CK-12 Foundation
Radian Measure: Unit Circle Conversions
Individuals investigate the relationship between radian and angle measurements by using an interactive to find the angle measurement for given radian measures. Users answer questions to convert between the two measurements.
101 Questions
Lost in the City with a Clinometer
Come look at trigonometry from a different angle. To begin a simple activity, scholars view a video of someone using a clinometer to find the angle of elevation to the top of a building. They then use a diagram that shows the building's...
Radford University
Parallel Lines Cut by a Transversal
Use the parallel lines to find your way. After first reviewing geometric constructions and the relationships between angles formed by parallel lines and a transversal, young mathematicians write proofs for theorems relating to parallel...
Radford University
Where Should We Sit?
Where's the best seat in the house? Given a diagram of a movie theater, pupils determine the best seats based on the viewing angle. They use inscribed angles to justify their choices.
Flipped Math
Proving Lines Parallel
Show it can all be proved. Scholars learn the converses of the properties of parallel lines. Using the converses, pupils determine which lines are parallel based on angle measurements and practice using a flow proof to show that two...
Flipped Math
Secants and Tangents
Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving...
Radford University
Right Triangle Applications: Lessons 1 and 2
Use right triangles for more than just mathematical problems. The first two lessons of a unit ask pupils determine distances between cities by using the Pythagorean Theorem and a map. To cement understanding, learners use trigonometric...
Radford University
Pirate Attack
Arr ye matey, it's time for some trig. Learners first read up on the 2010 attack on the USS Nicholas by a group of pirates and the testimony of one of the witnesses. They use right triangle trigonometry to determine if the account is...
Flipped Math
Intro to Trigonometry
Expand trigonometric ratios beyond right triangles. Pupils start with a review of trigonometric ratios and then take a look at angles in standard position to determine their measurements. Scholars discover how to find coterminal angles...
Flipped Math
Unit 11 Review: Circles
Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...
Curated OER
Yellow Days: Studying Vincent van Gogh's Painting
Students examine the painting, "Sunflowers," by Vincent van Gogh noting the use of the yellow color, the wiggly lines, and the "globs" of paint used to create the picture. Pictures are painted using van Gogh's image as a model.
Curated OER
To Be a Triangle Or Not To Be a Triangle?
In this triangles worksheet, 10th graders solve and complete 10 different problems that include applying the Triangle Inequality Theorem. First, they use the illustrated triangles and the data table to test the theorem. Then, students...
Curated OER
Basic Geometric Concepts - Homework 14.1
In this recognizing geometric figures worksheet, students read descriptions, draw, label, and write the names and symbols for basic geometric figures. Students solve thirteen problems.
Curated OER
The Barbarian Invasions: The Migration Period in Europe 300-700 CE
The Vandals, The Goths, and Saxons - sounds like a line-up for a punk show. But it's not! These are some of the Barbarian tribes that moved into Europe at the fall of the Roman Empire. This clear presentation describes several key...
Curated OER
Square Corners
Which ones are square corners? As they learn more about shape attributes, be sure scholars understand the difference between a vertex and a square corner. After examining two examples, learners circle the 90-degree corners in 12...
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
CK-12 Foundation
Conversions between Degrees and Radians: Charting Hours in the Day
Forget hours, divide the day into radians instead. Class members convert the angles in a pie chart of daily activities into radian measures. They add angle measures for multiple activities then determine a relationship between the radian...
CK-12 Foundation
Length of an Arc: Pi Hour
What time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.
CK-12 Foundation
Least Time
What is the fastest way to get from point A to point B if you are going through two different mediums, such as air then water? Scholars explore the way light travels through air, water, acrylic, glass, and diamond as they answer this...
CK-12 Foundation
Cannon Simulation
Fire in the hole! Thrill your classes as they see what it's like to fire a cannon ball. Scholars practice aiming a cannon ball by altering first the firing angle, then the velocity, and finally both simultaneously. Can they discover the...
CK-12 Foundation
Linear Pairs
Pair up this resource with a lesson on linear pairs. Scholars solve for missing variables and values of angles in linear pairs. They use an interactive to help with this endeavor.
Concord Consortium
Pendulum
Add some zing to your swing! Explore pendulum motion through an engaging interactive. Physical science scholars specify the pendulum's mass, rod length, and starting angle before they observe the resulting angle graph.
NASA
Photons in the Radiative Zone: Which Way Is Out? An A-Maz-ing Model
Can you move like a photon? Young scholars use a maze to reproduce the straight line motion of a photon. The second in a six-part series of lessons on the sun has learners measure angle of incidence and refraction to determine the path...
National Council of Teachers of Mathematics
Taking a Spin
It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to...
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