XHSC 0962D HS Algebra 1A

Credits: .5

Includes using rational; expressions; linear equations, systems of equations, inequalities, and quadratic equations; and interpreting, analyzing, and building linear and quadratic functions.

Student Learning Outcomes:

Create mathematical models of abstract and real-world situations using linear equations, linear systems, linear inequalities, quadratic equations, and exponential equations.
Use inductive reasoning to develop mathematical conjectures involving linear equations, linear systems, linear inequalities, quadratic and exponential equations, and to verify and apply mathematical arguments involving these algebraic concepts.
Use mathematical problem-solving techniques involving linear equations, linear systems, linear inequalities, quadratic equations, including the use of tabular, graphical, symbolic, and narrative representations.
Make mathematical connections to, and solve problems from, other disciplines involving linear equations, linear systems, linear inequalities, quadratic equations, and literal equations.
Use oral and written skills to communicate about linear equations, linear systems, linear inequalities, and quadratic equations.
Use appropriate technology to enhance mathematical thinking and understanding, solve mathematical problems involving linear equations, linear systems, linear inequalities, and quadratic equations, and judge the reasonableness of results.

Content Outline

Linear Equations
- Review input-output tables and Cartesian coordinate graphs
- Identify and calculate linear slopes and rates
- Write equations of a line in slope-intercept form
- Identify slope and y-intercept from an equation of a line
- Represent a line graphically from slope intercept form and using a graphing calculator
- Solve linear equations using data tables, graphically and symbolically
- Solve linear equations using a graphing calculator
- Model linear relationships with an approximation of the line of best fit
- Applications of rates and linear equations
- Solve literal equations
Linear systems of Equations
- Solve systems of equations with data tables and graphs
- Solve systems of equations by substitution
- Solve systems of equations by elimination
- Solve systems of equations using a graphing calculator
- Applications using systems
Linear Inequalities
- Define inequality
- Write an inequality relationship
- Solve inequalities graphically and symbolically
Polynomials and Quadratic Equations
- Representations of polynomials
- Sketching a graph of a quadratic equation in two variables using a table of solutions
- Identifying the intercepts and the vertex of a parabola