard deviation since it is the MOST spread out (left and right) Example 2 Write a description about the difference between Mrs. Graff's and Mrs. Frau's classes Summary: 6

In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity All of the data sets have the same mean. Match the data set to its bell curve based off of its standard deviation 7

ity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity Write down 3 different items that have roughly the same price Price: Order your items in order from lowest standard deviation to highest. 8

When is it appropriate to calculate standard deviation by hand? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 3, Lesson 3 1. Warm up 2. Notes Standard Deviation 3. ICA Excel Standard Deviation Standard 2.6 27 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: Write a brief description about standard deviation. Do not copy the definition from yesterday 9

Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Standard Deviation The Formula It says: 1. Find the average 2. Subtract the average from EVERY value 3. Square that number 4. Add them together 5. Divide by how many data points you found 6. Take the square root Example 1 Mr. Pieroni bought 8 different boyband CDs at Zia Records last weekend. Find the mean and standard deviation cost of boyband CDs. $6.50 $7.00 $8.25 $6.80 $9.10 $7.25 $5.00 $7.00 Example 2 Yesterday we said that Mrs. Graff's class data was less spread out than Mrs. Frau's. Prove it. Summary: 10

ity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity We can write computer programs to calculate standard deviation for us W3 L3 Standard Deviation.xlsx Click Me 11

How will new data values affect the standard deviation? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 3, Lesson 4 1. Warm up 2. Notes Exploring Standard Deviation 3. ICA Changing Numbers Standard 4.1 &2.6 29 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: Partner up. Repeat the phrase below to a neighbor 5 times each. "Standard deviation is a measurement of how spread out the data is in a distribution" 12

Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Exploring Standard Deviation Relation to Normal Distribution The mean is the center of the bell curve 68% of the data is 1 standard deviation away from the center 68% 95% of the data is 2 standard deviations away from the center 95% 99.7% of the data is 3 standard deviations away from the center 99.7% Example 1 The serial killer swung a small model pendulum 120 times. The mean was 22 seconds with a standard deviation of 1.5 seconds. How many trial runs took longer than 22 seconds? How many trial runs ended between 19 seconds and 25 seconds? Summary: 13

ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity Changing the Numbers Here are the speeds of 6 cars on Baseline Rd. 40 45 50 55 60 65 Write what you think would happen to the mean and standard deviation if... We changed 40 to 35 and 65 to 70 We changed 40 to 45 and 65 to 60 Actual Results: Actual Results: We saw one more car going 65 Actual Results: 14

ity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity Frequency Challenge Question: What percentage of people have an I.Q. from 80 90 OR 110 120? 70 80 90 100 110 120 130 I.Q. Score 15

Attachments W2L1.docx Project Survey.docx Project Survey.xlsx Project Questionnaire.docx Project Questionnaire.xlsx W3 L3 Standard Deviation.xlsx