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Worksheet
Curated OER

Graphs

For Students 9th - 11th
In this graphs worksheet, students solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
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AP Test Prep9:56
1
1
Flipped Math

Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema

For Students 10th - 12th
Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC - Intermediate Value Theorem (IVT)

For Students 10th - 12th
Acquire expert-level knowledge in the Intermediate Value Theorem. Viewers of an informative video learn about the Intermediate Value Theorem. After learning the definition, they consider several examples where they must apply the theorem...
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AP Test Prep11:45
1
1
Flipped Math

Calculus AB/BC - Confirming Continuity Over an Interval

For Students 10th - 12th
Confirm one's expertise with confirming continuity over an interval. Pupils first review how to determine the domain of a function taking denominators, roots, and logarithms into account. They then connect this concept to continuity in...
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Performance
Radford University

Skate Ramp

For Teachers 9th - 12th Standards
Going up and down makes a more exciting ride. Pupils recall what they know about continuity and limits of functions. Working in groups, classmates design a skateboard ramp that meets a given set of criteria, using at least three...
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Lesson Plan
2
2
California Department of Education

Consonance and Dissonance: Creating Intervals for Emotions (CTE)

For Teachers 9th - 12th
How are music and emotion related? Using lesson plan two of four from the Changing One's Tune: A Music Therapy STEM Integrated Project Series, scholars explore the connection between the two topics. They learn to recognize different...
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AP Test Prep
College Board

AP® Psychology: Teaching Statistics and Research Methodology

For Teachers 9th - 12th Standards
Psychologists use statistics? Scholars investigate the research behind the methodology of statistical analysis. Using hands-on practice, case-studies, and scatterplots, they complete various tasks to understand the very roots of high...
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Assessment
Concord Consortium

Looking through a Window

For Students 7th - 12th Standards
Here's a window into graphing calculators. Scholars use a graphing calculator to plot a quadratic function. They then adjust the window to make the graph look like that of a linear function and must recreate given graphs.
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Assessment
Concord Consortium

Boards II

For Students 7th - 9th Standards
Build spreadsheet skills while investigating decimal multiplication. An open-ended task asks learners to edit a spreadsheet to create a multiplication table for decimals. Provided with a specific interval, pupils create formulas that...
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Assessment
Concord Consortium

Boards I

For Students 7th - 9th Standards
Learners create patterns in a table to mimic the function of an electronic spreadsheet. The result is a table that creates an addition table for decimals in intervals of one-tenth. While creating the pattern, pupils must thoroughly...
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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 inflection. 
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Interactive
CK-12 Foundation

Intermediate Value Theorem, Existence of Solutions: Function Exploration

For Students 11th - Higher Ed
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...
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Interactive
CK-12 Foundation

Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions

For Students 11th - Higher Ed
Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...
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Interactive
CK-12 Foundation

Frequency Polygons: Constructing a Frequency Polygon

For Students 9th - 12th Standards
Connect the dots on frequency. Given a distribution table of scores on an assessment, learners create a frequency polygon by moving points on a graph to the correct frequency. The pupils use the display to answer questions about the...
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Lesson Plan
EngageNY

Creating a Histogram

For Teachers 6th Standards
Display data over a larger interval. The fourth segment in a 22-part unit introduces histograms and plotting data within intervals to the class. Pupils create frequency tables with predefined intervals to build histograms. They describe...
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Assessment8:40
Mathed Up!

Frequency Polygons

For Students 7th - 10th
Frequency polygons are a different way to represent frequencies over intervals. Pupils take frequencies for intervals of data from a frequency table and plot them as a frequency polygon. Budding mathematicians find information about the...
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Lesson Plan
Statistics Education Web

It Creeps. It Crawls. Watch Out For The Blob!

For Students 9th - 12th Standards
How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...
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Lesson Plan
Statistics Education Web

Walk the Line

For Students 9th - 12th Standards
How confident are you? Explore the meaning of a confidence interval using class collected data. Learners analyze data and follow the steps to determine a 95 percent confidence interval. They then interpret the meaning of the confidence...
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Lesson Plan
Statistics Education Web

What Percent of the Continental US is Within One Mile of a Road?

For Students 9th - 12th Standards
There are places in the US where a road cannot be found for miles! The lesson asks learners to use random longitude and latitude coordinates within the US to collect data. They then determine the sample proportion and confidence interval...
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Lesson Plan
Statistics Education Web

Did I Trap the Median?

For Students 9th - 12th Standards
One of the key questions in statistics is whether the results are good enough. Use an activity to help pupils understand the importance of sample size and the effect it has on variability. Groups collect their own sample data and compare...
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Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
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Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.