Recorded Lessons for Honors Precalc
The lessons below are ones I have pre-recorded to help support students who were absent or students who need a refresher from when it was covered in class. Please fill in your guided note packet as you watch each lesson below.
Chapter 1
1.1 Linear Equations
1.2 Functions, Notation, Domain of Equations
1.3 Day 1 Domain/Range of Graphs, Key Features
1.3 Day 2 Piecewise Functions and Odd and Even
1.4 Function Transformations
1.5 Day 1 Combinations of Functions
1.5 Day 2 Composition of Functions
1.6 Day 1 Find Inverse Function and Verify Inverse Functions
1.6 Day 2 Graphs of Inverse Functions and if Inverse Exists
1.7 Linear Models and Scatterplots
Chapter 2
Review of Factoring and Solving by Completing the Square
2.1 Day 1 Write and Graph in Vertex Form
2.1 Day 2 Convert Between Three Forms of Quadratics and Use Calculator
2.2 Day 1 End Behavior and Zeros
Derivation for Quadratic Formula
2.2 Day 2 Multiplicity, Writing and Graphing Polynomials
2.3 Day 1 Polynomial Long and Synthetic Division
2.3 Day 2 Factor Theorem, Rational Root Test, and Finding All Zeros
2.4 Complex Solutions and Operations with Complex Numbers
2.5 Fundamental Theorem of Algebra and Finding all Zeros
2.6 Asymptotes and Domain of Rational Functions
2.7 Day 1 Graphs of Rational Functions
2.7 Day 2 Slant Asymptotes
Chapter 3
3.1 Day 1 Exponential Functions, Their Graphs and Transformations
3.1 Day 2 Compound Interest, Graph y=ae^bx, Applications
3.2 Day 1 Definition of Logarithms and Basic Properties
3.2 Day 2 Graphs of loga(x), ln(x), and Transformations
3.3 Log Properties
3.4 Day 1 Solving Exponential Functions
3.4 Day 2 Solving Log Functions
3.5 Day 1 Writing Exponential Growth and Decay Equations from Points
3.5 Day 2 Log and Logistic Models
Chapter 3 Review
Chapter 3 Practice Test Worked Solutions
Chapter 4 Part 1
4.1 Day 1 Radians and Converting Between Degrees and Radians
4.1 Day 2 Linear and Angular Speed and Other Radian Applications
4.3 Day 1 Right Triangle Trig (NOTE: there is an error in the video at 11:47 and 12:10. The sin(theta) = 5/13 and the cosecant(theta) = 13/5)
4.3 Day 2 Trig Identities and Applications
4.2 Day 1 Trig Function Values on the Unit Circle
4.2 Day 2 Domain and Period of the Sine and Cosine Functions
4.4 Trig Functions of Any Angle
Chapter 4 Part 1 Review
Chapter 4 Part 1 Practice Test Worked Solutions
Semester 1 Semester Test Prep
Semester 1 Practice Test Worked Solutions (*Error Correction: #32 of this video should have had the x-coordinate being negative.)
Chapter 4 Part 2
4.5 Day 1 Graphs of Sine and Cosine with Scaling Transformations
4.5 Day 2 Horizontal and Vertical Translations & Sketching Graphs
4.5 Day 3 Equations with All Four Transformations & Writing an Equation
4.6 Day 1 Graphs Tangent and Cotangent
4.6 Day 2 Graphs of Cosecant, Secant, and Damped Trig Graphs
Preview for Investigation of Daylight Hours Throughout the Year Using Trig Functions
4.8 Solve Right Triangles and Trig Applications with Inverse Trig Functions
4.7 Day 1 Evaluating Inverse Trig Functions and Their Graphs
4.7 Day 2 Using Inverse Properties with Compositions
Chapter 4 Part 2 Practice Test Worked Solutions
Chapter 5
5.1 Using Fundamental Identities
5.2 Day 1 Verifying Trig Identities
5.2 Day 2 Verifying Trig Identities Using Conjugates and Working Both Sides
5.3 Day 1 Solving Trig Equations
5.3 Day 2 Solving Trig Equations of Quadratic Type and More
Proving Sine Sum Formula, Double Angle Formulas, and Power Reducing Formulas
Solutions for Proving the Cosine Sum Formula and Half-Angle Formulas Worksheet (click link for video)
5.4 Sum and Difference Formulas
5.5 Double Angle, Half Angle, and Power Reducing Formulas
Chapter 5 Practice Test Worked Solutions
Probability and Stats Refresher for ACT/SAT
PS1 Counting Principle, Factorials, and Permutations
PS2 Combinations and Conditional Probability
PS3 Mean, Median, Mode and Expected Value
Chapter 6
6.1 Day 1 Proving the Law of Sines and Basic Examples
6.1 Day 2 Ambiguous Cases and Areas of Oblique Triangles using Law of Sines
