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Algebra 1
Unit 1: Foundations for Algebra
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1.1: Variables & Expressions
1.2 Order of Operations
1.3: Real Numbers & The Number Line
1.4: Properties of Real Numbers
1.5 Addition & Subtraction
1.6 Multiplication & Division
1.7 The Distributive Property
Unit 2: Solving Equations
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2.0 What is an Equation?
2.1 One-Step Equations
2.2 Two-Step Equations
2.3 Multi-Step Equations
2.4 Variables on Both Sides
2.5 Literal Equations & Formulas
2.6 Ratios, Rates, Conversions
2.7 Solving Proportions
2.8 Percent Proportion Problems
Unit 3: Solving Inequalities
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3.0 What is an Inequality?
3.1 Graphs of Inequalities
3.2 Addition & Subtraction Inequalities
3.3 Multiplication & Division Inequalities
3.4 Multi-Step Inequalities
3.5 Working with Sets
3.6 Compound Inequalities
3.7 Absolute Value Equations & Inequalities
3.8 Unions & Intersections of Sets
Geometry
Unit 1: Tools of Geometry
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1.1 Nets & Drawings
1.2 Points, Lines, Planes
1.3 Measuring Segments
1.4 Measuring Angles
1.5 Exploring Angle Pairs
1.6 Basic Constructions
1.7 Midpoint & Distance
1.8 Perimeter, Circumference, Area
Unit 2: Reasoning & Proof
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2.1 Patterns & Inductive Reasoning
2.2 Conditional Statements
2.3 Biconditionals
2.4 Deductive Reasoning
2.5 Reasoning in Algebra & Geometry
2.6: Proving Angles Congruent
Unit 3: Parallel/Perpendicular Lines
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3.1 Lines & Angles
3.2 Properties of Parallel Lines
3.3 Proving Lines are Parallel
3.4 Parallel and Perpendicular Lines
3.5 Parallel Lines & Triangles
3.6 Constructing Parallel & PerpendicularLines
3.7 Equations of Lines
3.8 Slopes of Parallel & Perpendicular Lines
Unit 4: Congruent Triangles
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4.1 Congruent Figures
4.2 Triangle Congruence: SSS & SAS
4.3 Triangle Congruence: ASA & AAS
4.4: CPCTC
4.5: Isosceles & Equilateral Triangles
4.6: Congruence in Right Triangles
4.7: Congruence in Overlapping Triangles
Unit 5: Relationships in Triangles
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5.1: Midsegments of Triangles
5.2: Perpendicular & Angle Bisectors
5.3: Bisectors in Angles
5.4: Medians & Altitudes
5.5: Indirect Proof
5.6: Inequalities in 1 Triangle
5.7: Inequalities in 2 Triangles
Unit 6: Quadrilaterals & Polygons
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6.1: Angle-Sum Theorems
6.2: Properties of Parallelograms
6.3: Proving Parallelograms
6.4: Properties of Special Quads
6.5: Conditions of Special Quads
6.6: Trapezoids & Kites
6.7: Polygons in the Coordinate Plane
6.8: Applying Coordinate Geometry
6.9: Proofs Using Coordinate Geometry
Unit 7: Similarity
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7.1: Ratios & Proportions
7.2: Similar Polygons
7.3: Proving Triangles Similar
7.4: Similarity in Right Triangles
7.5: Proportions in Triangles
Unit 8: Right Triangles & Trigonometry
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8.1: Pythagorean Thm
8.2: Special Right Triangles
8.3: Trigonometry
8.4: Angles of Elevation and Depression
8.5: Laws of Sines
8.6: Laws of Cosines
Unit 9: Transformations
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9.1: Translations
9.2: Reflections
9.3: Rotations
9.4: Composition of Isometries
9.5: Congruence Transformations
9.6: Dilations
9.7: Similarity Transformations
Unit 10: Area
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10.1: Area of Parallelograms & Triangles
10.2: Area - Trapezoids, Rhombuses, Kites
10.3: Area of Regular Polygons
10.4: Perimeters & Areas of Similar Figures
10.5: Trig & Area
10.6: Circles & Arcs
10.7: Area of Circles & Sectors
10.8: Geometric Probability
Algebra 2
1.0 Expressions, Equations, Inequalities
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1.1 Patterns & Expressions
1.2 Properties of Real Numbers
1.3 Algebraic Expressions
1.4 Solving Equations
1.5 Solving Inequalities
1.6 Absolute Value Eqns & Inequalities
2.0 Linear Functions
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2.1 Relations & Functions
2.2 Direct Variation
2.3 Slope-Intercept Form
2.4 Point-Slope Form
2.5 Real World Linear Functions
2.6 Families of Functions
2.7 Absolute Value Functions
2.8 Two-Variable Inequalities
3.0 Linear Systems
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3.1 Solving Systems by Graphing
3.2 Solving Systems Algebraically
3.3 Systems of Inequalities
3.4 Linear Programming
3.5 Systems with 3 Variables
3.6 Solving Systems Using Matrices
4.0 Quadratic Functions & Equations
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4.1 Quadratic Functions & Transformations
4.2 Standard Form of a Quadratic
4.3 Modeling with Quadratic Functions
4.4 Factoring Quadratic Expressions
4.5 Solving Quadratic Equations
4.6 Completing the Square
4.7 The Quadratic Formula
4.8 Complex Numbers
4.9 Quadratic Systems
5.0 Polynomials
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5.1 Polynomial Functions
5.2 Finding Zeros
5.3 Solving Polynomial Equations
5.4 Dividing Polynomials
5.5 Two Theorems
5.6 The Fundamental Thm of Algebra
6.0 Radicals
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6.1 Roots & Radical Expressions
