Curated OER
Kepler's 3rd Law
Students derive the velocity in a circular orbit of any radius. They derive the Earth escape velocity and prove Kepler's 3rd law for circular orbits # A simple formula for the orbital period in a circular Earth orbit of given radius.
Curated OER
Challenge Discussion Sheet 10: Limits
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
Curated OER
Calculus: Graphical, Numerical, Algebraic
Students explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
Pennsylvania Department of Education
Alike and Different
Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson plan, students make observations regarding properties of objects. Students classify object and build ideas about variables....
Curated OER
Algebra II: Crickets-Nature's Thermometer
Young scholars translate functional relationships into equations to answer questions. Students answer questions using different representations of the relationships: function rules, graphs of the function, tables of values, and equations...
Curated OER
Graphing Review
Pupils review the principles of graphing linear functions. They discuss plotting points on a coordinate plane, solving using a table, and then graphing. Students solve problems and determine the slope of the line, y-intercept and if...
Curated OER
Kepler's Third Law
Students use Kepler's third law to derive the velocity in a circular orbit of any radius, and identify the Earth escape velocity.
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
Curated OER
Natural Logarithms
In this Algebra II worksheet, 11th graders solve equations involving natural logarithms. The two page worksheet contains explanation, worked examples, and four practice problems. Answers are not included.
Curated OER
Identities and Trigonometric Values
Students solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
Curated OER
An Introduction to the Natural Logarithm (ln)
Young scholars explore the dose response principle, an introduction to what the "natural log" (ln) is and how it behaves. They create and analyze a dose response graph.
Curated OER
Solving Linear Equations
Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
Curated OER
Activity One Teacher Page: Vehicles In Motion
Students identify variables that affect the system, and specify which variables are independent and which are dependent.
Curated OER
Can Photosynthesis Occur at Saturn?
Students identify the different requirements for photosynthesis to take place. For this space science lesson, students simulate conditions in Saturn to investigate if photosynthesis is possible there. They use data and observations...
Curated OER
Visualizing Integers
Students create visuals on the TI Calculator to solve problems. In this algebra lesson, students perform basic operations with integers. They add, subtract, multiply and divide.
Curated OER
Pyrotechnics
Young scholars discuss pyrotechnics and what they have noticed about their height and speed. They think about the path which fireworks follow which is a parabola. They follow multiplication patterns to determine the Zero Product Property...
Curated OER
Power, Work and the Waterwheel
Students use a two-liter bottle, dowel rod and index cards to design and construct a water wheel. They then calculate the power created and measure the work done by the water wheel in Watts and Joules.
CK-12 Foundation
Ck 12: Inverse of Functions Through Algebraic Manipulation
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the inverse of functions through algebraic manipulation.
Concord Consortium
Concord Consortium: Inverses of Functions
Learn how to graph the inverse of a series of discrete and continuous. Also learn how to determine whether the inverse of a function is also a function.
CK-12 Foundation
Ck 12: Trigonometry: Inverses of Trigonometric Functions
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the domain and range of inverse trigonometric functions by utilizing the reflection principle.
Purple Math
Purplemath: Composition of Functions: Composing With Sets of Points
An in-depth lesson that explains the notation and terminology of function composition, and demonstrates how to use composition. Successive pages look at composing functions at points, composing functions with functions, word problems...
Analyze Math
Analyze Math: Inverse Trigonometric Functions
The mathematics tutorial examines inverse trigonometric functions. The tutorial consists of explorations and examples. The interactive applet allows students to investigate domain, range, and graphs of inverse trigonometric functions.
![Nyu: Inverse Trigonometric Functions and Their Graphs [Pdf] Website](https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png "Nyu: Inverse Trigonometric Functions and Their Graphs [Pdf] Website")
New York University
Nyu: Inverse Trigonometric Functions and Their Graphs [Pdf]
Graphs of inverse trigonometric functions are shared and discussed. Definitions and examples are included.