• 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: 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.

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

### Solving Quadratic Equations Using Graphs

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

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

### Formulating Systems of Equations (Verbal → Symbolic)

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.

• Resource ID: A1M1L9
• Grade Range: 9–12
• Subject: Math

### Writing the Symbolic Representation of a Function (Graph → Symbolic)

Given the graph of a linear or quadratic function, the student will write the symbolic representation of the function.

• Resource ID: A1M2L3
• Grade Range: 9–12
• Subject: Math

### Interpreting Graphs

Given a graph, the student will analyze, interpret, and communcate the mathematical relationship represented and its characteristics.

• Resource ID: A1M5L9
• Grade Range: 9–12
• Subject: Math

### Solving Systems of Equations with Graphs

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

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

### Solving Quadratic Equations Using Concrete Models

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

• Resource ID: A1M2L1
• Grade Range: 9–12
• Subject: Math

### Determining Parent Functions (Verbal/Graph)

Given a graph or verbal description of a function, the student will determine the parent function.