Algebra I Program of Studies
Course Description:
The course involves writing, solving, and graphing linear and quadratic equations & inequalities, including systems. The course also includes study of monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratio, and proportion.
Measurement Topics:
Algebra: Expressions, Equations, & Inequalities (AEE)
Number Systems: Fractions, Decimals, & Percents (NSF)
Geometry: Coordinate System (GCS)
Geometry: Attributes & Properties (GAP)
Algebra: Interpreting Functions (AIF)
Prerequisite Learning Targets:
Prerequisite learning targets are essential for success in the course. It is suggested that students have met these learning targets prior to starting the course. Students will have the opportunity to gain or deepen mastery of these targets.
AEE1: Variable Expressions: Understands written expressions can be written as a numeric expression or equation.
AFA5: Order of Operations with Exponents: Understands how to use exponents to evaluate numerical expressions.
AIF1: Function Rules: Understand that a function is a rule that assigns to each input (domain) exactly one output (range). Understand the concepts behind rate of change, average rate of change, and initial value for a linear function with regards to the given situation it models.
NQN4: Rational Numbers: Is skilled at adding, subtracting, multiplying and dividing rational numbers.
AEE6: Manipulating Equations: Is skilled at adding, subtracting, factoring (numbers), & expanding (distributive property) linear expressions with rational coefficients using the properties of operations. (i.e. commutative, associative, etc.)
SPP1: Probability: Understands the chance of an outcome of a simple event.
Expected Learning Targets:
Students will have the opportunity to gain mastery of these learning targets.
AEE7: Multi-Step Equations: Understand the process for solving multi-step equations and inequalities. (using algebraic properties).
NSF14: Proportions: Is skilled at using proportional relationships to solve problems.
NSF13: Percents: Is skilled at finding the percent of a quantity.
GCS4: Pythagorean Theorem: Understands using coordinates to find perimeter of polygons and areas of triangles and rectangles. Understands using simple geometric theorems on a coordinate plane.
GAP13: Trigonometric Ratios: Is skilled at using trigonometric ratios, ratios for special right triangles, and the Pythagorean Theorem to solve right triangles in applied problems.
AEE3: Inequalities: Understands the solution to an inequality results in an infinite set of answers as plotted on a number line.
AIF8: Linear & Absolute Value Equations: Understand the relationship between the equations and the graphs of linear and absolute value functions.
AEE8: Solving Systems of Equations: Is skilled at solving systems of two linear equations through substitution or cancellation (elimination) with one solution, no solution or infinitely many solutions.
AEE9: Solving Systems of Inequalities: Is skilled at solving systems of two linear inequalities through graphing.
AIF10: Exponential Functions: Understand the relationship between the equations and the graphs of exponential growth and decay functions.
AEE10: Polynomials: Is skilled at performing operations on polynomials (add, subtract, multiply)
AEE11: Solving Quadratic Equations: Is skilled at solving a quadratic equation through factoring, quadratic formula, and technology.
AIF9: Graphing Quadratic Equations: Understand the relationship between the equations and the graphs of quadratic and square root functions.