In this task, output is given from a computer-generated simulation, generating size-100 samples of data from an assumed school population of 2000 students under hypotheses about the true distribution of yes/no voters.

This interactive applet introduces students to the topic of combinations, a basic concept in probability. Users create combinations of shirts and pants to determine the total number of possible outfits. They may simply explore by placing the clothes on Bobbie, or make a guess and then test it. The number of shirt and pants choices is customizable. An optional voice provides prompts and feedback.

The purpose of this task is for students to find different pairs of numbers that sum to 4.

The purpose of this task is to assess a student's ability to compute and interpret an expected value. Notice that interpreting expected value requires thinking in terms of a long-run average.

In this online game, learners test their knowledge of human anatomy. Learners are presented a mystery image of a body part and use their mouse to select the proper body part from a full size anatomical model (known as "Jerome"). Learners try to match all 10 body parts correctly. Use this activity to review human anatomy and/or introduce learners to the use of anatomical models.

Students investigate whether a bowling ball will float or sink in an aquarium of water after measuring the ball and determining the density. This is meant to be an investigative inquiry of the concepts of density and significant figures.

Students investigate whether a bowling ball will float or sink in an aquarium of water after measuring the ball and determining the density. This is meant to be an investigative inquiry of the concepts of density and significant figures.

The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation.

This Flash tool allows students to make a box plot of their data, using up to four categories of their own choosing, or using one of the data sets provided. The tool will plot all the data together, or break it out by category. Students can set a multiple of the Interquartile Range to be the Extreme Range, and exclude that data from the graph if they wish. Associated lessons (free) and a Mathematics Assessment Sampler (for purchase) are linked at the right side of the page.

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

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.

Learn through interactive problem solving – proven to be more effective than lectures. Enjoy interactive explorations written by award-winning teachers, researchers, and professionals. Brilliant guides you through an interactive exploration of concepts and principles, and helps you build your quantitative intuition. Learn frameworks for thinking and solving challenging problems, instead of memorizing formulas.

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.

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 3 lesson instructional unit helps students investigate many different aspects of triangles including basic properties of triangles, building other shapes from triangles, the dependence of the third side length on the other two (Triangle Inequality Theorem), and the Sierpinski Triangle fractal. The lesson includes student activity sheets and links to interactive applets.

This lesson helps students develop spatial visualization skills and geometric understanding by exploring the different nets that can be folded into a cube. The lesson is placed in the context of a young woman who is trying to build a jewelry box. The lesson provides an activity sheet, a link to a helpful applet (Cube Nets, cataloged separately), questions for students and teachers, and ideas for assessment and extensions.