Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page activity contains four problems.
Worksheet
Curated OER

The Product and Quotient Rules

For Students Higher Ed
In this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.
Lesson Plan
Curated OER

Standard Linear Form

For Teachers 9th
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
Worksheet
Curated OER

Math 155: Worksheet 9 - Inverse Function

For Students Higher Ed
In this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
Lesson Plan
Curated OER

Whose Line is it Anyway?

For Teachers 8th - 10th
Students solve systems of equations. In this algebra instructional activity, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
Lesson Plan
Curated OER

Torricelli's Law

For Teachers 9th - 12th Standards
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...
Lesson Plan
Curated OER

Maxima and Minima Problems

For Teachers 11th - 12th
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative. 
Lesson Plan
Curated OER

Oodles of Poodles

For Teachers 10th - 11th
Learners solve equations by graphing. In this algebra lesson plan, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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.
Worksheet
Curated OER

NUMB3RS Activity: Implicit Orbits

For Students 10th - 11th
In this algebra worksheet, students solve word problems using algebraic equations and implicit differentiation. There are 16 problems dealing implicit differentiation.
Lesson Plan
Curated OER

What is Log?

For Teachers 9th - 12th Standards
Young mathematicians differentiate between logs and natural logs in this algebra lesson. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
Lesson Plan
Curated OER

Gateway Arc Length

For Teachers 9th - 12th Standards
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
Lesson Plan
Curated OER

Polynomial Rollercoaster

For Teachers 9th - 12th Standards
Learners relate polynomials to a rollercoaster track as they translate a graph around on a coordinate plane. They differentiate between different forms of algebraic expressions.
Worksheet
Curated OER

Trigonometric Graphs

For Students 12th
In this Trig worksheet, 12th graders identify and differentiate between trig graphs. They identify phase, translation and solve equations dealing with angles.
Worksheet
Curated OER

The Ares-V Cargo Rocket

For Students 9th - 11th
In this Ares-V cargo rocket worksheet, students read about this multi-purpose launch vehicle and its rocket boosters. Students are given an equation that relates the acceleration of the rocket to the time and mass of the rocket. They...
Lesson Plan
Curated OER

Comparing Linear and Exponential Data

For Teachers 9th - 12th Standards
Students graph linear and exponential equations. In this algebra lesson, students differentiate between linear and exponential equations. They relate it to the real world.
Lesson Plan
Curated OER

An Exploration of the Slope of a Line

For Teachers 9th - 11th
Young scholars define the slope of a line. In this algebra activity, students differentiate between parallel and perpendicular lines using their slopes. They rewrite equations in slope intercept form and explain the meaning of the slope.
Lesson Plan
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Himalayan Herds: Fractional Exponential Growth

For Teachers 9th - 10th
Students solve problems by identifying exponential growth and decay and differentiating between patterns, relation and functions. In this algebra lesson, students apply concepts of exponential growth to solve problems.
Lesson Plan
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Multiplying Monomials

For Teachers 9th - 12th Standards
Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
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...
Lesson Plan
Texas Instruments

Integration By Parts

For Teachers 9th - 12th Standards
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
Worksheet
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Introduction to Mathematical Modeling

For Students Higher Ed
In this mathematical modeling activity, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
Lesson Plan
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Points on a Line

For Teachers 9th - 12th Standards
How do you find slope? You use points on a line of course. slope. Teach your class how to calculate and differentiate between horizontal and vertical lines. They are sure to be pros at graphing lines on a coordinate plane by the end of...
Lesson Plan
Curated OER

Exponential Functions f(x) = abx

For Teachers 9th - 12th Standards
Students define exponential functions and graph the equation. For this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.