Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
Curated OER
Calculus 2.1 day 2 - Step Functions
"Step functions" are sometimes used to describe real-life situations. This extensive lesson with many practice examples demonstrates two such functions: the Greatest Integer Function and the Least Integer Function. The commands on the...
Curated OER
Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
Curated OER
Exploring Functions with Calculus and Dynamic Software
Calculus can be project-based and inquiry-centered by using dynamic software.
College Board
Vectors: A Curriculum Module for AP® Calculus BC
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
Mathematics Assessment Project
Bestsize Cans
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus required.
Curated OER
Getting a Little "Lift"out of Calculus
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
Curated OER
Disc/Washer Method
Students calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create sections that are...
Wake Forest University
Authentic Activities for Connecting Mathematics to the Real World
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities can be...
Curated OER
Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
Curated OER
Working with Rates of Change
In this calculus worksheet, learners problem solve 8 word problems involving rates of change in association with high school students. Learners work out each problem and give a short explanation of each answer.
College Board
Extrema
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
Curated OER
Cutting Corners - Parts 1 and 2
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Curated OER
Exploring the FTC using the TI
Students use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
Curated OER
Balance Point
In this math/science worksheet, students find the balance point of a variety of objects, and complete ten problems. Students look at sketches of objects and calculate the balance point, and also use meter sticks and weights. This is an...
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
Curated OER
Extreme Values
Students sketch a picture of what appears on a computer screen. Locate the extreme points on the pictures and label them as maxima or minima. Use the definitions of maxima and minima to explain how you identified the points indicated, if...
Curated OER
Gravity: A Relatively Heavy Subject
Students examine planetary movement and its relation to the tide.In this gravity lesson students describe how and why the high and low tides change every day.
Curated OER
Determining Center of Gravity
Students complete calculus calculations involving the structure and properties of matter and determining the center of gravity.
Curated OER
Mathematics Review
In this math review worksheet, students review for their exam using a variety of worksheets on different topics. There are 34 problems plus some word problems in the worksheet booklet.
Curated OER
An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle, graphing in...