Mathematics Vision Project
More Functions, More Features
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...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Curated OER
Sets, Relations, and Functions
Sets, relations, functions, and graphing linear equations are practiced in this challenging worksheet. The class determines if a relation is a function or not and find the functional value of a domain element. The one page worksheet...
Curated OER
Integration of Functions
In this calculus worksheet, students integrate given functions following the integration rules. They simplify their answers with trig. values. There are 8 questions with an answer key.
Curated OER
Math 250 - Integration Review Problems
In this integrals worksheet, students find the indefinite integrals of eleven multi-step problems. Students find the integrals of functions with and without intervals.
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
Mathematics Vision Project
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
Mathematics Vision Project
Module 1: Functions and Their Inverses
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
West Contra Costa Unified School District
Introduction to Inverse Functions
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Shodor Education Foundation
Multi-Function Data Flyer
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
Shodor Education Foundation
Linear Function Machine
What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...
Curated OER
Integrating Special Functions
In this math learning exercise, students practice reading the examples of integrating special functions. The examples have the formulas included.
Shodor Education Foundation
InteGreat!
Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
Flipped Math
Calculus AB/BC - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
Calculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...
Curated OER
Worksheet 33 - Integrals
In this integral worksheet, students analyze equations using the gamma function. They sketch graphs of functions, and find the are between the graph and the x-axis. This two-page worksheet contains five multi-step equations.
Curated OER
Worksheet 7 - Integral Test
In this integral test worksheet, pupils use the integral test to determine the upper and lower bounds for a given function. They identify the convergence of a series. This one-page worksheet contains four multi-step problems.
Curated OER
Worksheet One - Definite Integral
In this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
Curated OER
Worksheet 4 - function
In this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
Curated OER
Worksheet 6 - Improper Integrals
In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.