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ADVANCED QUANTITATIVE REASONING (AQR)
YEAR-AT-A GLANCE
* You will find the AQR e-textbook under your EPISD Schoology account
AQR e- textbook UNITS
Unit I: Analyzing Numerical Data
Unit II: Probability
Unit III: Statistical Studies
Unit IV: Using Recursion in Models and Decision Making
Unit V: Using Functions in Models and Decision Making
Unit VI: Decision Making in Finance
Unit VII: Networks and Graphs
AQR e-textbook UNIT SECTIONS
Unit I: Analyzing Numerical Data
I.A Student Activity Sheet 1: Estimating Crowds .................................................. 1
I.A Student Activity Sheet 2: Filling Your Classroom with Tennis Balls ........................ 3
I.A Student Activity Sheet 3: Not Enough Numbers ............................................... 5
I.B Student Activity Sheet 4: Ratios in the Media ................................................. 7
I.B Student Activity Sheet 5: Changing Tires ...................................................... 12
I.C Student Activity Sheet 6: Final Grade Averages .............................................. 17
I.C Student Activity Sheet 7: Slugging Averages .................................................. 19
I.C Student Activity Sheet 8: Quarterback Ratings ............................................... 21
I.C Student Activity Sheet 9: Fan Cost Index ..................................................... 23
I.C Student Activity Sheet 10: Readability Indices ............................................... 26
I.C Student Activity Sheet 11: Simpson’s Paradox ............................................... 30
I.D Student Activity Sheet 12: Universal Product Codes ........................................ 31
I.D Student Activity Sheet 13: Credit Card Numbers ............................................ 34
Unit II: Probability
II.A Student Activity Sheet 1: Using Venn Diagrams .............................................. 1
II.A Student Activity Sheet 2: Using Tree Diagrams ............................................... 3
II.A Student Activity Sheet 3: Using Area Models .................................................. 8
II.A Student Activity Sheet 4: All-American Breakfast Choices ................................ 12
II.B Student Activity Sheet 5: Probability in Games ............................................. 14
II.B Student Activity Sheet 6: Driving and Risk ................................................... 16
II.B Student Activity Sheet 7: Stocks and Risk .................................................... 18
II.B Student Activity Sheet 8: Choosing Classes .................................................. 20
II.C Student Activity Sheet 9: Binomial Probability and Expected Value ..................... 22
II.C Student Activity Sheet 10: Expected Allowance ............................................. 25
Unit III: Statistical Studies
III.A Student Activity Sheet 1: Overview of Purpose, Design, and Studies .................... 1
III.A Student Activity Sheet 2: Treatment of Subjects .......................................... 11
III.A Student Activity Sheet 3: Margin of Error .................................................... 14
III.A Student Activity Sheet 4: Sampling Design and Methods .................................. 17
III.B Student Activity Sheet 5: Histograms ........................................................ 25
III.B Student Activity Sheet 6: Analyzing Graphical Displays ................................... 31
III.B Student Activity Sheet 7: Using Technology ................................................. 37
III.B Student Activity Sheet 8: Survey Design ..................................................... 45
III.C Student Activity Sheet 9: Introduction to Statistical Bias and Variability .............. 47
III.C Student Activity Sheet 10: Statistical Bias in Research Studies and Polls .............. 51
Unit IV: Using Recursion in Models and Decision Making
IV.A Student Activity Sheet 1: Using Scatterplots in Reports ................................... 1
IV.A Student Activity Sheet 2: Recursion and Linear Functions ................................. 8
IV.B Student Activity Sheet 3: Recursion and Exponential Functions ......................... 10
IV.B Student Activity Sheet 4: Comparing Models ................................................ 15
IV.C Student Activity Sheet 5: Newton’s Law of Cooling ........................................ 17
IV.C Student Activity Sheet 6: Rates of Change in Exponential Models ....................... 22
IV.D Student Activity Sheet 7: Modeling the Singapore Flyer .................................. 25
Unit V: Using Functions in Models and Decision Making
V.A Student Activity Sheet 1: Analyzing Linear Regression Equations ......................... 1
V.A Student Activity Sheet 2: Comparing Linear and Exponential Functions ................. 4
V.A Student Activity Sheet 3: Growth Model ....................................................... 6
V.B Student Activity Sheet 4: Length of Daylight ................................................ 10
V.B Student Activity Sheet 5: Crossing the Equator ............................................. 20
V.B Student Activity Sheet 6: Making Decisions from Cyclical Functions in Finance ....... 24
V.B Student Activity Sheet 7: Making Decisions from Cyclical Functions in Science
