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...
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Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Mathematics Assessment Project
Hopewell Geometry
Right triangles from 2,000 years ago? Learners investigate different right triangles found in the earthworks of the Hopewell people, a Native American culture that populated the United States from 200BC to AD 500. Learners apply concepts...
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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.
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Solving Intercepted Arcs
Students investigate circles and its arcs. In this geometry activity, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
Cornell University
Resolution—Not Just for the New Year
Experiment with optical resolution using an inquiry-based lesson. Young researchers calculate fellow classmates' optical resolutions. They apply the information to understand the inner workings of optical instruments.
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Inscribed Angles
Students analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.
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Constructing Geometric Shapes
In this construction geometric shapes worksheet, student use the software program for instruction then construction shapes and bisect angles for four questions.
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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.
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Tangent Properties
Students explore properties of tangent lines. In this properties of tangent lines lesson, students discuss the perpendicular relationship between a tangent line on a circle and the circle's radius. Students use that...
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Christmas Presents
Seventh graders create a graph of their Christmas gifts. They develop categories, compute fractional and decimal parts for each category, identify the number of degrees to represent each fractional part, and create a circle graph to...
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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...
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Plain Figures And Measuring Figures
Seventh graders investigate the mathematical concept of a sector. They apply the concept to an example problem and then move into a more complex application. They find the area of the side of a cone. This is done as students calculate...
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Solving Problems Involving Chords, Radii, Tangents, Secants and Arcs within the Same Circle
Tenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.
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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...
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Exploring Geometric Figures
Tenth graders explore mathematics by participating in hands-on daily activities. Learners identify a list of different shapes and classify them by shape, size, sides and vertices. They utilize tangrams and geometric pieces to gain...
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Motion Picture Analysis Worksheet
In this motion picture analysis worksheet, students decipher what type of motion picture they viewed based on a complete list of criteria. Students then answer multiple questions based on their discoveries.
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Organic Chemistry Problem Set Exam 1
Though there are technically only 13 questions on this exam, they take up six pages and make a thorough assessment of organic chemistry principles. There are plenty of diagrams to label or complete. Emission spectra are displayed for...
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Lesson 5.3 Vocabulary Quiz: Concurrent Lines, Medians, & Altitudes
In this vocabulary worksheet, students match a given vocabulary word to the correct definition. Words include such terms as altitude, centroid, circumcenter, circumscribed circle, inscribed circle, median and...
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My Peanut Butter is Better Than Yours!
Students explore the concept of statistical data. In this statistical data lesson, students read an article about the dangers of peanut butter to those who are allergic. Students perform a taste test of two different brands of peanut...
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Information Extra
Students create a paragraph about a subject of their chosing that is informative. In this paragraph writing lesson, students use graphic organizers and work together in groups to create a full, organized...
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Genetic Challenge Worksheet
For this genetics worksheet, students describe how to tell the difference between DNA, RNA, and proteins. Students also learn about the processes of transcription and translation. This worksheet has 3 short answer and 3 fill in the blank...
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Algebra 2/Trigonometry Regents Exam
Pupils review for the Regents Exam. For this math lesson, students review core concept for the Regents exam by working a variety of problems. A printable worksheet is provided.