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Illustrative Mathematics

Eratosthenes and the Circumference of the Earth

For Teachers 9th - 12th Standards
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Lesson Plan
EngageNY

Solving Problems Using Sine and Cosine

For Students 9th - 10th Standards
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....
Lesson Plan
1
1
NASA

Launch Altitude Tracker

For Teachers K - 12th Standards
Using PVC pipe and aquarium tubing, build an altitude tracker. Pupils then use the altitude tracker, along with a tangent table, to calculate the altitude of a launched rocket using the included data collection sheet.
Worksheet
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Curated OER

Trigonometry and the Calculator

For Students 10th
In this geometry worksheet, 10th graders use a graphing calculator to evaluate trigonometric functions and their inverses. The four page worksheet contains explanation, examples, and twenty questions. Answers are not...
Worksheet
Curated OER

Trigonometry: Labeling, Formulas, Solving

For Students 11th - 12th
In this math worksheet, students label sides of right triangles as opposite, hypotenuse, and adjacent to the labeled angle. On the second page of the worksheet, students label the part of the right triangle marked with a question mark...
Worksheet
Curated OER

Trigonometry

For Students 10th - 12th
In this right triangles worksheet, students use trigonometric ratios to determine the length of a side of a triangle or a missing angle measurement.  This two-page worksheet contains 20 problems.
Worksheet
Curated OER

Trigonometry Puzzle

For Students 8th - 12th
In this trigonometry instructional activity, students solve for the degree or the ratio in 48 questions using the 6 basic trigonometric functions. 
Worksheet
Curated OER

Trigonometry Ratios in Right Triangles

For Students 10th
For this trigonometry ratios in right triangles worksheet, 10th graders solve 10 different trigonometric ratios that apply to right triangles. First, they define a trigonometric ratio and its three most common ratios, sine, cosine, and...
Lesson Plan
Curated OER

Equations, Formulas and Identities

For Teachers 8th - 10th
Students rewrite word problems using the correct symbols. In this algebra lesson, students find the trigonometric identities and use them to solve problems. They write equations for the trigonometric ratios.
Lesson Plan
Curated OER

Trigonometric Transformations

For Teachers 10th - 11th
Students perform transformation on trig functions. In this precalculus activity, students relate the London Eye observation wheel to trig function. They use a TI navigator to visualise the parameter created by this view and relate it to...
Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 9th - 12th Standards
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
Lesson Plan
Curated OER

Hunter Fred's Quest for Dinner

For Teachers 9th - 12th Standards
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
Worksheet
Curated OER

Using Trinonometry to Find Angle Measures

For Students 10th - 12th
In this trigonometric ratios learning exercise, students find the missing angle of 20 triangles by using sine, cosine and tangent ratios. Students compute the angle measurement of given ratios for six problems.
Worksheet
Curated OER

Trigonometry Homework

For Students 10th - 12th
In this right angles worksheet, students use trigonometric ratios to determine the length of a missing side or a missing angle of a right triangle.  This two-page worksheet contains 19 problems.
Worksheet
Curated OER

Trigonometric Functions

For Students 11th - 12th
In this trigonometric worksheet, students examine trig functions dealing with directions and decide whether the functions are linear or not. There are 13 matrices to be analyzed with an answer key.
Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 10th - 12th
Pupils measure and analyze angles. For this trigonometry lesson, students measure angles and distances use non-traditional techniques. They identify the different ratios of sine, cosine and tangent.
Lesson Plan
Curated OER

Properties of Trigonometric Functions

For Teachers Higher Ed
In this properties of trigonometric functions worksheet, students complete 4 sections consisting of 15 problems involving problem solving using Pythagorean and trigonometric identities and sketching functions..
Worksheet
Curated OER

Limits

For Students 11th - Higher Ed
In this limit notation worksheet, students evaluate limits and simplify functions containing trigonometric ratios. This two-page worksheet contains four equations.
Worksheet
Curated OER

Differentiate Functions

For Students 12th - Higher Ed
In this function activity, students differentiate functions containing trigonometric ratios. This one-page activity contains three problems.
Worksheet
Curated OER

Right Triangle Stuff

For Students 12th - Higher Ed
In this right triangle worksheet, students use trigonometric ratios to find the hypotenuse, right angle, opposite leg and angles. This one-page worksheet contains eight problems. Answers are provided at the bottom of the page.
Worksheet
Curated OER

Number of Solutions for a Triangle

For Students 11th - Higher Ed
In this solutions for a triangle worksheet, students use trigonometric ratios to determine the number of triangles that can be constructed with the given sides and angles. This one-page worksheet contains 22 problems.
Worksheet
Curated OER

Trigonometry Worksheet: Verify Identities (2)

For Students 10th - 12th
In this sine and cosine identities worksheet, students verify the identities of two problems.
Worksheet
Curated OER

Trigonometric Graphs: Vertical Shift and Stretching

For Students 10th - 12th
In this trigonometric graph worksheet students describe the period, amplitude and vertical shift of given functions. They graph the trigonometric function. This four-page worksheet contains 16 multi-step problems.
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...

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