College Board
2010 AP® Calculus BC Free-Response Questions
What do a zoo, snow, and a moving particle have in common? The six free-response items from the 2010 AP® Calculus BC exam allow teachers and pupils see how items may show up in context. Three of the questions are from only the BC portion...
College Board
Differentiability of Piecewise Defined Functions
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
National Council of Teachers of Mathematics
Stitching Quilts into Coordinate Geometry
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project comes with...
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Flipped Math
Calculus AB/BC - Differentiating Inverse Functions
Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...
Curated OER
Integrals
In this integrals worksheet, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals by using substitution. Then, students solve each of the given differential equations when given the...
Curated OER
Integrals
In this integrals learning exercise, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals on the sheet. Then, students solve each of the given differential equations by substituting...
Curated OER
Condensing Section 4.1
For this differential equations worksheet, students solve three sets of questions. The first section is titled "Existence and Uniqueness." The second section is titled "Linear Independence and Dependence," and the third section is about...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Project Maths
Introduction to Quadratics
Develop conceptual knowledge of a quadratic equation and its solutions in your classes. The third algebra lesson in a series of four introduces learners to solving quadratic equations slowly. The first activity explores the zero product...
Achieve
Ground Beef
Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying leanness,...
Pace University
Grades 7-8 Solving Equations
Create a similar blueprint. The differentiated lesson has pupils work in teams to create a brochure, scale model, or blueprint of a selected house with some minor changes. Once finished, team members present their final projects to the...
Flipped Math
Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
Curated OER
A.P. Calculus Integration Test
For this A.P. Calculus worksheet, learners complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields. Some of the problems are multiple choice, while others are...
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
Curated OER
Differentiation Quiz
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
Virginia Department of Education
Types of Variations
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
Curated OER
Worksheet 1
In this math worksheet, students describe the difference between a partial and an ordinary differential equation. They give examples of 1st, 2nd, and 3rd order differential equations. Students apply this information to predator/prey...
Virginia Department of Education
Line of Best Fit
Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Intel
Pedal Power
Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Noyce Foundation
The Wheel Shop
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...