Lesson Plan
EngageNY

Restricting the Domain

For Teachers 11th - 12th Standards
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
Lesson Plan
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West Contra Costa Unified School District

Matching Quadratic Functions

For Teachers 8th - 10th Standards
Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
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...
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...
Assessment
1
1
Illustrative Mathematics

Which Function?

For Students 9th - 12th Standards
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations. 
Interactive
CK-12 Foundation

Graphs of Absolute Value Equations: Absolute Value Distance

For Students 9th - 12th
The sole purpose of this interactive is to graph a function representing the distance of a car from a shoe store. Scholars use an interactive to graph such an absolute value function. They then answer a set of challenge questions...
Interactive
CK-12 Foundation

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
Unit Plan
Mathematics Vision Project

Module 6: Modeling Periodic Behavior

For Students 10th - 12th Standards
Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...
AP Test Prep13:27
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Flipped Math

Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes

For Students 10th - 12th
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
Lesson Plan
K20 LEARN

Graphing: The Ups and Downs

For Teachers 11th - 12th Standards
What do clocks and Ferris wheels have in common? Your class can model their heights using trigonometric functions! Scholars first use the Internet to find data on provided landmarks (famous clocks and Ferris wheels). Plotting this data...
Assessment
Mathematics Assessment Project

Cubic Graph

For Students 9th - 11th Standards
Connect cubic graphs to equations. After connecting solutions of a cubic equation to zeros of its related cubic function, pupils investigate a translation of the cubic function.
Instructional Video10:31
Corbett Maths

Transformations of Graphs

For Students 9th - 12th Standards
Geometric transformations in algebra ... what? Given four transformations, the narrator explains how each affect the graph of the original function. The transformations involve translations and reflections, both horizontally and...
Unit Plan
Radford University

Transformational Graphing in the Real World: Air Traffic Control

For Teachers 9th - 12th Standards
You're cleared to learn about absolute value functions. An interesting lesson has scholars investigate transformations of the graphs of absolute value functions. They look at air traffic control as an application of the concept.
Activity
101 Questions

Blocks

For Students 9th - 12th Standards
Block play can teach children about gravity, physics, and spatial relationships. A hands-on lesson incorporates these concepts with an activity in which learners examine the relationship between levels in a pile. Scholars begin to...
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.
Assessment
Mathematics Assessment Project

Baseball Jerseys

For Teachers 6th - 8th Standards
Batter up! As an assessment task, learners write linear functions to model the cost of baseball jerseys. They then determine which of two companies would charge a cheaper rate to buy baseball jerseys.
Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test C2

For Students 9th - 12th
Scholars apply knowledge learned over their high school math courses in order to determine their college readiness. The 20-page resource emphasizes applied problem solving.
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.
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...
Lesson Plan
Curated OER

Murder in the First Degree - The Death of Mr. Spud

For Teachers 9th - 12th Standards
Secondary learners investigate exponential functions in a real-world scenario. They collect data on the temperature of a cooling baked potato, enter the data into lists, and graph the data using a scatter plot before finding an...
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...
Lesson Plan
Curated OER

Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
Assessment
Mt. San Antonio Collage

Test 2: Rationals, Exponentials, and Logarithms

For Students 9th - 12th Standards
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range. 

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