1. 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.

  2. Solving Quadratic Equations Using Concrete Models

    • Resource ID: A1M6L5
    • Grade Range: 9–12
    • Subject: Math

    Given a quadratic equation, the student will use tiles to factor and solve the equation.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. Formulating Systems of Equations (Verbal → Symbolic)

    • Resource ID: A1M5L7
    • Grade Range: 9–12
    • Subject: Math

    Given verbal descriptions of situations involving systems of linear equations the student will analyze the situations and formulate systems of equations in two unknowns to solve problems.

  8. Solving Quadratic Equations Using Graphs

    • Resource ID: A1M6L7
    • Grade Range: 9–12
    • Subject: Math

    Given a quadratic equation, the student will use graphical methods to solve the equation.

  9. 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.

  10. 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.

  11. Solving One-Variable Inequalities

    • Resource ID: A1M3L5B
    • Grade Range: 9–12
    • Subject: Math

    Students will solve one-variable inequalities using a variety of representations, including tables, graphs, and symbolic representations.

  12. 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.

  13. 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.

  14. 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.

  15. 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.

  16. Direct Variation and Proportional Change

    • Resource ID: A1M4L12
    • Grade Range: 9–12
    • Subject: Math

    The student will use a variety of methods inculding tables, equations and graphs to find the constant of variation and missing values when given a relationship that varies directly. 

  17. 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.

  18. Introducing Conic Sections

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

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

  19. Making and Verifying Conjectures about Lines

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

    Students will investigate patterns and make conjectures about geometric relationships.

  20. Making and Verifying Conjectures about Polygons

    • Resource ID: GM1L9
    • Grade Range: 9–12
    • Subject: Math

    Students will investigate patterns and make conjectures about geometric relationships, including interior angles of polygons.