## Mathematics Courses

Introduction

For years I have been composing and refining an Algebra One and Algebra Two curriculum that I am glad to share with all of you. You are welcome to use these files in any way that you would like - even download them to use as your primary textbook for your school's math courses. I have been teaching classes "without a textbook" using these documents through a problem-solving based approach to instruction and I am currently working on a next draft of these files to be considered for publication as a textbook in the coming years. If you choose to use these files in your classroom any feedback that you can send me via email along the way would be much appreciated.

To view all of the files listed below go to my "Elizalde Public Dropbox Folder" at the link provided below:

https://www.dropbox.com/sh/7dzpbu094gn3xy3/AAAGe8B6CQm_PcPLa7lmQ60Ea?dl=0

Note that nearly every unit of study includes a UNIT PLAN composed of the following elements: knowledge, skills, essential questions, enduring understanding, vocabulary, core problems, and a recommended pacing guideline for scheduling individual lessons.

Algebra One

Semester One

UNIT A1 01 | Rules of Arithmetic and Algebra

A1 01 00 UNIT PLAN: Rules of Arithmetic and Algebra

A1 01 01 Evaluating Expressions

A1 01 02 Order of Operations

A1 01 03 An Introduction to Rules of Arithmetic

A1 01 04 Naming the Rules of Arithmetic

A1 01 05 Defining the Rules of Arithmetic

A1 01 06 Justifying Algebraic Statements

A1 01 07 QUIZ: Evaluating Expressions and Naming Rules of Arithmetic

A1 01 08 Multiplication and the Distributive Rule

A1 01 09 Simplifying Algebraic Expressions

A1 01 10 Evaluating Algebraic Expressions

A1 01 11 Proofs Using Rules of Arithmetic and Algebra

A1 01 12 The Problem with Zero

A1 01 13 Mixed Review

A1 01 14 TEST: Rules of Arithmetic and Alge

UNIT A1 02 | Exponents and Radicals and Types of Numbers

A1 02 00 UNIT PLAN: Exponents and Radicals and Types of Numbers

A1 02 01 Evaluating and Simplifying Expressions Containing Positive Exponents

A1 02 02 Extended Practice Simplifying with Positive Exponents

A1 02 03 QUIZ Evaluating and Simplifying Expressions with Positive Exponents

A1 02 04 Integer Exponents

A1 02 05 Evaluating and Simplifying Expressions with Integer Exponents

A1 02 06 Introduction to Applications of Exponents

A1 02 07 Square Roots and Cube Roots

A1 02 08 Approximating and Simplifying Square Roots

A1 02 TEST Exponents and Radicals

UNIT A1 03 | Solving Linear Equations

A1 03 00 UNIT PLAN: Solving Linear Equations

A1 03 01 Introduction to Equation Solving

A1 03 02 Using Bar Models to Solve Linear Equations

A1 03 03 Solving Multi-Step Linear Equations

A1 03 04 Strategies for Handling Decimals and Fractions

A1 03 05 Solving Linear Equations with Integer Exponents

A1 03 06 Applications of Linear Equations

A1 03 07 Equations with No Solution or Infinitely Many Solutions

A1 03 08 Mixed Review

A1 03 09 TEST: Solving Linear Equations

UNIT A1 04 | Solving Other Kinds of Equations

A1 04 00 UNIT PLAN: Solving Other Kinds of Equations

A1 04 01 Solving for Boxes Part I

A1 04 02 Solving for Boxes Part II

A1 04 03 Solving Other Kinds of Equations

A1 04 04 Applications

A1 04 05 TEST: Solving Other Kinds of Equations

UNIT A1 05 | Graphing Relations

A1 05 00 UNIT PLAN: Graphing Relations

