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    Investigating Methods for Solving Linear Equations and Inequalities

    • Resource ID: A1M5L3
    • Grade Range: 9–12
    • Subject: Math

    Given linear equations and inequalities, the student will investigate methods for solving the equations or inequalities.

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    Selecting a Method to Solve Equations or Inequalities

    • Resource ID: A1M5L3b
    • Grade Range: 9–12
    • Subject: Math

    Given an equation or inequality, the student will select a method (algebraically, graphically, or calculator) to solve the equation or inequality.

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    Determining Intercepts and Zeros of Linear Functions

    • Resource ID: A1M4L10
    • Grade Range: 9–12
    • Subject: Math

    Given algebraic, tabular, or graphical representations of linear functions, the student will determine the intercepts of the graphs and the zeros of the function.

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    Solving Systems of Equations with Algebraic Methods

    • Resource ID: A1M5L11
    • Grade Range: 9–12
    • Subject: Math

    Given verbal and/or algebraic descriptions of situations involving systems of two variable linear equations, the student will solve the system of equations.

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    Determining Reasonableness of Solutions (System of Equations)

    • Resource ID: A1M5L12
    • Grade Range: 9–12
    • Subject: Math

    Given verbal descriptions of situations involving systems of linear equations, the student will determine the reasonableness of the solutions to the system of equations.

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    Determining the Domain and Range for Quadratic Functions

    • Resource ID: A1M6L1
    • Grade Range: 9–12
    • Subject: Math

    Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, the student will determine the domain and range of the function.

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    Determining the Domain and Range for Quadratic Functions: Restricted Domain/Range

    • Resource ID: A1M6L1a
    • Grade Range: 9–12
    • Subject: Math

    Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, the student will determine restrictions as necessary on the domain and range of the function.

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    Analyzing the Effects of the Changes in "a" on the Graph y = ax^2 + c

    • Resource ID: A1M6L2
    • Grade Range: 9–12
    • Subject: Math

    Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when a is changed.

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    Solving Quadratic Equations Using Algebraic Methods

    • Resource ID: A1M6L8
    • Grade Range: 9–12
    • Subject: Math

    Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.

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    Quadratics: Connecting Roots, Zeros, and x-Intercepts

    • Resource ID: A1M6L9
    • Grade Range: 9–12
    • Subject: Math

    Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.

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    Applying the Laws of Exponents: Verbal/Symbolic

    • Resource ID: A1M6L10
    • Grade Range: 9–12
    • Subject: Math

    Given verbal and symbolic descriptions of problems involving exponents, the student will simplify the expressions using the laws of exponents.

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    Using the Laws of Exponents to Solve Problems

    • Resource ID: A1M6L11
    • Grade Range: 9–12
    • Subject: Math

    Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.

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    Writing Equations to Describe Functional Relationships (Verbal → Equation)

    • Resource ID: A1M1L4
    • Grade Range: 9–12
    • Subject: Math

    Given a problem situation represented in verbal form, students will write an equation that can be used to represent the situation.

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    Writing Inequalities to Describe Relationships (Verbal → Symbolic)

    • Resource ID: A1M1L5
    • Grade Range: 9–12
    • Subject: Math

    Given a problem situation represented in verbal form, students will write an inequality that can be used to represent the situation.

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    Determining the Meaning of Intercepts

    • Resource ID: A1M4L7b
    • Grade Range: 9–12
    • Subject: Math

    Given algebraic, tabular, and graphical representations of linear functions, the student will determine the intercepts of the function and interpret the meaning of intercepts within the context of the situation.

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    Predicting the Effects of Changing y-Intercepts in Problem Situations

    • Resource ID: A1M4L11a
    • Grade Range: 9–12
    • Subject: Math

    Given verbal, symbolic, numerical, or graphical representations of problem situations, the student will interpret and predict the effects of changing the y-intercept in the context of the situations.

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    Solving Linear Inequalities

    • Resource ID: A1M5L4b
    • Grade Range: 9–12
    • Subject: Math

    The student will represent linear inequalities using equations, tables, and graphs. The student will solve linear inequalities using graphs or properties of equality, and determine whether or not a given point is a solution to a linear inequality.

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    Predicting the Effects of Changing Slope in Problem Situations

    • Resource ID: A1M4L11b
    • Grade Range: 9–12
    • Subject: Math

    Given verbal, symbolic, numerical, or graphical representations of problem situations, the student will interpret and predict the effects of changing the slope in the context of the situations.

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    Analyzing Graphs of Quadratic Functions

    • Resource ID: A1M6L4
    • Grade Range: 9–12
    • Subject: Math

    Given the graph of a situation represented by a quadratic function, the student will analyze the graph and draw conclusions.

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    Domain and Range: Verbal Description

    • Resource ID: A2M1L4
    • Grade Range: 9–12
    • Subject: Math

    The student will be able to identify and determine reasonable values for the domain and range from any given verbal description.