Unit 3 Lesson 12

Embed

Social
Select the file type you wish to download
Slide Content

Slide 1  Unit 3 Lesson 12: Linear Equations and Slope
 Springboard lesson 11.1

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 yintercept (0,0) of the graph

Slide 3  High Ratio Mountain Ski Resort

Slide 4  High Ratio Mountain
 C = 30d

Slide 5  Model with mathematics

Slide 6  Model with mathematics

Slide 8  Linear Equations

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.

Slide 10  Describe movement

Slide 11  Slope
 = =

Slide 13  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

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 yintercept of a line is the point at which the line crosses the yaxis.
 Yintercept