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Planning and making a mini-quilt: In this lesson, students create a quilt using three transformations (reflection, rotation, and translation) and then investigate the ways shapes can be colored to show “one-half” and “one-fourth.” They also locate lines of symmetry... (Learn more); Format: lesson plan (grade 3–4 Mathematics); Provided by: Illuminations

Polygons: In this Illuminations lesson, students identify and classify polygons according to various attributes. They then sort the polygons in Venn Diagrams, according to these attributes. Students will: precisely describe, classify, and understand... (Learn more); Format: lesson plan (grade 3 and 5 Mathematics); Provided by: Illuminations

Project Interactivate: Online tools and interactive applets to make math make sense to secondary students. (Learn more); Format: website/lesson plan; Provided by: Shodor Foundation

Puzzling relationships: In this lesson, students use concrete materials to develop the skills needed to work with interactive Tangram puzzles. The students also further develop their understanding of spatial relationships and develop problem-solving skills. (Learn more); Format: lesson plan (grade K–1 Mathematics); Provided by: Illuminations

Rectangles and parallelograms: Students use dynamic software to examine the properties of rectangles and parallelograms and identify what distinguishes a rectangle from a more general parallelogram. Using spatial relationships, they will examine the properties of two-and three-dimensional... (Learn more); Format: lesson plan (grade 3–5 Mathematics); Provided by: Illuminations

Rescue mission game: Students play a game to learn about the four forces of flight: lift, drag, thrust, and weight. Illuminations provides an activity sheet and detailed instructions for completing the lesson. Students will: Identify and use the four forces... (Learn more); Format: lesson plan (grade 3–4 Mathematics); Provided by: Illuminations

Running races: Students generate and compare paths which model given problem situations on graphing grids. Illuminations provides a class notes recording sheets, activity sheets, a fact mastery record, and detailed instructions for completing the lesson. Students... (Learn more); Format: lesson plan (grade 3–4 Mathematics); Provided by: Illuminations

Seeing geometry in art: Students use paintings studied in the previous lesson to connect their knowledge of geometric shapes and terms with Kandinsky’s use of geometric figures. After reading Shapes, Shapes, Shapes by Tana Hoban or The... (Learn more); Format: lesson plan (grade 3–5 Visual Arts Education and Mathematics); Provided by: Illuminations

Shape explorer: A Shodor web applet: This lesson introduces students to the concept of area and provides online practice using Shape Explorer. Shape Explorer is an applet freely available on the Shodor... (Learn more); Format: lesson plan (grade 4 and 6 Mathematics); Provided by: Shodor

Shape hunt: The purpose of this lesson, from Science NetLinks, is to give students opportunities to recognize, describe, build, and explore shapes in many different contexts. In this investigation, students look for examples of patterns and shapes in both the natural... (Learn more); Format: lesson plan (grade K–2 Mathematics); Provided by: Science Netlinks

Shapes art: In this lesson, one of a five-part unit from Illuminations titled “Mathematics and Children's Literature,” students participate in activities in which they focus on connections between mathematics and children's literature. They listen to the... (Learn more); Format: lesson plan (grade K–1 English Language Arts); Provided by: Illuminations

Shapes at work: The purpose of this lesson is to look for shapes in both the natural and designed world and to investigate the ways in which shapes can be used. In this lesson, students design and build structures using appropriate shapes. They record shapes that they... (Learn more); Format: lesson plan (grade 3 and 5 Mathematics); Provided by: Illuminations

Single runner: In this activity, students use a software simulation of one runner along a track. They control the speed and starting point of the runner, watch the race, examine a graph, and analyze the time-versus-distance relationship. This activity helps students understand,... (Learn more); Format: lesson plan (grade 3–5 Mathematics); Provided by: Illuminations

Study the solids: In this interactive geometry investigation students will explore geometric solids and their properties. Illuminations provides a geometric solids tool and activity sheet for completing the lesson. As students explore the geometric solids, the teacher engages... (Learn more); Format: lesson plan (grade 3 Mathematics); Provided by: Illuminations

Symmetry & Pattern: The Art of Oriental Carpets: Patterns and symmetries of Oriental carpets as art and math. (Learn more); Format: website/lesson plan; Provided by: Math Forum at Swarthmore University

Tangram puzzles: In this lesson from Illuminations, students choose a picture and use all seven Tangram pieces to fill in the outline. They describe and visualize what figures look like when they are transformed through rotations or flips, or are put together or taken apart... (Learn more); Format: lesson plan (grade K–1 Mathematics); Provided by: Illuminations

TeachEngineering: This site provides inquiry-based lessons and activities which integrate applied science and math content within an engineering context which students will find relevant to their lives. (Learn more); Format: website/lesson plan

Teachers' Domain: Teachers’ Domain is an online library of more than 1,000 free media resources from the best in public television. (Learn more); Format: website/lesson plan; Provided by: WGBH - Boston

Teaching shapes using read-alouds, visualization, and sketch to stretch: This ReadWriteThink lesson encourages strategic reading and real-world math connections using a variety of techniques. Students explore shape and pattern through an adapted sketch to stretch strategy and read-alouds of winter-themed books. In the final... (Learn more); Format: lesson plan (grade K–2 English Language Arts and Mathematics); Provided by: ReadWriteThink

Telling racing stories: In this lesson, students model races in which runners start from various positions. They enter numbers in a table of values, model races on a coordinate grid, and compare the results. Students begin to develop an understanding of linear relationships. Illuminations... (Learn more); Format: lesson plan (grade 3–4 Mathematics); Provided by: Illuminations

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