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

Maximum and Minimum of Functions

For Students 10th - 12th
In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
eBook
Rice University

Calculus Volume 2

For Students 11th - Higher Ed
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Worksheet
Curated OER

Worksheet 6.7 MT-A141 PreCalculus

For Students 10th - 11th
In this PreCalculus instructional activity, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
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

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

Twenty Multiple Choice and Free Response Derivative Problems

For Students 11th - Higher Ed
In this derivative instructional activity, 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...
Lesson Plan
Curated OER

Drawing Regular Polygons

For Teachers 9th - 12th Standards
Learners investigate properties of regular polygons. For this geometry lesson, your class will use a graphing calculator and parametric equations to construct regular polygons and investigate the relationship between the measure of...
Worksheet
Curated OER

Vectors

For Students 11th - Higher Ed
For this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that...
Lesson Plan
Curated OER

Length of an Arc

For Teachers 11th - 12th
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
Worksheet
Curated OER

PreCalculus Worksheet 8.4

For Students 11th - 12th
In this precalculus worksheet, students write numbers in their trigonometric form and compute the numbers to a given power. Students explore the parametric function and trace the roots of unity. After completing eight short answer...
Worksheet
Curated OER

Parametric Functions and Substitutions

For Students Higher Ed
For this solar winds activity, students determine the strength of magnetic storms in terms of the size of the change they make in the Earth's magnetic field. This worksheet has 3 problems to solve.
Activity
Curated OER

As the Wheel Turns

For Teachers 10th - 12th Standards
This is not your typical Ferris wheel problem. In this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the edge...
Lesson Plan
Curated OER

Calculus: Graphical, Numerical, Algebraic

For Teachers 10th - 12th
Learners explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
Lesson Plan
Curated OER

BASEBALL HOME RUN

For Teachers 7th - 9th
Students determine whether a hit baseball is a home run or not by utilizing parametric equations to describe the path of the ball. They assess the importance of angles and velocity needed to hit a home run. In addition, in their own...
Worksheet
Curated OER

Worksheet 2.4/2.5: MT-A141 PreCalculus

For Students 11th - 12th
For this precalculus worksheet, students use their graphing calculator to graph the domain and range of given terms. They write parametric equations and identify the coordinates of the points on the relation given certain terms.
Worksheet
Curated OER

Properties of Curves

For Students 11th - 12th
In this Calculus instructional activity, 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 instructional activity contains one...
Worksheet
Curated OER

Review Problems

For Students 9th - 11th
In this algebra worksheet, students identify functions using the domain and range. They use correct function notation to solve composition functions. There are 13 questions.
Worksheet
Curated OER

Pre-Calculus Sudoku Puzzle

For Students 11th
In this pre-calculus instructional activity, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This instructional activity would be a great warm up or fun test review.
Worksheet
Curated OER

Complex Analysis: Introduction to Contours

For Students Higher Ed
In this contour learning exercise, students compute complex valued functions of a real variable. They give examples of a parametric representation and draw a sketch of the points. This two-page learning exercise contains explanations...
Lesson Plan
Curated OER

Optimization

For Teachers 9th - 12th Standards
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
Lesson Plan
EngageNY

Designing Your Own Game

For Teachers 11th - 12th Standards
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
Worksheet
Curated OER

Cartesian Geometry

For Students 9th - 11th
In this geometry worksheet, students plot coordinate pairs and connect the points to create different shapes. They give th shapes its polygon's name. They differentiate between simple functions and rectangular hyperbola.
Lesson Plan
Curated OER

TI-89 Activities for PreCalculus and AP Calculus

For Teachers 9th - 12th Standards
Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89.  Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...