Lines

A.Richter, Jun 14, 2016

Students will learn about lines and their characteristics for exploring the worksheets in this book.

Table of Contents

  1. Slope of a Line
    1. Distance between Two Points - Basic
    2. Exploring the Slope of a Line
    3. The Slope of a Line and the y-Intercept Equation
  2. Types of Linear Equations
    1. The Slope-Intercept Form of a Linear Equation
    2. The Point-Slope Form of a Linear Equation
    3. Graph the Line - Level 1
    4. Graph the Line - Level 2
    5. Graph the Line - Level 3
  3. Parallel and Perpendicular Lines
    1. Equations for Two Parallel Lines
    2. Equations for Two Perpendicular Lines

1.

Slope of a Line

Students will learn about the slope of line by exploring the graph of the line.

  • 1. Distance between Two Points - Basic
  • 2. Exploring the Slope of a Line
  • 3. The Slope of a Line and the y-Intercept Equation

1.1.

Distance between Two Points - Basic

Move each point. Note how the vertical and horizontal distances change as each point is dragged.
– A.Richter

1.2.

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1.3.

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2.

Types of Linear Equations

Students explore some of the types of linear equations.

  • 1. The Slope-Intercept Form of a Linear Equation
  • 2. The Point-Slope Form of a Linear Equation
  • 3. Graph the Line - Level 1
  • 4. Graph the Line - Level 2
  • 5. Graph the Line - Level 3

2.1.

The Slope-Intercept Form of a Linear Equation

Move each point on each slider. Notice how each move changes the line.
– A.Richter

2.2.

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2.3.

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2.4.

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2.5.

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3.

Parallel and Perpendicular Lines

Students will explore how the equations of parallel and perpendicular lines agree and differ.

  • 1. Equations for Two Parallel Lines
  • 2. Equations for Two Perpendicular Lines

3.1.

Equations for Two Parallel Lines

Move each slider. Notice what changes and what stays the same for each linear equation.
– A.Richter

3.2.

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