This task presents students with some creative geometric ways to represent the fraction one half. The goal is both to appeal to students' visual intuition while also providing a hands on activity to decide whether or not two areas are equal.

In the first part of this video, we review the idea of flat space and the Pythagorean theorem. The second part of the video reviews ideas from trigonometry including the unit circle, sine, cosine, and pi. We conclude with a proof of an angle-sum identity.

This site teaches the Geometry of Circles to High Schoolers through a series of 1084 questions and interactive activities aligned to 9 Common Core mathematics skills.

This site teaches High Schoolers how to express geometric properties with equations through a series of 1721 questions and interactive activities aligned to 12 Common Core mathematics skills.

This site teaches High Schoolers Geometric Measurement and Dimension through a series of 82 questions and interactive activities aligned to 4 Common Core mathematics skills.

This site teaches High Schoolers how to Interpret Categorical and Quantitative Data through a series of 45 questions and interactive activities aligned to 2 Common Core mathematics skills.

This is a set of four, one-page problems about the distance craft travel on Mars. Learners will use the Pythagorean Theorem to determine distance between a series of hypothetical exploration sites within Gale Crater on Mars. Options are presented so that students may learn about the Mars Science Laboratory (MSL) mission through a NASA press release or by viewing a NASA eClips video [6 min.]. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school.

These games support student development of spatial sense and foster familiarity with the mathematical vocabulary of geometry.

Problem: How do you measure an angle with a protector, when that angle is between two solid walls? 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.

In this lesson, students will investigate error. As shown in earlier activities from navigation lessons 1 through 3, without an understanding of how errors can affect your position, you cannot navigate well. Introducing accuracy and precision will develop these concepts further. Also, students will learn how computers can help in navigation. Often, the calculations needed to navigate accurately are time consuming and complex. By using the power of computers to do calculations and repetitive tasks, one can quickly see how changing parameters likes angles and distances and introducing errors will affect their overall result.

The first of these word problems is a multiplication problem involving equal-sized groups. The next two reflect the two related division problems, namely, "How many groups?" and "How many in each group?"

The purpose of this task is to show three problems that are set in the same kind of context, but the first is a straightforward multiplication problem while the other two are the corresponding "How many groups?" and "How many in each group?" division problems.

Gingerbread men and gingerbread houses enjoy special popularity around the holidays, but many of these gingerbread activities are timeless and complement literature titles that teachers use at the beginning of school or after the holidays. It's very easy to incorporate mathematics into a study of gingerbread men, and students will enjoy the data collection activities and games while learning math skills and deepening their understanding of important mathematical concepts. Look through these math activities and add some to your repertoire. Consider broadening the gingerbread math to include measurement, games and problem solving this year.

This task gives students an opportunity to work with volumes of cylinders, spheres and cones. Notice that the insight required increases as you move across the three glasses, from a simple application of the formula for the volume of a cylinder, to a situation requiring decomposition of the volume into two pieces, to one where a height must be calculated using the Pythagorean theorem.

This lesson examines the effects of surface energy transfer and storage on ocean temperatures. Included are activities that introduce the use of scientific models. Students then use an energy flow computer model to track energy changes by manipulating four variables: solar energy, heat transfer, water transparency, and seasons of the year. Note that this is lesson four of five on the Ocean Motion website. Each lesson investigates ocean surface circulation using satellite and model data and can be done independently. See Related URL's for links to the Ocean Motion Website that provide science background information, data resources, teacher material, student guides and a lesson matrix.

This self-paced tutorial investigates evidence for contemporary climate change by examining multi-year weather, statistical and anecdotal records obtained from several U.S. localities. Learners plot and identify trends in regional weather data, learn the difference between weather and climate, and explore the pedagogic advantages associated with learning about global climate change by examining regional data. Videos describing local phenological data of changing seasonality, data portals, an interview with NASA scientist, Dr. Eric Fetzer, and activities to adapt for middle and high school classrooms are included. Vocabulary are linked to a glossary. This is the third of ten professional development modules providing opportunities for teachers to learn about climate change through first-hand data exploration.

An interactive applet and associated web page that illustrate the properties the 'Golden Rectangle' whose sides are in the 'golden Ratio' of 1 : 1.618 : 1. The applet shows a golden rectangle whose vertices a re draggable. When dragged the rectangle changes to remain in the that shape. The web page discusses some properties of a golden rectangle and where it appears in art. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

This is a simple task addressing the distinction between correlation and causation. Students are given information indicating a correlation between two variables, and are asked to reason out whether or not a causation can be inferred. The task would be well-suited either as an introduction to this distinction, or as an assessment item.

This task aims to give students practice counting and recording the given number on quantities up to 20.