6.2 Day 1 Proving Law of Cosines and Basic Examples
6.2 Day 2 Proving Heron's Formula and Applications of Law of Cosines
6.3 Day 1 Vector Operations
6.3 Day 2 Direction Angles, Finding Component Form, and Speed/Direction
Chapter 9
9.1 Equation for a Circle - Derive and Apply
9.2 Equation for an Ellipse - Derive, Apply, and Eccentricity
9.5 Graphing Polar Coordinates and Coordinate Conversion
Chapter 6 and 9 Practice Test Worked Solutions
Chapter 7
7.1/7.2 Systems of Equations in 2 Variables: Solving and Applications
7.3 Solving a System of Equations Through Gaussian Elimination
7.4 Matrices, Gauss Jordan Elimination and RREF in Calculator
7.5 Day 1 Matrix Operations
7.5 Day 2 Operations with a Calculator and Applications - If you don't have a graphing calculator to do the problems, you can use Desmos as well: DESMOS MATRIX CALCULATOR (CLICK FOR LINK)
7.6 Define and Derive the Inverse Matrix
7.6/7.7 Use Inverse Matrices to Solve and Determinants for 2x2
Chapter 7 Practice Test Worked Solutions
Chapter 11
11.1 Day 1 Limit Definition and Limits that Exist
11.1 Day 2 Limits that Do Not Exist and 11.2 Techniques for Limits that D.N.E. Originally
11.2 Using Technology, One-Sided Limits
11.3 Day 1 Tangent Line at a Point
11.3 Day 2 Tangent Line in General (Derivative)
11.3 Day 3 Application of the Derivative
Chapter 11 Practice Test Worked Solutions
Semester 2 Review
Honors Precalculus Semester 2 Practice Test Answers Video (Through Problem 17 - First Half) - CLICK LINK TO OPEN
I made an error on the second graph of problem 2. I graphed it as a cosine instead of a sine function. I redid a video of me doing just this problem correctly here: https://www.loom.com/share/a0b815ad3c1d433e8628a0dda7da15cc
Honors Precalculus Semester 2 Practice Test Answers Video (Second Half of Practice Test) - CLICK LINK TO OPEN
Chapter 1
1.1 Linear Equations
1.2 Functions, Notation, Domain of Equations
1.3 Day 1 Domain/Range of Graphs, Key Features
1.3 Day 2 Piecewise Functions and Odd and Even
1.4 Function Transformations
1.5 Day 1 Combinations of Functions
1.5 Day 2 Composition of Functions
1.6 Day 1 Find Inverse Function and Verify Inverse Functions
1.6 Day 2 Graphs of Inverse Functions and if Inverse Exists
1.7 Linear Models and Scatterplots
Chapter 2
Review of Factoring and Solving by Completing the Square
2.1 Day 1 Write and Graph in Vertex Form
2.1 Day 2 Convert Between Three Forms of Quadratics and Use Calculator
2.2 Day 1 End Behavior and Zeros
Derivation for Quadratic Formula
2.2 Day 2 Multiplicity, Writing and Graphing Polynomials
2.3 Day 1 Polynomial Long and Synthetic Division
2.3 Day 2 Factor Theorem, Rational Root Test, and Finding All Zeros
2.4 Complex Solutions and Operations with Complex Numbers
2.5 Fundamental Theorem of Algebra and Finding all Zeros
2.6 Asymptotes and Domain of Rational Functions
2.7 Day 1 Graphs of Rational Functions
2.7 Day 2 Slant Asymptotes
Chapter 3
3.1 Day 1 Exponential Functions, Their Graphs and Transformations
3.1 Day 2 Compound Interest, Graph y=ae^bx, Applications
3.2 Day 1 Definition of Logarithms and Basic Properties
3.2 Day 2 Graphs of loga(x), ln(x), and Transformations
3.3 Log Properties
3.4 Day 1 Solving Exponential Functions
3.4 Day 2 Solving Log Functions
3.5 Day 1 Writing Exponential Growth and Decay Equations from Points
3.5 Day 2 Log and Logistic Models
Chapter 3 Review
Chapter 3 Practice Test Worked Solutions
Chapter 4 Part 1
4.1 Day 1 Radians and Converting Between Degrees and Radians
4.1 Day 2 Linear and Angular Speed and Other Radian Applications
4.3 Day 1 Right Triangle Trig (NOTE: there is an error in the video at 11:47 and 12:10. The sin(theta) = 5/13 and the cosecant(theta) = 13/5)
4.3 Day 2 Trig Identities and Applications
4.2 Day 1 Trig Function Values on the Unit Circle
4.2 Day 2 Domain and Period of the Sine and Cosine Functions
4.4 Trig Functions of Any Angle
Chapter 4 Part 1 Review
Chapter 4 Part 1 Practice Test Worked Solutions
Semester 1 Semester Test Prep
Semester 1 Practice Test Worked Solutions (*Error Correction: #32 of this video should have had the x-coordinate being negative.)
