Nonlinear Functions Teacher Resources

Find Nonlinear Functions lesson plans and worksheets
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Graphs of Simple Nonlinear Functions

For Teachers 8th Standards
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
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Plotting Nonlinear Functions - Drawing the Parabola

For Students 9th - 10th
In this graphing worksheet, students receive two nonlinear functions. The plot five coordinate points on a graph for each function, and draw the parabola based on the points.
5:38
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How Can You Tell if a Function is Linear or Nonlinear From a Table?

For Teachers 6th - 9th
Is it possible to tell if a table of values represents a linear function or a nonlinear function? One way is to graph the ordered pairs to see if it makes a straight line. But, take a look at the rate of change in the table. If the rate...
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EngageNY

Increasing and Decreasing Functions 2

For Teachers 8th Standards
Explore linear and nonlinear models to help your class build their function skills. In a continuation of the previous lesson, learners continue to analyze and sketch functions that model real-world situations. They progress from linear...
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Functions

For Students 7th - 10th Standards
Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then work...
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EngageNY

Nonlinear Models in a Data Context

For Teachers 8th Standards
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
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Sketching a Piecewise Function

For Students 8th - 9th Standards
How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...
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Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
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Graphing Functions

For Students 8th Standards
How do letters and numbers create a picture? Scholars learn to create input/output tables to graph functions. They graph both linear and nonlinear functions by creating tables and plotting points. 
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Linear and Nonlinear Functions

For Teachers 8th - 10th
Students identify properties of a line. In this algebra lesson, students differentiate between functions and nonfunctions. They use the slope and y intercept to graph their lines.
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Function Projects

For Teachers 8th - 12th Standards
This project focuses on nonlinear functions (exponential and quadratic) are found in real world situations.  Learners pick an experiment to conduct and then graph their functions and data of the results of their projects. Growth patterns...
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Graphing Linear and Non-Linear Functions Review

For Students 8th - 10th
Middle schoolers work through this three page packet to practice solving and graphing both linear and non-linear functions. They use of functional notation and determine the slop intercept of given lines. There are 10 problems to solve.
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Linear and Exponential Change: Comparing Growth Rates

For Teachers 8th - 10th Standards
This thirteen-page PowerPoint presentation guides geometry learners in interpreting linear functions, linear data and their trend lines, the consequences of their constant rate of change, and growth rate. Real-life models including...
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Taylor's Theorem

For Students Higher Ed
In this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...
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Linear vs. Non-linear

For Students 7th - 8th
In this linear and non-linear functions worksheet, learners solve and complete 8 different multiple choice problems. First, they determine the type of function represented in the graph. Then, students determine which statement is an...
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Very Varied - Inverse variation

For Teachers 8th - 11th
Students identify inverse variations. In this inverse variation lesson, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse variation...
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Using First Differences

For Students 9th
For this Algebra I worksheet, 9th graders use first differences to create scatterplots in order to determine if  the relationships observed in the data are linear or non-linear.  The seven page worksheet contains nineteen questions. ...
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Linear Equations

For Students 7th - 8th
For this linear equations worksheet, students solve and complete 8 different multiple choice problems. First, they determine the type of function represented in the graph. Then, students determine the statement that is an example of...
6:06
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What's an Exponential Function?

For Teachers 10th - 12th
The instructor defines an exponential function as any expression or equation in which an exponent is a variable. She then gives several examples.
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The Fractal Coast

For Teachers 9th - 11th
Students investigate measuring as it relates to the real world. In this geometry lesson, students measure distances as they discuss fractals and how it relates to measuring. They measure both linear and non-linear distances.
6:55
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What is a Quadratic Function?

For Teachers 6th - 12th
This is an introductory video on how to identify a quadratic function. This video explains what a quadratic function is and what the graph of a quadratic function looks like. The instructor goes through 4 examples of quadratic functions...
2:27
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What's the Formula for the Square of a Difference?

For Teachers 6th - 12th
The Difference Between Two Squares is an algebraic expression where two terms are perfect squares and one is negative. In this clip the Algebra teacher uses the FOIL method to factor a difference between two squares and prove the equation.
1 In 1 Collection 2:46
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How Do You Multiply Binomials Using FOIL?

For Teachers 6th - 12th
FOIL it! What? You want to multiply two binomials then use the FOIL method: First, Outside, Inside, Last. When you have done that, your final steps is to combine the like terms.
4:18
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How Do You Find the Additive Inverse of a Polynomial?

For Teachers 6th - 12th
Finding the additive inverse is not as complicated as you might think. The instructor demonstrates how to multiply each of the terms in the polynomial by -1 and explains how this works. But wait, there's a quicker way. What's that you...

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Nonlinear Functions