EmeryAlgebra Notes2012-2013

CW 1: TI-83 Scavenger Hunt

Unit 1Exploring Data

Tuesday August 28, 2012

Lesson 1: Exploring Data

Journal #1

Investigation 1: Collecting and Analyzing Data

Project 1 Answer questions 1a, b, c, d

HW #1

Wednesday August 29, 2012

Journal #2

Project 2Answer questions 1, 2, 3 and 4b – Insert group data for class data

Project 3Answer question 2 just based on your group’s data

HW #1

Thursday August 30, 2012

Journal #3

Investigation 2:Describing patterns in data(Answer in notes - everyone)

Answer questions 2-6

Friday August 31, 2012

Journal #4

Lesson 2: Shapes and Centers

Investigation 1: Shapes of Distributions

AAA Ratings 2001

How many of you would like your own car in a few years?

How many of you do you think will get to select what car you drive?

What criteria will you use to select your vehicle?

COST

Gather information from car mags.

Safety of the vehicle

Appearance – color, rims

Fuel economy

Engine health and strength

How many years used

Mileage already

Car fox – how many accidents

Overall condition – inside and out

Size

Perception

No liens/ not hot

What might your parents look for in selecting a vehicle?

Safety rating – air bags, seatbelts condition, recalls from manufacturer

Cost

Size

Navigation system/alarm

Fuel economy

Condition - Not stolen/hotwired

Mileage on vehicle

Tuesday, September 4, 2012

Journal # 5

p. 14: Article on car list from AAA, continued

In your notes:

Think About This Situation p. 15 (discuss with your study group)

a. Buick LeSabre

b. Use a bar graph? Average all the categories? Points per car? Average points per car?

c. No, safety was not evaluated.

CW #4 Investigation 1: ANSWERSp.16: 1, 2, 4-6 (Write as a lab to be submitted for CW grade. One submission for each table).

  1. a-c responses vary according to the vehicle the group chose to study.
  2. Use Master 9a and 9b
  3. a minimum is 6 (Toyota MR2) and minimum is 9 (Volve V40 wagon)
  4. No outliers or unusual values
  5. The plot has one peak at 8.
  6. The plot is not quite symmetric. It does appear to be slightly skewed to the lower ratings, or skewed left.
  7. There are no gaps in the values
  8. The distribution is centered around 8.
  9. The values do not vary much. All rating clustered between 6 – 9.

4.

  1. The PT Cruiser has three ratings of 9.
  2. The PT Cruiser has no ratings of 6.
  3. Most of the ratings of the PT Cruiser are relatively high. The distribution is not symmetric. It has a peak at 8 and a gap at 6. the minimum is 4, for fuel economy, the maximum is 9, for three categories, and the center is about 7.5. No outliers.
  1. See graph of the histogram.
  2. The height of a bar on this histogram tells us how many different categories had that rating. For example, the Volvo V40 had only one category that was rated 6.
  3. The Volvo has a symmetric distribution centered at 8 which is also where the peak of distribution lies. It has a minimum of 6, for fuel economy and a maximum of 10 for cargo space. There are no gaps or outliers.
  4. Both distributions are centered near 8. most ratings are 7, 8, 9.Data for Volvo is symmetric and PT is not symmetric. The PT has 2 low ratings and a gap, but the Volvo has neither of these.
  5. Poverty levels
  6. 3 of the states have 16% of the people under the poverty level.
  7. The state with the largest percentage has 20% of persons living in poverty.
  8. The states with the smallest percentage have 7% of persons living below the poverty level.
  9. Seven states have 15% or more of their population living in poverty.
  10. Not symmetric, skewed right, two peaks – 8 and 10, gap at 17-18. centered around 11. Maximum is 20 and minimum is 7.

Master 9a will help you and is an assignment for CW T\today.

Wednesday, September 5, 2012

Investigation 1: Shapes of Distributions

Journal #6

Review 9a and 9b Master.

Read from p. 19 – 23

EVERYONE TAKE NOTES – MAY NEED LATER FOR REFERENCE!

Reminders: Vocab due next Tuesday, test most likely next Tuesday

Today:

  1. Define first 10 words – Describe – skewed left
  2. Finish Investigation 2.2 Producing Plots with Technology Complete problems

p. 20-23:1 – 6 EVERYONE TAKE NOTES – MAY NEED LATER FOR REFERENCE!

3. Calculator Contracts

Homework #4 DUE TOMORROW

Thursday September 6, 2012

Journal #7

Agenda

  1. p. 20-23:1 – 6 completed – Study groups complete histogram sheet

TURN IN LAB (20 min)

  1. HW – any questions? Then turn in 1:30 – 1:40
  2. Notes on Central Tendency 1:40 – 1:53

Reminders:

  1. Calculator contracts into tub
  2. Don’t forget vocabulary due Tuesday.
  3. Journals to be graded in the next few days.

p. 20-23:1 – 6

Homework: #5

Friday, September 7, 2012

Journal #8 (all will be graded next week)

Go over HW #5 front page. Finish both sides before END of class on Monday.

