Grade Ninth Math

Grade Ninth Math (Algebra I)

Master foundational high school mathematics with comprehensive Algebra I lessons covering linear, quadratic, and exponential functions, systems of equations, polynomial operations and factoring, radical and rational expressions, and bivariate statistics. Build strong algebraic reasoning and prepare for advanced mathematics courses.

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Numbers and Operations

Master real numbers, properties, and operations with complex expressions.

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Expressions

Simplify and evaluate algebraic expressions using properties and order of operations.

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Solve Linear Equations

Solve multi-step linear equations including those with rational coefficients.

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Geometry and Measurement

Apply algebraic methods to geometric measurement and problem-solving.

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Problem Solving with Units

Convert units and solve dimensional analysis problems algebraically.

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Solve Linear Inequalities

Solve and graph linear inequalities including compound inequalities.

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Sets

Understand set notation, operations, and Venn diagrams in problem-solving.

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Absolute Value Equations and Inequalities

Solve absolute value equations and inequalities algebraically and graphically.

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Coordinate Plane

Graph points, lines, and equations in the Cartesian coordinate system.

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Direct and Inverse Variation

Understand and model direct variation (y = kx) and inverse variation (y = k/x).

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Slope

Calculate slope from graphs, tables, and points; interpret as rate of change.

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Linear Equations

Write and graph linear equations in slope-intercept, point-slope, and standard forms.

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Function Concepts

Master function notation, domain, range, and function evaluation.

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Linear Functions

Analyze, graph, and interpret linear functions in multiple representations.

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Systems of Linear Equations

Solve systems using graphing, substitution, and elimination methods.

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Two-Variable Linear Inequalities

Graph linear inequalities in two variables and solve systems of inequalities.

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Piecewise-Defined Functions

Evaluate, graph, and interpret piecewise-defined functions.

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Integer Exponents

Apply properties of integer exponents to simplify expressions.

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Rational Exponents

Convert between radical and rational exponent notation; simplify expressions.

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Scientific Notation

Perform operations with numbers in scientific notation; solve real-world problems.

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Sequences

Analyze arithmetic and geometric sequences; write recursive and explicit formulas.

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Exponential Functions

Graph, analyze, and apply exponential growth and decay functions.

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Polynomials

Add, subtract, multiply polynomials; understand polynomial structure and degree.

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Factor Polynomials

Factor polynomials using GCF, grouping, and special product patterns.

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Quadratic Functions

Graph parabolas; identify vertex, axis of symmetry, and intercepts.

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Quadratic Equations

Solve quadratics by factoring, completing the square, and quadratic formula.

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Linear, Quadratic, and Exponential Functions

Compare and contrast properties of linear, quadratic, and exponential functions.

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Absolute Value Functions

Graph and analyze absolute value functions and their transformations.

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Function Operations

Perform operations on functions: addition, subtraction, multiplication, division, composition.

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Function Transformations

Apply transformations: translations, reflections, stretches, and compressions.

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Radical Expressions

Simplify, add, subtract, multiply, and divide radical expressions.

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Radical Functions and Equations

Graph radical functions and solve radical equations algebraically.

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Rational Functions and Expressions

Simplify rational expressions; graph rational functions; identify asymptotes.

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Data and Graphs

Display, interpret, and analyze data using various graphical representations.

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Single-Variable Statistics

Calculate and interpret measures of center, spread, and position.

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Bivariate Statistics

Analyze scatter plots, correlation, and linear regression models.

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Probability

Calculate theoretical and experimental probabilities of simple and compound events.

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Matrices

Perform matrix operations and use matrices to solve systems of equations.

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Algebra I Critical Focus Areas

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Linear Functions

Master slope, linear equations in multiple forms, systems, and inequalities

Quadratic Functions

Factor, solve, and graph quadratics using multiple methods and forms

Exponential Functions

Understand exponent rules, scientific notation, and exponential growth/decay

Master Algebra I and Excel in High School Mathematics

Build proficiency in linear, quadratic, and exponential functions, systems of equations, polynomial operations and factoring, radical and rational expressions, and statistical modeling through comprehensive lessons aligned with Common Core State Standards for Algebra I. Prepare for advanced mathematics courses including Geometry and Algebra II.