+
Lesson Plan
Curated OER

Worksheet 28: Parametric Equations

For Teachers 12th - Higher Ed
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
+
PPT
Curated OER

Calculus 10.1 - Parametric Functions

For Teachers 11th - 12th
Here is a high-level, interractive presentation on calculus for your high schoolers. Parametric equations, derivatives, functions, and the Pythagorean Theorem are all part of this fine PowerPoint. Additionally, two interesting...
+
Lesson Plan
Curated OER

Worksheet 14

For Teachers Higher Ed
For this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
+
Worksheet
Yummy Math

Parametric Equations and a Heart

For Students 8th - 12th Standards
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
+
Worksheet
Curated OER

Worksheet #2.7 MT-A141 PreCalculus

For Students 11th - 12th
Get ready for Calculus! The class solves equations, graphs a relation defined parametrically, and gives the parametric equation for the inverse relation. They then identify the geometric relationship between two graphs.
+
Worksheet
Curated OER

Parametric Equations

For Students Higher Ed
In this calculus and analytic geometry learning exercise, students explore parametric equations, tangent lines and the loop of curves in six equations.
+
Lesson Plan
Curated OER

Parametric, Vector, Polar, and 3D Functions

For Teachers 12th
Twelfth graders investigate the capabilities of the TI-89.  In this calculus instructional activity, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories.  Students investigate the...
+
Lesson Plan
Curated OER

Parametrics 1

For Teachers Higher Ed
In this parametric worksheet, students sketch given inequalities and use trigonometry functions to eliminate the parameters. They write equations of a line under given parameters. This four-page worksheet contains 11 multi-step problems.
+
Worksheet
Curated OER

Properties of Curves

For Students 11th - 12th
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves.  The forty-two page worksheet contains one hundred problems.  Answers are...
+
Unit Plan
College Board

Vectors: A Curriculum Module for AP® Calculus BC

For Students 10th - 12th
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
+
eBook
Rice University

Calculus Volume 3

For Students 11th - Higher Ed
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
+
Worksheet
Curated OER

Math 53 - Review for Midterm 1

For Students Higher Ed
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
+
Worksheet
Curated OER

Math 53 - Midterm 1 Review

For Students 11th - Higher Ed
For this math worksheet, students eliminate the parameter to find a Cartesian equation of the curve given by the parametric equations.
+
Worksheet
Curated OER

Worksheet 22 - Spring 1996

For Students 11th - Higher Ed
students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
+
Worksheet
Curated OER

Worksheet 11

For Students 11th - Higher Ed
In this math worksheet, students find the vector parametric equation and symmetric equations for the line using two coordinate points.
+
PPT
Curated OER

Calculus 3.6 - The Chain Rule

For Teachers 11th - 12th
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule.  He shows step by step ways to solve these...
+
Worksheet
Curated OER

Worksheet 17: Writing Equations

For Students 10th - Higher Ed
In this equations worksheet, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This two-page...
+
Worksheet
Curated OER

Mini Exam on Calculus

For Students 11th - 12th
In this calculus worksheet, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.
+
AP Test Prep
College Board

2004 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Given a set of questions, pupils realize the way the Calculus BC free-response exam asks questions. The items include both contextual and non-contextual questions. Both types are split into the calculator and non-calculator sections for...
+
Worksheet
Curated OER

Exploring the Ares 1X Launch-Parameters

For Students 10th - 12th
In this rocket launch worksheet, students solve 3 problems about the Ares 1X rocket and its launch, trajectory, and motion in both the vertical and horizontal direction.
+
Lesson Plan
Curated OER

Mini Examination

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule, and...
+
Lesson Plan
Curated OER

Review for Test on Derivatives.

For Teachers 12th - Higher Ed
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...
+
Lesson Plan
Curated OER

Test on sections 6.2-6.3

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus activity, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule,...
+
Lesson Plan
Curated OER

Final Exam Multiple Choice

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus activity, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule,...