Nonlinear Functions Teacher Resources

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.

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...

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.

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...

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...

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...

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...

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...

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. 

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...

For 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...

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.

The instructor defines an exponential function as any expression or equation in which an exponent is a variable. She then gives several examples.

High schoolers recognize relationships between mathematics and music by identifying the frequency and volume of a pure tone. Students discover that sound can be represented as a function and collect pure tones to generate smooth curves.

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...

A polynomial is the sum of one or more monomials. They are identified by the number of terms they have. Monomials, binomials, trinomials, find out what these terms identify.

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.

2, 4, 6, 8, who do we appreciate? Do the numbers in this sequence make it an arithmetic sequence? Watch this video and find out.

So you want to learn how to add polynomials? Here are the steps: Rewrite by removing the parentheses, identify the like terms, group like terms together, combine the like terms, and finally rewrite the simplified expression.

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.

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...

It's not a complicated word problem, but the picture frame just gives the problem a little context. So you are trying to find the difference, which means subtraction. The instructor reviews how to distribute the negative sign to the...

How do you determine the degree of a term? How do you determine the degree of a polynomial? Oh my! Observe the teacher as she shows you just how to figure out the degrees, first of terms, then of polynomials.

The instructor demonstrates how to line up two polynomials vertically to add them together. She emphasizes lining up the terms with the same powers. She also identifies some places where there is no term and shows how to write a...