Algebra I

Algebra I Scope & Sequence

Unit 1 Equations

1.1 Introduction to Equations
1.2 Solving Equations - Adding & Subtracting
1.3 Solving Equations - Multiplying & Dividing
1.4 Two Step Equations
1.5 Multistep & Distributive Part I
1.6 Multistep & Distributive Part II
1.7 Equations with Multiple Variables
1.8 Solving Percent Equations
1.9 More Applications
1.10 Rational & Irrational Numbers

Unit 2 Linear Functions

2.1 Introduction to Linear Functions
2.2 Graphing Coordinate Point
2.3 Relations and Linear Functions Pt I
2.4 Relations and Linear Functions Pt II
2.5 Direct Variation
2.6 Slope & Rate of Change
2.7 Calculating Slope
2.8 Slope-Intercept Form
2.9 X and Y Intercepts & Standard Form
2.10 Calculate Slope using dydx and Intercepts
2.11 Equation of a Line
2.12 Special Lines
2.13 Cost vs Time Functions
2.14 Distance vs Time
2.15 Inverse Functions

Unit 3 Inequalities & Absolute Value Functions

3.1 Introduction to Inequalities & Absolute Value Functions
3.2 Writing Solution Sets
3.3 Graphing 1D
3.4 Solving Multistep Inequalities
3.5 Compound Inequalities
3.6 Solving Compound Inequalities
3.7 Inequalities in 2D
3.8 Absolute Value
3.9 Graphing Absolute Value Functions

Unit 4 Exponential Functions

4.1 Introduction to Exponents
4.2 The Product Property
4.3 The Quotient Property
4.4 Zero and Negative Exponents
4.5 Fractional Exponents
4.6 Power of a Power Property
4.7 Power of a Product Property
4.8 Power of a Fraction
4.9 Order of Operations with Exponents – Numeric
4.10 Simplifying Algebraic Expressions with Exponents
4.11 Scientific Notation Part I
4.12 Scientific Notation Part II
4.13 Scientific Notation Part III
4.14 Exponential Decay
4.15 Exponential Growth
4.16 Graphing Exponential Functions

Unit 5 Polynomials

5.1 Introduction to Inequalities
5.2 Adding Polynomials
5.3 Subtracting Polynomials
5.4 Adding & Subtracting Polynomials With More Than One Variable
5.5 Multiplying Polynomials
5.6 Common Factoring
5.7 Factoring Polynomials Using The GCF
5.8 Factoring Perfect Square Trinomials
5.9 Factoring Difference Of Squares
5.10 Factoring Trinomials
5.11 Solving Equations Using Factoring
5.12 Graphing The Cubic Function

Unit 6 Quadratic Functions

6.1 Introduction To Quadratic Functions
6.2 Graphing Quadratic Functions
6.3 Graphing Quadratic Function - Vertex Form
6.4 Solving Equations with Square Roots
6.5 Solving by Completing the Square
6.6 Converting Quadratic Functions Into Vertex Form Using Completing the Square
6.7 The Quadratic Formula
6.8 Complex Numbers
6.9 Complex Solutions
6.10 Graphing Quadratic Inequalities
6.11 Applications Of Quadratics

Unit 7 Rational Functions

7.1 Introduction to Rational Functions
7.2 Simplifying Rational Expressions
7.3 Adding & Subtracting Rational Expressions
7.4 Multiplying Rational Expressions
7.5 Dividing Rational Expressions
7.6 Solving Rational Equations
7.7 Graph of a Rational Function

Unit 8 Radical Functions

8.1 Introduction to Radical Functions
8.2 Prime Factors
8.3 Square Roots
8.4 Simplifying Numerical Radicals
8.5 Simplifying Algebraic Radicals
8.6 Adding & Subtracting Radicals
8.7 Multiplying Radicals
8.8 Dividing Radicals
8.9 Solving Radical Equations
8.10 Graphing Radical Functions
8.11 Piecewise Functions
8.12 Step Functions

Unit 9 Transformations

9.1 Introduction to Transformations
9.2 Domain of Parent Functions
9.3 Range of Parent Functions
9.4 Translations
9.5 Reflections
9.6 Vertical Stretches & Compressions
9.7 Horizontal Stretches & Compressions
9.8 Summary on Transformations
9.9 Multiple Transformations

Unit 10 Systems of Equations & Inequalities

10.1 Introduction to Systems of Linear Equations & Inequalities
10.2 Graphing Systems of Linear Equations
10.3 Graphing Inequalities
10.4 Graphing Systems of Inequalities
10.5 Evaluating Expressions using Substitution
10.6 Solving a System of Equations by Substitution
10.7 Solving Systems of Equations by Elimination
10.8 Identifying Types of Systems using Equations
10.9 Writing an Equation
10.10 Applications of Systems of Equations & Inequations
10.11 Systems of Linear and Quadratic Equations
10.12 Systems of Non-Linear Equations

Unit 11 Trigonometry

11.1 Introduction to Trigonometry
11.2 Sine Ratio
11.3 Cosine Ration
11.4 Tangent Ratio
11.5 Graphing the Sine Function
11.6 Graphing the Cosine Function

Unit 12 Sequences

12.1 Introduction to Series and Patterns
12.2 Sequences and Series
12.3 Arithmetic Sequences
12.4 Geometric Sequences

Unit 13 Statistics

13.1 Introduction to Statistics
13.2 Histograms
13.3 Measures of Central Tendency Part I
13.4 Measures of Central Tendency Part II
13.5 Scatter Plots
13.6 Box-and-Whisker Plots
13.7 Mean Deviation
13.8 Standard Deviation

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