EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third activity in the series. Pupils explore linear equations and describe the points of intersection with a given polygon...
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
West Contra Costa Unified School District
Talking About Distance, Rate and Time
Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.
Curated OER
What is an Antiderivative? Slope Fields
Students take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.
Curated OER
Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus instructional activity, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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The Fundamental Theorem
In this calculus worksheet, students solve equations and functions by taking the derivative of each equation. They apply the Fundamental Theorem of Calculus to their problems, as they solve for the limit and identify different graphs....
Curated OER
A Functional Housing Market
Young scholars access the Internet to search for housing prices in Houston, Texas,(the location can be changed to accommodate any location) and compare the prices to the number of square feet found in the living area of a house.
Curated OER
Absolute Maximum and Minimum
Learners calculate the maximum and minimum of each function. For this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
Curated OER
A.P. Calculus Practice Exam AB Version- Section I- Part B
In this A. P. Calculus AB worksheet, students solve seventeen multiple-choice problems with a graphing calculator. This worksheet is designed as a practice test for the A.P. Exam and should be timed.
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, students are provided with questions that are reflective of the content of their exam. Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. The one...
Curated OER
Bouncing Ball Experiment
Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.
Curated OER
Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus
In this logarithms activity, students evaluate and solve equations with logarithms. They derive the formula for a derivative of a given function. Students explain the differences between logarithms. This one-page activity contains 25...
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Applied Fundamental Theorem of Calculus
Students apply the Fundamental Theorem of Calculus. In this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
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The Corner Problem
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
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The Slope of a Curve
Students graph the slopes of a line using the intercepts. For this precalculus lesson, students identify the properties of a curve slope. They find the limit and use a graping calculator to graph their lines.
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The Calculus Whiz Who Owned a Box Company
Learners use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Worksheet 12 - Spring 1996
In this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
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Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization activity, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page activity contains two...
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Euler's Method
Learners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson plan, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
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Numerical Analysis: Dimensional Vectors
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
Curated OER
A.P. Calculus BC Section II, Part A and Part B
In this A.P. Calculus BC instructional activity. students solve six practice problems. A graphing calculator is required on the first three questions and not allowed on the next three. Directions are provided.