Chapter 3: 2D Geometry and Trigonometry
3.3 The sine, cosine, and tangent ratios
Basic Trigonometry: SohCahToa
3.4 The Sine Rule
When to use the Sine Rule
Understanding the Sine Rule
Applications
3.4 The Law of Cosines
When to use the Cosine Rule
Finding a side: Example 1 Example 2
Finding an angle: Example 1 Example 2
Applications: Example 1 Example 2 Example 3
3.4 The Area of Triangles
The area of non-right triangles
Example 1 Example 2
Fantastic review of all trig formulas
Chapter 10: 3D Geometry and Trigonometry
10.1 Geometry of Three-Dimensional Solids
Intro to 3D Solids
10.2 Distance Between Points in a Solid
10.3 Angles Between Two Planes
10.3 Angles Between a Line and a Plane
10.4 Surface Areas of Three-Dimensional Solids
Triangular prism: Part 1 Part 2
Pyramid: Part 1 Part 2
Cylinder Half-Cylinder
Sphere 1 Sphere 2
Cone Composite Shapes
10.5 Volumes of Three-Dimensional Solids
Rectangular prism Any prism
Cylinder 1 Cylinder 2
Pyramid Cone
Sphere 1 Sphere 2
Composite Shapes 1 Composite Shapes 2
Chapter 9: Logic
Online Truth Table Constructor
Quick Review of Logic and all Connectors
9.1 Introduction to Logic
9.2 Compound Statements and Symbols
9.3 Truth Tables: Negation
9.4 Truth Tables: Conjunction (and)
9.5 Truth Tables: Disjunction / Exclusive Disjunction (or / xor)
9.6 Logical Equivalence, Tautologies, and Contradictions
9.7 Compound Statements
9.8 Arguments
Chapter 6: Introducing Differential Calculus
6.1 Introduction to Differentiation
Interpreting Slope of a Curve Exercise
Practice: Recognizing Slope of Curves
6.2 The Gradient Function
The Power Rule
Polynomial Derivatives
Practice: Power Rule
Negative Exponent Intuition
Negative and Positive Exponents
Practice: Simplifying Expressions with Exponents
Graphs of Functions and their Derivatives
Where a Function is Not Differentiable
Identifying a Function's Derivative
Which Function is the Derivative?
Practice: Graphs of functions and their derivatives
6.3 The Gradient at a Given Point
Finding a slope at a point
Example 1 Example 2
Practice: Derivatives 1
Intuitively drawing the derivative of a function
Intuitively drawing the antiderivative of a function
Visualizing derivatives exercise
Practice: Visualizing derivatives
6.4 The Tangent and the Normal to a Curve
Finding the equation of the tangent line
Example 1 Example 2
Finding the equation of the normal line
Perpendicular line slope
Perpendicular lines 2
Practice: Equations of parallel and perpendicular lines
Find the equation of the Tangent Line and Normal Line
6.5 Rates of Change
Applications of Differentiation
Calculus: Applications of Rates of Change
6.6 Local Maximum and Minimum Points
First Derivative Test - What is it?
First derivative test
6.7 Using Differentiation in Modeling: Optimization
Optimizing box volume graphically
Optimizing box volume analytically
Minimizing the cost of a storage container
3.3 The sine, cosine, and tangent ratios
Basic Trigonometry: SohCahToa
3.4 The Sine Rule
When to use the Sine Rule
Understanding the Sine Rule
Applications
3.4 The Law of Cosines
When to use the Cosine Rule
Finding a side: Example 1 Example 2
Finding an angle: Example 1 Example 2
Applications: Example 1 Example 2 Example 3
3.4 The Area of Triangles
The area of non-right triangles
Example 1 Example 2
Fantastic review of all trig formulas
Chapter 10: 3D Geometry and Trigonometry
10.1 Geometry of Three-Dimensional Solids
Intro to 3D Solids
10.2 Distance Between Points in a Solid
10.3 Angles Between Two Planes
10.3 Angles Between a Line and a Plane
10.4 Surface Areas of Three-Dimensional Solids
Triangular prism: Part 1 Part 2
Pyramid: Part 1 Part 2
Cylinder Half-Cylinder
Sphere 1 Sphere 2
Cone Composite Shapes
10.5 Volumes of Three-Dimensional Solids
Rectangular prism Any prism
Cylinder 1 Cylinder 2
Pyramid Cone
Sphere 1 Sphere 2
Composite Shapes 1 Composite Shapes 2
Chapter 9: Logic
Online Truth Table Constructor
Quick Review of Logic and all Connectors
9.1 Introduction to Logic
9.2 Compound Statements and Symbols
9.3 Truth Tables: Negation
9.4 Truth Tables: Conjunction (and)
9.5 Truth Tables: Disjunction / Exclusive Disjunction (or / xor)
9.6 Logical Equivalence, Tautologies, and Contradictions
9.7 Compound Statements
9.8 Arguments
Chapter 6: Introducing Differential Calculus
6.1 Introduction to Differentiation
Interpreting Slope of a Curve Exercise
Practice: Recognizing Slope of Curves
6.2 The Gradient Function
The Power Rule
Polynomial Derivatives
Practice: Power Rule
Negative Exponent Intuition
Negative and Positive Exponents
Practice: Simplifying Expressions with Exponents
Graphs of Functions and their Derivatives
Where a Function is Not Differentiable
Identifying a Function's Derivative
Which Function is the Derivative?
Practice: Graphs of functions and their derivatives
6.3 The Gradient at a Given Point
Finding a slope at a point
Example 1 Example 2
Practice: Derivatives 1
Intuitively drawing the derivative of a function
Intuitively drawing the antiderivative of a function
Visualizing derivatives exercise
Practice: Visualizing derivatives
6.4 The Tangent and the Normal to a Curve
Finding the equation of the tangent line
Example 1 Example 2
Finding the equation of the normal line
Perpendicular line slope
Perpendicular lines 2
Practice: Equations of parallel and perpendicular lines
Find the equation of the Tangent Line and Normal Line
6.5 Rates of Change
Applications of Differentiation
Calculus: Applications of Rates of Change
6.6 Local Maximum and Minimum Points
First Derivative Test - What is it?
First derivative test
6.7 Using Differentiation in Modeling: Optimization
Optimizing box volume graphically
Optimizing box volume analytically
Minimizing the cost of a storage container