Lesson Plan
Curated OER

The Box Problem

For Teachers 8th - 10th
Students create graphic, algebraic and verbal ideas of functions. In this algebra lesson, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
Worksheet
Curated OER

Complex Analysis: Theorems Following Cauchy's Integral Formulas

For Students Higher Ed
For this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
Worksheet
Curated OER

Lesson 19: Rational Functions and Long Division

For Students 10th - 12th
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page activity contains...
Worksheet
Curated OER

Math Honors 2: Semester 1 Review

For Students 10th - 12th
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
Lesson Plan
Curated OER

Maximize It!

For Teachers 4th - 6th
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Lesson Plan
Alabama Learning Exchange

As If Numbers Weren't Complex Enough Already!

For Teachers 9th - 12th Standards
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
Lesson Plan
Curated OER

Exploring Vertical Asymptotes

For Teachers 9th - 12th Standards
Scholars identify the domain of a rational function in this precalculus instructional activity. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it...
Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Worksheet
Curated OER

Complex Roots Made Visible

For Students 11th
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.
Lesson Plan
Curated OER

The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
Worksheet
Curated OER

Reducing Fractions to Lowest Terms

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students reduce algebraic fractions to lowest terms.  The one page worksheet contains a combination of eleven multiple choice and free response problems.  Answers are provided. 
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 11th
Students factor trinomials using algebra tiles and blocks. In this algebra lesson, students complete a trinomials station activity. They work backwords to find their answers and discuss their steps in a group.
Lesson Plan
Curated OER

Around We Go

For Teachers 4th
Fourth graders investigate a range of circles, each with a different radius, diameter and circumference and assemble this information in their search for relationships.The measurement of circles and the relationships to be found within...
Worksheet
Curated OER

Worksheet 14

For Students 11th - Higher Ed
For this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
Lesson Plan
Curated OER

Using CAS and algebra tiles with Expanding and factoring trinomials

For Teachers 9th
Ninth graders investigate multiplication of binomials and factoring of trinomials.  In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
Lesson Plan
Curated OER

Conjectures and Conclusions

For Teachers 9th - 10th
Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
Lesson Plan
Pennsylvania Department of Education

Extending Pattern Understandings

For Teachers Pre-K - 2nd
Students use shapes and manipulatives to demonstrate patterns. In this patterns lesson plan, students also break up patterns to identify a pattern unit.
Worksheet
Curated OER

Summer 1999, MA 123: Cumulative Review

For Students 9th - 12th
In this math worksheet, students work to complete the review for a final part of an Algebra II class. The sheet has review problems.
Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
In this math instructional activity, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Worksheet
Curated OER

Worksheet 23 - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, learners examine the measurements of a Pizza Hut box. Then they draw out the box and answer questions about its volume.
Lesson Plan
Curated OER

Functions

For Teachers 7th - 10th
Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
Worksheet
Curated OER

Worksheet 18 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
Worksheet
Curated OER

Multivariable Calculus: Application of Partial Derivatives

For Students Higher Ed
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...

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