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Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Shodor Education Foundation
Function Flyer
Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.
Shodor Education Foundation
Two Variable Function Pump
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Curated OER
Get Crafty! Integrate Art and Science
By combining diverse subjects, you will create some of your most memorable lessons.
College Board
2017 AP® Calculus BC Free-Response Questions
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and...
College Board
2014 AP® Calculus AB Free-Response Questions
Give classes a sneak peek at an upcoming test. Scholars work released items from the AP Calculus AB test to prepare for their own exams. The resource consists of six items, two graphing calculator items, and four non-calculator items....
Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus instructional activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to...
Curated OER
Worksheet 29 - Interval
In this interval worksheet, students find integrals of functions, use the first derivative test to classify points, and find the local and global extrema. This one-page worksheet contains eight multi-step problems.
Flipped Math
Calculus AB/BC - Applying Properties of Definite Integral
Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Curated OER
Daily Lesson Plan for the Struggling Writer and Speller
Special educators know that it isn't all about the lesson plan, but rather the strategies and practices you choose to use. Here are a set of research-based practices and tips you can use to inform your choices when teaching learners who...
Mathematics Vision Project
Circles and Other Conics
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Flipped Math
Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables
Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...
Delegation of the European Union to the United States
The Founding and Development of the European Union
How did Europe transition from a period of conflict to a period of sustained peace? As class members continue their study of the history and development of the European Union, groups examine the events in six time periods, from the...
Curated OER
Exploring Countries and Cultures
Fifth graders choose a country associated with a family member and research its location, government, language, economy, history, holidays, foods, sports, and famous people. They write to inform using this data and draw a map identifying...
Curated OER
Review Integration
In this integration activity, students integrate 16 functions. Students take the integral of functions using partial fractions and uv substitution.
Curated OER
Nine Definite Integrals and Fundamental Theorem Of Calculus Problems
In this definite integral worksheet, student find the value of five definite integrals. Student then explain why a definite integral inequality holds true. Finally, students are given the graph of a functions and asked to...
Curated OER
Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions worksheet, students answer 18 multiple choice problems about rational functions. Students determine values for a which a function is undefined given the equation of the function.
Curated OER
MVT for Integrals
Young scholars identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
Curated OER
Integrating Functions
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Shodor Education Foundation
Vertical Line Test
Connect the points to create a function. Using points given by the applet, pupils try to connect them to create a line that would pass the vertical line test. The resource keeps track of the number of sets the learner is able to identify...
Shodor Education Foundation
Possible or Not?
What does the graph mean? Pupils view 10 graphs and determine whether they are possible based on their contexts. The contexts are distance versus time and profit versus time.
Utah Education Network (UEN)
Utah Open Textbook: 7th Grade Science
Physical and biological factors affect everyday living. Scholars explore electromagnetic forces, motion, the rock cycle, and geological changes. They examine cells as the building blocks of life and how organisms reproduce using images...
Curated OER
Sudoku Puzzle: Definite Integrals
In this Sudoku worksheet, students first solve 36 definite integral problems and then place them into the puzzle. The remainder of the Sudoku is left to solve.