# 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 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.

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.

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