Curated OER
Math Regents Exam Questions: Surface Area and Volumes
In this surface area and volume worksheet, students solve 4 short answer and multiple choice problems. Students find the volume and surface area of cylinders and prisms.
EngageNY
Geometry Module 5: End-of-Module Assessment
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
Willow Tree
Patterns - Numbers, Shapes, etc.
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that represents a...
EngageNY
What Is a Trigonometric Identity?
Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.
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...
EngageNY
Inscribed Angle Theorem and Its Applications
Inscribed angles are central to the lesson. Young mathematicians build upon concepts learned in the previous lesson and formalize the Inscribed Angle Theorem relating inscribed and central angles. The lesson then guides learners to prove...
Curated OER
A Cone and Its Net
Create and investigate nets for solid shapes with your class. They identify the different parts and faces of each polygon and solid then calculate the surface area and volume of cones. They use circle sectors of varying sizes to build...
Curated OER
Rewriting Equations &Formulas
Practice with literal equations. Solve for one variable in terms of another. Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at the...
Curated OER
Circumscribed Polygons
Students investigate polygons and construct ferris wheels. In this geometry lesson, students create a circle and differentiate properties of circles and polygons. They compare the relationship between angles and circumscribed polygons.
Curated OER
Properties of Arcs, Lengths and Chords
Learners differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
Curated OER
Automobile-Accident Reconstruction
Young scholars investigate an accident and relate it to math. In this trigonometry lesson, students measure the accident scene, the friction produced, and the speed from the skid marks. They create a poster of their findings.
EngageNY
The Angle Measure of an Arc
How do you find the measure of an arc? Learners first review relationships between central and inscribed angles. They then investigate the relationship between these angles and their intercepted arcs to extend the Inscribed Angle Theorem...
Illustrative Mathematics
How Many Leaves on a Tree? (Version 2)
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Curated OER
Tangent Properties
Students explore properties of tangent lines. In this properties of tangent lines lesson, students discuss the perpendicular relationship between a tangent line on a circle and the circle's radius. Students use that relationship to...
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, students find the volume in each of the ten problems listed and write their measurements in terms of the larger amount. They find the volume of a sphere, a rectangular solid, and a cylinder....
Curated OER
Geometric Probablitiy: Spinners and Dartboards
Sstudents explore and analyze the properties of geometric areas. In this geometry lesson, sstudents use technology to simulate spinners and dartboards in order to fing areas of circles and sectors of circles and compare and contrast...
Curated OER
Introducing Trigonometry
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...
Curated OER
Unit Circle Triangle
Students 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
Spherical Geometry: A Global Perspective
Students investigate spherical geometry using a globe and an apple. In this spherical geometry lesson plan, students translate Euclidean geometry terms to spherical geometry terms using a globe. They answer 3 questions about spherical...
Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
Curated OER
Periodic Functions
In this calculus learning exercise, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
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
Spheres Homework
In this spheres worksheet, learners determine the volume and area of spheres when given the diameter or radius. This one-page worksheet contains 10 multi-step problems.