Geometry

  • Coordinate and Transformational Geometry

    Students understand the connection between algebra and geometry and use the one- and two-dimensional coordinate systems to verify geometric conjectures. Students generate and describe transformations (dilations, translation, reflection, and rotation).

    New TEKS:

    • Determine the coordinates of a point (endpoints are a fractional distance less than 1)
    • Identify the sequence of transformations performed for a given pre-image and image (on or off the coordinate plane)
    • Identify and distinguish between reflectional and rotational symmetry in a plane figure

    Logical Argument and Constructions

    Students use process skills with deductive reasoning to understand geometric relationships. Students use constructions to validate conjectures about geometric figures.

    New TEKS:

    • Recognize the connection between a bi-conditional statement and a true conditional statement with a true converse
    • Verify the Triangle Inequality Theorem using constructions and apply the theorem to solve problems

    Two-Dimensional and Three-Dimensional Figures

    Students recognize characteristics and dimensional changes of two- and three-dimensional figures.

    New TEKS:

    • Identify three-dimensional objects generated by rotations of two-dimensional shapes

    Circles

    Students understand geometric relationships and apply theorems and equations about circles.

    New TEKS:

    • Describe radian measure of an angle
    • Determine the equation for the graph of a circle

    Probability

    Students understand probability in real-world situations and how to apply independence and dependence of events.

    New TEKS:

    • Develop strategies to use permutations and combinations to solve contextual problems
    • Identify whether two events are independent and compute the probability of the two events occurring together with or without replacement
    • Apply conditional probability in contextual problems
    • Apply independence in contextual problems