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Assessment
Illustrative Mathematics

Foxes and Rabbits 2

For Students 9th - 12th Standards
The fox population chases the rabbit population. Groups model the populations of foxes and rabbits with two trigonometric functions. Individuals graph both trigonometric models on the same graph, and then teams determine an explanation...
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PPT
Curated OER

Chemistry of Carbon: Building Blocks of Life

For Teachers 9th - 11th
After giving basic details about the properties of Carbon, some of the common functional groups and molecules are featured. There are some details about specific functions and impact on the human body. The diagrams are helpful and could...
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Lesson Plan
EngageNY

Comparing Linear and Exponential Models Again

For Students 9th - 10th Standards
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
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Lesson Plan
Kenan Fellows

Man vs. Beast: Approximating Derivatives using Human and Animal Movement

For Teachers 11th - Higher Ed
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
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Activity
Houston Area Calculus Teachers

Polynomial Graphing

For Students 11th - Higher Ed Standards
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
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Assessment
Illustrative Mathematics

Foxes and Rabbits 3

For Students 9th - 12th Standards
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions...
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Interactive
Shodor Education Foundation

Graph Sketcher

For Students 9th - 12th Standards
Sketch graphs with the Graph Sketcher. Scholars graph functions on a coordinate plane. An interactive makes it as easy as inputting the function and clicking a button.
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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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Worksheet
Curated OER

Piecewise Linear Functions and Excel

For Students Higher Ed
In this linear function worksheet, students use Excel worksheets to solve piecewise linear functions. They plot functions and produce piecewise linear functions. This six-page worksheet contains detailed instructions on how to use...
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Lesson Plan
Curated OER

Functions & Algebra

For Teachers 8th - 10th
Students examine linear equations. For this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
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Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 7th - 9th
Learners examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
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Worksheet
Curated OER

Quadratic Functions

For Students 10th - 11th
In this algebra worksheet, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
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Lesson Plan
Curated OER

Functional Snap

For Teachers 5th - 9th
Students participate in a matching game to recycle functional exponents and then turn around and use those exponents to write and act out a short role play. They copy and cut out the cards on the worksheet and then begin the game.
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Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 2)

For Students 9th - 10th Standards
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped object,...
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Worksheet
Using English

Emailing Functions Correction and Brainstorming

For Students 7th - Higher Ed
How do you address a large group of people? How would give someone bad news? How would you share happy news with a friend? Help your intermediate English language classes form these sentiments by providing them with this practice...
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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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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,...
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Worksheet
2
2
Flipped Math

Unit 10 Review: Graphing Sine and Cosine

For Students 9th - 12th Standards
Go up and down with a review. Learners review finding the amplitude, midline, period, and frequency of sinusoidal functions and use that information to draw graphs. Pupils arrive at equations for function from graphs. They finish up the...
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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. 
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Lesson Plan
1
1
Teach Engineering

Can You Resist This?

For Teachers 7th - 9th Standards
Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear functions with...
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Lesson Plan
Illustrative Mathematics

Riding by the Library

For Teachers 7th - 9th Standards
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
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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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Lesson Plan
Illustrative Mathematics

Velocity vs. Distance

For Teachers 7th - 9th Standards
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
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PPT
Curated OER

Fast Talker - Ch 2 project

For Teachers 8th - 9th
Tongue Twisters?!  Create scatter plot graphs based on timing fellow classmates saying tongue twisters.  Then investigate, display, and analyze the relationships based on functions.  Wrap up this activity by making a poster or other...

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