Getting Help
Every now and again, we all need help. Below you will find various resources for getting help. The best way to get help is to use my office hours: that help is very personalized and can be the fastest way to overcome a challenge.
My math notes can also be helpful if you missed a class or a friend, parent/guardian or tutor needs to know what we covered in class.
Academic coaching is also an option for those who might want occasional or more regular help. There are also some online resources you could use too.
If there are other resources that you think might be useful to list here, please let me know.
My math notes can also be helpful if you missed a class or a friend, parent/guardian or tutor needs to know what we covered in class.
Academic coaching is also an option for those who might want occasional or more regular help. There are also some online resources you could use too.
If there are other resources that you think might be useful to list here, please let me know.
Math 4 Notes Sections
Andrew's Office Hours
- Mondays 3:30-4:00
- Wednesdays 11:45-12:15
- Fridays AM (by appointment)
Academic Coaching
- Mon-Thu @ 3:30 in Inclusion Room
- Wed early release: 2:30
- Join the elective
Online Resources
Online Tools
Other Years' Notes
Math 1 (coming soon!)
Math 2 (coming soon!)
Math 3 (coming soon!)
Math 2 (coming soon!)
Math 3 (coming soon!)
Math 4 Notes
Click on a Section (in the left sidebar) to scroll down to the table of the related notes. Notes are in the order we cover them in class.Functions and Function Notation
| No. | Topic/Description | Link |
|---|---|---|
| 1 | Functions (review) | |
| 2 | Types of Functions (review) | |
| 3 | Domain of a Function (review) | |
| 4 | Range of a Function (review) | |
| 5 | Evaluation of Functions (review) | |
| 6 | Graphing Linear Equations in Slope-Intercept Form (review) | |
| 7 | Obtaining the Equation of a Line: Slope and Intercept (review) | |
| 8 | Obtaining the Equation of a Line: Point and Slope (review) |
Piecewise Functions
| No. | Topic/Description | Link |
|---|---|---|
| 1 | Introduction to Rays | |
| 2 | The Equation of a Ray (End-Point Included) | |
| 3 | The Equation of a Ray (End-Point Not Included) | |
| 4 | The Equation of a Ray: More Examples | |
| 5 | Introduction to Line Segments | |
| 6 | The Equation of a Line Segment | |
| 7 | Other Functions with Restricted Domains | |
| 8 | Introduction to Piecewise Functions | |
| 9 | Introduction to Graphing Piecewise Functions | |
| 10 | Graphing Piecewise Functions: More Examples | |
| 11 | Evaluating Piecewise Functions | |
| 12 | Introduction to Obtaining Piecewise Function Equations | |
| 13 | Obtaining Piecewise Equations: More Examples |
Logarithmic Functions
| No. | Topic/Description | Link |
|---|---|---|
| 1 | Introduction to Logarithms | |
| 2 | Why Do Logarithms Matter? | |
| 3 | Common and Natural Logarithms | |
| 4 | Graphs of Logarithm Functions | |
| 5 | Properties of Logarithms | |
| 6 | Change of Base | |
| 7 | Expanding Logarithmic Expressions | |
| 8 | Condensing Logarithmic Expressions | |
| 9 | Solving Exponential Equations | |
| 10 | Solving Logarithmic Equations |
A Beginning Look at Calculus
| No. | Topic/Description | Link |
|---|---|---|
| 1 | Continuity (informal) | |
| 2 | Why Can’t We Divide By Zero? | |
| 3 | Graphs Involving Division by Zero | |
| 4 | Vertical Asymptotes | |
| 5 | Horizontal Asymptotes | |
| 6 | End Behavior of a Function | |
| 7 | Approach Statements | |
| 8 | Polynomial Functions | |
| 9 | Rational Functions | |
| 10 | Rational Functions: Holes versus Asymptotes | |
| 11 | Sketching Rational Functions | |
| 12 | Sketching Rational Functions, Part 2 | |
| 13 | Approximating the Area under a Curve with Rectangles | |
| 14 | Approximating Area: Left Endpoints versus Right Endpoints | |
| 15 | Approximating Area: Midpoints | |
| 16 | The Area of a Trapezoid | |
| 17 | Approximating Area under a Curve with Trapezoids | |
| 18 | Composite Functions | |
| 19 | Inverse Functions | |
| 20 | Finding Inverse Functions | |
| 21 | Inverse Functions and Reflecting across the line y = x | |
| 22 | The Slope of a Secant Line | |
| 23 | Finite Difference Graphs | |
| 24 | More Finite Difference Graphs | |
| 25 | Slope Statements | |
| 26 | Average Velocity on a Position Graph | |
| 27 | Average Velocity on a Velocity Graph | |
| 28 | The Inverse of the Exponential Function | |
| 29 | Even Functions | |
| 30 | Odd Functions |
Rates, Sums, Limits and Continuity
| No. | Topic/Description | Link |
|---|---|---|
| 1 | The Trapezoid Rule | |
| 2 | Summation Notation | |
| 3 | Obtaining Summation Notation | |
| 4 | Summation Notation and Function Notation | |
| 5 | Summation Notation and Area with Left Endpoint Rectangles | |
| 6 | Approximating Area Using Left Endpoint Rectangles | |
| 7 | The Intuitive Definition of a Limit | |
| 8 | One-Sided Limits | |
| 9 | The Existence of a Limit | |
| 10 | The Formal Definition of Continuity | |
| 11 | Estimating Instantaneous Velocity | |
| 12 | Evaluating Limits Algebraically: Type I | |
| 13 | Evaluating Limits Algebraically: Type II | |
| 14 | The Rules of Dominant Terms | |
| 15 | Factoring Review (Honors) |
Slope and Curve Analysis
| No. | Topic/Description | Link |
|---|---|---|
| 1 | Tangent Lines | |
| 2 | Slope Function for f(x) = x^2 | |
| 3 | Slope Function for f(x) = x^3 | |
| 4 | Slope Function for f(x) = x | |
| 5 | Slope Function for f(x) = x^n (The Power Rule) | |
| 6 | Slope Function for f(x) = a x^n (Vertical Stretch) | |
| 7 | Slope Function for f(x) = x^n + k (Vertical Translation) | |
| 8 | Slope Function for f(x) = (x - h)^n (Horizontal Shift) | |
| 9 | Slope Function for f(x) = a(x - h)^n + k (The General Power Rule) | |
| 10 | Sums of Terms and the General Power Rule | |
| 11 | Average Rate of Change (AROC) | |
| 12 | Instantaneous Rate of Change (IROC) |