Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Worksheet
Curated OER

Functions

For Students 12th - Higher Ed
For this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...
Lesson Plan
Curated OER

The Definite integral and Area Under a Curve

For Teachers 11th - 12th
Students define integrals and explore how they relate to the areas under a curve. For this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area under...
Worksheet
Curated OER

The Integration of Exponential Functions

For Students 11th - 12th
In this calculus instructional activity, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Interactive
Curated OER

The Limit Definition of a Definite Integral

For Students 11th - 12th
In this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
Lesson Plan
Curated OER

Rhythm and Art: Painting

For Teachers 9th - 12th
High schoolers make connections between music and visual art. In this integrated arts lesson, students design paintings that challenge them to examine the relationship between art elements and principles.
Worksheet
Curated OER

Section 7.4 Practice: The Exponential Function

For Students 11th - 12th
For this exponential functions worksheet, students solve 7 exponential function problems.  Students find the integral and derivatives of various exponential expressions.
Worksheet
Curated OER

The Hyperbolic Sine and Cosine

For Students 11th - 12th
In this sine and cosine worksheet, students find derivatives and integrals of 6 functions.  Students find derivatives, indefinite integrals and the area between two curves.
PPT
Portland
 State
 University

Historical Reflections on the Fundamental Theorem Of (Integral) Calculus

For Teachers 11th - 12th
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
Lesson Plan
Curated OER

Worksheet 33 - Integrals

For Teachers Higher Ed
In this integral worksheet, students analyze equations using the gamma function. They sketch graphs of functions, and find the are between the graph and the x-axis. This two-page worksheet contains five multi-step equations.
Lesson Plan
Curated OER

Worksheet 7 - Integral Test

For Teachers Higher Ed
In this integral test worksheet, students use the integral test to determine the upper and lower bounds for a given function. They identify the convergence of a series. This one-page worksheet contains four multi-step problems.
Lesson Plan
Curated OER

Worksheet One - Definite Integral

For Teachers Higher Ed
For this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
Lesson Plan
Curated OER

Worksheet 6 - Improper Integrals

For Teachers Higher Ed
In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.
Lesson Plan
Curated OER

Worksheet 4 - function

For Teachers Higher Ed
In this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
Lesson Plan
Curated OER

Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Lesson Plan
Curated OER

Integration By Substitution

For Teachers 9th - 12th Standards
Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Lesson Plan
Curated OER

Machines: Designing Form and Function

For Teachers 9th - 12th
High schoolers design a boat model with simplified steam engine. For this ecology lesson, students compare renewable and nonrenewable energy sources. They determine the efficiency of their boat model.
Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Unit Plan
Mathematics Vision Project

Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
Interactive
Curated OER

Divergence and Surface Integrals

For Students 11th - Higher Ed
In this divergence and surface integrals worksheet, students explore given vector fields and calculate the divergence and surface integrals of given functions. This one-page worksheet contains 5 multi-step problems.
Lesson Plan
Curated OER

Elevator Height as Integral of Velocity

For Teachers 9th - 12th Standards
Pupils investigate integrals and their relationship to velocity in this calculus lesson. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
Worksheet
Curated OER

Quadratic Relations and Functions

For Students 8th - 10th
In this algebra worksheet, students find the roots of graphs. They factor and solve quadratic equations. There are 2 questions.
Lesson Plan
Missouri Department of Elementary

Respect for Self and Others—Giving and Getting the Big R

For Teachers 7th Standards
Tween find out what it means to give and get respect. After reviewing the Recipe for Relationships studied in a previous lesson, groups create a dramatization of two-minute scenario in which an individual behaves inappropriately in a...
Lesson Plan
Project Maths

Integral Calculus

For Teachers 10th - Higher Ed
From derivatives to antiderivatives and back again. Building on the second instructional activity of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of...