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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...
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Circles Terminology Multiple Choice
In this circles worksheet, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
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Tangents Multiple Choice
In this circles worksheet, students solve 10 multiple choice problems. Students use a diagram of a circle with tangent lines and segment bisectors to answer each question. Students find unknown segment lengths using the given information.
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Introduction to Tangent Lines using the TI-Nspire
Students make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
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Interesting Properties of Cubic Functions to Discover Graphically or Numerically
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. They...
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Implicit Differentiation
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
Texas Instruments
Exploring Tangents
Explore the concept of tangent lines. In this tangent line lesson, learners graph a circle and two lines on their graphing calculator using Cabri Jr. Students construct the lines so that they both intersect at a given point and are both...
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Inverse Functions
In this inverse functions instructional activity, students solve and complete 3 sets of different problems. First, they find the expression and simplify. Then, students find the value of a given variable when it is the inverse in the...
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Circles
In this circles worksheet, 10th graders solve and complete 13 various types of problems. First, they solve each set of triangles for the given variable. Then, students name a radius, a diameter, a tangent, a secant, a point of tangency,...
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Analysis Review Sheet
In this analysis review worksheet, students solve 3 complex inequalities, graph 2 absolute value inequalities, and write the equations for altitudes and tangent lines for 4 problems.
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Twenty Multiple Choice and Free Response Derivative Problems
In this derivative worksheet, students 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.
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Tangent Properties
Students explore properties of tangent lines. In this properties of tangent lines lesson plan, students discuss the perpendicular relationship between a tangent line on a circle and the circle's radius. Students use that relationship...
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Parametric Equations
In this calculus and analytic geometry worksheet, students explore parametric equations, tangent lines and the loop of curves in six equations.
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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...
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Higher Order Taylor Polynomials
In this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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Challenge Discussion Sheet 3
In this function worksheet, students prove given limits, solve differentiate functions, identify points on a graph with tangent lines passing through given points, determine the radius of a largest sphere that can fit inside of a pyramid...
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Math 155 - Worksheet 5. Derivative
In 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...