Colorado

HS.3 Data, Statistics, and Probability

• HS.S-CP.A Conditional Probability & the Rules of Probability: Understand independence and conditional probability and use them to interpret data.

  • HS.S-CP.A.5 Recognize independent and dependent probability in everyday language and everyday situations.

    • Identify independent and dependent events (7-II.15)

HS.4 Geometry

• HS.G-CO.A Congruence: Experiment with transformations in the plane.

  • HS.G-CO.A.1 Know the attributes of perpendicular lines, parallel lines, line segments, angles, and circles.

    • Lines, line segments, and rays (6-DD.1)
    • Name, measure, and classify angles (7-Y.1)
    • Parts of a circle (7-Z.13)
    • Identify perpendicular lines (5)
    • Parallel and intersecting lines (4)

  • HS.G-CO.A.4 Describe rotations with an angle measure (90, 180, and 270 degrees), reflections with a line of symmetry, and translations with a direction and distance.

    • Describe a sequence of transformations (8-R.2)
    • Describe transformations (8-R.13)
    • Identify translations (8)
    • Identify reflections (8)
    • Identify rotations (8)

  • HS.G-CO.A.5 Given a geometric figure and a rotation, reflection, or translation of that figure, identify the corresponding parts.

    • Congruence statements and corresponding parts (7-FF.2)

• HS.G-CO.B Congruence: Understand congruence in terms of rigid motions.

  • HS.G-CO.B.6 Given a geometric figure, rotate (90, 180, or 270 degrees) or translate it a given amount or reflect it over a given line of symmetry.

    • Translations: graph the image (8-R.3)
    • Reflections over the x- and y-axes: graph the image (8-R.6)
    • Rotations: graph the image (8-R.10)
    • Identify reflections and rotations (8)
    • Identify reflections and translations (8)

  • HS.G-CO.B.7 Show that two triangles are congruent by matching up their three pairs of corresponding sides and three pairs of corresponding angles.

    • Identify congruent figures (8-R.16)
    • Determine if two figures are congruent: justify your answer (8-R.18)

  • HS.G-CO.B.8 Explain how every triangle with the same three length sides is congruent, but the same is not true for every triangle with the same three angles.

    • Prove triangles are congruent using rigid motions (G-L.1)

• HS.G-GPE.B Expressing Geometric Properties with Equations: Use coordinates to prove simple geometric theorems algebraically.

  • HS.G-GPE.B.7 Use coordinates and measure to find perimeters of polygons and areas of triangles and rectangles.

    • Area and perimeter of squares and rectangles on the coordinate plane (6-R.9)

• HS.G-GMD.A Geometric Measurement and Dimension: Explain volume formulas and use them to solve problems.

  • HS.G-GMD.A.1 Predict the circumference or area of a circle or the volume of a cylinder, pyramid, or cone and then use a formula or model to test that prediction.

    • Volume of pyramids (7-CC.8)
    • Volume of cylinders (7-CC.9)
    • Volume of cones (8-W.4)
    • Area of circles (6)
    • Circumference of circles (6)

  • HS.G-GMD.A.3 Use volume formulas for cylinders, pyramids, and cones to solve problems.

    • Volume of pyramids (7-CC.8)
    • Volume of cylinders (7-CC.9)
    • Volume of cones (8-W.4)

• HS.G-GMD.B Geometric Measurement and Dimension: Visualize relationships between two-dimensional and three-dimensional objects.

  • HS.G-GMD.B.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects.

    • Cross sections of three-dimensional figures (7-AA.4)