Interactive
CK-12 Foundation

Constant, Identity, and Power Rules: Power Rule

For Students 11th - Higher Ed
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...
Lesson Plan
EngageNY

Transforming Rational Functions

For Teachers 11th - 12th Standards
Move all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...
AP Test Prep12:39
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Flipped Math

Calculus AB/BC - The Power Rule

For Students 10th - 12th
There has to be a quicker way. Pupils learn the power rule that allows for a shortcut to take the derivative of terms to a power. Using the newly found rule, scholars find the slope of the tangent line to a function at a given x value....
Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 9th - 12th Standards
Build a solid understanding of logarithmic functions and equations. Five lessons in the module begin by developing the concept of a logarithm. The next lessons address graphing logarithmic functions, logarithmic properties, and solving...
Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 10th - 12th Standards
You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Lesson Plan
EngageNY

The Height and Co-Height Functions of a Ferris Wheel

For Students 10th - 12th Standards
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel. 
Handout
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Shoreline Community College

Properties of Logarithmic Functions

For Students 9th - 12th Standards
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its...
Assessment
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Balanced Assessment

A Loud Noise

For Students 11th - 12th Standards
In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...
Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 2)

For Students 10th - 12th Standards
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
Worksheet
Mathematics Assessment Project

Multiplying Cells

For Students 8th - 10th Standards
Powers of two: it's a matter of doubling. A short summative assessment task asks pupils to determine a process to calculate the number of cells at given time intervals. They use powers of two in order to calculate the number of...
Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 1)

For Students 9th - 10th Standards
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...
Lesson Plan
Science Matters

Richter Scale

For Teachers 6th Standards
The 12th lesson in a series of 20 opens with a demonstration of exponential functions using pasta. This concept is connected to the Richter Scale, which is also an exponential function. Scholars compare the exponential scale that...
Assessment
Concord Consortium

Broken Spreadsheet I

For Students 8th - 11th Standards
There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...
Lesson Plan
Visa

Making it Work Together: Money and Roommates

For Teachers 9th - 12th Standards
Balancing money and first-time roommates can feel like a daunting prospect. Support your class members in understanding how financial agreements between roommates function, as well as the underlying importance of how to communicate about...
Activity
Serendip

Cells as Molecular Factories

For Teachers 9th - 12th
Cells are both made of molecules and make molecules all at the same time! An exploratory lesson provides a means for scholars to research the components of cells made of molecules and also investigate the molecule-producing power of...
Lesson Plan
American Constitution Society

Constitution in the Classroom: The Right to Vote

For Teachers 7th - 12th Standards
The system of checks and balances is integral to the functionality of the United States government. Learn more about the ways the three branches of the government work together—and about the limitations of their power—with an informative...
Handout
Macquarie University

Logarithms and Exponentials

For Students 9th - 12th Standards
Introduce logarithmic functions and their properties with a straightforward lesson plan. It provides an introduction to new material, examples, and practice problems. The variety of problem types keeps learners engaged while...
Lesson Plan
EngageNY

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
Handout
Mt. San Antonio Collage

Exponential Growth and Decay

For Students 9th - 12th Standards
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.  
Assessment
Concord Consortium

Calculator Numbers

For Students 7th - 12th
Know thy calculator. Young mathematicians use their calculators to answer a set of questions. They consider how the number of digits the calculator displays affects the answers to calculations. They then find examples of computations...
Lesson Plan
West Contra Costa Unified School District

Derivative Theorems

For Teachers 11th - Higher Ed
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...