Worksheet
Curated OER

The Energy of Empty Space

For Students 9th - 12th
In this energy in empty space worksheet, students use an equation for Cosmic Inflation to solve eight problems. They find the domain and range of the function of the equation, they determinethe axis of symmetry, they find the critical...
Worksheet
Curated OER

Relations and Functions

For Students 11th
In this Algebra II worksheet, 11th graders identify the domain and range of a relation and determine if the given relation is a function.  The three page worksheet contains explanation and eighteen practice problems.  Answers...
Worksheet
Curated OER

Composition of Functions and the Chain Rule

For Students Higher Ed
In this function instructional activity, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page...
Worksheet
Curated OER

Topic 2.1 - Relations and Functions

For Students 7th - 9th
For this function worksheet, students state the domain and range of 2 functions. They then determine whether 7 relations are functions or not. Finally, students solve 6 problems in which they find the value of a specific function.
Lesson Plan
Curated OER

Algebra 1

For Teachers 8th - 10th
Students study the functional relationships of a variety of problems. In this functional relationship lesson plan, students determine the dependent and independent quantities of a given set of data. Students record the data and...
Worksheet
Curated OER

Simplifying Functions

For Students 11th
In this simplifying functions worksheet, 11th graders solve and complete 11 different types of problems. First, they simplify each function as necessary. Then, students state the vertical asymptotes, holes, horizontal asymptotes, domain...
Lesson Plan
Alabama Learning Exchange

Building Functions: Reverse to Inverse

For Teachers 10th - 12th Standards
Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...
Lesson Plan
1
1
Channel Islands Film

Eminent Domain

For Teachers 4th - 8th Standards
After viewing the documentary The Last Roundup, a documentary about the transitioning of Santa Rosa from a privately own island to a National Park, class members debate the takings clause of the Fifth Amendment that permits the...
Lesson Plan
EngageNY

Function Composition

For Teachers 11th - 12th Standards
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
Lesson Plan
EngageNY

Interpreting Quadratic Functions from Graphs and Tables

For Students 9th - 10th Standards
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Activity
Saxon

Plotting Functions

For Teachers 8th - 9th Standards
Youngsters use a graphing calculator to assist in creating a function table. They graph the function on a coordinate plane. They explore the relationship between the domain and range in the graph. This four-page worksheet contains two...
Worksheet
Mt. San Antonio Collage

Test 1: Functions and Their Graphs

For Students 9th - 12th Standards
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
Unit Plan
Los Angeles Unified School District

Capitalism and Socialism

For Students 9th - 12th Standards
Capitalism, socialism, communism ... these may seem like a whole bunch of isms to your scholars. High schoolers won't  confuse them after completing an informative resource. Your class masters how to use primary sources to...
Worksheet
Curated OER

Relations and Functions

For Students 8th - 10th
In this relations and functions worksheet, students answer 5 multiple choice questions that involve finding domain and range and function notation.
Worksheet
Curated OER

Exponential Functions

For Students 7th - 8th
In this exponential functions worksheet, students solve and complete 20 various types of problems. First, they graph the function and state the domain and range. Then, students tell whether the graph represents exponential growth or...
Worksheet
Curated OER

Exponential Graph Functions

For Students 9th - 12th
In this exponential functions instructional activity, learners solve and complete 13 various types of problems. First, they define what is different and what is the same about exponential and linear functions. Then, students write a rule...
Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Worksheet
Curated OER

Calculus Worksheet: Limits of Functions (1)

For Students 11th - 12th
Learners sketch the graph of 4 functions and define the domain and range of each.
Worksheet
Curated OER

Discussion Sheet 6: Doman & Range

For Students Higher Ed
In this domain and range worksheet, students determine the domain, range, x and y-intercepts, vertical, horizontal and asymptotes for a function. They write a formula for a function for given properties. Students read story problems...
Lesson Plan
Curated OER

Away we Go

For Teachers 5th - 7th
Students work in groups to calculate the costs of a trip to Six Flags amusement park. In this domain and range lesson, students calculate the least and greatest amounts of money needed for tickets, food, souvenirs, and airplane tickets.
Lesson Plan
EngageNY

Restricting the Domain

For Teachers 11th - 12th Standards
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
Lesson Plan
Curated OER

Math: Real Time and Live

For Teachers 6th - 9th
Get an interdisciplinary edge. Scholars study air contamination and slope. They record the time it takes for air fresheners to reach them at variable distances. They document their times, classify them by distance, and draw a scatter...

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