Worksheet
Curated OER

Worksheet 38

For Students 11th - Higher Ed
In this math worksheet, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...
Lesson Plan
Curated OER

Test on Limits and Continuity

For Teachers 11th - 12th
Students review concepts of logarithms for their test. For this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse...
Interactive
CK-12 Foundation

Compound Interest per Period: Credit Card Payment

For Students 10th - 12th
Credit cards can be convenient, but are they worth it? Future consumers learn about compound interest and credit card payments. They use an interactive to create a table that shows the remaining balance after each month.
Interactive
CK-12 Foundation

Even and Odd Functions and Function Symmetry: Even and Odd Functions

For Students 10th - 12th Standards
Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.
Lesson Plan
Texas Instruments

Drawing a Line Tangent to a Circle

For Teachers 9th - 12th Standards
Explore lines tangent to a circle. In this math lesson, students manipulate circles and lines on a TI calculator. They draw a circle  and analyze perpendicular lines intersecting the circle in only one place. This activity works...
Lesson Plan
Curated OER

Converge or Diverge?

For Teachers 11th - 12th
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
Interactive
Curated OER

Misplaced and Dangling Modifiers

For Students 7th - 12th
When reviewing the use of modifiers, this activity could be a useful tool to use. With 20 questions, highlighting a variety of misplaced or dangling modifiers, this worksheet could be a quick and easy way to go over this topic.
Lesson Plan
Curated OER

A Second View of Polar Coordinates

For Teachers Higher Ed
For this polar coordinates worksheets, students change ordered pairs from rectangular form to polar form. They plot and label points and identify alternative coordinate pairs for given points. There are approximately 20 problems on...
Worksheet
Curated OER

Parabola Reflection Property

For Students 10th - 11th
In this algebra worksheet, students analyze proofs for parabola and questions about each step of a parabola. They also review elliptical properties. There is an answer key with these 2 problems.
Worksheet
Curated OER

Linear Approximation

For Students 9th - 11th
For this algebra worksheet, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.
Worksheet
Curated OER

Math 305 Handout 2

For Students Higher Ed
In this college level calculus worksheet, students determine if the given equation is linear and determine the order of the equation.  The one page worksheet contains forty-three problems.  Answers are provided. 
Lesson Plan
Curated OER

Quiz On Basic Integration Formulas

For Teachers 9th - 12th
High schoolers participate in a formal assessment of knowledge concerning the basic Integration Formulas. They apply the review practices given in the resource links to problems found in the assessment. The teacher should use these as...
Lesson Plan
Curated OER

Exploring the Area Under a Curve

For Teachers 9th - 12th Standards
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
Lesson Plan
Texas Instruments

Cylindrical Soda Can

For Teachers 10th - 12th Standards
Young scholars explore an application of differentiation in this calculus lesson. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has the...
Worksheet
Curated OER

Integrals

For Students 12th - Higher Ed
In this integrals worksheet, students solve and complete 20 various types of problems. First, they evaluate each of the listed integrals shown. Then, students find the area under the graph given and above the x-axis between two points....
Lesson Plan
Texas Instruments

Confectionery Delight

For Teachers 9th - 12th Standards
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
Lesson Plan
Curated OER

Hunter Fred's Quest for Dinner

For Teachers 9th - 12th Standards
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
Worksheet
Curated OER

Integrals

For Students 12th - Higher Ed
In this integrals worksheet, students solve and complete 22 different types of problems. First, they evaluate each of the listed integrals provided on the sheet. Then, students solve each of the differential equations. They also graph a...
Worksheet
Curated OER

Domain and Range

For Students 12th - Higher Ed
In this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...
Lesson Plan
Curated OER

Shortest Path

For Teachers 9th - 12th
High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...
Worksheet
Curated OER

Inverse Functions

For Students 12th - Higher Ed
For this inverse functions worksheet, 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 function. They...
Lesson Plan
Texas Instruments

Quartic Regions

For Teachers 9th - 12th Standards
Young scholars explore quartic functions in this calculus lesson plan. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
Lesson Plan
Curated OER

The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
Lesson Plan
Curated OER

Parametric Equations

For Teachers 9th - 12th
Students investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the activity for direct...