SLOPES AND CONSTANT RATES

This unit is about slope and the meaning of slope. Slope can be calculated by counting the rise and run between two points on a line, and then writing the ratio “rise / run”.  Slope can also be calculated by using the coordinates of two points on the line and the slope formula.  Equations can be expressed in slope-intercept form (y = mx + b) where m represents the slope and b represents the y-intercept.  Equations can be graphed by finding the x-intercept and the y-intercept or by using the slope and y-intercept method.

 

Linear equations demonstrate constant rates of change and may be used to make predictions.  This combination of ideas will make the analysis of the information easier to interpret.  When working with data, (1) examine it closely, (2) imagine or chart the data as a graph, and then (3) make predictions about future values. Analyzing data with charts and graphs has real life applications.  This is how investors predict financial plans or how stock traders decide when to sell for profit. 

 

 Slope (03:28)
 
Practice Worksheet: Counting Slope
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Practice Worksheet: Finding Slope
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 Using Intercepts to Graph Equations (1:36)
Practice Worksheet: Finding Intercepts
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 A Function Expressed in a Table -- Gold (01:55)
 
Content Explanations for Review Problems
Add and Subtract Fractions
Volume
Surface Area and Volume
Derive Formulas
Transformations
Relations and Functions
Direct and Inverse Variation