Chapter 4 Part 2
4.5 Day 1 Graphs of Sine and Cosine with Scaling Transformations
4.5 Day 2 Horizontal and Vertical Translations & Sketching Graphs
4.5 Day 3 Equations with All Four Transformations & Writing an Equation
4.6 Day 1 Graphs Tangent and Cotangent
4.6 Day 2 Graphs of Cosecant, Secant, and Damped Trig Graphs
Preview for Investigation of Daylight Hours Throughout the Year Using Trig Functions
4.8 Solve Right Triangles and Trig Applications with Inverse Trig Functions
4.7 Day 1 Evaluating Inverse Trig Functions and Their Graphs
4.7 Day 2 Using Inverse Properties with Compositions
Chapter 4 Part 2 Practice Test Worked Solutions
Chapter 5
5.1 Using Fundamental Identities
5.2 Day 1 Verifying Trig Identities
5.2 Day 2 Verifying Trig Identities Using Conjugates and Working Both Sides
5.3 Day 1 Solving Trig Equations
5.3 Day 2 Solving Trig Equations of Quadratic Type and More
Proving Sine Sum Formula, Double Angle Formulas, and Power Reducing Formulas
Solutions for Proving the Cosine Sum Formula and Half-Angle Formulas Worksheet (click link for video)
5.4 Sum and Difference Formulas
5.5 Double Angle, Half Angle, and Power Reducing Formulas
Chapter 5 Practice Test Worked Solutions
Probability and Stats Refresher for ACT/SAT
PS1 Counting Principle, Factorials, and Permutations
PS2 Combinations and Conditional Probability
PS3 Mean, Median, Mode and Expected Value
Chapter 6
6.1 Day 1 Proving the Law of Sines and Basic Examples
6.1 Day 2 Ambiguous Cases and Areas of Oblique Triangles using Law of Sines
6.2 Day 1 Proving Law of Cosines and Basic Examples
6.2 Day 2 Proving Heron's Formula and Applications of Law of Cosines
6.3 Day 1 Vector Operations
6.3 Day 2 Direction Angles, Finding Component Form, and Speed/Direction
Chapter 9
9.1 Equation for a Circle - Derive and Apply
9.2 Equation for an Ellipse - Derive, Apply, and Eccentricity
9.5 Graphing Polar Coordinates and Coordinate Conversion
Chapter 6 and 9 Practice Test Worked Solutions
Chapter 7
7.1/7.2 Systems of Equations in 2 Variables: Solving and Applications
7.3 Solving a System of Equations Through Gaussian Elimination
7.4 Matrices, Gauss Jordan Elimination and RREF in Calculator
7.5 Day 1 Matrix Operations
7.5 Day 2 Operations with a Calculator and Applications - If you don't have a graphing calculator to do the problems, you can use Desmos as well: DESMOS MATRIX CALCULATOR (CLICK FOR LINK)
7.6 Define and Derive the Inverse Matrix
7.6/7.7 Use Inverse Matrices to Solve and Determinants for 2x2
Chapter 7 Practice Test Worked Solutions
Chapter 11
11.1 Day 1 Limit Definition and Limits that Exist
11.1 Day 2 Limits that Do Not Exist and 11.2 Techniques for Limits that D.N.E. Originally
11.2 Using Technology, One-Sided Limits
11.3 Day 1 Tangent Line at a Point
11.3 Day 2 Tangent Line in General (Derivative)
11.3 Day 3 Application of the Derivative
Chapter 11 Practice Test Worked Solutions
Semester 2 Review
Honors Precalculus Semester 2 Practice Test Answers Video (Through Problem 17 - First Half) - CLICK LINK TO OPEN
I made an error on the second graph of problem 2. I graphed it as a cosine instead of a sine function. I redid a video of me doing just this problem correctly here: https://www.loom.com/share/a0b815ad3c1d433e8628a0dda7da15cc
Honors Precalculus Semester 2 Practice Test Answers Video (Second Half of Practice Test) - CLICK LINK TO OPEN