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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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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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Relationships Among Arc and Angle Measures in Circles
Learners follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson, it is suggested that the teacher guide the students through the initial problem. When constructions are...
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Radians, Arc Length, and the Area of a Sector
In this college level geometry worksheet, students convert between degrees and radians. Students determine arc length and solve problems involving the area of a sector. The four page worksheet contains seventy-four...
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Thought Experiments in Physics
Using thought experiments in physics can be incredibly valuable, but there some pitfalls to avoid.
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Arc Length and Sectors
Find the length of an arc. Students relate central angles to the area and length of a sector and graph circles on the TI to make predictions.
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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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Area of Sector and Segment
In this area of sector and segment worksheet, 10th graders solve and determine the area of 10 different illustrations. First, they determine the area of a shaded sector given the measurements. Then, students determine the area of each...
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Plain Figures and Measuring Figures
Students investigate basic geometric concepts. For this geometry lesson, students explore solids through measuring and modeling. This assignment models the importance of understanding concrete objects in geometry.
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VSEPR Theory: Predicting the 3-D Shapes of Molecules
In this VSEPR theory learning exercise, high schoolers draw the Lewis structures for 5 molecules, they build the molecule, sketch the structure, show the bond angles and name the molecule. They also answer a question about the VSEPR...
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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...
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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Area of Sectors
In this area of sectors worksheet, students find the area of a given sector, area of inscribed figures, and area of shaded regions. This two-page worksheet contains 20 problems. An answer sheet is provided on the third page.
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Inscribed Quadrilaterals and Parallelograms
Students differentiate between inscribed quadrilaterals and parallelograms. In this geometry lesson, students identify the shaped of the polygons when it is inscribed inside of a circle. They calculate the missing angles of the inscribed...
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Solving Intercepted Arcs
Students investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
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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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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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My Peanut Butter is Better Than Yours!
Learners 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. Learners 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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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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Math: Arcs and Chords
Learners 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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Genetic Challenge Worksheet
In 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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Areas of Polygons
Students calculate the are of regular polygons. In this geometry lesson, students create polygons on the computer and move it around to create different shapes. They explore the area of different polygons and how they inter-relate.
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Algebra 2/Trigonometry Regents Exam
Students review for the Regents Exam. In this math instructional activity, students review core concept for the Regents exam by working a variety of problems. A printable worksheet is provided.