• Resource ID: GM1L14
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Using Counter Examples to Disprove Statements That Are False

    Given statements about a geometric relationship, the student will use counter examples to disprove statements that are false.

    • Resource ID: GM1L15
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Using Inductive Reasoning to Formulate Conjectures

    Students will practice identifying the converse, inverse, and contrapositive of conditional statements.

    • Resource ID: GM1L13
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Using Logical Reasoning to Prove Statements are True

    Given statements about a geometric relationship, the student will distinguish between the undefined terms, definitions, postulates, conjectures, and theorems to prove the statements are true.

    • Resource ID: GM2L6
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Using Properties of Transformations

    Given examples of mathematics in the real world, the student will use properties of transformations and their composites to describe and perform transformations of figures in a plane.

    • Resource ID: GM2L1
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Developing Algebraic Expressions to Represent Geometric Properties

    The student will investigate patterns to make conjectures.

    • Resource ID: GM2L2
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Developing Algebraic Expressions to Represent Geometric Properties of Polygons

    Given numerical and/or geometric patterns that represent geometric properties of polygons, the student will develop algebraic expressions that represent the geometric properties.

    • Resource ID: GM2L4
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Developing Algebraic Expressions to Represent Geometric Properties of Angle Relationships in Polygons

    Given numerical and/or geometric patterns that represent geometric properties of angle relationships in polygons, the student will investigate patterns to make conjectures about interior and exterior angles of polygons.

    • Resource ID: GM3L7
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Coordinate Geometry: Parallel and Perpendicular Lines

    Given characteristics of two lines, such as slopes and equations, the student will determine whether the lines are parallel, perpendicular, or neither.

    • Resource ID: GM3L1
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Describing and Drawing Cross Sections

    Given a verbal and/or pictorial description of the intersection of a plane with various three-dimensional geometric figures, the student will describe and/or draw the intersection.

    • Resource ID: GM4L2
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Determining Area: Composite Figures

    Given information about composite fiugres, the student will determine the area of composite 2-dimensional figures comprised of a combination of triangles and  parallelograms using appropriate units of measure.

    • Resource ID: GM4L4
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Determining Arc Length

    Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.

    • Resource ID: GM4L9
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Determining the Surface Area of Cones and Cylinders

    Given a problem involving cones or cylinders, the student will find the surface area using appropriate units of measure.

    • Resource ID: GM4L10
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Determining the Volume of Cones and Cylinders

    Given a problem involving cones or cylinders, the student will find the volume using appropriate units of measure.

    • Resource ID: GM4L14
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Making Conjectures about Parallel and Perpendicular Lines

    The student will verify theorems about angles formed by parallel lines cut by a transversal and apply these relationships to solve problems.

    • Resource ID: GM4L7
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Determining the Surface Area of Prisms and Pyramids

    Given a problem involving prisms or pyramids, the student will find the surface area using appropriate units of measure.

    • Resource ID: GM4L8
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Determining the Volume of Prisms and Pyramids

    Given a problem involving prisms or pyramids, the student will find the volume using appropriate units of measure.

    • Resource ID: GM4L18
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Making Conjectures About Congruence Transformations

    Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional and rotational symmetry in a plane figure.

    • Resource ID: GM4L15c
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Making Conjectures About Other Polygons

    Given information about the properties of polygons, students will verify theorems about the relationships, including the sum of interior angles, and apply these relationships to solve problems.

    • Resource ID: GM5L6b
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Investigating and Applying Dimension Changes: Area

    The student will describe the effects of changing one or more dimensions on the area of a figure.

    • Resource ID: GM4L19
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Applying Triangle Congruence Relationships

    Given congruent triangles, the student will justify and apply triangle congruence relationships.