Key Concepts Worked Examples
Key Concepts Worked Examples
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 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 Sense1.1 Connecting Perimeter With Whole Numbers and DecimalsPerimeter of a Figure Worked Example (28.0K) Perimeter of a Rectangle Worked Example (26.0K) Circumference of a Circle Worked Example (24.0K) 1.3 Exponents and the Order of OperationsPowers 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 TheoremRight 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 FiguresComposite 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 3.3 Surface Area: Rectangular PrismsNets Worked Example (18.0K) Surface Area of a Rectangular Prism Worked Example (22.0K) Chapter 4: Analysing Relationships With Data 4.2 Surveys and Sampling PrinciplesRandom 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) 4.5 Data Analysis: Trends and RelationshipsScatter 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) Chapter 6: Linear and Non-Linear Relations 6.4 Graphing Non-Linear RelationsNon-Linear Relations Worked Example (24.0K) Graphing Non-linear Relations Worked Example (25.0K) 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 7.5 The Equation of a Line: y = mx + bEquation 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) 8.3 Zero and Negative Exponents Zero Exponents Worked Example (19.0K) Negative Exponents Worked Example (21.0K) Chapter 9: Exploring Polynomials 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 10.3 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 11.3 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)