Key Concepts Worked Examples

Key Concepts Worked Examples

Key Concepts Worked Examples
(See related pages)

Click on the links below to view a worked example. Follow the links on our menu to take the Key Concept quizzes for each chapter.

Chapter 1: Applying Number Sense

1.1 Connecting Perimeter With Whole Numbers and Decimals

Perimeter of a Figure Worked Example (28.0K)

Perimeter of a Rectangle Worked Example (26.0K)

Circumference of a Circle Worked Example (24.0K)

1.2 Estimation

Estimation Worked Example (23.0K)

Calculation and Rounding Worked Example (20.0K)

Reasonableness of Answers Worked Example (22.0K)

1.3 Exponents and the Order of Operations

Powers Worked Example (19.0K)

Exponents and Bases Worked Example (12.0K)

Order of Operations Worked Example (19.0K)

Working With Area and Other Formulas

Evaluating Formulas Worked Example (22.0K)

Chapter 2: Perimeter and Area Relationships

2.1 The Pythagorean Theorem

Right Triangles Worked Example (27.0K)

Pythagorean Theorem Worked Example (29.0K)

2.2 Perimeter and Area of Right Triangles

Perimeter of a Right Triangle Worked Example (27.0K)

Area of a Right Triangle Worked Example (29.0K)

2.4 Perimeter and Area of Composite Figures

Composite Figures Worked Example (17.0K)

Areas of Composite Figures Worked Example (28.0K)

Perimeters of Composite Figures Worked Example (29.0K)

2.5 Maximizing the Area of a Rectangle

Maximizing the Area of a Rectangle Worked Example (22.0K)

Maximizing the Area of a Rectangle Three Sides Worked Example (26.0K)

Chapter 3: Surface Area and Volume Relationships

3.1 Volume: Prisms and Cylinders

Units for Volume Worked Example (11.0K)

Litre Conversions Worked Example (22.0K)

Volume of a Prism Worked Example (28.0K)

Volume of Rectangular Prisms and Cylinders Worked Example (24.0K)

3.2 Volume: Cones and Spheres

Volume of a Cone Worked Example (22.0K)

Volume of a Sphere Worked Example (22.0K)

Converting Cubic Metres to Litres Worked Example (21.0K)

3.3 Surface Area: Rectangular Prisms

Nets Worked Example (18.0K)

Surface Area of a Rectangular Prism Worked Example (22.0K)

3.4 Surface Area: Cylinders and Prisms

Net for a Cylinder Worked Example (25.0K)

Surface Area of a Cylinder Worked Example (22.0K)

Surface Area of a Prism Worked Example (29.0K)

Nets for Solid Shapes Worked Example (20.0K)

3.5 Minimizing Surface Area

Minimizing the Surface Area of a Cylinder Worked Example (10.0K)

Minimizing the Surface Area of a Square-Based Prism Worked Example (10.0K)

Chapter 4: Analysing Relationships With Data

4.2 Surveys and Sampling Principles

Random Sampling Worked Example (10.0K)

Random Sampling Techniques Worked Example (11.0K)

4.3 Organizing Data Using the TI-83 Graphing Calculator

Single Variable Bar Graph Worked Example (23.0K)

Two-Variable Broken-Line Graph Worked Example (24.0K)

4.4 Measures of Central Tendency

Mean of a Data Set Worked Example (28.0K)

Median of a Data Set Worked Example (29.0K)

Mode of a Data Set Worked Example (19.0K)

Outliers of a Data Set Worked Example (19.0K)

Effect of an Outlier Worked Example (20.0K)

4.5 Data Analysis: Trends and Relationships

Scatter Plots and Trends Worked Example (23.0K)

Chapter 5: Exploring Integers and Rational Numbers

5.1 Adding and Subtracting Integers

Adding Integers Using a Number Line Worked Example (25.0K)

Subtracting Integers Worked Example (19.0K)

5.2 Multiplying and Dividing Integers

Multiplication as Repeated Addition Worked Example (21.0K)

Multiplication and Division of Integers Worked Example (25.0K)

5.3 Plotting Points on the Cartesian Plane

Plotting Points in the Cartesian Plane Worked Example (29.0K)

Characteristics of Points in Each Quadrant Worked Example (15.0K)

5.4 Exploring Rational Numbers

Rational Numbers Worked Example (14.0K)

Converting Rational Numbers Worked Example (19.0K)

5.5 Operations With Rational Numbers

Multiplying Rational Numbers Worked Example (21.0K)

Dividing Rational Numbers Worked Example (22.0K)

Adding or Subtracting Rational Numbers Worked Example (21.0K)

Using a Graphing Calculator to Perform Operations With Rational Numbers Worked Example (23.0K)

5.6 Ratio and Rate

Ratios Worked Example (20.0K)

Ratios in Simplest Form Worked Example (21.0K)

Unit Rate Worked Example (19.0K)

Equivalent Rates Worked Example (10.0K)

Chapter 6: Linear and Non-Linear Relations

6.1 Direct Variation

Direct Variation Worked Example (16.0K)

Constant of Variation Worked Example (20.0K)

Graphs of Direct Variation Worked Example (18.0K)

Graphs of Direct Variation Worked Example (26.0K)

6.2 Partial Variation

Partial Variation Worked Example (9.0K)

Equation of a Partial Variation Worked Example (22.0K)

Graph of a Partial Variation Worked Example (19.0K)

6.3 Graphing Linear Relations

Graphing Using a Table of Values Worked Example (30.0K)

Table of Values Involving Fractions Worked Example (26.0K)

Points on Lines Worked Example (22.0K)

