• Resource ID: GM4L16a
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Making Conjectures About Circles and Angles

    Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.

    • Resource ID: GM5L2
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Solving Problems With Similar Figures

    Given problem situations involving similar figures, the student will use ratios to solve the problems.

    • Resource ID: M8M2L6*
    • Grade Range: 6–8
    • Subject: Math

    OnTrack logo Determining Slopes from Equations, Graphs, and Tables

    Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.

    • Resource ID: GM1L6
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Determining the Validity of Conditional Statements

    Given a conditional statement, the student will determine its validity and the validity of the converse, inverse and contrapositive.

    • Resource ID: GM1L7
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Making and Verifying Conjectures about Angles

    Given the relationship(s) among a set of angles, the student investigates the patterns and makes conjectures about the geometric relationships, including angles formed by parallel lines cut by a transversal.

    • Resource ID: GM1L8
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Making and Verifying Conjectures about Lines

    Students will investigate patterns and make conjectures about geometric relationships.

    • Resource ID: GM1L5
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Writing the Converse, Inverse, and Contrapositive

    Given a conditional statement, the student will write its converse, inverse, and contrapositive.

    • Resource ID: GM1L11
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Making and Verifying Conjectures about Three-Dimensional Figures

    Students will explore volume conjectures and solve problems by applying  the volume formulas to composite figures.

    • Resource ID: GM1L12
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Constructing and Justifying Statements about Geometric Figures

    Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

    • 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.