A1 05 01 Introduction to Graphing Relations

A1 05 02 Graphing Basic Relations

A1 05 03 Graphing Lines

A1 05 04 Graphing Absolute Value and Parabolas

A1 05 05 Graphing Lines Square and Cubes

A1 05 06 TEST: Graphing Relations

Semester Two

UNIT A1 06 | Properties of Linear Equations

A1 06 00 UNIT PLAN: Properties of Linear Equations

A1 06 01 Locating Intercepts

A1 06 02 Slope as a Constant Rate of Change

A1 06 03 Linear Equations Given Two Points

A1 06 04 QUIZ: Linear Equations

A1 06 05 Parallel and Perpendicular Lines

A1 06 06 Mixed Review

A1 06 07 TEST: Linear Equations

UNIT A1 07 | Systems of Linear Equations

A1 07 00 UNIT PLAN: Systems of Linear Equations

A1 07 01 Solving Linear Systems by Graphing

A1 07 02 Solving Linear Systems by Substitution

A1 07 03 Solving Linear Systems by Linear Combination

A1 07 04 Mixed Review

A1 07 05 Writing and Solving Linear Systems

A1 07 06 TEST: Systems of Linear Equations

UNIT A1 08 | Linear Inequalities

A1 08 00 UNIT PLAN: Linear Inequalities

A1 08 01 Introduction to Linear Inequalities in One Dimensions

A1 08 02 Solving Linear Inequalities and Flipping the Sign

A1 08 03 Graphing Linear Inequalities in Two Dimensions

A1 08 04 Introduction to Graphing a System of Inequalities

A1 08 05 QUIZ: Graphing Linear Inequalities in One and Two Dimensions

A1 08 06 Graphing Systems of Linear Inequalities

A1 08 07 Introduction to Linear Programming

A1 08 08 TEST: Linear Inequalities

UNIT A1 09 | Binomial Expansion and Factors

A1 09 00 UNIT PLAN: Binomial Expansion and Factors

A1 09 01 Products of Monomials and Polynomials and Factoring Out the GCF

A1 09 02 Products of Binomials and Factoring Trinomials by Guess then Check

A1 09 03 Products of Polynomials

A1 09 04 Special Products of Polynomials and Factoring Special Forms

A1 09 05 Products of Three or More Polynomials

A1 09 06 Powers of Binomials and Pascal's Triangle

A1 09 07 Mixed Review

A1 09 08 TEST: Binomial Expansion and Factors

UNIT A1 10 | Quadratics

A1 10 00 UNIT PLAN: Quadratics

A1 10 01 Solving a Quadratic by Isolating the Squared Term

A1 10 02 Determining Possible Factors Given a Product

A1 10 03 Solving Quadratic Equations by Factoring

A1 10 04 Factoring by Grouping

A1 10 05 Solving Quadratics by Completing the Square

A1 10 06 The Quadratic Formula

A1 10 07 Applications of Quadratic Equations

A1 10 08 Mixed Review

A1 10 09 TEST: Quadratics

Algebra Two

Semester One

UNIT A2 01 | Linear Equations and Inequalities

A2 01 00 UNIT PLAN: Linear Equations and Inequalities

A2 01 01 Solving a Linear Equation

A2 01 02 Graphing Linear Functions

A2 01 03 Solving a Linear System by Graphing

A2 01 04 Solving a Linear System by Substitution

A2 01 05 QUIZ: Writing and Graphing Lines

A2 01 06 Solving a Linear System by Linear Combination

A2 01 07 Graphing Linear Inequalities in One and Two Dimensions

A2 01 08 Graphing a System of Linear Inequalities

A2 01 09 TEST: Linear Equations and Inequalities

UNIT A2 02 | Polynomial Algebra

A2 02 00 UNIT PLAN: Polynomial Algebra

A2 02 01 Adding and Subtracting Polynomials

A2 02 02 Positive Integer Exponents and Zero as an Exponent

A2 02 03 Multiplying Polynomials

A2 02 04 Binomial Expansion and Pascal's Triangle

A2 02 05 Factoring Out the Greatest Common Factor

A2 02 06 TEST: Polynomial Algebra