6.4 Graphing Non-Linear Relations

Non-Linear Relations Worked Example (24.0K)

Graphing Non-linear Relations Worked Example (25.0K)

6.5 First Differences

First Differences Worked Example (15.0K)

First Differences for Linear Relations Worked Example (15.0K)

First Differences for Non-Linear Relations Worked Example (17.0K)

6.6 Characteristics of Linear and Non-Linear Relations

Characteristics of Linear and Non-linear Relations Worked Example (28.0K)

Chapter 7: Analysing Linear Relations

7.1 Motion Sensors and Distance-Time Graphs

Linear Distance versus Time Graphs Worked Example (65.0K)

Speed on Distance versus Time Graphs Worked Example (20.0K)

Speed on Distance versus Time Graphs Worked Example (20.0K)

Changing Speed on Distance versus Time Graphs Worked Example (22.0K)

7.2 Slope

The Meaning of Slope Worked Example (29.0K)

Calculating Slope Worked Example (35.0K)

Meaning of Slope Worked Example (23.0K)

Positive Slope Worked Example (24.0K)

Negative Slope Worked Example (23.0K)

Slope of a Distance Versus Time Graph Worked Example (27.0K)

7.3 Applying the Slope Formula

Slope of Line Segment Given Two Points Worked Example (24.0K)

Slope of a Distance Versus Time Problem Worked Example (23.0K)

7.4 Graphing Lines Using Intercepts

x-Intercept of a Line Worked Example (23.0K)

y-Intercept of a Line Worked Example (23.0K)

Graphing a Line Using Intercepts Worked Example (31.0K)

7.5 The Equation of a Line: y = mx + b

Equation of a Line Worked Example (40.0K)

Equation of a Horizontal Line Worked Example (23.0K)

Equation of a Vertical Line Worked Example (22.0K)

7.6 Constructing Linear Models: The Line of Best Fit

Equation of a Line of Best Fit Worked Example (34.0K)

Chapter 8: Applying Exponents

8.1 Powers with Rational Bases

Exponents Worked Example 1 (20.0K)

Exponents Worked Example 2 (22.0K)

8.2 Exponent Rules

Exponent Rule When Multiplying Worked Example (22.0K)

Exponent Rule When Dividing Worked Example (22.0K)

Exponent Rule When a Power is Raised to Another Exponent Worked Example (23.0K)

8.3 Zero and Negative Exponents

Zero Exponents Worked Example (19.0K)

Negative Exponents Worked Example (21.0K)

8.4 Scientific Notation

Scientific Notation Worked Example 1 (25.0K)

Scientific Notation Worked Example 2 (23.0K)

Chapter 9: Exploring Polynomials

9.1 Introducing Polynomials

Kinds of Polynomials Worked Example (12.0K)

Coefficient of a Term Worked Example (11.0K)

Adding or Subtracting Like Terms Worked Example (15.0K)

9.2 Adding and Subtracting Polynomials

Adding Polynomials Worked Example (22.0K)

Subtracting Polynomials Worked Example (22.0K)

9.3 Multiplying a Monomial and a Polynomial

Multiplying a Polynomial by a Monomial Worked Example (23.0K)

Multiplying a Polynomial by a Negative Monomial Worked Example (22.0K)

9.4 Expanding and Simplifying Polynomial Expressions

Simplifying Polynomial Expressions Worked Example (27.0K)

Chapter 10: Modelling With Equations

10.1 Solving One- and Two-Step Equations

Solving One-Step Equations Worked Example (22.0K)

Solving Two-Step Equations Worked Example (22.0K)

Checking Solutions to Equations Worked Example (23.0K)

10.2 Solving Multi-Step Equations

Solving Equations With Multiple Terms Worked Example (22.0K)

Solving Equations Involving Brackets Worked Example (23.0K)

Checking Solutions to Equations Worked Example (23.0K)

10.3 Modelling With Formulas

Isolating Variables in a Formula Worked Example (23.0K)

10.4 Modelling With Algebra

Algebraic Modelling Worked Example (22.0K)

10.5 Equation of a Line, Given the Slope and a Point

Equation of a Line Given the Slope and a Point Worked Example (23.0K)

10.6 Equation of a Line, Given Two Points

Equation of a Line Given Two Points Worked Example (24.0K)

Chapter 11: Exploring Geometric Relationships

11.1 Investigating Angles of Triangles and Quadrilaterals

Interior Angles of a Triangle Worked Example (25.0K)

Exterior and Interior Angles of a Triangle Worked Example (24.0K)

Exterior Angles of a Triangle Worked Example (25.0K)

Interior Angles of a Quadrilateral Worked Example (25.0K)

Exterior Angles of a Quadrilateral Worked Example (25.0K)

11.2 Investigating Angles and Parallel Lines

Parallel Lines Alternate Angles (Z-Pattern) Worked Example (24.0K)

Parallel Lines Corresponding Angles (F-Pattern) Worked Example (24.0K)

Parallel Lines Co-Interior Angles (C-Pattern) Worked Example (26.0K)

11.3 Investigating Angle Bisectors, Medians, and Altitudes of Triangles

Medians, Altitudes, and Angle Bisectors of a Triangle Worked Example (16.0K)

Properties of Medians, Altitudes, and Angle Bisectors Worked Example (26.0K)

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Home > Key Concepts Worked Examples

	Course-wide Content
		Get Ready for Grade 9 Key Concepts Worked... E-STAT Practice Exam 1 Practice Exam 2

	Course-wide Content
		Get Ready for Grade 9 Key Concepts Worked... E-STAT Practice Exam 1 Practice Exam 2