CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
Curated OER
Lesson Plans that Measure Up
You can use creative ways to teach angle lessons that will meet the needs of all students.
Curated OER
Special Triangles and Quadrilaterals
In this special triangles worksheet, students examine given special triangles. They determine the length of a missing side and/or the measurement of a missing angle for given triangles and quadrilaterals. Students justify...
Curated OER
Interior Angles of Regular Polygons
Students investigate the interior angles of a triangle. In this geometry lesson, students create the formula to calculate the angles inside a triangle. They observe the total sum of a triangles angle on the navigator.
Weber State University
The Sun and the Seasons
Why is there more daylight in June than in December if you live above the equator? How does the angle of sunlight shift throughout the year? Answer these questions and more with an interactive article about the sun, its path through the...
PHET
Bending Light
Different colors of the spectrum travel at different speeds through media, causing them to refract at different angles—which allows humans to see their colors. Through a simulation, pupils see how air, water, and other media bend light....
Radford University
Georgia Peaches and California Dreamin’
Plant the fruits of trigonometry. Pairs work through the process of finding the best place to plant fruit trees on a piece of property. The scholars must take into consideration the location of the property and the solar zenith angle. To...
Curated OER
Finding Unknown Angles
For this finding unknown angles worksheet, 10th graders find each numbered angle's measure for 20 different angles shown in the diagrams. They calculate the size of an angle when the other two angles are known to equal 180 degrees. Then,...
Curated OER
Classify Angles Worksheet
In this angle classification learning exercise, students solve 8 problems in which an angle measurement in degrees is analyzed. Students classify each angle as right, obtuse, or acute.
Curated OER
Angles in a Triangle
In this geometry instructional activity, 10th graders determine the measure or measures of the missing angle(s) in a triangle. The one page interactive instructional activity contains four questions. Answers and hints are included.
Curated OER
Geometry of Triangles - Week 6
In this geometry of triangles worksheet, students find the length of sides, are, and angle measurement of inscribed triangles, pentagons, and midpoint of a line. This two-page worksheet contains seven problems.
Curated OER
"How Much?" Contest - Measurement
Young scholars work with measurements of length, area, and volume capacity of a liquid. They watch a teacher demonstration of both English and metric units before they estimate and take actual measurements of assigned items a three...
Curated OER
Law of Cosines
In this cosine worksheet, students will find the length of the third side of a triangle given the length of the other two side. Students will use the Law of Cosines to find the length of the missing side. Answers will be rounded to 3...
Lone Star College
Geometry Worksheet II
Young geometers get practice with the algebra of angles in an extensive skills practice worksheet. Supplementary, complementary, and vertical angle relationships are used, along with parallel lines cut by a transversal and angle sum...
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...
Curated OER
Tomb Robbers
Sixth graders identify benchmark angles as they are embedded into a circle grid. They observe the teacher using an angle ruler and complete a Star Spangled worksheet, play the game Tomb Robbers, and as a class discuss their game winning...
Curated OER
Shapes and Designs
In this shapes and designs worksheet, 10th graders solve and complete 6 different types of problems. First, they fill in the first two columns of the table show with their shapes. Then, students measure the interior angles of each...
Curated OER
Complimentary and Supplementary Angles
In this geometry worksheet, 10th graders identify complimentary and supplementary angles. They solve for missing angles and relate it to the right angle theorem. There are 16 questions with an answer key.
Curated OER
Exploring Characteristics of Triangles
Students draw triangles and explore the classification of each using the measures of interior angles and lengths of sides. They investigate the sum of the interior angles of various triangles and conjecture and prove the theorem: The...
Curated OER
Opposite Angles in a Cyclic Quadrilateral
Learners investigate cyclic quadrilaterals in this geometry lesson. They use Cabri Jr to explore the sum of the measures of opposite angles in a cyclic quadrilateral. The dynamic nature of Cabri allows students to form and verify...
Curated OER
Missing Measures: Intersecting Lines 2
On a four-page handout that contains 16 multi-step problems, pupils compute the value of various alternate, complementary, and supplementary angles created by intersecting lines and transversals. Answers are provided on the last two...
Curated OER
Arc and Angles Formed by Secants and Tangents
In this calculus worksheet, students solve problems by finding the line of tangency and measure of the arcs and angles form by a secant line. There are 9 questions.
Curated OER
Arcs and Angles Formed by a Tangent and a Chord
In this math worksheet, 10th graders solve problems involving a tangent line intersection the arc and forming various angles. There are 6 problems to be solved.
Curated OER
How Can You Measure This?
Third graders work in small groups to complete a number of investigations in which they have to use measurement. They determine the fractional part of the newspaper that is used for news, sports, etc. They compare their height to their...
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