CK-12 Foundation
Orbital Motion
Why do planets orbit the sun in ellipses when moons orbit their planet in circles? Pupils control the semi-major axis, eccentricity of the orbit, and position angle. The resulting orbital appears with the related force vectors as...
Curated OER
Four Coterminal Angle Problems
In this coterminal angle worksheet, students find two positive and two negative coterminal angles for the provided degree measure. The solutions are not provided.
Curated OER
Exercise Set 4.3: Unit Circle Trigonometry
For this unit circle worksheet, students answer 90 short answer questions about the unit circle. Students sketch angles given a radian measure. Students find the trigonometric values of various angles on the unit circle.
Curated OER
Section 8-6: Solving Problems Using Trigonometric Ratios
For this trigonometric ratios worksheet, students solve 20 short answer and multiple choice problems. Students use trigonometric ratios, the angle of depression, and angle of elevation to find missing side lengths of angles of a triangle.
Curated OER
Trigonometric Ratios
For this geometry worksheet, 10th graders use right triangle trigonometry to find the missing angle measure or side length. The three page worksheet contains a combination of twelve multiple choice and free response problems. Answers...
Curated OER
Symmetry in Paper Airplanes
Students explore symmetry. In this geometry and scientific inquiry instructional activity, students design paper airplanes with middle line symmetry, as well as right, obtuse, and acute angles. Students measure the plane's angles using...
Curated OER
Shapes Galore!
First graders explore two-dimensional shapes. Individually, children follow directions to draw shapes. Learners use shaving cream, geoboards, yarn, marshmallows, and toothpicks to create shapes. As a class, 1st graders brainstorm...
Curated OER
Sketching Gadget Anatomy Lab
In this science worksheet, students observe a machine closely from several angles while in operation. Then they identify the elements of machines combined in different gadgets. Students also illustrate how moving parts in machines relate...
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Los Angeles County Office of Education
Assessment For The California Mathematics Standards Grade 6
Test your scholars' knowledge of a multitude of concepts with an assessment aligned to the California math standards. Using the exam, class members show what they know about the four operations, positive and negative numbers, statistics...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 5
Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and how to...
EngageNY
Extending the Domain of Sine and Cosine to All Real Numbers
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Space Awareness
Seasons Around the World
Why does Earth experience summer, fall, winter, and spring? Using an informative demonstration, learners see how the angle of the sun on Earth and the rotation of Earth determine the seasons. Scholars work in pairs to learn that the...
Bowland
Three of a Kind
One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.
Scholastic
Study Jams! Seasons
Use this during the season of teaching about the seasons! As Earth revolves around the sun, its tilt causes the weather to change. The graphics in this presentation show how Earth's position in space has an effect on the angle of...
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
Coterminal angles and Reference Angles
In this calculus worksheet, students identify terminal and coterminal angles using the unit circle. They identify coterminal angles between 0and 2pi and between 0 and 360 degrees. There are 34 questions with an answer key.
Ahisma Summer Institute
The Power of One - Math in a Different Angle
In this 2-day lesson focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board. Exponential...
Curated OER
Measuring Angles
Third graders describe an amount of turn from a particular position to another using the 'circular' benchmarks of 0, ++, ++, ++, and full turn. Estimation language such as 'just about', 'between', 'not quite', 'just over', and similar...
Curated OER
Angles: Angles, Angles, Everywhere
Students estimate and accurately measure the size of angles communicate with the appropriate geometric terms and symbols to describe and name angles, lines, line segments, rays
Curated OER
How the Amount of Solar Energy Absorbed by the Earth is Dependent Upon the Earth's Position
Students investigate the angle of light and how it faces the earth. They conduct a series of investigations with the following two objectives. Students determine if the angle of light is a factor in the absorption of heat. They correlate...
NASA
Foam Rocket
When going for distance, does it make a difference at what angle you launch the rocket? Teams of three launch foam rockets, varying the launch angle and determining how far they flew. After conducting the series of flights three times,...
NASA
The Robotic Arm
Working as teams, class members try to rescue an astronaut using the shuttle arm on a TI-Nspire simulation. Teams must determine the different angle measures in order to reach the stranded astronaut.
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.