and Economics .................................................................................. 28
V.C Student Activity Sheet 8: Introducing Step and Piecewise Functions .................... 32
V.C Student Activity Sheet 9: Another Piecewise Function ..................................... 38
V.C Student Activity Sheet 10: Concentrations of Medicine .................................... 41
V.C Student Activity Sheet 11: Making Decisions from Step and Piecewise Models ......... 46
Unit VI: Decision Making in Finance
VI.A Student Activity Sheet 1: You Have to Get Money to Make Money ....................... 1
VI.A Student Activity Sheet 2: What Makes Money Work for You? .............................. 6
VI.A Student Activity Sheet 3: Time Value of Money ............................................. 8
VI.B Student Activity Sheet 4: Road to $1 Million ................................................ 10
VI.B Student Activity Sheet 5: A Cool Tool! ....................................................... 13
VI.C Student Activity Sheet 6: Investing As You Go .............................................. 19
VI.C Student Activity Sheet 7: Investment Probability .......................................... 23
VI.D Student Activity Sheet 8: Making Sense of Credit .......................................... 25
VI.D Student Activity Sheet 9: Understanding Credit Card Debt ............................... 28
VI.D Student Activity Sheet 10: Buying a Losing Investment ................................... 29
Unit VII: Networks and Graphs
VII.A Student Activity Sheet 1: Euler Circuits and Paths ......................................... 1
VII.A Student Activity Sheet 2: Dominoes .......................................................... 6
VII.A Student Activity Sheet 3: Weighted Graphs ................................................. 7
VII.A Student Activity Sheet 4: Hamiltonian Circuits and Paths ............................... 10
VII.A Student Activity Sheet 5: Knight’s Tour ..................................................... 13
VII.B Student Activity Sheet 6: High-Speed Internet ............................................. 14
VII.B Student Activity Sheet 7: Minimal Spanning Trees ........................................ 16
VII.B Student Activity Sheet 8: Kruskal’s Algorithm ............................................. 18
VII.C Student Activity Sheet 9: Map Coloring ..................................................... 20
VII.C Student Activity Sheet 10: Coloring Maps and Scheduling ................................ 22
VII.D Student Activity Sheet 11: Activity Graphs ................................................. 26
VII.D Student Activity Sheet 12: Building a Robot ................................................ 30
* You will find the AQR e-textbook under your EPISD Schoology account
AQR e- textbook UNITS
Unit I: Analyzing Numerical Data
Unit II: Probability
Unit III: Statistical Studies
Unit IV: Using Recursion in Models and Decision Making
Unit V: Using Functions in Models and Decision Making
Unit VI: Decision Making in Finance
Unit VII: Networks and Graphs
AQR e-textbook UNIT SECTIONS
Unit I: Analyzing Numerical Data
I.A Student Activity Sheet 1: Estimating Crowds .................................................. 1
I.A Student Activity Sheet 2: Filling Your Classroom with Tennis Balls ........................ 3
I.A Student Activity Sheet 3: Not Enough Numbers ............................................... 5
I.B Student Activity Sheet 4: Ratios in the Media ................................................. 7
I.B Student Activity Sheet 5: Changing Tires ...................................................... 12
I.C Student Activity Sheet 6: Final Grade Averages .............................................. 17
I.C Student Activity Sheet 7: Slugging Averages .................................................. 19
I.C Student Activity Sheet 8: Quarterback Ratings ............................................... 21
I.C Student Activity Sheet 9: Fan Cost Index ..................................................... 23
I.C Student Activity Sheet 10: Readability Indices ............................................... 26
I.C Student Activity Sheet 11: Simpson’s Paradox ............................................... 30
I.D Student Activity Sheet 12: Universal Product Codes ........................................ 31
I.D Student Activity Sheet 13: Credit Card Numbers ............................................ 34
Unit II: Probability
II.A Student Activity Sheet 1: Using Venn Diagrams .............................................. 1
II.A Student Activity Sheet 2: Using Tree Diagrams ............................................... 3
II.A Student Activity Sheet 3: Using Area Models .................................................. 8
II.A Student Activity Sheet 4: All-American Breakfast Choices ................................ 12
II.B Student Activity Sheet 5: Probability in Games ............................................. 14
II.B Student Activity Sheet 6: Driving and Risk ................................................... 16
II.B Student Activity Sheet 7: Stocks and Risk .................................................... 18
II.B Student Activity Sheet 8: Choosing Classes .................................................. 20
II.C Student Activity Sheet 9: Binomial Probability and Expected Value ..................... 22
