The Classical Caveman | A Project of Andrew Elizalde © 2018
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