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Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. For 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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Interactive
CK-12 Foundation

Basic Trigonometric Limits: Evaluating Limits of tan(x)

For Students 11th - Higher Ed
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
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AP Test Prep13:27
1
1
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...
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Worksheet
Curated OER

Discussion Sheet 9: Functions and Limits

For Students Higher Ed
In this function and limits worksheet, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Exponential Functions

For Students 9th
In this exponential functions worksheet, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...
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Lesson Plan
Curated OER

Function Problems

For Teachers 11th - Higher Ed
In this function worksheet, students use given functions to determine the rate at which people enter and exit an amusement park. They compute the number of dollars collected at a specified time and predict when the number of people in...
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Lesson Plan
Curated OER

Worksheet 4: Limits

For Teachers Higher Ed
In this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.
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Lesson Plan
Curated OER

Introduction to Limits

For Teachers 9th - 12th
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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AP Test Prep
College Board

Differentiability of Piecewise Defined Functions

For Teachers 10th - 12th
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
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Lesson Plan
Curated OER

Worksheet - Limits

For Teachers Higher Ed
For this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.
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Lesson Plan
Curated OER

Worksheet 9 - Functions

For Teachers Higher Ed
In this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.
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Worksheet
Curated OER

Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
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Interactive
CK-12 Foundation

Infinite Limit Type: Evaluating Limits of Rational Functions

For Students 11th - Higher Ed Standards
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Evaluate the Limits

For Students 11th - Higher Ed
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
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Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits 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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Worksheet
Curated OER

Past Simple & Past Continuous

For Students 4th - 7th
What is the difference between the simple past tense and the past continuous? Help your pupils master these tenses with the information and six grammar exercises included here.
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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 lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function and...
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Worksheet
Curated OER

Calculus Worksheet: Limits of Functions (1)

For Students 11th - 12th
In this calculus worksheet, students determine the limit of the given functions.  The two page worksheet contains four problems.  Answers are provided. 
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Worksheet
Curated OER

IUPAC Rules for Naming Compounds with Functional Groups

For Students 9th - Higher Ed
In this naming compounds with functional groups worksheet, students read about using the IUPAC rules for naming these compounds and they draw structures for 3 -carbon, 2-carbon and 4-carbon molecules and give the names for each.
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC End of Unit 1 Review: Limits and Continuity

For Students 10th - 12th
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
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AP Test Prep7:55
1
1
Flipped Math

Calculus AB/BC - Infinite Limits and Vertical Asymptotes

For Students 10th - 12th
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
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AP Test Prep11:14
1
1
Flipped Math

Calculus AB/BC - Estimating Limit Values from Tables

For Students 10th - 12th
There's value in using a video to analyze a table of values. Pupils learn how to find the limit of a function from a table of values in the fourth of 18 lessons in Unit 1 - Limits and Continuity. An engaging video gives a tutorial on how...

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