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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
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Balanced Assessment

All Aboard

For Students 9th - 12th Standards
Pupils must graph the location of a train using the time given a timetable. They analyze the different legs of the trip, graph the return trip, and compare the two graphs. The lesson ends with a discussion of similarities and...
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Worksheet
Curated OER

Graphing Quadratic Functions in Vertex or Intercept Form

For Students 7th - 10th Standards
Here is a study guide that breaks graphing quadratic functions into three simple steps. Quadratic functions in vertex and intercept form are included. Use during a lesson or afterward for skills practice. Note: Make sure your class has...
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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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Lesson Plan
Curated OER

Transformations and Exponential Functions

For Teachers 10th
Tenth graders study graphing exponential functions. In this transformations activity, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the...
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Lesson Plan
Curated OER

Graphing Quadratic Functions

For Teachers 9th - 12th Standards
Pupils explore quadratic functions in this algebra lesson. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson.
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Lesson Plan
Curated OER

Transformations of Functions 2

For Teachers 9th - 12th Standards
Solving problems on the TI graphing calculator can be quite easy. Students observe the properties of transformation of functions and create a formula for the transformation.
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Worksheet
Curated OER

Dr. Nestler's Math 2 Pre-calculus

For Students 7th - 11th
Students are given a description of a scenario of Professor Fink searching for a group of children. When he finds them, he states that he can express their location as a function of his hand. Students analyze the scenario and determine...
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Lesson Plan
Curated OER

Zeros of a Quadratic Function

For Teachers 9th - 12th Standards
Factor quadratic equations by teaching your students how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
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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 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...
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Worksheet
Curated OER

Piecewise Linear Functions: Extending Stories to Graphs

For Students 8th - 10th
Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...
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Assessment
Illustrative Mathematics

Bank Account Balance

For Students 9th - 12th Standards
Represent the ups and downs of a bank account. The two-part task points out that some types of graphs may better show discrete functions than others. Pupils analyze a graph on how well it represents the situation. They develop their own...
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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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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...
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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...
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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...
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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

Linear, Quadratic, and Cubic Models: The Box Model

For Students 10th - 12th Standards
Models make math manageable. Individuals investigate a cubic function that models the volume of a cube through the interactive.
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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

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...
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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...
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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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