Worksheet
Curated OER

Graphing Rational Functions

For Students 11th
In this Algebra II worksheet, 11th graders graph rational functions and use the graph to solve real-life problems. The four page worksheet contains forty-one problems. Answers are not provided.
Worksheet
Curated OER

Inverse Functions

For Students 12th - Higher Ed
In this inverse functions worksheet, students solve and complete 3 sets of different problems. First, they find the expression and simplify. Then, students find the value of a given variable when it is the inverse in the function. They...
Assessment
Concord Consortium

Sum and Product

For Students 8th - 11th Standards
From linear to quadratic with a simple operation. An exploratory lesson challenges learners to find two linear functions that, when multiplied, produce a given parabola. The task includes the graph of the sum of the functions as well as...
Worksheet
Curated OER

Quadratic Function Word Problems

For Students 6th
For this problem solving worksheet, 6th graders use the Vertical Motion Model to work out and solve 8 quadratic functional word problems.
Worksheet
Curated OER

The M & M Function

For Students 8th - 11th Standards
In this M & M worksheet, students perform probability experiments.  They collect and interpret data, identify the exponential function describing the data and create graphs from the collected information.  This one-page...
Worksheet
Curated OER

Exponential Functions

For Students 9th - 11th
In this algebra activity, students calculate the solution using properties of exponential functions. There is an answer key.
Worksheet
Curated OER

Lesson 25 - Applications of Logarithmic Functions

For Students 9th - 12th
in this applications of logarithmic functions worksheet, students solve 11 short answer problems. Students use logarithms to find half lives, compound interest, and population growth given a word problem.
Worksheet
Curated OER

Finding the Inverse from a List or Function

For Students 8th - 12th
In this algebra worksheet, students reverse the numbers of a list to determine the inverse or start with a function to find the inverse. There are 4 questions.
Lesson Plan
Perkins School for the Blind

Object Functions

For Teachers K - 6th
What does that thing do? For learners with low or no vision, understanding an object's function is a necessary skill. Here learners handle a number of objects and are asked to determine which object is for a specific task. They can feel...
Lesson Plan
EngageNY

Graphs of Exponential Functions

For Students 9th - 10th Standards
What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of...
Interactive
CK-12 Foundation

Parametric-Inverses: Graph Matching

For Students 11th - Higher Ed
Perform a switch to find the inverse of a parametric equation. Pupils match four parametric functions with the graph of the their inverses. Using the graphs, learners determine whether particular points are on the original parametric...
Worksheet
Shmoop

Functions Worksheet 5

For Students 9th - 12th Standards
To the point and deeper thinking are both types of questions included in the worksheet. Begin the practice of solving quadratics and then finish with five questions asking quadratic and exponential application problems. 
Lesson Plan
1
1
Teach Engineering

Can You Resist This?

For Teachers 7th - 9th Standards
Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear...
Lesson Plan
Curated OER

Exploring Exponential Growth and Decay Functions

For Teachers 9th - 11th
Pupils differentiate between exponential growth and decay. In this algebra lesson, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.
Lesson Plan
Illustrative Mathematics

Riding by the Library

For Teachers 7th - 9th Standards
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
Handout
1
1
Shoreline Community College

Properties of Logarithmic Functions

For Students 9th - 12th Standards
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its...
Lesson Plan
Illustrative Mathematics

Tides

For Teachers 7th - 9th Standards
A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...
Worksheet
Curated OER

Plotting the Investment Function

For Students 11th - Higher Ed
In this Plotting the Investment Function worksheet, learners plot various functions on several graphs, answer questions about them, and make predictions about scenarios with variables.
Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...
AP Test Prep9:15
1
1
Flipped Math

Calculus AB/BC - Estimating Derivatives of a Function at a Point

For Students 10th - 12th
It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...
Handout
2
2
Coastal Carolina University

Graphs of the Six Trigonometric Functions

For Teachers 10th - 12th
Your learners will appreciate having this color-coded set of the six trigonometric functions all on one page. Included are the graphs for sine, cosine, tangent, cosecant, secant, and cotangent. Notice that part of each graph is...
AP Test Prep18:18
1
1
Flipped Math

Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation

For Students 10th - 12th
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
Lesson Plan
Curated OER

Exponential Reflections

For Teachers 9th - 12th Standards
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
Lesson Plan
Curated OER

Your Father

For Teachers 9th - 12th Standards
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...

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