Worksheet
Curated OER

Analysis Review Sheet

For Students 10th - 12th
For this analysis review worksheet, students solve 3 complex inequalities, graph 2 absolute value inequalities, and write the equations for altitudes and tangent lines for 4 problems.
AP Test Prep10:22
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Flipped Math

Calculus AB/BC - Differentiating Inverse Functions

For Students 10th - 12th
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...
Worksheet
Curated OER

Differential Equations

For Students 12th - Higher Ed
In this differential equations activity, students solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an equation for the line...
Worksheet
Curated OER

Math 155 - Worksheet 5. Derivative

For Students Higher Ed
In this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...
Unit Plan
College Board

Vectors: A Curriculum Module for AP® Calculus BC

For Students 10th - 12th
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...
AP Test Prep
College Board

2002 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Become better at the test concepts. An educational resource presents six free-response questions from the AP® Calculus AB exam. Pupils use the items to practice the content, which contains concepts ranging from particle motion to ships...
AP Test Prep
College Board

2007 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
Lesson Plan
West Contra Costa Unified School District

Introduction to Trigonometric Functions

For Teachers 9th - 12th
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
AP Test Prep
College Board

2000 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Gain an upper hand in preparation for the exam. Teachers and pupils use six released questions to gain an understanding of the AP® Calculus exam. By answering the questions, scholars see how different concept of the course show up on the...
Lesson Plan
Curated OER

Surfing the Waves

For Teachers 9th - 12th
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
Lesson Plan
Curated OER

Implicit Differentiation

For Teachers 9th - 12th Standards
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
Lesson Plan
Curated OER

Lines in the Plane

For Teachers 9th - 11th
Students differentiate between parallel and perpendicular lines. For this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Assessment
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1
Mathematics Assessment Project

College and Career Readiness Mathematics Test C2

For Students 9th - 12th
Scholars apply knowledge learned over their high school math courses in order to determine their college readiness. The 20-page resource emphasizes applied problem solving.
Lesson Plan
Curated OER

Worksheet 7 - Asymptote

For Teachers Higher Ed
In this asymptote worksheet, students compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
Worksheet
Curated OER

Higher Order Taylor Polynomials

For Students Higher Ed
In this polynomial learning exercise, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. ...
Worksheet
Curated OER

Parametric Equations

For Students Higher Ed
In this calculus and analytic geometry learning exercise, students explore parametric equations, tangent lines and the loop of curves in six equations.
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 12th Standards
Learn how to evaluate the derivatives of polynomials.  Mathematicians find the derivative of a quadratic function and determine the value at a given value.  Students compare the slope of the secant line through two points with...
Worksheet
Curated OER

Senior Analysis: Review Functions and Tangents

For Students 10th - 12th
In this function worksheet, students find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page worksheet contains 11 multi-step problems. Answers are provided on page two of the...
Worksheet
Curated OER

Math 155 - Worksheet 7. Function

For Students Higher Ed
In this function activity, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page activity contains six problems.
Worksheet
Curated OER

Functions

For Students 12th - Higher Ed
In this functions worksheet, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students write...
AP Test Prep
College Board

2004 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Given a set of questions, pupils realize the way the Calculus BC free-response exam asks questions. The items include both contextual and non-contextual questions. Both types are split into the calculator and non-calculator sections for...
Worksheet
Curated OER

Math 155 - Worksheet 4. Limits

For Students Higher Ed
In this limits worksheet, students find the limits of functions. They identify an equation of the line tangent to a curve. Students identify the velocity of objects. This two-page worksheet contains five problems.
Worksheet
Curated OER

Derivatives

For Students 11th
In this derivatives worksheet, 11th graders solve and complete 2 various types of problems. First, they use the definition of a derivative to find the variable expression shown for each function. Then, students write the equation of the...