1. ### Writing Equations of Lines

• Resource ID: A1M4L9
• Grade Range: 9–12
• Subject: Math

Given two points, the slope and a point, or the slope and the y-intercept, the student will write linear equations in two variables.

2. ### Determining the Domain and Range for Linear Functions

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

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.

3. ### Investigating Methods for Solving Linear Equations and Inequalities

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

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

4. ### Selecting a Method to Solve Equations or Inequalities

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

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

5. ### Solving Linear Equations and Inequalities

• Resource ID: A1M5L4
• Grade Range: 9–12
• Subject: Math

When given a table, equation or verbal description students will solve one and two variable equations and inequalities using algebraic steps or graphing methods.

6. ### Determining Intercepts and Zeros of Linear Functions

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

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

7. ### Solving Systems of Equations with Graphs

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

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

8. ### Solving Systems of Equations with Algebraic Methods

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

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

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

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

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

10. ### Determining the Domain and Range for Quadratic Functions

• Resource ID: A1M6L1
• 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 the domain and range of the function.

11. ### 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.

12. ### 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.

13. ### 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.

14. ### 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.

15. ### 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.

16. ### 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.

17. ### 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.

18. ### 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.

19. ### 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.

20. ### 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.