Curated OER
Math: Tangents
Students discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Secant and the Co-Functions
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
Curated OER
Solving Intercepted Arcs
Students investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
Curated OER
DEAD MAN'S CURVE
Ninth graders, after being given a unique scenario and a task sheet on Dead Man's Curve, calculate and explain the force needed to keep a car on a curve using a set of formulas and a geometric property of circles. They utilize and create...
Curated OER
Power of a Point
Students solve problems by finding the radius or diameter. In this geometry lesson plan, students identify the tangent line of a circle and use properties of circles to find the radius. They relate circles to the real world.
Curated OER
Inverse and Converse
In this geometry worksheet, students identify given statements for the inverse, converse and contra-positive of a conditional statement. There are 9 questions with an answer key.
CK-12 Foundation
Trigonometric Functions of Angles Greater than 360 Degrees: Snowboarding
Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.
Curated OER
Positive and Negative Angles and Arcs
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Curated OER
Why do Stars Rise in the East?
For this stars rise in the east worksheet, students use geometry to show how the Earth rotates from west to east and why celestial bodies appear to rise in the east and set in the west. Students draw a figure and label given points in...
Curated OER
Trigonometric Ratios
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.
Curated OER
Triangles
In this triangles learning exercise, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of 3...
Curated OER
SAT Grid Ins Practice Test 05
In this SAT practice test worksheet, 12th graders answer 10 short answer questions. Questions are from a variety of topics, but mainly ask about geometry concepts. The test is self-scoring.
Curated OER
Intersecting Lines and Segments of Measures
Mathematicians measure intersecting lines-and circles, and create chords. In this geometry lesson plan, learners explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the circleor outside...
Curated OER
Seven Sets of Area Problems
In this area worksheet, students solve for the area of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, circles, and surface area. The worksheets is divided into seven different sets of problems.
Curated OER
Inscribed Angles
Students analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.
Curated OER
Angles and Arcs
Students discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs.
Students give examples of concentric, similar, and congruent circles and congruent arcs.
Curated OER
Math: Arcs and Chords
Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...
Curated OER
Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
Curated OER
Building Bridges
Students identify the different types of bridges. Using the internet, they research information on how they are built by completing a scavenger hunt. Locating a specific area, they determine which type of bridge would be appropriate and...
Science Buddies
Science Buddies: Circles, Tangent Lines and Triangles
Here is a project that combines Computer Science and Mathematics. The semicircle has two tangent lines that meet at point T. You need to prove that a line drawn from A to T bisects CD. You'll also learn how to create an interactive...
Government of Alberta
Learn Alberta: Math Interactives: Exploring Circle Geometry Properties
Investigate circles, namely their angles, chords, and tangents using this highly interactive Learn Alberta math. Explore a number of circle geometry properties that can be used to determine unknowns. Be sure to follow the link to the...
Mathigon
Mathigon: Geometry: Circle and Pi: Degrees and Radians
Rather than dividing a circle into some number of segments (like 360 degrees), mathematicians often prefer to measure angles using the circumference of a unit circle - a circle with radius 1. This way of measuring angles is called...