Curated OER
The Chain Rule and Applications
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
Curated OER
Precalculus Exam
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
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The Inscribed Angle Alternate – A Tangent Angle
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...
Curated OER
Why Plus C is important.
In this calculus worksheet, students solve proofs by taking the derivative and integrating functions. There are 8 problems about integration and an answer key.
Curated OER
Complex Analysis: Theorems Following Cauchy's Integral Formulas
In this integral formula, students explore how theorems are derived. They write proofs supporting Cauchy's Inequality, Liouville's Theorem, the Fundamental Theorem of Algebra, Gauss' Mean Value Theorem and Cauchy's Residue Theorem. ...
Curated OER
Complex Analysis: Cauchy's Integral Formula and Integral Examples
In this integral formula activity, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
Curated OER
The Product and Quotient Rules
For this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.
Curated OER
The Product and Quotient Rules
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
Curated OER
Worksheet 36
In this math learning exercise, students apply the rules of Calculus to determine if each statement is true or false. If it is false they rewrite the mathematical proof to make it true.
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Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and...
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Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
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Three-Dimensional Space
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and other...
EngageNY
More About Similar Triangles
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Curated OER
Two Investigations of Cubic Functions
Through learning about cubic functions, learners graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. Learners...
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An Essay Concerning Human Understanding - Essay Questions
For this literature worksheet, students respond to 29 short answer and essay questions about Locke's "An Essay Concerning Human Understanding." Students may also link to an online interactive quiz on the novel at the bottom of the page.
Curated OER
Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the topic,...
Curated OER
Worksheet 1
In this math worksheet, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
Curated OER
Complex Analysis: Harmonic Functions
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.