• Resource ID: A1M4L3
• Grade Range: 9–12
• Subject: Math

### Determining the Domain and Range for Linear Functions

Given a real-world situation that can be modeled by a linear function or a graph of a linear function, the student will determine and represent the reasonable domain and range of the linear function using inequalities.

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

### Investigating Methods for Solving Linear Equations and Inequalities

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

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

### Selecting a Method to Solve Equations or Inequalities

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

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

### Determining Intercepts and Zeros of Linear Functions

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

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

### Solving Systems of Equations with Algebraic Methods

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

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

### Determining Reasonableness of Solutions (System of Equations)

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

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

### Determining the Domain and Range for Quadratic Functions

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.

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

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

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.

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

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

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.

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

### Solving Quadratic Equations Using Algebraic Methods

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

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

### Quadratics: Connecting Roots, Zeros, and x-Intercepts

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.

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

### Applying the Laws of Exponents: Verbal/Symbolic

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

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

### Using the Laws of Exponents to Solve Problems

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

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

### Writing Equations to Describe Functional Relationships (Verbal → Equation)

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

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

### Writing Inequalities to Describe Relationships (Verbal → Symbolic)

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

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

### Determining the Meaning of Intercepts

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.

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

### Predicting the Effects of Changing y-Intercepts in Problem Situations

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.

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

### Solving Linear Inequalities

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.

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

### Predicting the Effects of Changing Slope in Problem Situations

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.

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

### Analyzing Graphs of Quadratic Functions

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