(CW#3) Complete E-43 and E-38. Submit for classwork grade. The puzzle is not graded, just the questions and the work. Once students completed one side, they submitted. The other will be finished Monday.

Reminders:

  1. Unit Test early next week.
  2. Vocabulary definitions are due on test day.
  3. Calculator contracts due ASAP.

September 10, 2012

Journal #9 (all will be graded this week)

Vocabulary: Mode – p.16

Mode - is the data element that occurs most often in the set.

Review – Quiz format: 72 points7 questions

  1. Construct a plot using a set of data. This would be a line or dot plot.
  2. Find median, mean and mode. Need to be able to interpret them.
  3. Given a histogram, estimate the mean, describe the distribution and explain the data.

Today:

  1. Finish vocabulary
  2. Complete HW 5
  3. Start HW #6 FRONT SIDE tonight.

MAD – Mean absolute deviation

IQR – Inter-quartile range

Topics covered to date:

Quality study group guidelines

How to use TI to graph lines and histograms

Describing patterns in data

Critiquing others descriptions of data

Analyze graphic representations of data (graphs, lists, charts)

Describe central tendencies and shapes of data set

Tuesday, September 11, 2012

Journal #10

QUIZ

Reminders:

Vocabulary due CW2

Hw tonight is BACK side of HW #6

Any make up work due,.

Wednesday, September 12, 2012

Journal #11

Thursday, September 13, 2012

Journal #12

Lesson 3: Variability

Investigation 1 – Measuring Variability: The Five Number Summary

Variability – the differences in results whether an opinion or fact,

experiment or observation.

How it is measured

How it is interpreted

Whether it is appropriate for the situation.

  1. John is most likely tall and thin, could be described as a column shape.
  2. a – f
  3. a. Another name for the 50th percentile is the median.

b. The lower quartile is about 44” or 111cm.

c. The upper quartile is about 46.5” or 118cm.

Lower quartile–The lowest 25%tile of the data.

Upper quartile–The highest 25%tile of the data.

The Five Number Summary p.48

minimum value – lowest value in set

lower quartile – middle number between the median and the min

median – middle number

upper quartile – middle number between median and max

maximum value – highest value in set

Distribution description – gaps, skewed, spread, outliers, symmetric

HW # 7 – due tomorrow

Friday, September 14, 2012

Journal #13

Variability, continued…

Review 5 number summary

Sketch box plot

Reassign roles in group

Coordinators – find seconds clock to use for stopwatch

Recorders – create listing

Investigation 3.2 Picturing Variability

Table of Names of group members and your pulse rate for 60 seconds

Complete problems, 1 – 3a and submit for Lab grade.

September 19, 2012

Journal #16

Unit 1

Lesson 3

Investigation 3

Mean Absolute Deviation - The mean absolute deviation of a

set of data is the average distance between each data value and the

mean.

1. Find the mean.

2. Find the distance between each data value and the mean. That is,

find the absolute value of the difference between each data value

and the mean.

  1. Find the average of those differences.

Start:Stop: 40 seconds

With time collected, submit through Navnet. Once we have the class results, we will find the mean absolute deviation of your estimated time using 40 seconds as our mean.

Homework #8b

September 20, 2012

Journal #17

Unit 1

Lesson 3

Investigation 3.3

CW #5: p.64: 4 and 5. This is reviewing

mean absolute deviation (MAD).

Homework #8c: List the ages of you, your siblings, aunts, uncles, parents and cousins. From this list, find the mean absolute deviation.

Friday, September 27, 2012

Journal #22

HW due was #10

In study groups, CW problems are:

CW #11:

p.65: #7 (2 pts)

p.67: #3a - e (6 pts)

p.67 Checkpoint a and b (group will answer) (2 pts)

p.71: #4a - e (5 pts)

Monday, October 1, 2012

Journal #23

Lesson 4: Relationships and Trends

4.1 Scatterplots
CW #12:

p.74: Read page and discuss TATS questions

a. No not always true.

b. No, the Chevrolet Camaro and the Ford Mustang do not have the lowest ratings for cargo space.

c. In general, yes that is the trend.

d. Nothe buick Le Sabre has excellent ratings for both.

p.75: 1 – 3 submit for grade (individual) (19 points)

p.78: Checkpoint a, b, c, d – answer as a group and be ready to discuss at end of class.

Study Group submits – one per table

HW: #11

Tuesday, October 2, 2012

Journal #24

Discuss Homework #11 (collect)

Investigation 4.2 Plots over time

CW: Read p.80. Complete p. 81: 1-4 CW # 13 (individual grade)

Tuesday, October 2, 2012

Journal #25

Thursday, October 4, 2012

Journal #26

Friday, October 5, 2012

Journal #27

Monday, October 8, 2012

Journal #28

Go over Quiz – 4, 10, 11

Lesson 5: Looking Back

Read p. 94-95

  1. Complete # 1-3 (CW#14 everyone individual)
  1. Outline Unit 1 – Write a detailed outline of the 4 lessons we

have worked. (CW #14 everyone individual)

  1. Checkpoint p.96 (answers submitted as a studygroup)

Unit 1 Outline

Lesson 1: Exploring Data

Study Vocabulary

HW: #13

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