This short video and interactive assessment activity is designed to teach fourth graders about calculating total weight from scales (metric units).

This short video and interactive assessment activity is designed to give fourth graders an overview of capacity (metric units).

This short video and interactive assessment activity is designed to teach third graders about calculating and comparing capacities with illustrations (metric units).

This example focuses on six letters to the editor. All six letters attempt to describe and compare the amount of taxes paid on two different incomes: $30,000 and $200,000. Tax rates are expressed in absolute dollars, tax per $1,000 of income, $1 of tax per income amount, and as percents of annual income. Students need to be able to organize the relevant information and convert each stated tax rate to a standard form to help make comparisons. Additionally, students need to be aware that letter writers may make their own mistakes!

This task is intended for instructional (rather than assessment) purposes, providing an opportunity to discuss technology as it relates to irrational numbers and calculations in general. The task gives a concrete example where rounding and then multiplying does not yield the same answer as multiplying and then rounding.

Students will observe the patterns of apparent motion of the sun using simple tools.

An activity where students make a geologic timeline from calculator tape.

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Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Master the calculus of derivatives, integrals, coordinate systems, and infinite series.
In this three-part series you will learn the mathematical notation, physical meaning, and geometric interpretation of a variety of calculus concepts. Along with the fundamental computational skills required to solve these problems, you will also gain insight into real-world applications of these mathematical ideas.

Part 1: Differentiation
Part 2: Integration
Part 3: Coordinate Systems & Infinite Series

This series of courses is part of the Open Learning Library, which is free to use. You have the option to sign up and enroll in the courses if you want to track your progress, or you can view and use all the materials without enrolling.

First published in 1991 by Wellesley-Cambridge Press, this updated 3rd edition of the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor’s Manual and a student Study Guide.

Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.
About the Instructor
Herb Gross has taught math as senior lecturer at MIT and was the founding math department chair at Bunker Hill Community College. He is the developer of the Mathematics As A Second Language website, providing arithmetic and algebra materials to elementary and middle school teachers.
Acknowledgements
Funding for this resource was provided by the Gabriella and Paul Rosenbaum Foundation.
Other Resources by Herb Gross
Calculus Revisited: Multivariable Calculus
Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra

This course is a brief introduction to sequences and infinite series. We begin with a discussion of power series and develop tests for convergence and non-convergence. Taylor series are introduced and lead to an analysis of power series in general. This is a 1-credit course that can be taken any time after the student has completed Calculus I. All course content created by Javad Moulai. Content added to OER Commons by Julia Greider.

This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician.
Online Publication

This is an undergraduate course on differential calculus in one and several dimensions. It is intended as a one and a half term course in calculus for students who have studied calculus in high school. The format allows it to be entirely self contained, so that it is possible to follow it without any background in calculus.

Spreadsheets Across the Curriculum activity. In advance of an actual lab activity, students virtually simulate the calibration of a laboratory micropipettor. QL: Accuracy and precision.

This problem involves the meaning of numbers found on labels. When the level of accuracy is not given we need to make assumptions based on how the information is reported. The goal of the task is to stimulate a conversation about rounding and about how to record numbers with an appropriate level of accuracy, tying in directly to the standard N-Q.3. It is therefore better suited for instruction than for assessment purposes.

Spreadsheets Across the Curriculum module. Students build a spreadsheet to find the combination of mini-pizzas and calzones that maximizes revenue given constraints on labor time and baking time.

This lesson will help students master Algebra I standard 15: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations [A-CED4]. The lesson will make the connection between isolating a guilty person in a "who-dun-it" with isolating a given variable in an equation. In addition, this lesson will involve students creating a list of procedures to use when solving for a given variable. At this time it is not necessary for students to know the formal names for the properties. It is important for students to understand the concepts and take part in creating a set of procedures for isolating a variable and solving equations. This lesson results from the ALEX Resource Gap Project.

This math example explains what celestial objects a person can see with the unaided eye from the vantage points of Earth and Mars, using simple math, algebra and astronomical distance information. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.