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Curated OER
Inverse Trig Functions
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
Curated OER
Chords of Circle
In this geometry instructional activity, 10th graders solve problems using parallel chords, perpendicular bisectors and chords that are equal distance from the center.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Curated OER
Pre-Calculus Review Sheet
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs.
Curated OER
Chapter 7 Final Review Extra Problems
In this Geometry review worksheet, students describe the relationships of two common triangles. They find the area of a segment created by a given sector of a circle for two circles. Students find the length of an arc bounded by the...
Illustrative Mathematics
Designs
A resource that makes for excellent group work as learners explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...
Curated OER
Electric Hoist Problem
Students 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...
Curated OER
Chapter 7 Final Review Extra Problems: Triangles
In this triangles worksheet, learners respond to 4 short answer problems. Students describe side relationships of different types of triangles. Learners find the area of a segment formed by a sector.
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...
Curated OER
3.14159265
Students discover the value of Pi. For this value of Pi lesson, students measure the circumference and diameter of various circles on their graphing calculator. Students find the ratio of the circumference to the diameter and...
Curated OER
Finding Areas of Triangles, Rectangles, and Circles
Students find the areas of geometric shapes. In this geometry lesson students find and measure the sides, perimeters, and areas of quadrilaterals, triangles, and circles. Students relate the measures to the others by using formulas.
Curated OER
Defining the Circular Functions
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
University of Adeaide
Basic Trigonometry and Radians
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
Curated OER
Radian Measure
Young mathematicians identify central angles, arcs and radius of circles in this pre-calculus lesson. They identify the proportion of the circle based on its radius while they convert between degrees and radians measurements.
EngageNY
Graphing the Sine and Cosine Functions
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
Curated OER
3-2-1 Pop!
Students explore rocketry and demonstrate how rocket liftoff is an application of Newton's Laws of Motion. They construct a rocket powered by the pressure generated from an effervescing antacid tablet reacting with water.
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Curated OER
What Shapes Can You See?
Students investigate shapes in art. In this visual arts lesson, students examine the ancient Panamanian "Plaque" and identify the geometric shapes in the art piece. Students combine basic shapes to make an artistic picture of their own.
Curated OER
Construct, Bisect, Duplicate: Geometry Practice with Compass and Straight Edge
Geometers employ a straight edge and compass to duplicate and bisect segments and angles, construct perpendiculars, parallel lines, figures, and circles with points of concurrency. Ample practice with 65 questions across 8 worksheets. No...
Curated OER
Radian Measure
For this Algebra II/Pre-calculus worksheet, students explore radian measure of an angle and convert between degree and radian measure. The seven page worksheet contains explanation, examples, and nineteen multi-part problems. Answers are...
Mt. San Antonio Collage
Graphing Trigonometric Functions
Double win with a comprehensive learning exercise and an excellent worked out answer key. The learning exercise itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig...
Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
Curated OER
Modeling Atoms
Students create an atomic model using a computer program. For this technology lesson, students identify the difference between radius and diameter. They create circular patterns and spheres based on certain specifications.
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...