Curated OER
Pythagorean Theorem
Learners solve problems using the Pythagorean Theorem. For this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
Curated OER
Circle Terminology
In this geometry instructional activity, students identify radii, diameters, chords, tangents, secants and other terminology associated with circles. The one page instructional activity contains eighteen problems. Answers are not...
Curated OER
Unit Circle Triangle
Learners 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,...
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
West Contra Costa Unified School District
Arcs and Angles
Noah didn't construct this kind of arc. High school scholars first explore how angles can be formed in circles. They then learn relationships between angles and arcs by conducting an exploratory activity where they position and draw arcs...
Curated OER
Volume and Surface Area
In this volume and surface area learning exercise, 10th graders solve and complete 12 different types of problems. First, they find the volume of an isosceles trapezoid. Then, students find the volume and total surface area of a sphere....
Curated OER
Ten Multiple-Choice Circle Problems
In this circle worksheet, students solve ten multiple-choice questions concerned with the area, radius, diameter, and circumference of a circle. The solutions are provided by clicking on the "show answers" button on the bottom of the page.
EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
NASA
Communications and the Lunar Outpost
Can you hear me now? Groups use given information about communication on the moon to determine the maximum distance an astronaut can travel and stay in communication. Using the calculations, they determine what lunar features they can...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
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.
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...
Alabama Learning Exchange
"I Saw the Sine"
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
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
Beyond the Blue Horizon...Advanced
For this calculating the horizon worksheet, students solve 6 problems using algebra, derivatives and calculus to find the formula for the line-of-sight horizon, the distance along a planet, the horizon distance and the rates of change...
Curated OER
Angles in Standard Positions
Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
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.