Laying the Foundation

ALGEBRA
GEOMETRY
ALGEBRA 2
PRE-CALCULUS
ANALYSIS OF FUNCTIONS


1. Introducing Interval Notation
34-39
2. Characteristics of Functions
40-47
3. A Transformation Story
48-53
4. Even/Odd Functions
72-77
5. Exploring Inequalities
82-87
6. Parametric Equations
106-115
7. Composition of Functions Graphically
116-119
8. Compositions of Functions
120-129
9. Composition of Functions Exploration
130-135
10. Graphing Composition of Functions
136-143
11. Characteristics of Discontinuous Piecewise Functions
78-81
12. Solving Equations Graphically Is There a Solution?


ANALYSIS OF SPECIFIC FUNCTIONS


Linear Functions:

1. Piecewise Functions
94-105
2. Composition of Functions
120-129
3. Piecewise Regression
370-379
4. Systems of Linear Equations
88-93

ANALYSIS OF SPECIFIC FUNCTIONS


Quadratic:

1. Transformation of Functions Exploration
54-69
2. Collecting Linear and Quadratic Data with Cardboard Tubes
144-151
3. Quadratic Optimization
158-165
4. Accumulation with a Quadratic Function
178-189
5. Tangents to Circles in Algebra 2
214-219
6. Piecewise Regression
370-379



Exponential:

1. Solving Systems of Exponential, Logarithmic and 2. Linear Equations
342-347
3. Linearization of Exponential Data
348-359
4. Piecewise Regression
370-379
5. Exponential and Natural Logarithmic Functions
316-323
6. Exponential Growth and Decay
324-333
7. Motion Problems Using Exponential and Logarithmic Functions


LIMITS


Rational Functions with Removable Discontinuities
244-255
Rational Function Exploration
262-267
Rational Functions Long Run Behavior
268-275
Rational Functions Short Run Behavior
276-289

OPTIMIZATION


Quadratic Optimization
158-165
Optimization with Rational Functions
300-305
A Rational Function Optimization Problem
306-309

RATE OF CHANGE


Piecewise Functions 94-
94-105
Distance, Speed and Velocity Functions
200-213
Quadratic Functions Adaptation of AP Calculus 1997 AB-2
152-157

POSITION/VELOCITY/ACCELERATION


Piecewise Functions
94-105
Parametric Equations
106-115
Particle Moving Along a Horizontal Line
200-213
Distance, Speed and Velocity Functions
190-199
Piecewise and Rational Function—Adaptation of AP Calculus 2000 AB2/BC2
290-299
Motion Problems Using Exponential and Logarithmic Functions
334-341

AREAS AND VOLUMES


1. Systems of Linear Equations
88-93
2. Quadratic Optimization
158-165
3. Rotated Conics
232-243
4. Optimization with Rational Functions
300-305
5. A Rational Function Optimization Problem
306-309





























ALGEBRA
GEOMETRY
ALGEBRA 2
PRE-CALCULUS
ANALYSIS OF FUNCTIONS


1. Introducing Interval Notation
34-39
2. Characteristics of Functions
40-47
3. A Transformation Story
48-53
4. Even/Odd Functions
72-77
5. Exploring Inequalities
82-87
6. Parametric Equations
106-115
7. Composition of Functions Graphically
116-119
8. Compositions of Functions
120-129
9. Composition of Functions Exploration
130-135
10. Graphing Composition of Functions
136-143
11. Characteristics of Discontinuous Piecewise Functions
78-81
12. Solving Equations Graphically Is There a Solution?


ANALYSIS OF SPECIFIC FUNCTIONS


Linear Functions:

1. Piecewise Functions
94-105
2. Composition of Functions
120-129
3. Piecewise Regression
370-379
4. Systems of Linear Equations
88-93

ANALYSIS OF SPECIFIC FUNCTIONS


Quadratic:

1. Transformation of Functions Exploration
54-69
2. Collecting Linear and Quadratic Data with Cardboard Tubes
144-151
3. Quadratic Optimization
158-165
4. Accumulation with a Quadratic Function
178-189
5. Tangents to Circles in Algebra 2
214-219
6. Piecewise Regression
370-379



Exponential:

1. Solving Systems of Exponential, Logarithmic and 2. Linear Equations
342-347
3. Linearization of Exponential Data
348-359
4. Piecewise Regression
370-379
5. Exponential and Natural Logarithmic Functions
316-323
6. Exponential Growth and Decay
324-333
7. Motion Problems Using Exponential and Logarithmic Functions


LIMITS


Rational Functions with Removable Discontinuities
244-255
Rational Function Exploration
262-267
Rational Functions Long Run Behavior
268-275
Rational Functions Short Run Behavior
276-289

OPTIMIZATION


Quadratic Optimization
158-165
Optimization with Rational Functions
300-305
A Rational Function Optimization Problem
306-309

RATE OF CHANGE


Piecewise Functions 94-
94-105
Distance, Speed and Velocity Functions
200-213
Quadratic Functions Adaptation of AP Calculus 1997 AB-2
152-157

POSITION/VELOCITY/ACCELERATION


Piecewise Functions
94-105
Parametric Equations
106-115
Particle Moving Along a Horizontal Line
200-213
Distance, Speed and Velocity Functions
190-199
Piecewise and Rational Function—Adaptation of AP Calculus 2000 AB2/BC2
290-299
Motion Problems Using Exponential and Logarithmic Functions
334-341

AREAS AND VOLUMES


1. Systems of Linear Equations
88-93
2. Quadratic Optimization
158-165
3. Rotated Conics
232-243
4. Optimization with Rational Functions
300-305
5. A Rational Function Optimization Problem
306-309































ALGEBRA
GEOMETRY
ALGEBRA 2
ANALYSIS OF FUNCTIONS


1. Introducing Interval Notation
34-39
2. Characteristics of Functions
40-47
3. A Transformation Story
48-53
4. Even/Odd Functions
72-77
5. Exploring Inequalities
82-87
6. Parametric Equations
106-115
7. Composition of Functions Graphically
116-119
8. Compositions of Functions
120-129
9. Composition of Functions Exploration
130-135
10. Graphing Composition of Functions
136-143
11. Characteristics of Discontinuous Piecewise Functions
78-81
12. Solving Equations Graphically Is There a Solution?