Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
Lesson Plan
Curated OER

How are Trig Ratios Used to Measure Triangle Sides

For Teachers 8th - 11th
Students identify the ratios of trig identities. In this geometry lesson, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.
Interactive
Curated OER

Trigonometry Worksheets

For Students 9th - 12th
In this online math worksheet, students utilize elements of trigonometry in order to describe aspects of a right triangle. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
Worksheet
Curated OER

Complex Analysis: Complex Exponential

For Students Higher Ed
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
Lesson Plan
Curated OER

Graphs of the Sine and Cosine Function

For Teachers Higher Ed
In 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. 
Worksheet
Curated OER

Modelling Periodic Phenomena

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students determine the trigonometric function that best models the given data. The eight page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.
Worksheet
Curated OER

Mathematics B: High School Exam

For Students 11th - 12th
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...
Worksheet
Curated OER

Worksheet 6.7 MT-A141 PreCalculus

For Students 10th - 11th
In this PreCalculus activity, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
Worksheet
Curated OER

Worksheet 14

For Students 11th - Higher Ed
In this math learning exercise, 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.
Worksheet
Curated OER

Complex Analysis: Rectangular Form

For Students Higher Ed
In this rectangular form worksheet, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page worksheet contains approximately 12 multi-step problems.
Worksheet
Curated OER

Identity Worksheet

For Students 11th - Higher Ed
In this identity worksheet students use trigonometric functions to prove given statements are true. This one-page worksheet contains fifteen problems.
Worksheet
Curated OER

Trigonometry Worksheet

For Students 10th - 12th
In this trigonometry instructional activity, students use the law of sines to find the length of a missing side of a triangle. They prove trigonometric identity and use Heron's formula to find the area of a triangle. This two-page...
Worksheet
Curated OER

Further Trigonometry

For Students 11th - 12th
In this trigonometry worksheet, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given trig...
Worksheet
Curated OER

Evaluate Integrals

For Students 12th - Higher Ed
In this evaluating integrals worksheet, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...
Assessment
New York State Education Department

Regents High School Examination, Integrated Algebra 2010

For Teachers 9th - 12th
In this integrated algebra worksheet, high schoolers solve problems on topics covered throughout the year. Topics include, but are not limited to, inequalities, probability, functions, interval notation, exploring graphs, and...
Worksheet
Curated OER

Trigonometric Graphs: Vertical and Horizontal Shift of Functions

For Students 10th - 12th
For this vertical and horizontal shift of functions, learners describe the period, amplitude, horizontal shift and vertical shift of each given function. This three-page worksheet contains seven multi-step problems.
Lesson Plan
New York State Education Department

Regents High School Examination: Algebra 2/Trigonometry 2010

For Teachers 9th - 12th
In this high school worksheet, high schoolers solve problems involving angles, functions, square roots, and sequences. They read word problems, write equations, and then solve them. This 28-page worksheet contains 39 problems.
Worksheet
Curated OER

Challenge Discussion Sheet 10: Limits

For Students Higher Ed
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
Worksheet
Curated OER

Worksheet 10: Differentiation

For Students 12th - Higher Ed
In this differentiation learning exercise, students differentiate functions, sketch graphs of functions, determine the area of inscribed polygons, and use the Mean Value Theorem for functions and intervals. This four-page learning...
Worksheet
Curated OER

Mathematics B: New York High School Test

For Students 11th - 12th
In this mathematics worksheet, students solve problems pertaining to high school mathematics. Problems include topics such as finding the sine, cosine and tangent. They graph functions, work with statistics, solve measurement problems,...
Worksheet
Curated OER

Areas Between the Curves

For Students 8th - 9th
In this algebra instructional activity, students solve and complete 12 problems involving sine, cosine, area and function.
Worksheet
Curated OER

Periodic Functions

For Students 11th - 12th
In this Pre-Calculus worksheet, students solve problems involving periodic functions.  The three page worksheet contains twenty-three problems.  Answers are not provided. 
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Cosine

For Students 10th - 12th Standards
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.