UNIT 9: OPTIMIZATION

9.2 - Perimeter and Area Relationships of a Rectangle

• Optimal Area & Perimeter

9.3 - Minimize the Surface Area of a Square-Based Prism

• The minimum surface area of a square-based prism occurs when the prism is a CUBE.
• Volume of a Cube 

9.4 - Maximize the Volume of a Square-Based Prism

• The maximum volume of a square-based prism occurs when the prism is a CUBE.
• Surface Area of a Cube

9.5 - Maximize the Volume of a Cylinder

• Maximum vlume of a cylinder occurs when the cylinder has dimensions close to a cube, meaning the height equals the diameter.
• Surface Area of a Cylinder

9.6 - Minimize the Surface Area of a Cylinder

• Minimum surface area of a cylinder occurs when the cylinder has dimensions close to a cube, meaning the height equals the diameter.
• Volume of a Cylinder

UNIT 7: GEOMETRIC RELATIONSHIPS

This unit is about the properties of angles in 2-dimensional shapes (polygons).

7.1 Angle Relationships in Triangles
Video - Exterior Angles of Triangles
Video - Interior and Exterior Angles of Triangles

7.2 Angle Relationships in Quadrilaterals
Video - Angles in a Quadrilateral

7.3 Angle Relationships in Polygons
Video - Exterior Angles of Polygons
Video - Sum of Interior Angles of Polygons

7.4 Midpoints and Medians in Triangles
Video - Median of a Triangle

7.5 Midpoints and Diagonals in Quadrilaterals

UNIT 6: ANALYSE LINEAR RELATIONS

This unit is about the interpreting and determining the equations of lines (linear relations).

Videos are listed below by topic.
Click on "comments" to post or respond to a question.
Happy studying!

6.1 Equation of a Line in Slope y-intercept Form (y=mx+b)
Video - Slope Recap
Video - Graphing using slope y-intercept form

6.2 Equation of a Line in Standard Form (Ax + By + C = 0)
Video - Converting Forms
Video - Converting Forms (2)

6.3 Graphing Lines Using x and y Intercepts
Video - Graphing using intercepts

6.4 Parallel and Perpendicular Lines
Video - Slopes of parallel and perpendicular lines

        

6.5 Find the Equation of a Line Given Slope and a Point
Video - Finding Equations
Video - Equations using parallel and perpendicular lines

6.6 Find the Equation of a Line Given Two Points
Video - Equations using two points

6.7 Linear Systems
Video - Solve linear systems by graphing
Video 1- Solve linear systems by substitution (AP)
Video 2- Solve linear systems by substitution (AP)

UNIT 5: MODELLING WITH GRAPHS

This unit is about the properties (graphs, equations, etc.) of lines and the slope of a line.

Videos are listed below by topic.
Click on "comments" to post or respond to a question.
Happy studying!

5.1 Direct Variation
Video - Direct Variation
Video - Constant of Variation
Video - Word Problem

5.2 Partial Variation
Video - Partial Variation
Video - Word Problem

5.3 Slope
Video - Slope of a Line Segment 1
Video - Slope of a Line Segment 2

5.4 Slope as a Rate of Change
Video - Rates of Change
Video - Slope and Rate of Change

5.5 First Differences
Video - First Differences

5.6 Connecting Variation, Slope and First Differences
Video - All Together

ISU: UNIT 8 - MEASUREMENT RELATIONSHIPS

This unit is about the relationships in measurement of 2-dimensional and 3-dimensional shapes.

8.1 The Pythagorean Theorem
Video - Theorem Demonstration
Video - Application

8.2 Perimeter and Area of Composite Figures
Video - Perimeter and Area of Composite Figures
Video - Area of Composite Shapes (1)
Video - Area of Composite Shapes (2)

8.3 Surface Area & Volume of Prisms and Pyramids
Video - S.A. of Triangular Prism (Part 1)
Video - S.A. of Triangular Prism (Part 2)
Video - Volume of a Pyramid

Recall: Surface Area & Volume of a Cylinder
Video - S.A. of a Cylinder
Video - Volume of a Cylinder

8.4/8.5 Surface Area & Volume of a Cone
Video - S.A. of a Cone
Video - Volume of a Cone

8.6/8.7 Surface Area & Volume of a Sphere
Video - S.A. of a Sphere
Video - Volume of a Sphere

UNIT 4: RELATIONS (CH. 2)

This unit introduces methods for analysing relationships between variables.
Videos are listed below by topic.
Click on "comments" to post or respond to a question.
Happy studying!

2.1 Hypotheses and Sources of Data
Video 1: Constructing a Hypothesis
Video 2: Primary and Secondary Sources of Data

2.2 Sampling Principles
Video 1: Simple Random Sampling
Video 2: Systematic Sampling
Video 3: Stratified Random Sampling

2.3 Use Scatter Plots to Analyse Data
Video: Scatter Plots

2.4 Trends, Interpolation and Extrapolation
Video: Interpolation/Extrapolation

2.5 Linear and Non-Linear Relations
Video: Linear & Non-Linear Relations

2.6 Distance-Time Graphs
Video: Distance-Time Graph

UNIT 3: EQUATIONS (CH. 4)

This unit is all about solving equations.  To solve an equation means to determine the value of the variable that "satisfies" the equation. It is the value that makes the equation true (i.e. the left side of the equation equals the right side of the equation).

Videos are listed below by topic.
Click on "comments" to post or respond to a question.
Happy studying!

4.1 Solving Simple Equations
Video 1: Simple Equations
Video 2: One-Step Equations 1
Video 3: One-Step Equations 2
Video 4: Solving Equations

4.2 Solving Multi-Step Equations
Video 1: Two-Step Equations (Ax + B = C)
Video 2: Two-Step Equations
Video 3: Equations Involving Distribution

4.3 Solving Equations Invovling Fractions
Video 1: Two-Step Equations Invovling Fractions
Video 2: Solve Fractional Equations

4.4 Modelling with Formulas
Video 1: Isolating for Varibales from Formulas
Video 2: Changing the Subject of the Formula

4.5 Modelling with Algebra
Video 1: Word Problems