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Interactive
Shodor Education Foundation

Vertical Line Test

For Students 9th - 12th Standards
Connect the points to create a function. Using points given by the applet, pupils try to connect them to create a line that would pass the vertical line test. The resource keeps track of the number of sets the learner is able to identify...
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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
Mathematics Assessment Project

Representing Functions of Everyday Situations

For Teachers 10th - 12th Standards
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
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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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Lesson Plan
Georgetown University

Cup-Activity: Writing Equations From Data

For Teachers 9th - 12th Standards
Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...
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Interactive
CK-12 Foundation

Functions that Describe Situations: Manny's Mang-o-gurt

For Students 6th - 8th Standards
How much does it cost to add more mangos? An interactive allows users to see how the price of frozen yogurt changes based on the number of scoops and the number of slices of mango. Learners then answer a set of challenge questions about...
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Unit Plan
Mathematics Vision Project

Features of Functions

For Teachers 9th - 10th Standards
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
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Interactive
CK-12 Foundation

Quadratic Functions and Equations

For Students 9th - 12th Standards
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
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Lesson Plan
1
1
Teach Engineering

Biomimicry and Sustainable Design - Nature is an Engineering Marvel

For Teachers 9th - 12th Standards
Discover how copying nature can be beneficial to humans. Scholars read articles about examples of biomimicry and its potential applications. Along the way, they learn about Nature's Nine Laws and how they relate to biomimicry. This is...
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Activity
Noyce Foundation

Fractured Numbers

For Students K - 12th Standards
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
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Activity
PBL Pathways

Doctors and Nurses

For Students 11th - Higher Ed Standards
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
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Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
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Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
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Lesson Plan
Virginia Department of Education

Functions 1

For Teachers 8th - 10th Standards
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
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Lesson Plan
1
1
Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
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Lesson Plan
02 x 02 Worksheets

Inverse Variation

For Teachers 8th - 10th Standards
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
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Lesson Plan
Virginia Department of Education

Functions 2

For Teachers 8th - 10th Standards
Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...
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Lesson Plan
Virginia Department of Education

Square Patios

For Students 8th - 10th Standards
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
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Activity
Point Pleasant Beach School District

Parabola Project

For Teachers 9th - 12th Standards
Class members select a picture that contains a parabola and construct a drawing of it using function graphs in the quadratic project. Individuals restrict the domains of the functions to create a more accurate drawing. They then submit a...
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Assessment
Illustrative Mathematics

As the Wheel Turns

For Students 9th - 12th Standards
Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...
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Assessment
1
1
Balanced Assessment

Postcards from the Falls

For Students 9th - 12th Standards
Pupils use graphs to analyze two pricing schemes for postcards. After determining which is the best deal, individuals determine what is wrong with the other pricing structures and explain their thinking.
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Assessment
Illustrative Mathematics

Modeling London's Population

For Students 9th - 12th Standards
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
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Assessment
1
1
Balanced Assessment

A Run for Two

For Students 11th - 12th Standards
Develop a graph to represent the distance between two cars. The assessment task presents a scenario in which two cars are traveling at constant speeds with one faster than the other. Pupils develop graphical representations to show the...
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Assessment
1
1
Balanced Assessment

Para-Ball-A

For Students 11th - 12th Standards
Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or different...