• Resource ID: A2M1L7
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Modeling Data with Linear Functions

    Given a scatterplot where a linear function is the best fit, the student will interpret the slope and intercepts, determine an equation using two data points, identify the conditions under which the function is valid, and use the linear model to predict data points.

    • Resource ID: A2M2L2
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Formulating Systems of Inequalities

    Given a contextual situation, the student will formulate a system of two linear inequalities with two unknowns to model the situation.

    • Resource ID: A2M2L5a
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Solving Systems of Equations Using Substitution

    Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of substitution.

    • Resource ID: A2M2L5b
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Solving Systems of Equations Using Elimination

    Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of elimination.

    • Resource ID: A2M2L6
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Solving Systems of Equations with Three Variables

    Given a system of three linear equations, the student will solve the system with a unique solution.

    • Resource ID: A2M2L8
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Solving Systems of Equations Using Matrices

    Given a system of up to three linear equations, the student will solve the system using matrices with technology.

    • Resource ID: PCM1L1
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Introducing Conic Sections

    Given a verbal description or a pictorial representation, the student will describe a conic section as the intersection of a cone and a plane.

    • Resource ID: PCM1L2
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Graphing Conic Sections: Ellipses

    Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.

    • Resource ID: PCM1L3
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Graphing Conic Sections: Hyperbolas

    Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.

    • Resource ID: A2M3L6
    • Grade Range: 9–12
    • Subject: Math

    OnTrack logo Transformations of Absolute Value Functions

    Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

    • 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.