In this month-long interdisciplinary project students collect weather data, determine the best visual representation for displaying it, and discuss the patterns and implications of their findings. This resource includes extension and assessment suggestions and guiding questions.

Students conduct five experiments through stations to compare theoretical and experimental probability. Instruction begins with definitions, verbal and algebraic, of both theoretical and experimental probability, followed by experiments using coins and cards. The class data will be combined to compare with previously established theoretical probability.

The activities in this Illumination lesson plan deal with patterns and the importance of looking at an object/item from more than a single perspective and reaffirms to learners that numerous reasonable solutions are possible. Students investigate a series of items (a list of class names and a parade of animals) that appear to be ordered in some "obvious" ways and also explore ways of sorting items ( a deck of cards and numbered horses) into two disjoint groups on the basis of some definable characteristic. Activity sheets are included in pdf format.

In this geometry lesson students classify triangles and explore side lengths of triangles to discover the Triangle Inequality Theorem. The resource includes an exploratory activity and student sheet (pdf), class discussion prompts, a small group spinner activity, extension suggestions, and links to two related resources (cataloged separately).

This lesson from Illuminations helps students to begin to develop an understanding of area by using a Java applet on the computer. Learners use 12" × 12" paper squares to measure the area of a door and determine whether area increases or decreases as the length or width of their door changes. The lesson includes discussion questions, extensions, and other teacher support. It is supported by the applet IGD: Areas in Geometry (cataloged separately).

In these two geometry activities students explore the properties of triangles, discover what shapes triangles can form, and investigate what shapes can form triangles. Each activity includes a student recording sheet, extension ideas, and questions for students. Cataloged separateley within this site are the Patch Tool and the related How Many Triangles Can You Construct? activity.

In this unit of five lessons from NCTM's Illuminations, students explore the numbers of letters in their names and create bar graphs, pictographs, circle graphs, and glyphs. They also find the range, compute measures of center, and create box-and-whisker plots. Individual lessons link to related tools where appropriate, and include questions for students, assessment options, teacher reflection questions, and sometimes extensions.

In this lesson plan students must interpret data from a pictograph and make predictions based on the data displayed. The lesson plan includes an activity worksheet in PDF format and suggested extension activities.

Positive and negative numbers become more than marks on paper when learners play this variation of the card game, Rummy. Engaged in a game involving both strategy and luck, learners build understanding of additive inverses, adding integers, and absolute value. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.