UNIT A2 03 | Quadratic Equations

A2 03 00 UNIT PLAN: Quadratic Equations

A2 03 01 Evaluating and Simplifying Radical Expressions

A2 03 02 Solving Quadratics by Isolating the Squared Term

A2 03 03 Setting Factors Equal to Zero

A2 03 04 Perfect Square Trinomials

A2 03 05 Completing the Square

A2 03 06 Completing the Square when the Coefficient of x^2 is Not One

A2 03 07 Deriving the Quadratic Formula

A2 03 08 The Discriminant and Solutions to Quadratics

A2 03 09 Applications of Quadratic Equations

A2 03 10 Mixed Practice Solving Quadratic Equations

A2 03 11 TEST: Quadratic Equations

UNIT A2 04 | Quadratic Functions

A2 04 00 UNIT PLAN: Quadratic Functions

A2 04 01 Introduction to Quadratic Functions

A2 04 02 Translations of Quadratic Functions

A2 04 03 Dilations and Reflections of Quadratic Functions

A2 04 04 QUIZ Simple Transformations of Quadratic Functions

A2 04 05 Drawing and Describing Transformations

A2 04 06 Describing Quadratics Given in Various Forms

A2 04 07 A Review of Drawing and Describing Quadratic Functions

A2 04 08 Applications of Quadratics

A2 04 09 TEST: Quadratic Functions

UNIT A2 05 | Polynomial Equations and Inequalities

A2 05 00 UNIT PLAN: Polynomial Equations

A2 05 01 Long Division with Polynomials

A2 05 02 Long Division as a Means of Factoring

A2 05 03 Facto Solve and Graph Challenge Set

A2 05 04 Solving Polynomial Equations

A2 05 05 TEST: Polynomial Equations

Semester Two

UNIT A2 06 | Rational Algebraic Expressions and Equations

A2 06 00 UNIT PLAN: Rational Algebraic Expressions and Equations

A2 06 01 Review of Arithmetic with Fractions and Mixed Numbers

A2 06 02 Multiplying and Dividing Rational Algebraic Expressions

A2 06 03 Adding and Subtracting Like Rational Algebraic Expressions

A2 06 04 Adding and Subtracting Unlike Rational Algebraic Expressions

A2 06 05 Simplifying Compound Rational Algebraic Expressions

A2 06 06 Rational Algebraic Equations - DRAFT

A2 060 7 TEST: Rational Algebraic Expressions

UNIT A2 07 | Radical Expressions and Equations

A2 07 00 UNIT PLAN: Radical Expressions and Equations

A2 07 01 Evaluating and Simplifying Roots of Perfect Squares and Cubes

A2 07 02 Simplifying Radical Algebraic Expressions

A2 07 03 Using Radicals to Solve Equations

A2 07 04 Solving Radical Equations

A2 07 05 TEST: Radical Expressions and Equations

UNIT A2 08 | Exponents

A2 08 00 UNIT PLAN: Exponents

A2 08 01 Integer Exponents

A2 08 02 Rational Exponents

A2 08 03 Solving Simple Exponential Equations

A2 08 04 Graphing Exponential Functions

A2 08 05 Modeling with Exponential Functions

A2 08 06 Mixed Review

A2 08 07 TEST: Exponents and Exponential Functions

UNIT A2 09 | Logarithms

A2 09 00 UNIT PLAN: Logarithms

A2 09 01 Defining and Evaluating Logarithms

A2 09 02 Properties of Logarithms

A2 09 03 Solving Logarithmic Equations

A2 09 04 Using Logarithms to Solve Exponential Equations

A2 09 05 Modeling with Exponential Functions Revisited

A2 09 06 TEST: Logarithms

UNIT A2 10 | Right Triangle Trigonometry

A2 10 00 UNIT PLAN: Right Triangle Trigonometry

A2 10 01 The Pythagorean Theorem

A2 10 02 Special Right Triangles

A2 10 03 Sine and Cosine as Lengths

A2 10 04 Sine and Cosine and Tangent as Ratios

A2 10 05 Inverse of Trigonometric Ratios

A2 10 06 Applications of Right Triangle Trigonometry

A2 10 07 TEST: Right Triangle Trigonometry