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Algebra 1 Principals of Secondary Math

About: Algebra 1: Principles in Secondary Mathematics challenges students to continue building in-depth knowledge in preparation for a more advanced study of math. Core algebraic topics and objectives are presented and addressed as students become fluent in mathematical language, problem styles, and problem-solving and reasoning skills.

Algebra 1: Principles in Secondary Mathematics Digital Pack includes: Lifetime access to Algebra 1:PSM streaming instruction videos and online Instruction Manual, lesson solutions, Skip Count Songs MP3s and Songbook PDFs, and other online resources from any browser. You’ll also have access to the Math-U-See Virtual Manipulatives. Access begins at time of online purchase or redemption of access code.

Note: Digital Packs do not include Student Workbook or Tests. (sold separately)

Major Concepts and Skills Include:

Solving equations and inequalities
Writing and graphing linear equations
Solving systems of equations and inequalities
Factoring polynomials
Graphing nonlinear equations

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Course Content

Getting Started

Lesson 1 – The Language of Algebra, Part A: Real Numbers

Lesson 1 – The Language of Algebra, Part B: Algebraic Properties

Lesson 2 – Solving Equations, Part A: Multi-Step Equations

Lesson 2 – Solving Equations, Part B: Equations with Special Cases

Lesson 3 – Solving Absolute Value Equations, Part A: Absolute Value Equations

Lesson 3 – Solving Absolute Value Equations, Part B: Multi-Step Absolute Value Equations

Lesson 4 – Solving Inequalities, Part A: Single-Variable Inequalities

Lesson 4 – Solving Inequalities, Part B: Compound Inequalities

Lesson 5 – Ratios, Proportions, and Rates, Part A: Ratios and Proportions

Lesson 5 – Ratios, Proportions, and Rates, Part B: Unit Conversions

Lesson 6 – Understanding Data, Part A: Data Calculations

Lesson 6 – Understanding Data, Part B: Interpreting Data

Lesson 7 – Functions, Part A: Relations and Functions

Lesson 7 – Functions, Part B: Understanding Functions

Lesson 8 – Using Graphs, Part A: Intercepts and Slope from a Graph

Lesson 8 – Using Graphs, Part B: Translating the Linear Parent Function

Lesson 9 – Slope and Linear Functions, Part A: Slope and Graphed Scenarios

Lesson 9 – Slope and Linear Functions, Part B: Point-Slope Form and Slope-Intercept Form

Lesson 10 – Writing Linear Equations, Part A: Writing Equations in Slope-Intercept Form

Lesson 10 – Writing Linear Equations, Part B: Applications of Linear Equations

Lesson 11 – More Forms of Lines, Part A: Standard Form

Lesson 11 – More Forms of Lines, Part B: Horizontal and Vertical Lines

Lesson 12 – Parallel and Perpendicular Lines, Part A: Parallel Lines

Lesson 12 – Parallel and Perpendicular Lines, Part B: Perpendicular Lines

Lesson 13 – Scatter Plots, Part A: Correlation and Scatter Plots

Lesson 13 – Scatter Plots, Part B: Line of Best Fit

Lesson 14 – Types of Functions and Arithmetic Sequences, Part A: Continuous and Discrete Functions

Lesson 14 – Types of Functions and Arithmetic Sequences, Part B: Arithmetic Sequences

Lesson 15 – Graphing Systems, Part A: Graphing Systems of Equations

Lesson 15 – Graphing Systems, Part B: Graphing Systems of Inequalities

Lesson 16 – Solving Systems Algebraically, Part A: Solving Systems Using Substitution

Lesson 16 – Solving Systems Algebraically, Part B: Solving Systems Using Elimination

Lesson 17 – Applications of Linear Systems, Part A: Efficiently Solving Systems

Lesson 17 – Applications of Linear Systems, Part B: Applications of Linear Systems

Lesson 18 – More Applications of Linear Systems, Part A: More Applications of Linear Systems

Lesson 18 – More Applications of Linear Systems, Part B: Applications of Linear Inequalities

Lesson 19 – Product Rules for Exponents, Part A: Product and Power Rules for Exponents

Lesson 19 – Product Rules for Exponents, Part B: Applications of Exponent Rules 1-3

Lesson 20 – Polynomial Expressions, Part A: Simplifying and Classifying Polynomials

Lesson 20 – Polynomial Expressions, Part B: Products of Polynomials

Lesson 21 – Introduction to Factoring Polynomials, Part A: Greatest Common Monomial Factors

Lesson 21 – Introduction to Factoring Polynomials, Part B: Factoring By Grouping

Lesson 22 – Patterns in Factoring, Part A: Patterns in Factoring

Lesson 22 – Patterns in Factoring, Part B: Factoring Special Products

Lesson 23 – Factoring Polynomials, Part A: Factoring x2 + bx + c

Lesson 23 – Factoring Polynomials, Part B: Factoring ax2 + bx + c

Lesson 24 – More Factoring, Part A: Factoring Completely

Lesson 24 – More Factoring, Part B: Solving Polynomial Equations Equal to Zero

Lesson 25 – Applications of Quadratics, Part A: Solving Quadratic Equations Not Equal to Zero

Lesson 25 – Applications of Quadratics, Part B: Quadratic Applications

Lesson 26 – Graphing Quadratics, Part A: Graphing Quadratics

Lesson 26 – Graphing Quadratics, Part B: Graphical Solutions to Quadratic Functions

Lesson 27 – More Quadratic Graphing, Part A: Quadratic Inequalities

Lesson 27 – More Quadratic Graphing, Part B: Quadratics in Vertex Form

Lesson 28 – More Exponent Rules, Part A: Negative Exponents and Zero Exponents

Lesson 28 – More Exponent Rules, Part B: Quotient Rules for Exponents

Lesson 29 – Radical Expressions and Equations, Part A: Radical Expressions

Lesson 29 – Radical Expressions and Equations, Part B: Radical Expressions

Lesson 30 – Exponential Functions, Part A: Modeling Exponential Functions

Lesson 30 – Exponential Functions, Part B: The Growth / Decay Formula

Lesson Extension 1 – Completing the Square

Lesson Extension 2 – The Quadratic Formula and the Discriminant

Lesson Extension 3 – Graphing Linear and Quadratic Systems