Algebra I Topics
-
Expressions and Algebraic Operations
-
Polynomial operations
-
Polynomial applications
-
Naming polynomials
-
Literal equations
-
Dimensional analysis
-
-
Exponents and Radicals
-
Exponent operations
-
Radical simplification
-
Radical operations
-
-
Equations and Inequalities
-
Multi-step equations
-
Absolute value equations
-
Linear inequalities
-
Systems of inequalities
-
-
Systems of Equations
-
Graphing method
-
Substitution method
-
Elimination method
-
Word problem applications
-
-
Functions and Graphing
-
Function concepts
-
Function notation and evaluation
-
Linear vs nonlinear functions
-
Rate of change
-
Function transformations
-
Even and odd functions
-
-
Linear Functions
-
Slope formula
-
Writing linear equations
-
Graphing linear functions
-
Parallel and perpendicular lines
-
-
Quadratic Equations and Functions
-
Factoring (GCF, DOTS, grouping, trinomial)
-
Solving by square root
-
Completing the square
-
Quadratic formula
-
Quadratic inequalities
-
-
Quadratic function analysis
-
Standard, vertex, and factored forms
-
Transformations
-
Converting between forms
-
Graph characteristics
-
Quadratic word problems
-
-
Exponential Functions
-
Exponential graphs
-
Transformations
-
Exponential word problems
-
Compound interest applications
-
-
Sequences
-
Arithmetic sequences
-
Geometric sequences
-
-
Geometry Connections
-
Pythagorean Theorem
-
Angles
-
Triangle congruence
-
Trigonometric ratios
-
-
Understanding Data and Graphs
-
Reading and interpreting tables and graphs
-
Scatter plots and data patterns
-
Identifying trends and relationships in data
-
-
Correlation and Data Interpretation
-
Positive/Negative/No correlations
-
Correlation Coefficients
-
-
Linear Models and Data Relationships
-
Line of best fit
-
Interpreting slope and rate of change
-
Predicting values using linear models
-
Algebra 1 introduces students to the fundamental concepts of algebra and mathematical modeling. At Dr. Ahn Math & Learning Center, students develop strong problem-solving skills and learn how to analyze equations, functions, and real-world mathematical relationships. 6