Curated OER
Circles and Angles
Learners identify tangents, chords and secants. In this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.
Curated OER
Measurement of a Central Angle
Students calculate the measurement of a central angle. In this geometry lesson, students identify properties of circles. They use Cabri software to create and analyze graphs.
Curated OER
Square Circles
Students find the perimeter and diameter of given shapes. In this square circles instructional activity, students measure circles and squares. They explore the relationship between the circumference of a circle and its diameter. ...
Curated OER
Exercise Set 5.1: Trigonometric Functions of Real Numbers
In this trig functions worksheet, students find the trig values of 46 problems. Students find the trig values of various radian measures. Students use trig properties to prove trig identities.
Curated OER
Pizza Possibilities
Middle schoolers create and interpret line plots, bar graphs, and circle graphs. The instructional activity assumes mastery of conversions from fraction to decimal to percent, construction of angles, and at least an introduction to...
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.
Illustrative Mathematics
Eratosthenes and the Circumference of the Earth
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Curated OER
Arc Measurement Based on The Measurement of a Central Angle
Students define keywords that are important to solve problems. In this geometry lesson, students find the arc length and angle of a circle. They convert between radians and degrees.
Curated OER
The Solar System
Students construct a sketch of the planets in our solar system using concentric circles and angles. In this solar system lesson plan, students plot the position of each planet on concentric circles using graph paper. The sun is included...
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...
West Contra Costa Unified School District
What Is a Radian?
Here's an algebra II activity that strives to make the concept of a radian less abstract and more conceptual. It takes a hands-on approach to exploring the idea of a radian and allows individuals to develop a definition of a radian...
Curated OER
The Circle's Measure
Pupils explore circumference and diameter. In this math lesson, students apply their knowledge of circumference and diameter to solve mathematical riddles. Pupils apply this knowledge to find circumference and diameter of various objects.
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
Basic Geometry Ideas and Angle Measurement
Seventh graders explore the concept of basic geometry. In this basic geometry lesson plan, 7th graders identify the correct picture for a given vocabulary word such as midpoint, line, ray, or parallel lines. Students discuss examples...
Curated OER
Woody Sine
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...
Curated OER
Measuring the Earth
Young scholars identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
Curated OER
Arc Length Lesson
Students find the length of the arc of a circle. In this geometry instructional activity, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and...
Curated OER
Circle Packing
Young scholars identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
Curated OER
Pattern Using Unit Cells
Learners explore the pattern of the unit cell. In this science lesson plan, students color the unit cells on a worksheet and create a pattern using unit cells.
Curated OER
Electric Hoist Problem
Young scholars convert angle measures between degrees and radians. They are given a copy of the task sheet with a graphic to help describe the situation. Pupils review the angle and arc relationship in a circle related to length of the...
EngageNY
Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
Curated OER
Understanding Fundamental Trigonometric Identities
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...