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Lesson Plan
National Council of Teachers of Mathematics

National Debt and Wars

For Teachers 9th - 12th Standards
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
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Assessment
Mathematics Assessment Project

Printing Tickets

For Students 8th - 10th Standards
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
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Assessment
Concord Consortium

Bill the Ball Bearing Man

For Students 10th - 12th Standards
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
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Lesson Plan
Curated OER

Laundromat Skills

For Teachers 9th - Higher Ed
The worst part of the week is trying to scrounge quarters for the laundromat. Make the task of cleaning laundry an easy one for your high-functioning special needs learners. You take a trip to a local laundromat to practice using coin...
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PPT
Curated OER

Egyptian Counting

For Teachers 5th - 8th
Ancient Egyptian's had a fantastic number system and your class gets to use it to practice basic math skills! They are presented with several examples of Egyptian numbers which they use to complete several addition and subtraction...
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Worksheet
Lane Community College

Review Sheets: College Algebra

For Students 9th - 12th
A jam-packed worksheet has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for everyone. Each topic...
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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 activity 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...
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Interactive
CK-12 Foundation

Vertical Translations

For Students 10th - 12th Standards
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how to...
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Assessment
EngageNY

End-of-Module 3 Assessment Task

For Teachers 11th - 12th Standards
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
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Activity
Houston Area Calculus Teachers

Cubic Polynomial

For Students 11th - Higher Ed
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

For Students 10th - 12th Standards
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin to...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Sine

For Students 10th - 12th Standards
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...
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Activity
101 Questions

Penny Circle

For Teachers 7th - 12th Standards
Watch as your classes buy into a rich lesson full of information. A video opener challenges individuals to determine the number of pennies that fit in a circle with a 22-inch diameter. Using lesson materials, scholars collect data and...
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Interactive
CK-12 Foundation

Absolute Versus Local Extrema

For Students 11th - Higher Ed
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of inflection. 
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Interactive
CK-12 Foundation

Basic Trigonometric Limits: Evaluating Limits of tan(x)

For Students 11th - Higher Ed
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
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Assessment
Concord Consortium

Systematic Solution I

For Students 10th - 12th Standards
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
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Workbook
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1
University of Utah

Representations of a Line

For Students 8th Standards
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of parallel and...
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Lesson Plan
Curated OER

Rising Gas Prices – Compounding and Inflation

For Teachers 9th - 12th Standards
Financial literacy skills and exponential models are connected by the compound interest formula in this task centered on inflation calculations. Collaborative learners get experience collecting data from the given websites and exploring...
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Assessment
1
1
Mathematics Assessment Project

Arithmetic with Polynomials and Rational Expressions

For Students 9th - 12th Standards
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have pupils reason abstractly...
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Interactive
CK-12 Foundation

Prices Involving Discounts: Save Money with Coupons!

For Students 6th - 8th Standards
Nine questions make up an interactive that challenges scholars to identify new prices after discounts. Question types include fill in the blank and multiple choice. A fully-functional tool assists participants in solving word problems....
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Lesson Plan
Curated OER

Functions and Graphing

For Teachers 5th - 7th
Graphing functions in a real world application makes math come to life. Learners graph points on a coordinate plane and identify various points on a graph by working through a set of real world problems. This is a perfect review exercise.
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Lesson Plan
Mathalicious

Out of Left Field

For Teachers 9th - 12th Standards
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
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Activity
Curated OER

Population and Food Supply

For Teachers 8th - 12th Standards
What does it mean for something to grow exponentially, and how does that compare to linear growth? This activity tries to help learners gain an understanding of these concepts while modeling real-world problems. Linear and exponential...

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