Worksheet
Curated OER

The Method of Separation of Variables

For Students 11th - Higher Ed
In this math worksheet, students read the examples of the initial value problems. Then they write all the possible solutions for the differential equation.
Worksheet
Curated OER

Calculus Worksheet: Limits of Functions (2)-Squeeze Theorem

For Students 11th - 12th
In this limits of functions instructional activity, students find the limits of 4 functions. In this limits instructional activity, sstudents are given two functions. They find the limits of multiplying these two functions. Students find...
Organizer
Curated OER

A.P. Calculus Test Chapter 2 Limits and Continuity

For Students 11th - 12th
In this limits and continuity test, learners solve 8 multiple choice questions. They define the words limits and continuity. Students determine the limits of 8 functions. Learners find the value for a constant in one function, and prove...
Worksheet
Curated OER

Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus

For Students 10th - 12th
In this logarithms worksheet, 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...
AP Test Prep
College Board

Extrema

For Teachers 10th - 12th
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
Activity
PBL Pathways

Total Cost to Produce the Turbo Blender

For Students 11th - Higher Ed
Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....
Lesson Plan
Texas Instruments

Drawing a Line Tangent to a Circle

For Teachers 9th - 12th Standards
Explore lines tangent to a circle. In this math lesson plan, students manipulate circles and lines on a TI calculator. They draw a circle  and analyze perpendicular lines intersecting the circle in only one place. This activity...
Lesson Plan
Curated OER

Extreme Values

For Teachers 11th - Higher Ed
Students sketch a picture of what appears on a computer screen. Locate the extreme points on the pictures and label them as maxima or minima. Use the definitions of maxima and minima to explain how you identified the points indicated, if...
Worksheet
Curated OER

Worksheet #2.7 MT-A141 PreCalculus

For Students 11th - 12th
Get ready for Calculus! The class solves equations, graphs a relation defined parametrically, and gives the parametric equation for the inverse relation. They then identify the geometric relationship between two graphs.
Lesson Plan
Curated OER

Worksheet 11 - Fall 95

For Teachers 12th - Higher Ed
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
Lesson Plan
Curated OER

Types of Functions and Composition of Functions

For Teachers 10th - 12th
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the instructional...
Lesson Plan
Curated OER

Transformation of Graphs

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph.  The four page worksheet contains seventy-two problems. ...
Lesson Plan
Curated OER

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Students study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
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...
Worksheet
Curated OER

Circular Trigonometric Functions

For Students 11th - 12th
In this Pre-calculus/Trigonometry learning exercise, students estimate the amplitude, period, and horizontal and vertical translations of a graph and find a rule that models the data. The three page learning exercise contains fourteen...
Activity
Wake Forest University

Authentic Activities for Connecting Mathematics to the Real World

For Students 6th - 12th Standards
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Lesson Plan
Curated OER

Area Under A Curve

For Teachers 9th - 11th
Calculus young scholars use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...
Interactive
Curated OER

Passive Integrator and Differentiator Circuits

For Students 10th - Higher Ed
In this circuits worksheet, students answer 25 questions about passive integrator circuits and passive differentiator circuits given schematics showing voltage. Students use calculus to solve the problems.
Lesson Plan
Curated OER

Investigation the Derivatives of Some Common Functions

For Teachers 9th - 12th Standards
Students investigate the derivative of a function.  In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions.  The lesson promotes the idea of the derivative as a...
Worksheet
Curated OER

Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths learning exercise, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Lesson Plan
Curated OER

River Optimization Problem

For Teachers 8th - 10th
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
Worksheet
Curated OER

The Io Plasma Torus

For Students 11th - 12th
In this plasma torus learning exercise, students solve 5 problems including finding the dimensions of the Io torus, determining the formula for the volume of a torus, finding the actual volume of the Ion torus and finding the amount of...
Worksheet
Curated OER

Functions

For Students 12th - Higher Ed
In this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...

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