Mathematics Assessment Project
Sorting Equations of Circles 2
How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...
Texas Instruments
Area of Circles
Students explore circles. In this algebra/geometry lesson, students discover the formula for the area of a circle, as they investigate the ratio of the area of a circle to the radius^2.
Curated OER
Modeling With Circular Functions
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra. Learners are...
Curated OER
Circular Trigonometric Functions
In this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...
Curated OER
Math Handbook: Trigonometry
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas.
Illustrative Mathematics
Velocity vs. Distance
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
Curated OER
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...
Curated OER
Organic Chemistry 231, Martin Larter, Exam 1
If you need a straightforward and comprehensive organic chemistry exam, check this one out. Chemistry pupils identify functional groups in molecule diagrams, draw a Lewis structure, fill in a table about molecular shape, predict boiling...
Curated OER
Chemistry 116 Exam 1, Spring 2009
This five-page exam was designed for a biochemistry and organic chemistry course. It covers the molecular geometry and properties of organic comounds. Test takers identify compounds, functional groups, and isomers. They draw Lewis...
Mt. San Antonio Collage
Graphing Trigonometric Functions
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions.
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
K12 Reader
Order of Adjectives: Circle the Correct One
Which comes first in an adjective phrase: a word denoting a noun's quality, or a word describing a noun's function? If your elementary grammarians don't know the answer, have them review ten pairs of adjective phrases and circle the one...
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Penn Museum
Penn Museum: China Gallery
Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive worksheet set, your young historians will then learn about...
Curated OER
Periodic Functions
In this calculus worksheet, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
Curated OER
MOTION IN A CIRCLE
Students explore uniform circular motion, and the relation of its frequency of N revolutions/sec with the peripheral velocity v and with the rotation period T, and the "centripetal acceleration" of an object.
Curated OER
Trigonometric Functions
In this trigonometric functions worksheet, students solve and complete 35 various type of problems. First, they find the values for all six trig functions that pass through the given points. Then, students prove different identities as...
Virginia Department of Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency, and...
Virginia Department of Education
May I Have Fries with That?
Not all pie graphs are about pies. The class conducts a survey on favorite fast food categories in a lesson on data representation. Pupils use the results to create a circle graph.
CCSS Math Activities
Out of the Swimming Pool
Out of the swimming pool and into the math classroom! Young mathematicians analyze two linear functions representing the number of liters of water in a pool as it drains over time. They must evaluate functions, interpret function...
Point Pleasant Beach School District
Parabola Project
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
CK-12 Foundation
Vertical Line Test: Exploration
What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.