• 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.

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

### Domain and Range: Verbal Description

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

• Resource ID: A2M1L7
• Grade Range: 9–12
• Subject: Math

### Modeling Data with Linear Functions

Given a scatterplot where a linear function is the best fit, the student will interpret the slope and intercepts, determine an equation using two data points, identify the conditions under which the function is valid, and use the linear model to predict data points.

• Resource ID: A2M2L2
• Grade Range: 9–12
• Subject: Math

### Formulating Systems of Inequalities

Given a contextual situation, the student will formulate a system of two linear inequalities with two unknowns to model the situation.

• Resource ID: A2M2L5a
• Grade Range: 9–12
• Subject: Math

### Solving Systems of Equations Using Substitution

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of substitution.

• Resource ID: A2M2L5b
• Grade Range: 9–12
• Subject: Math

### Solving Systems of Equations Using Elimination

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of elimination.

• Resource ID: A2M2L6
• Grade Range: 9–12
• Subject: Math

### Solving Systems of Equations with Three Variables

Given a system of three linear equations, the student will solve the system with a unique solution.

• Resource ID: A2M2L8
• Grade Range: 9–12
• Subject: Math

### Solving Systems of Equations Using Matrices

Given a system of up to three linear equations, the student will solve the system using matrices with technology.

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

### Introducing Conic Sections

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

• Resource ID: PCM1L2
• Grade Range: 9–12
• Subject: Math

### Graphing Conic Sections: Ellipses

Given an equation, the student will use parameter changes to graph an ellipse and to identify the changes in the graph of an ellipse.

• Resource ID: PCM1L3
• Grade Range: 9–12
• Subject: Math

### Graphing Conic Sections: Hyperbolas

Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.

• Resource ID: A2M3L6
• Grade Range: 9–12
• Subject: Math

### Transformations of Absolute Value Functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

• Resource ID: GM1L6
• Grade Range: 9–12
• Subject: Math

### Determining the Validity of Conditional Statements

Given a conditional statement, the student will determine its validity and the validity of the converse, inverse and contrapositive.

• Resource ID: GM1L7
• Grade Range: 9–12
• Subject: Math

### Making and Verifying Conjectures about Angles

Given the relationship(s) among a set of angles, the student investigates the patterns and makes conjectures about the geometric relationships, including angles formed by parallel lines cut by a transversal.

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

### Making and Verifying Conjectures about Lines

Students will investigate patterns and make conjectures about geometric relationships.

• Resource ID: GM1L5
• Grade Range: 9–12
• Subject: Math

### Writing the Converse, Inverse, and Contrapositive

Given a conditional statement, the student will write its converse, inverse, and contrapositive.

• Resource ID: GM1L11
• Grade Range: 9–12
• Subject: Math

### Making and Verifying Conjectures about Three-Dimensional Figures

Students will explore volume conjectures and solve problems by applying  the volume formulas to composite figures.