Translations, Reflections, and Rotations

Grade 10

• Geometry
  • The student demonstrates an understanding of geometric relationships.
  • The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
  • The student demonstrates understanding of position and direction when solving problems (including real-world situations).
  • The student demonstrates a conceptual understanding of geometric drawings or constructions.

Grade 3

• Geometry
  • The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
  • The student demonstrates understanding of position and direction.
  • The student demonstrates a conceptual understanding of geometric drawings or constructions.

Grade 4

• Geometry
  • The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
  • The student demonstrates understanding of position and direction.
  • The student demonstrates a conceptual understanding of geometric drawings or constructions.

Grade 5

• Geometry
  • The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
  • The student demonstrates understanding of position and direction.
  • The student demonstrates a conceptual understanding of geometric drawings or constructions.

Grade 6

• Geometry
  • The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
  • The student demonstrates understanding of position and direction.

Grade 7

• Geometry
  • The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
  • The student demonstrates understanding of position and direction.

Grade 8

• Geometry
  • The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
  • The student demonstrates understanding of position and direction.

Grade 9

• Geometry
  • The student demonstrates an understanding of geometric relationships.
  • The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.
  • The student demonstrates understanding of position and direction when solving problems (including real-world situations).
  • The student demonstrates a conceptual understanding of geometric drawings or constructions.

Eighth Grade

• Geometry
  • Understand congruence and similarity using physical models, trans- parencies, or geometry software.

Geometry

• Congruence
  • Experiment with transformations in the plane
  • Understand congruence in terms of rigid motions

Grades 6-8

• Geometry
  • Apply transformations and use symmetry to analyze mathematical situations

Grades 9-12

• Geometry
  • Apply transformations and use symmetry to analyze mathematical situations
  • Use visualization, spatial reasoning, and geometric modeling to solve problems

Pre-Calculus

• Number and Operations
  • Competency Goal 1: The learner will describe geometric figures in the coordinate plane algebraically.

Technical Mathematics I

• Algebra
  • Competency Goal 3: The learner will describe the transformation of polygons in the coordinate plane algebraically.
• Geometry and Measurement
  • Competency Goal 2: The learner will measure and apply geometric concepts to solve problems.

Technical Mathematics II

• Geometry and Measurement
  • Competency Goal 1: The learner will use properties of geometric figures to solve problems.

3rd Grade

• Geometry
  • The student will demonstrate through the mathematical processes an understanding of the connection between the identification of basic attributes and the classification of two-dimensional shapes.

4th grade

• Geometry
  • Standard 4-4: The student will demonstrate through the mathematical processes an understanding of the relationship between two- and three-dimensional shapes, the use of transformations to determine congruency, and the representation of location and movement within the first quadrant of a coordinate system.

5th grade

• Geometry
  • The student will demonstrate through the mathematical processes an understanding of congruency, spatial relationships, and relationships among the properties of quadrilaterals.

6th Grade

• Geometry
  • The student will demonstrate through the mathematical processes an understanding of shape, location, and movement within a coordinate system; similarity, complementary, and supplementary angles; and the relationship between line and rotational symmetry.

Intermediate Algebra

• Algebra
  • The student will demonstrate through the mathematical processes an understanding of functions, systems of equations, and systems of linear inequalities.

4th Grade

• Geometry
  • 4.17.c The student will investigate congruence of plane figures after geometric transformations such as reflection (flip), translation (slide) and rotation (turn), using mirrors, paper folding, and tracing.

5th Grade

• Geometry
  • 5.15a The student, using two-dimensional (plane) figures (square, rectangle, triangle, parallelogram, rhombus, kite, and trapezoid) will recognize, identify, describe, and analyze their properties in order to develop definitions of these figures
  • 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).

7th Grade

• Geometry
  • 7.13 The student, given a polygon in the coordinate plane, will represent transformations - rotation and translation - by graphing the coordinates of the vertices of the transformed polygon and sketching the resulting figure.

8th Grade

• Geometry
  • 8.8 The student will apply transformations (rotate or turn, reflect or flip, translate or slide, and dilate or scale) to geometric figures represented on graph paper. The student will identify applications of transformations, such as tiling, fabric design, art, and scaling.