This instructional task requires students to figure out word problems that require thinking in base 10.

This is a seminar series led by graduate students and postdocs in the MIT Department of Brain and Cognitive Sciences (BCS) from 2015 to the present, featuring tutorials on computational topics relevant to research on intelligence in neuroscience, cognitive science, and artificial intelligence. These tutorials are aimed at participants who have some computational background but are not experts on these topics.
A computational tutorial can consist of any method, tool, or model that is broadly relevant within neuroscience, cognitive science, and artificial intelligence. The goal is to bring researchers in brain and cognitive sciences closer to the researchers creating computational methods. 
Resources posted here include lecture videos, lecture slides, code and datasets for exercises, background references, and other supplementary material. Typically, each tutorial consists of a short lecture, and an interactive part with tutorials or “office hours” to work through practice problems and discuss how the material may be applied to participants’ research. 
This series was organized by Emily Mackevicius, Jenelle Feather, Nhat Le, Fernanda De La Torre Romo, and Greta Tuckute, with financial support from BCS. Videos were filmed, edited, and produced by Kris Brewer, Director of Technology at the Center for Brains, Minds, and Machines (CBMM).

This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.

The purpose of this task is to assess a student's ability to explain the meaning of independence in a simple context.

Bridges come in a wide variety of sizes, shapes, and lengths and are found all over the world. It is important that bridges are strong so they are safe to cross. Design and build a your own model bridge. Test your bridge for strength using a force sensor that measures how hard you pull on your bridge. By observing a graph of the force, determine the amount of force needed to make your bridge collapse.

This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

This resource is a place to house OSPI's briefs and infographics on content integration anchored in science.  The collection will grow over time as resources are developed.

SSAC Physical Volcanology module. Students build a spreadsheet and apply the ideal gas law to model the velocity of a bubble rising in a viscous magma.

A new instructional model, called Argument-Driven Inquiry (ADI), is introduced to elementary teachers in this article. The author shows how school librarians and classroom teachers can collaborate to help students construct and communicate evidence, or arguments. Evidence buckets, a collaborative activity, and related online resources are presented. The article appears in the free online magazine Beyond Weather and the Water Cycle, which is structured around the seven essential principles of climate literacy.

In this Spreadsheets Across the Curriculum module, students build spreadsheets and draw graphs to explore a chemical buffer's ability to resist pH change, i.e., the buffer capacity. Quantification of buffer capacity is conceptually straightforward but involves multiple repetitive calculations. The key relationship is the Henderson-Hasselbalch equation: , which follows from the Law of Mass Action and The spreadsheets automate many of the calculations, thereby simplifying the process. Instead of focusing on the calculations, students can see what buffer capacity means and focus on the a deeper understanding of its implications. After reviewing several buffer calculations, the stduents use the spreadsheet to investigate buffer capacity graphically and characterize blood's physiological buffer system. While solving the question of how many breaths one can take before alkalosis sets in, the students manipulate a logarithmic equation, do "what if" modeling, and analyze rates of change from plots of their cacluated results.

Build fractions from shapes and numbers to earn stars in this fractions game or explore in the Fractions Lab. Challenge yourself on any level you like. Try to collect lots of stars!

This lesson will provide an introduction to finding the inverse of a function or a relation. Through a combination of teacher-led instruction and collaboration, students will discover a method for finding the inverse of a function or relation. The use of an online graphing calculator will aid students with their discovery. This lesson results from the ALEX Resource Gap Project.

A bungee jump involves jumping from a tall structure while connected to a large elastic cord. Design a bungee jump that is "safe" for a hard-boiled egg. Create a safety egg harness and connect it to a rubber band, which is your the "bungee cord." Finally, attach your bungee cord to a force sensor to measures the forces that push or pull your egg.

This task is for instructional purposes only and builds on ``Building an explicit quadratic function.''

This is the first of a series of task aiming at understanding the quadratic formula in a geometric way in terms of the graph of a quadratic function.

This task applies reflections to a regular hexagon to construct a pattern of six hexagons enclosing a seventh: the focus of the task is on using the properties of reflections to deduce this seven hexagon pattern.

This task applies reflections to a regular octagon to construct a pattern of four octagons enclosing a quadrilateral: the focus of the task is on using the properties of reflections to deduce that the quadrilateral is actually a square.

A zip line is a way to glide from one point to another while hanging from a cable. Design and create a zip line that is safe for a hard-boiled egg. After designing a safety egg harness, connect the harness to fishing line or wire connected between two chairs of different heights using a paper clip. Learn to improve your zip line based on data. Attach a motion sensor at the bottom of your zip line and display a graph to show how smooth a ride your egg had!