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Construct Functions




 

Videos and lessons to help Grade 8 students learn how to construct a function to model a linear relationship between two quantities. Determine the rate of change  and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Common Core: 8.F.4

Suggested Learning Targets


  • I can recognize that slope is determined by the constant rate of change
  • I can recognize that the y-intercept is the initial value where x=0
  • I can determine the rate of change (slope) from two (x,y) values, a verbal description, values in a table, or graph.
  • I can determine the initial value (y-intercept) from two (x,y) values, a verbal description, values in a table, or graph.
  • I can construct a function to model a linear relationship between two quantities.
  • I can relate the rate of change and initial value to real world quantities in a linear function in terms of the situation modeled and in terms of its graph or a table of values.

Related Topics:
Common Core for Grade 8

Common Core for Mathematics

More Math Lessons for Grade 8

Construct linear functions from tables - 8.F.4
In this lesson, we will learn how to construct linear functions from tables.





Construct linear functions from a graph - 8.F.4
In this lesson, we will learn how to construct linear functions from graphs.


Construct linear functions from a situation - 8.F.4
In this lesson, we will learn how to construct linear functions from a situation.



 

Use Graphs and Tables to Represent Real World Situations and Solve Problems
CC.8.F.4 -- Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.



Conjecturing About Functions
Grades 6-8 / Math / Reasoning
CCSS: Math.8.F.B.4 Math.Practice.MP2 Math.Practice.MP3
Lesson Objective
Analyze patterns and represent functions.



Finding Slope of a Line.


Finding Slope using the slope formula.



 

Interpret The Rate of Change/Slope in The Context of Everyday Life.


Interpret The Rate of Change (Slope) Within The Context of Everyday Life.




Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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