II.C Student Activity Sheet 10: Expected Allowance ............................................. 25
Unit III: Statistical Studies
III.A Student Activity Sheet 1: Overview of Purpose, Design, and Studies .................... 1
III.A Student Activity Sheet 2: Treatment of Subjects .......................................... 11
III.A Student Activity Sheet 3: Margin of Error .................................................... 14
III.A Student Activity Sheet 4: Sampling Design and Methods .................................. 17
III.B Student Activity Sheet 5: Histograms ........................................................ 25
III.B Student Activity Sheet 6: Analyzing Graphical Displays ................................... 31
III.B Student Activity Sheet 7: Using Technology ................................................. 37
III.B Student Activity Sheet 8: Survey Design ..................................................... 45
III.C Student Activity Sheet 9: Introduction to Statistical Bias and Variability .............. 47
III.C Student Activity Sheet 10: Statistical Bias in Research Studies and Polls .............. 51
Unit IV: Using Recursion in Models and Decision Making
IV.A Student Activity Sheet 1: Using Scatterplots in Reports ................................... 1
IV.A Student Activity Sheet 2: Recursion and Linear Functions ................................. 8
IV.B Student Activity Sheet 3: Recursion and Exponential Functions ......................... 10
IV.B Student Activity Sheet 4: Comparing Models ................................................ 15
IV.C Student Activity Sheet 5: Newton’s Law of Cooling ........................................ 17
IV.C Student Activity Sheet 6: Rates of Change in Exponential Models ....................... 22
IV.D Student Activity Sheet 7: Modeling the Singapore Flyer .................................. 25
Unit V: Using Functions in Models and Decision Making
V.A Student Activity Sheet 1: Analyzing Linear Regression Equations ......................... 1
V.A Student Activity Sheet 2: Comparing Linear and Exponential Functions ................. 4
V.A Student Activity Sheet 3: Growth Model ....................................................... 6
V.B Student Activity Sheet 4: Length of Daylight ................................................ 10
V.B Student Activity Sheet 5: Crossing the Equator ............................................. 20
V.B Student Activity Sheet 6: Making Decisions from Cyclical Functions in Finance ....... 24
V.B Student Activity Sheet 7: Making Decisions from Cyclical Functions in Science
and Economics .................................................................................. 28
V.C Student Activity Sheet 8: Introducing Step and Piecewise Functions .................... 32
V.C Student Activity Sheet 9: Another Piecewise Function ..................................... 38
V.C Student Activity Sheet 10: Concentrations of Medicine .................................... 41
V.C Student Activity Sheet 11: Making Decisions from Step and Piecewise Models ......... 46
Unit VI: Decision Making in Finance
VI.A Student Activity Sheet 1: You Have to Get Money to Make Money ....................... 1
VI.A Student Activity Sheet 2: What Makes Money Work for You? .............................. 6
VI.A Student Activity Sheet 3: Time Value of Money ............................................. 8
VI.B Student Activity Sheet 4: Road to $1 Million ................................................ 10
VI.B Student Activity Sheet 5: A Cool Tool! ....................................................... 13
VI.C Student Activity Sheet 6: Investing As You Go .............................................. 19
VI.C Student Activity Sheet 7: Investment Probability .......................................... 23
VI.D Student Activity Sheet 8: Making Sense of Credit .......................................... 25
VI.D Student Activity Sheet 9: Understanding Credit Card Debt ............................... 28
VI.D Student Activity Sheet 10: Buying a Losing Investment ................................... 29
Unit VII: Networks and Graphs
VII.A Student Activity Sheet 1: Euler Circuits and Paths ......................................... 1
VII.A Student Activity Sheet 2: Dominoes .......................................................... 6
VII.A Student Activity Sheet 3: Weighted Graphs ................................................. 7
VII.A Student Activity Sheet 4: Hamiltonian Circuits and Paths ............................... 10
VII.A Student Activity Sheet 5: Knight’s Tour ..................................................... 13
VII.B Student Activity Sheet 6: High-Speed Internet ............................................. 14
VII.B Student Activity Sheet 7: Minimal Spanning Trees ........................................ 16
VII.B Student Activity Sheet 8: Kruskal’s Algorithm ............................................. 18
VII.C Student Activity Sheet 9: Map Coloring ..................................................... 20
VII.C Student Activity Sheet 10: Coloring Maps and Scheduling ................................ 22
VII.D Student Activity Sheet 11: Activity Graphs ................................................. 26
VII.D Student Activity Sheet 12: Building a Robot ................................................ 30