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

• Resource ID: A1M6L1a
• 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.

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

• Resource ID: A1M6L2
• 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.

3. ### Solving Quadratic Equations Using Concrete Models

• Resource ID: A1M6L5
• Subject: Math

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

4. ### Solving Quadratic Equations Using Algebraic Methods

• Resource ID: A1M6L8
• Subject: Math

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

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

• Resource ID: A1M6L9
• 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.

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

• Resource ID: A1M6L10
• Subject: Math

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

7. ### Using the Laws of Exponents to Solve Problems

• Resource ID: A1M6L11
• Subject: Math

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

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

• Resource ID: A1M5L7
• 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.

9. ### Solving Quadratic Equations Using Graphs

• Resource ID: A1M6L7
• Subject: Math

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

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

• Resource ID: A1M1L4
• Subject: Math

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

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

• Resource ID: A1M1L5
• Subject: Math

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

12. ### Solving One-Variable Inequalities

• Resource ID: A1M3L5B
• Subject: Math

Students will solve one-variable inequalities using a variety of representations, including tables, graphs, and symbolic representations.

13. ### Determining the Meaning of Intercepts

• Resource ID: A1M4L7b
• 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.

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

• Resource ID: A1M4L11a
• Subject: Math

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.

15. ### Solving Linear Inequalities

• Resource ID: A1M5L4b
• 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.

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

• Resource ID: A1M4L11b
• 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.

17. ### Direct Variation and Proportional Change

• Resource ID: A1M4L12
• 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.

18. ### Analyzing Graphs of Quadratic Functions

• Resource ID: A1M6L4
• Subject: Math

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

19. ### Introducing Conic Sections

• Resource ID: PCM1L1