EngageNY
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...
Curated OER
Worksheet 7: Slope and Tangents
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
EngageNY
Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
EngageNY
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...
EngageNY
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...
Curated OER
Worksheet 2: Graphs, Functions and Derivatives
In this math worksheet, learners answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
EngageNY
Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
West Contra Costa Unified School District
Derivative Theorems
Put all of the derivative rules into one basket. The instructional activity stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a...
Curated OER
Math 155 - Worksheet 5. Derivative
For this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...
Curated OER
Twenty Multiple Choice and Free Response Derivative Problems
In this derivative worksheet, learners solve ten multiple choice and ten free response problems. These problems include: derivatives of trig functions, tangent lines, parametric equations, and instantaneous rates of change.
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Flipped Math
Calculus AB/BC Unit 3 Review: Differentiation
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
Curated OER
Derivatives
In this derivatives worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.
Curated OER
Derivatives of Inverse Functions
In this derivatives activity, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This activity includes five short...
Curated OER
Mini Examination #2 - Limits and Derivatives
In this limits and derivatives activity, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.
Curated OER
Derivatives
For this calculus worksheet, students take the derivative of functions and identify the instantaneous rata of change. There are 20 questions.
Curated OER
Senior Analysis: Derivatives by Definition
In this derivative worksheet, students find the derivative of given functions. They identify the equation of a line tangent to a specified function. This three-page worksheet contains 22 multi-step problems.
Curated OER
Calculus 30 - Typical Exam Questions
In this limits and functions worksheet, students solve 30 short answer questions about calculus Students find limits, domain, range, tangent lines, derivatives, and composition functions.
Curated OER
Worksheet 6: Derivative & Slope
In this derivative and slope worksheet, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page worksheet contains seven multi-step problems.
Curated OER
A.P. Calculus - First Semester Examination
In this calculus exam worksheet, students solve 40 multiple choice and short answer problems. Students find derivatives, second derivatives, normal lines, slopes, etc.
Curated OER
Math 155 - Worksheet 7. Function
In this function worksheet, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page worksheet contains six problems.
Curated OER
Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...