Lesson Plan
Curated OER

You Must Still Think Yourself, CAS Can Only Help

For Teachers 9th - Higher Ed Standards
Have the class learn about and make conjectures about a line intersecting a cubic.  In this making conjectures about a line intersecting a cubic lesson plan, students draw lines that intersect a cubic at three different...
Lesson Plan
Curated OER

Iterating the Function and Complex Numbers

For Teachers 7th - 10th
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
Unit Plan
Radford University

A Change in the Weather

For Students 10th - 12th Standards
Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 1 (module 4)

For Students 9th - 10th Standards
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...
Lesson Plan
Curated OER

The Notorious Four-Color Problem

For Teachers 9th - 12th Standards
Take a walk through time, 1852 to 2005, following the mathematical history, development, and solution of the Four-Color Theorem. Learners take on the role of cartographers to study a United States map that is to be...
Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
Unit Plan
Curated OER

Connecting Algebra and Geometry Through Coordinates

For Teachers 9th - 10th Standards
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson plan introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
Lesson Plan
Curated OER

Mathematices: Pre-Calculus

For Teachers 11th - 12th
Young scholars relate polynomials to real life situations. In this algebra instructional activity, students graph equations through modeling and data collection. They must be comfortable doing word problems.
Lesson Plan
Curated OER

Exploring Functions and Their Derivatives

For Teachers 10th - 12th
Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
Worksheet
Curated OER

Homework Handout for Class 27

For Students Higher Ed
In this calculus learning exercise, students solve five functions. They use the answers to approximate a second function. Students graph the Taylor polynomials and functions. They compare the two Taylor approximations.
Lesson Plan
Curated OER

Introduction To Functions

For Teachers 8th - 10th
Pupils define a functions and solve problems using functions. For this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
Worksheet
Curated OER

Using Fourier Series

For Students Higher Ed
For this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier...
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this differentiability worksheet, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page worksheet contains a...
Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 7th - 11th
Students factor trinomials correctly. For this algebra lesson, students review the rules for factoring trinomials. They factor different polynomials as they relate the same concept and idea to facoring trinomials.
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...
Worksheet
Curated OER

Unit 9 Review

For Students 8th - 10th
Middle and high schoolers solve and complete 15 various types of problems that include evaluating expressions and graphing. First, they use the substitution method to solve pairs of equations for a variable. Then, students write out a...
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...
Worksheet
Curated OER

X-Intercepts

For Students 9th - 10th
In this x-intercepts, students explore the equations of a line, set "y" equal to zero to determine the x-intercept. Explanations and examples are provided. This two-page worksheet contains ten problems.
Activity
PBL Pathways

Cell Phones

For Teachers 10th - Higher Ed Standards
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...

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