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Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 2)

For Students 11th - Higher Ed
What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...
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Printables
Chapman University

Proof of L’Hospital’s Rule

For Teachers 10th - Higher Ed
Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in simplifying...
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Handout
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Chapman University

Derivative of sin x

For Teachers 10th - 12th Standards
Direct and to the point (the slope at a point that is) describes this one-page proof of the derivative of the sin(x). The definition of a derivative using a limit is the first step in this sequential, algebraic, explanation of how the...
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Lesson Plan
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Illustrative Mathematics

Equal Area Triangles on the Same Base II

For Teachers 9th - 12th Standards
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
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Lesson Plan
Curated OER

Application of Delta-Epsilon Definition of the Limit

For Teachers 12th - Higher Ed
Students create a Hexaflexagon using a formula. For this calculus lesson, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and investigate angles.
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Lesson Plan
Curated OER

Application of Delta-Epsilon Definition of the Limit

For Teachers 9th - 12th
Pupils investigate the concept of a Limit and how it is used in a variety of problematic situations. They fold paper to help illustrate how to form equilateral triangles and explain how all the angles are the same. The lesson includes a...
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eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
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Worksheet
Curated OER

The Product and Quotient Rules

For Students Higher Ed
In this produce and quotient rule learning exercise, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page learning exercise contains...
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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
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula. 
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Lesson Plan
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School Improvement in Maryland

Court Proceedings Civil Cases

For Teachers 9th - 12th
What's the difference between civil and criminal law? How do the court proceedings differ in these two types of trials? How do the standards of proof differ? Why do these differences exist? As part of their examination of the US court...
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Lesson Plan
Science Matters

Earthquake Building/Shaking Contest

For Teachers 6th Standards
Japan is one of only a handful of countries that constructs buildings that are almost earthquake proof. The 13th lesson in the 20-part series challenges scholars to build structures to test against earthquakes. With limited materials and...
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Lesson Plan
Curated OER

What Proof is There to Support Biological evolution?

For Teachers 7th - 9th
Students identify who developed the theory of evolution. The concepts of adaptation and development are discussed. The age of the earth is explored in relationship to the development of various species. The condition of the environment...
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Lesson Plan
Curated OER

Failure-Proof Writing: Assignments for the Student Who Can't/Won't Write

For Teachers 6th - 8th
Students with learning disabilities are introduced to the techniques of proper writing. After completing a warm up, they practice writing about what they saw to determine where they are at in the process. In groups, they complete a set...
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Lesson Plan
Curated OER

Proof It

For Teachers 4th
Fourth graders complete a worksheet. In this spelling lesson, 4th graders complete a timed activity where they identify misspelled words and write their correct spelling.
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Assessment
Inside Mathematics

Rhombuses

For Teachers 9th - 12th Standards
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
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Activity
Noyce Foundation

The Shape of Things

For Students K - 12th Standards
Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...
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Lesson Plan
Curated OER

Epsilon-Delta Window Challenge

For Teachers 9th - 12th Standards
Students graph functions and analyze them. In this calculus lesson, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
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Lesson Plan
Curated OER

Government Lesson Plan: Lesson Plan 9

For Teachers 7th - 10th
Students examine and compare/contrast the steps of criminal and civil cases. They define key vocabulary terms, develop an outline of a criminal and civil trial, and analyze the differences in standards of proof in legal cases.
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Lesson Plan
EngageNY

The Inscribed Angle Alternate – A Tangent Angle

For Teachers 9th - 12th Standards
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
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AP Test Prep
College Board

Why Variances Add - And Why It Matters

For Students 10th - 12th Standards
Why is adding variance important? A lesson outline defines a variance theorem and how it affects the data statistics. The instruction shows scholars the importance of considering the variance of data and why it requires independence.
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Worksheet
Curated OER

A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus learning exercise, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others...
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Lesson Plan
Curated OER

The U.S. Constitution Power Grab Game

For Teachers 10th - 12th
Learners study the powers and limitations of the three branches of the American government. They explain how the system of "checks and balances" protects the individual citizens. They explain how the amendments to the Constitution...
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Worksheet
Curated OER

Mistakes that English Native Speakers Make 2

For Students 12th - Higher Ed
In this ESL worksheet, students proof read 20 sentences to find the mistakes. They label each sentence as to the mistake using the key at the top of the page which includes the misuse of articles, commas, apostrophes, and capital letters.