AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
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

Graphing Functions

For Students 11th - Higher Ed
In this graphing functions worksheet, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.
Lesson Plan
Curated OER

Some Explorations With Even And Odd Functions

For Teachers 11th - 12th
In this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
Activity
Curated OER

Foxes and Rabbits 2

For Teachers 10th - 12th Standards
Explore the relationship between the population of foxes and rabbits in a national park using trigonometric models. Plot data and find the appropriate trigonometric functions. Two questions require interpretation and explanation of...
Worksheet
Curated OER

Investigating Transformations

For Students 11th - 12th
In this trigonometry worksheet, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page worksheet contains explanation, examples, and forty-seven...
Worksheet
Curated OER

Senior Analysis

For Students 11th - 12th
In this senior analysis worksheet, students solve and complete 10 various types of problems. First, they graph each function completely. Then, students label the axes and show a table for each. They also determine if the graph is a...
Lesson Plan
Curated OER

The Unit Circle

For Teachers 9th - 11th
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
Worksheet
Curated OER

Worksheet 14

For Students 11th - Higher Ed
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
Lesson Plan
Curated OER

Trig Derivatives

For Teachers 10th - 12th
In this trigonometric derivative worksheet, students analyze the function and identify the derivative. This one-page worksheet contains approximately 20 problems.
Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...
Worksheet
Curated OER

Worksheet 4 - Math 126: Sketching Polar Equations

For Students 9th - 12th
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
Lesson Plan
Curated OER

Graphs of the Sine and Cosine Function

For Teachers Higher Ed
For this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided. 
Lesson Plan
Curated OER

Trigonometry Practice: Trigonometric Graphs #3

For Teachers 10th - 12th
In this Trigonometry Practice worksheet, students are asked to graph a variety of trigonometric functions.  A graphing calculator is required to complete these three pages.
Worksheet
Curated OER

A.P. Calculus - First Semester Esxamination

For Students 11th - 12th
In this calculus exam instructional activity, learners solve 40 multiple choice and short answer questions.  Students find normal lines, derivatives of functions, evaluate functions at points, etc.
Interactive
Curated OER

Graph a csc Trigonometric Function

For Students 11th - Higher Ed
In this trigonometry function worksheet, students graph one csc function with transformations.  A grid for graphing is provided. 
Worksheet
Curated OER

Worksheet 12: Relative Maximum and Minimum

For Students 12th - Higher Ed
In this relative maximum worksheet, students determine the velocity and the relative maximum and minimum of given functions. They identify continuous functions and illustrate their graphs of functions. This three-page worksheet...
eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Assessment
Inside Mathematics

Hopewell Geometry

For Teachers 9th - 12th Standards
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Lesson Plan
Curated OER

Graph of the Tangent, cotangent, Secant, and Cosecant Functions

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions.  Students find the intercepts and any asymptotes.   The seven page worksheet contains...
Worksheet
Curated OER

Trigonometric Graphs: Vertical and Horizontal Shift of Functions

For Students 10th - 12th
In this vertical and horizontal shift of functions, students describe the period, amplitude, horizontal shift and vertical shift of each given function. This three-page worksheet contains seven multi-step problems.
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

Domain and Range

For Students 12th - Higher Ed
In this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...
Lesson Plan
Curated OER

Ratios in Right Triangles

For Teachers 9th - 12th Standards
Learners calculate the sides of right triangles in this trigonometric ratios lesson. They use Cabri Jr. software and TI-83 or TI-84 calculators to find the side lengths and their ratios to each other for various triangles. The provided...