Interactivate: Aligned Resources

Virginia Standards of Learning
5th Grade
Geometry
5.15e The student, using two-dimensional (plane) figures (square, rectangle, triangle, parallelogram, rhombus, kite, and trapezoid) will recognize the images of figures resulting from geometric transformations such as translation (slide), reflection (flip), or rotation (turn).

Lessons (3)

Emerging Patterns

Students consider the patterns that emerge from agent models and geometric fractals.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Geometry, Modeling

Related Topics: agent modeling, fractals, pattern, recursion, self-similarity

Transformations (Elementary)

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.

Audiences: Grades 3-5

Primary Subjects: Geometry

Related Topics: congruent, reflections, rotation, transformation, translation

Translations, Reflections, and Rotations

Introduces students to concepts of transformations.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Geometry

Related Topics: angles, cartesian coordinate, coordinate plane, coordinate system, dimension, distance, flips, geometry, glides, graph, hexagon, image, parallelogram, pattern, planes, polygon, pre-image, reflections, rotation, squares, symmetry, tessellations, transformation, translation, transpose, triangles

Activities (2)

3D Transmographer

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.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Algebra, Calculus, Geometry, Graphs

Related Topics: angles, calculus, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, polygon, polyhedra, reflections, rotation, symmetry, transformation, translation, transpose

Transmographer 2

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

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Geometry, Graphs

Related Topics: angles, cartesian coordinate, coordinate, coordinate plane, coordinate system, flips, geometry, glides, graph, image, linear equations, polygon, pre-image, reflections, rotation, symmetry, transformation, translation, transpose