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Worksheet
Mt. San Antonio Collage

Test 1: Functions and Their Graphs

For Students 9th - 12th Standards
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
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Unit Plan
Radford University

Transformational Graphing in the Real World: Building Bridges

For Teachers 9th - 12th Standards
No suspension here, the resource is good to go. Using graphing calculators, scholars explore how transformations affect the graphs of quadratic functions. They consider how the changes relate to the context of suspension bridges.
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Lesson Plan
EngageNY

Exploring the Symmetry in Graphs of Quadratic Functions

For Students 9th - 10th Standards
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The instructional activity begins with the vocabulary of a quadratic...
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Lesson Plan
West Contra Costa Unified School District

Connecting Graphing and Solving Absolute Value Equations and Functions

For Teachers 10th - 12th Standards
Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...
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Interactive
PHET

Function Builder

For Students 8th - 12th Standards
Build confidence about functions with the function builder. Pupils learn about functions and transformations using an interactive. A function machine transforms pictures, numbers, and equations based on a function rule. A mystery...
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Interactive
Shodor Education Foundation

Polar Coordinates

For Students 11th - Higher Ed Standards
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
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Interactive
Shodor Education Foundation

Possible or Not?

For Students 9th - 12th Standards
What does the graph mean? Pupils view 10 graphs and determine whether they are possible based on their contexts. The contexts are distance versus time and profit versus time.
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Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th - 12th
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
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Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Lesson Plan
Curated OER

Bacterial Transformation - Biology Teaching Thesis

For Teachers 9th - 12th
High schoolers explain the following processes: bacteria transformation, genetic recombination, and antibacterial breakdown of bacteria. They follow lab protocol and use the scientific method: to make predications, and to explain an...
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Lesson Plan
Curated OER

Exploring Quadratic Data : Transformation Graphing

For Teachers 9th - 12th Standards
High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...
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Lesson Plan
Curated OER

Bacterial Transformation: Laboratory Experiment

For Teachers 9th - 10th
Students participate in a group lab in which they complete the process of bacterial transformation. If lab procedures are followed correctly, Students see their results in a few days...bacteria glowing green.
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Assessment
Inside Mathematics

Aaron's Designs

For Teachers 8th Standards
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
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Lesson Plan
EngageNY

Representing, Naming, and Evaluating Functions (Part 1)

For Teachers 9th - 10th Standards
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 
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Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
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Lesson Plan
Curated OER

Transformations: Dilating Functions

For Teachers 9th - 11th
Students dilate functions using transformation. For this algebra lesson, students complete vertical dilation, stretch and shrink. They perform reflection across the x and y axis.
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Lesson Plan
Virginia Department of Education

Transformation Investigation

For Teachers 8th - 10th Standards
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
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Unit Plan
Virginia Tech

Unit Plan: Exponential and Logarithmic Functions

For Teachers 10th - 12th Standards
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
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Lesson Plan
Virginia Department of Education

Transformationally Speaking

For Teachers 8th - 10th Standards
Young mathematicians explore transformations of graphs by graphing sets of functions on the same pair of axes. They use their graphs to determine the effect that the values of a and b in y = ax + b have on the graph of y = x.
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Lesson Plan
EngageNY

Transformations of the Graphs of Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Transform your lesson plan on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they...
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Assessment
Illustrative Mathematics

Transforming the Graph of a Function

For Students 9th - 12th Standards
Function notation is like a code waiting to be cracked. Learners take the graph of an unknown equation and manipulate it based on three different transformation changes of the function equation. The final step is to look at three points...
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Worksheet
2
2
Flipped Math

Unit 5 Review: Systems of Equations

For Students 9th - 12th Standards
Activate transformers along with algebra systems. Pupils use 10 problems to review transformations of functions to solve a variety of systems of equations. Individuals identify the types of transformations from an equation along with...
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Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...