
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.

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.

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.

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.

Quadratics: Connecting Roots, Zeros, and xIntercepts
 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 (xintercepts) of the graph of the function.

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.

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.

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.

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.

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.

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.

Solving OneVariable Inequalities
 Resource ID: A1M3L5B
 Grade Range: 9–12
 Subject: Math
Students will solve onevariable inequalities using a variety of representations, including tables, graphs, and symbolic representations.

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.

Predicting the Effects of Changing yIntercepts 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 yintercept in the context of the situations.

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.

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.

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.

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.

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.

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.