Lesson Plan
EngageNY

#### 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.
Instructional Video5:38
Curated OER

#### 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...
Lesson Plan
Curated OER

#### 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.
Lesson Plan
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...
Lesson Plan
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...
Workbook
1
1
University of Utah

#### Functions

For Students 8th 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...
Handout
Charleston School District

#### 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...
Activity
Education Development Center

#### 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...
Handout
Charleston School District

#### 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.
Lesson Plan
Curated OER

#### Very Varied - Inverse variation

For Teachers 8th - 11th
Students identify inverse variations. For 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...
Worksheet
Curated OER

#### 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...
Instructional Video4:01

#### Recognizing Linear Relationships

For Students 6th - 8th
Starting with a set of values for the x and y variables, this video shows how to tell whether these points determine a linear or non-linear function. Sal first defines linear functions in terms of the change in y over the change in x,...
Lesson Plan
Curated OER

#### The Fractal Coast

For Teachers 9th - 11th
Young scholars 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.
Instructional Video6:06
Curated OER

#### 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.
Lesson Plan
Curated OER

#### Composing Music Mathematically

For Teachers 9th - 12th
Students 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.
Instructional Video6:55
Curated OER

#### 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...
Instructional Video2:51
Curated OER

#### What's a Polynomial?

For Teachers 6th - 12th
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.
Instructional Video2:27
Curated OER

#### 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.
Instructional Video2:09
Curated OER

#### What's an Arithmetic Sequence?

For Teachers 6th - 12th
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.
Instructional Video5:41
Curated OER

#### How Do You Add Polynomials?

For Teachers 6th - 12th
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.
Instructional Video2:46
2
2
Curated OER

#### 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.
Instructional Video4:18
Curated OER

#### 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...
Instructional Video2:33
Curated OER

#### How Do You Solve a Word Problem by Subtracting Polynomials?

For Teachers 6th - 12th
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...
Instructional Video3:51
Curated OER

#### How Do You Find the Degree of a Polynomial?

For Teachers 6th - 12th
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.