Alaska Performance Standards
Grade 4
Geometry
The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
Lessons (7)
Students consider the patterns that emerge from agent models and geometric fractals.
Explores lines, planes, angles, and polygons in tessellations.
Students learn to identify a variety of patterns using sequences and tessellations.
Examines plane symmetry.
This lesson shows elementary students how they can know, for certain, that rigid motions like reflections, rotations, and translations create a shape congruent to the original.
Introduces students to concepts of transformations.
Explore the mathematical nature of art and tilings and looks at the role of math in nature and our culture.
Activities (5)
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, revolving around any line (which yields a 3-D image), rotations about any point, and translations in any direction.
Build a "floor tile" by dragging the corners of a quadrilateral. Learn about tessellation of quadrilateral figures when the shape you built is tiled over an area.
Create a tessellation by deforming a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.
Explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation.
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, rotations about any point, and translations in any direction. Parameters: Shape, x or y translation, x or y reflection, angle of rotation