Algebra I Objectives
The mathematics learning experience Algebra 1 will build on their understanding of linear equations with one variable and linear functions in Pre-Algebra. Students in this course deepen their knowledge of multiple representations of data and situations. They will develop mathematical reasoning by using symbolic and visual representations including graphs, tables, verbal or written statements and algebraic equations to solve and communicate solutions in real-world situations. Students will achieve procedural fluency in the four major strands: Numbers & Operations; Algebraic Reasoning & Algebra, solving linear equations and inequalities, using them to solve real-world problems, and evaluating expressions; Functions, recognize functions and their families in real-world; and Data & Probability. Algebra 1 is the high school course to prepare students for Geometry and Algebra 2 concepts.
The following is the content that will be covered in PreAP Algebra I.
(Changes may be made according to the school schedule, considering school activities and possible snow days.)
UNIT1 UNIT 2 UNIT 3 UNIT 4 Real Number System Translating From Verbal Statements to Algebraic Equations Solving Equations with Variables on Both Sides Functions Combining Like Terms Writing and Graphing Inequalities Solving Compound Inequalities Linear Functions Evaluating Algebraic Expressions Solving Simple Equations Solving Absolute Value Equations & Inequalities Function Notation Property Tables Solving Inequalities Using Addition, Subtraction, Multiplication or Division
Literal Equations (Rewriting Equations and Formulas)
Graphing Linear Equations in Standard Form Non-Standard Operations Solving Multi-Step Equations and Inequalities Graphing Linear Equations in Slope-Intercept Form Transformations of Graphs of Linear Functions Graphing Absolute Value Functions Analyzing and Sketching Graphs
UNIT 6 UNIT 7 UNIT 8
Writing Equations in Slope-Intercept Form
Properties of Exponents Surface Area of Rectangular Prisms Measures of Center and Variation Writing Equations in Point-Slope Form Scientific Notation Surface Area of Cylinders Stem-and-Leaf Plots Writing Equations of Parallel and Perpendicular Lines Radicals and Rational Exponents Volumes of Rectangular Prisms Box-and-Whisker Plots Forms of Linear Equations Finding Squared and Cubed Roots Volumes of Cylinders Choosing a Data Display Scatter Plots and Lines of Fit Properties of Radicals Analyzing Lines of Fit Pythagorean Theorem & Converse Arithmetic Sequences Distance (beween two points) Exponential Functions Exponential Growth and Decay Solving Exponential Equations Geometric Sequences UNIT 9 UNIT 10 UNIT 11 Sample Spaces and Probability Solving Systems of Linear Equations by Graphing Adding and Subtracting Polynomials Simulations Solving Systems of Linear Equations by Elimination Multiplying Polynomials Independent and Dependent Events Solving Special Systems of Linear Equations Special Products of Polynomials Two-Way Tables and Probability Word Problems: Age, Money Factoing and Solving Quadratics (Coefficient = 1) Probability of Disjoint and Overlapping Events Solving Systems of Equations by Graphing Solving Quadratics Using Quadratic Formula Permutations and Combinations Graphing Linear Inequalities in Two Variables Binomial Distributions Systems of Linear Inequalities