Virginia Department of Education
The Submarine
Submerge yourself in the study of slope. Scholars investigate a situation involving slope and the rate of change of a submarine. An additional example further explores the concept of slope by changing one of the conditions of the submarine.
Virginia Department of Education
Transformation Investigation
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
Balanced Assessment
Alcohol Level
How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.
Curated OER
Domain and Range
In this domain and range instructional activity, students write the definitions for relation, function, domain and range. They then find the domain and range of 7 sets of ordered pairs. Finally, students answer 4 questions regarding...
Curated OER
Tables and xy-Coordinates
Use this graphing functions worksheet to have learners complete four tables and graph the results on the included coordinate grid.
Curated OER
Graphs and Transformations of Functions
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
Curated OER
Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Curated OER
Combining Functions
This worksheet includes 46 problems for students to solve. They must combine, solve, and graph functions, and use functions to evaluate and solve equations. This would be an excellent exam or pre test.
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
National Council of Teachers of Mathematics
Drug Filtering
In this chemistry instructional activity, learners calculate the amount of drug found in someones blood based on how long they have been taking the drug. There are 5 questions.
National Council of Teachers of Mathematics
Do I Have to Mow the Whole Thing?
In this mowing worksheet, learners find the area of given rectangles. They determine the combinations of lengths and widths that generate a given area. Learners graph given points. This two page worksheet contains sixteen multi-step...
Curated OER
F(x)g(x): A Tale of Two Functions
In this graphing functions worksheet, students solve four problems where they graph given functions, find the sum related to the area under the curve and determine an integral.
Curated OER
Exploring Complex Roots
In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas. Then, they discuss what makes a solution complex and how to identify functions with complex roots.
Curated OER
Worksheet 4, Functions
Eighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...
Curated OER
Problem Solving: Graphing Functions
In this graphing functions activity, students solve 6 word problems, finding ordered pairs, missing coordinates and numbers, slopes of lines and functions.
Curated OER
Graphing Functions
In this graphing functions worksheet, 10th graders solve 10 different problems that illustrate various graphs of functions. They determine the type of function that each graph shows. Then, students write the equation for the line graphed...
Curated OER
Graph Functions: Practice
In this graph functions worksheet, students complete several activities to help them graph functions. Students use the table and the graph to complete the questions. Students also answer two test prep questions.
William Mueller
William Mueller: Families of Functions
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
American Association of Physics Teachers
Com Padre Digital Library: Open Source Physics: Special Functions Model
This downloadable java simulation shows a variety of special functions. Functions included are Legendre polynomials, Chebyshev polynomials, and Bessel functions.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Functions and Their Graphs
Thirty-three problems present a variety of practice graphing a relation and checking to see if it is a function. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Special Functions
Twenty-five problems present a variety of practice identifying and graphing various functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Math Medics
S.o.s. Math: On Inverse Functions With Restricted Domains
Offers a step-by-step explanation of a one-to-one function problem on inverse functions with restricted domains, clearly using the horizontal line test. Includes sample problems.
McGraw Hill
Glencoe: Self Check Quizzes 1 Graphing Functions
Use Glencoe's randomly generated self-checking quiz to test your knowledge of graphing functions. Each question has a "Hint" link to help. Choose the correct answer for each problem. At the bottom of the page click the "Check It" button...
Shodor Education Foundation
Shodor Interactivate: Lesson: Reading Graphs
Presents an introductory lesson to teach students how to read and plot graphs and determine functions based on graphs.