Unit 3 Lesson 12

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Unit 3 Lesson 12

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  1. Unit 3 Lesson 12: Linear Equations and Slope

    Slide 1 - Unit 3 Lesson 12: Linear Equations and Slope

    • Springboard lesson 11.1
  2. Learning Outcomes

    Slide 2 - Learning Outcomes

    • Understand the concept of slope as a ratio between any two points on a line
    • Graph proportional relationships; interpret the slope and the y-intercept (0,0) of the graph
  3. High Ratio Mountain Ski Resort

    Slide 3 - High Ratio Mountain Ski Resort

  4. High Ratio Mountain

    Slide 4 - High Ratio Mountain

    • C = 30d
  5. Model with mathematics

    Slide 5 - Model with mathematics

  6. Model with mathematics

    Slide 6 - Model with mathematics

  7. Linear Equations

    Slide 8 - Linear Equations

  8. Definitions

    Slide 9 - Definitions

    • Vertical change: the number of spaces moved up or down on a graph. “up” movement is represented by a positive number, “down” is represented by a negative number.
    • Horizontal Change: the number of spaces moved right or left on a graph. Movement to the right is indicated by a positive number. Movement to the left is indicated by a negative number.
  9. Describe movement

    Slide 10 - Describe movement

  10. Slope

    Slide 11 - Slope

    • = =
  11. Slope

    Slide 13 - Slope

  12. Slope

    Slide 15 - Slope

    • Look back at the equation we wrote at the very beginning of the lesson for the High Ratio Mountain, can you find this ratio of in that equation?
    • C = 30d
  13. Slope

    Slide 16 - Slope

    • This idea of a common ratio on a line is called the slope of a line
    • vertical change to horizontal change
    • can also be written as
    • also known as the constant rate of change
    • All linear relationships have a constant rate of change, or slope
    • the y-intercept of a line is the point at which the line crosses the y-axis.
    • Y-intercept