Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....
Flipped Math
Unit 9 Review: Area of Polygons
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Curated OER
Ratios Involving the Hypotenuse
In this trigonometry worksheet, 10th graders calculate the ratios as it relates to the hypotenuse of the triangle. They find the missing leg, angle or hypotenuse. There are 6 questions with this worksheet.
Mathematics Assessment Project
Hopewell Geometry
Right triangles from 2,000 years ago? Learners investigate different right triangles found in the earthworks of the Hopewell people, a Native American culture that populated the United States from 200BC to AD 500. Learners apply concepts...
Curated OER
Right Triangles and The Unit Circle
Young scholars solve right triangles using trigonometry. In this geometry instructional activity, students use the unit circle to identify different trig values. They identify the six trigonometric identities.
Curated OER
Trigonometry: Worksheet for Test #4
In this trigonometry worksheet, students determine whether given mappings are functions. They evaluate 5 functions for a given x value. Students graph 2 functions. They determine which ordered pairs are solutions to given functions....
Curated OER
Numerical Practice with Big Circles
In this numerical practice worksheet, students determine the measurement of given angles. Using trigonometry ratios, they find the measurement of ten angles on this one-page worksheet.
Curated OER
Unit Circle Triangle
Learners find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Curated OER
Modeling With Circular Functions
High schoolers explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming...
Curated OER
Angles in Standard Positions
Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Curated OER
Automobile-Accident Reconstruction
Students investigate an accident and relate it to math. In this trigonometry instructional activity, students measure the accident scene, the friction produced, and the speed from the skid marks. They create a poster of their findings.
Curated OER
Angles and Angle Measure
In this trigonometry activity, students convert between degrees and radians. They use the unit circle to identify the measure of angles. There are 28 questions with an answer key.
Curated OER
Trigonometric Table
In this trigonometry worksheet, 11th graders convert between degrees and radians using a conversion chart. They use the unit circle to help visualize the relationship between radians and degrees. There is an answer key.
101 Questions
Lucky Cow
Cutting the cheese isn't a joke. Scholars observe a wedge of cheese and must determine how to cut it in half horizontally. They apply their knowledge of sectors to determine the most accurate way to slice the cheese.
Curated OER
Length of a Line Segment - Distance
Pupils determine the distance between two given points. They use the distance formula to determine line length, as well as the length of the radius of a circle. The Pythagorean Theorem may also be used to determine line length. This...
Alabama Learning Exchange
Radians: Just Another Way
Serve up angle measurements on paper plates. Pupils use paper plates and paper-folding techniques to create a unit circle with conversions for special angles. Using their plates, learners explore the relationship between angle...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
Curated OER
Exploring Trigonometric Ratios
Students calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Curated OER
Ten Trigonometric Review Problems - Calculator Required
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
Curated OER
Unit on Spepherical Trigonometry
Tenth graders analyze characteristics and properties of two and three dimensional shapes. In this geometry lesson, 10th graders apply Spherical Easel Technology to help them decipher geometric shapes. They compare and contrast the 2D...
Curated OER
Exercise Set 5.1: Trigonometric Functions of Real Numbers
In this trig functions worksheet, students find the trig values of 46 problems. Students find the trig values of various radian measures. Students use trig properties to prove trig identities.
Curated OER
Measuring the Earth
High schoolers use principles of geometry to measure the circumference of the Earth. In this applied geometry lesson plan, students use mathematics to determine scientific information. They make measurements, calculate the central angle,...
Curated OER
Radius, Diameter and Area
Students identify the radius and diameter of a circle. In this geometry lesson, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.
Curated OER
Diameter, Radius and Area
Students calculate the diameter, radius and area of a circle. In this geometry lesson, students investigate the different ratios of a circle. They calculate the surface are of each circle.