1 Algebraic Transformations Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 9–12 Professional Commentary: Students use rotations and reflections of a rectangle and other geometric shapes to study the algebraic properties of commutativity, associativity, identity, and inverse. NCTM labels this two-lesson unit for middle grades (6-8), but the ideas embodied in it (symmetry groups) are often studied in graduate level abstract algebra courses.... Career Fields: Arts & Communication Projects: Standards First Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 3–4 Professional Commentary: Students use 1-inch square tiles and paper ruled into 1-inch squares to solve the problem of finding all possible ways to arrange five squares into shapes called pentominoes. The problem is motivated and clarified by looking first at dominoes (two squares), triominoes (three squares), and tetrominoes (four squares).... 3 Two-Point Perspective Drawing Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 9–12 Professional Commentary: Students use interactive geometry exploration software (GES) to create a two-point perspective drawing. Students explore geometric transformations of the model of a rectangular prism viewed from different perspectives.... Career Fields: Arts & Communication, Construction Technologies, Manufacturing Technologies Projects: Standards First 4 Translations, Reflections, and Rotations Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: This lesson provides an introduction to geometric transformations -- reflections, rotations, translations, and glide reflections. The accompanying applet allows students to perform a transformation and then analyze the relationship between the original object and the resulting image.... 5 Matrix/Spreadsheet/Transformation Lesson Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 11–Postsecondary Professional Commentary: Students investigate the connection between geometric transformations and matrix multiplication. By entering the coordinates of the vertices of a geometric figure into a matrix and then multiplying by a 2x2 diagonal matrix, they analyze the correspondence between the multiplier matrix and the transformation it produces on the vertices of the figure.... 6 Mathematics and Children's Literature: Shapes and Poetry Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades K–2 Professional Commentary: This lesson is the first of three multi-topic lessons that focus on activities motivated by mathematically related stories from children's literature. The teacher reads the poem "Shapes" from A Light in the Attic, and students use cutouts or draw shapes to depict the story in the poem.... Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades PreK–2 Professional Commentary: In this first of five lessons related to football, students identify geometric shapes on a football field. Some of the shapes are overlapping or rotated in orientation.... 8 Building with Triangles: What Can You Build With Two Triangles? Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades PreK–2 Professional Commentary: In this first of four lessons related to triangles, students use multiple cutouts of triangles to form and name other geometric shapes. An activity sheet, solutions, and problem extensions are included.... 9 Building with Triangles: How Do You Build Triangles? Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades K–5 Professional Commentary: In this second of four lessons related to triangles, students use pattern block cutouts to form triangles in a variety of ways. An activity sheet, solutions, and problem extensions are included.... 10 Polygon Capture: A Geometry Game Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 4–8 Professional Commentary: This game requires students to classify polygons according to more than one property at a time. Students identify shapes whose sides and angles satisfy specified criteria, and in so doing, move from a simple description of shapes to an analysis of how properties are related.... Career Fields: Agricultural & Environmental Systems, Construction Technologies, Manufacturing Technologies, Transportation Systems, General Career Skills Projects: Standards First |