Advanced Algebra 1 Course Description

 

Chapter 1: Connections to Algebra

 

            1.1: Variables in Algebra: PASS 1.2a, 2.8a, & 2.8b

            1.2: Exponents and Powers: PASS 2.8a & 3.1a

            1.3 Order of Operations: PASS 1.2a

            1.4: Equations and Inequalities: PASS 1.1 & 1.2a

‘           1.5: A problem solving plan using models: PASS  1.1 & 2.8b

            1.6: Tables and Graphs: PASS  3.1 a & 3.1 b

            1.7: An Introduction to Functions: PASS 2.1c, 2.1d, & 2.8a

 

Chapter 2: Properties of Real Numbers

           

2.1: The real number line: PASS 1.2a, 3.1b

            2.2: Addition of real numbers: PASS 1.2a & 2.8s

            2.3: Subtraction of real numbers: PASS 1.2a & 2.1d

            2.4: Adding and Subtracting matrices: PASS 3.1a

            2,5: Multiplication of real numbers: PASS 1.2a & 2.8b

            2.6: The Distributive property: PASS 1.2b & 2.8a

            2.7: Division of real numbers: PASS 1.2a, 2.1c & 2.8b

            2.8: Probability and Odds: PASS 2.8b

 

Chapter 3:Solving Linear Equations

 

            3.1: Solving Equations using Addition and Subtraction: PASS 1.1, 2.6a & 2.6c

            3.2: Solving Equations using Multiplication and Division: PASS 1.1, 2.6a, 2.8a

            3.3: Solving Multi-Step Equations: PASS 1.1, 2.6a, & 2.8a

            3.4: Solving Equations with variables on both sides: PASS 1.1 & 2.6a

            3.5: Linear Equations and Problem Solving: PASS 1.1, 2.6a, 2.8b, & 2.8b

            3.6: Solving Decimal Equations: PASS 1.1, & 2.6a

            3.7: Formulas and Functions: PASS 2.1d, 2.8a, & 2.8d

            3.8: Rates, Ratios, and Percents

 

 

Chapter 4: Graphing Linear Equations and Functions

 

              4.1: Coordinates and Scatter Plots

             4.2: Graphing Linear Equations

             4.3: Quick graphs using Intercepts

             4.4: The Slope of a Line

             4.5: Direct Variation

            4.6: Quick graphs using Slope Intercept Form

            4.7: Solving Linear equations using graphs

            4.8: Functions and Relations

 

Chapter 5: Writing Linear Equations

 

          5.1: Writing Linear Equations in Slope-Intercept Form

          5.2: Writing Linear equations given the slope and a point

          5.3: Writing Linear Equations given two points

          5.4: Fitting data to a line

          5.5: Point-Slope form of a linear equation

          5.6: The Standard Form of a Linear Equations

           5.7: Predicting Linear Models

 

 

Chapter 6: Solving and Graphing Linear Inequalities

 

          6.1: Solving One-step linear inequalities

          6.2: Solving Multi-step linear inequalities

          6.3: Solving Compound Inequalities

          6.4: Solving Absolute value equations and inequalities

          6.5: Graphing Linear inequalities in two variables

          6.6: Stem and Leaf Plots, Mean, Median, & Mode

          6.7: Box and Whisker Plots

 

 

Chapter 7: Systems of Linear Equations and Inequalites

 

        7.1: Solving Linear systems by Graphing

        7.2: Solving Linear systems by Substitution

         7.3: Solving Linear systems by Linear Combinations

         7.4: Applications of Linear Systems

         7.5: Special Types of Linear Systems

         7.6: Solving systems of Linear Inequalitites

 

 

Chapter 8: Exponents and Exponential Functions

 

         8.1: Multiplication Properties of Exponents

         8.2: Zero and Negative Exponents

         8.3: Division Properties of Exponents

         8.4: Scientific Notation

         8.5: Exponential Growth Functions

         8.6:: Exponential Decay Functions

 

 

Chapter 9: Quadratic Equations and Functions

 

         9.1: Solving quadratic equations by finding square roots

         9.2: Simplifying Radicals

         9.3: Graphing  quadratic functions’

         9.4: Solving quadratic equations by graphing

         9.5: Solving quadratic equations using the Quadratic Formula

         9.6: Applications of the Discriminant

         9.7: Graphing Quadratic Inequalities

         9.8: Comparing Linear, Exponential, and Quadratic Models

 

 

Chapter 10: Polynomials and Factoring

 

            10.1: Adding and Subtracting Polynomials

            10.2: Multiplying Polynomials

            10.3: Special Products of Polynomials

            10.4: Solving Polynomial Equations in Factored Form

            10.5: Factoring x˛ + bx + c

            10.6: Factoring ax˛ + bx + c

            10.7: Factoring Special  Products

            10.8: Factoring and Using Distributive Property

 

Chapter 11: Rational Equations and Functions

 

            11.1:  Ratio and Proportions

‘           11.2  Percents

            11.3: Direct and Inverse Variation

            11.4: Simplifying Rational Expressions

            11.5: Multiplying and Dividing Rational Expressions

            11.6: Adding and Subtracting Rational Expressions

            11.7:   Dividing Polynomials

            11.8:  Rational Equations and Functions

 

 

 

Chapter 12: Radicals and Connections to Geometry

 

             12.1:  Functions involving Square Roots

             12.2: Operations with Radicals

             12.3: Solving Radical Equations

             12.4: Completing the Square

             12.5: The Pythagorean Theorem and its Converse

             12.6: The Distance and Midpoint Formulas

             12.7: Trigonometric Ratios