6.2 Multiplying & Dividing Radicals
6.3 Binomial Radical Expressions
6.4 Radical Exponents
6.5 Solving Radical Equations
6.6 Function Operators
6.7 Inverse Relations & Functions
6.8 Graphing Radical Functions
7.0 Exponential & Logarithmic Fns.
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7.1 Exploring Exponential Functions
7.2 Properties of Exponential Fns
7.3 Logarithmic Fns
7.4 Properties of Logarithms
7.5 Exponential & Logarithmic Fns
7.6 Natural Logarithms
8.0 Rational Functions
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8.1 Inverse Variation
8.2 Reciprocal Fn Family
8.3 Rational Functions
8.4 Rational Expressions
8.5 Adding & Subtracting Rational Expressions
8.6 Solving Rational Equations
Algebra
Unit 3: Solving Inequalities
Lesson 3.0: What is an Inequality and How Can We Use It?
In the last unit, we looked at when two things are equal.
But what if two things are NOT equal?
In mathematics, we express inequalities with these symbols:
Algebra 1
Unit 1: Foundations for Algebra
>
1.1: Variables & Expressions
1.2 Order of Operations
1.3: Real Numbers & The Number Line
1.4: Properties of Real Numbers
1.5 Addition & Subtraction
1.6 Multiplication & Division
1.7 The Distributive Property
Unit 2: Solving Equations
>
2.0 What is an Equation?
2.1 One-Step Equations
2.2 Two-Step Equations
2.3 Multi-Step Equations
2.4 Variables on Both Sides
2.5 Literal Equations & Formulas
2.6 Ratios, Rates, Conversions
2.7 Solving Proportions
2.8 Percent Proportion Problems
Unit 3: Solving Inequalities
>
3.0 What is an Inequality?
3.1 Graphs of Inequalities
3.2 Addition & Subtraction Inequalities
3.3 Multiplication & Division Inequalities
3.4 Multi-Step Inequalities
3.5 Working with Sets
3.6 Compound Inequalities
3.7 Absolute Value Equations & Inequalities
3.8 Unions & Intersections of Sets
Geometry
Unit 1: Tools of Geometry
>
1.1 Nets & Drawings
1.2 Points, Lines, Planes
1.3 Measuring Segments
1.4 Measuring Angles
1.5 Exploring Angle Pairs
1.6 Basic Constructions
1.7 Midpoint & Distance
1.8 Perimeter, Circumference, Area
Unit 2: Reasoning & Proof
>
2.1 Patterns & Inductive Reasoning
2.2 Conditional Statements
2.3 Biconditionals
2.4 Deductive Reasoning
2.5 Reasoning in Algebra & Geometry
2.6: Proving Angles Congruent
Unit 3: Parallel/Perpendicular Lines
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3.1 Lines & Angles
3.2 Properties of Parallel Lines
3.3 Proving Lines are Parallel
3.4 Parallel and Perpendicular Lines
3.5 Parallel Lines & Triangles
3.6 Constructing Parallel & PerpendicularLines
3.7 Equations of Lines
3.8 Slopes of Parallel & Perpendicular Lines
Unit 4: Congruent Triangles
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4.1 Congruent Figures
4.2 Triangle Congruence: SSS & SAS
4.3 Triangle Congruence: ASA & AAS
4.4: CPCTC
4.5: Isosceles & Equilateral Triangles
4.6: Congruence in Right Triangles
4.7: Congruence in Overlapping Triangles
Unit 5: Relationships in Triangles
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5.1: Midsegments of Triangles
5.2: Perpendicular & Angle Bisectors
5.3: Bisectors in Angles
5.4: Medians & Altitudes
5.5: Indirect Proof
5.6: Inequalities in 1 Triangle
5.7: Inequalities in 2 Triangles
Unit 6: Quadrilaterals & Polygons
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6.1: Angle-Sum Theorems
6.2: Properties of Parallelograms
6.3: Proving Parallelograms
6.4: Properties of Special Quads
6.5: Conditions of Special Quads
6.6: Trapezoids & Kites
6.7: Polygons in the Coordinate Plane
6.8: Applying Coordinate Geometry
6.9: Proofs Using Coordinate Geometry
Unit 7: Similarity
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7.1: Ratios & Proportions
7.2: Similar Polygons
7.3: Proving Triangles Similar
7.4: Similarity in Right Triangles
7.5: Proportions in Triangles
Unit 8: Right Triangles & Trigonometry
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8.1: Pythagorean Thm
8.2: Special Right Triangles
8.3: Trigonometry
8.4: Angles of Elevation and Depression
8.5: Laws of Sines
8.6: Laws of Cosines
Unit 9: Transformations
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9.1: Translations
9.2: Reflections
9.3: Rotations
9.4: Composition of Isometries
9.5: Congruence Transformations
9.6: Dilations
9.7: Similarity Transformations
Unit 10: Area
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10.1: Area of Parallelograms & Triangles
10.2: Area - Trapezoids, Rhombuses, Kites
10.3: Area of Regular Polygons
10.4: Perimeters & Areas of Similar Figures
10.5: Trig & Area
10.6: Circles & Arcs
10.7: Area of Circles & Sectors
10.8: Geometric Probability
Algebra 2
1.0 Expressions, Equations, Inequalities
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1.1 Patterns & Expressions
1.2 Properties of Real Numbers
1.3 Algebraic Expressions
1.4 Solving Equations
1.5 Solving Inequalities
1.6 Absolute Value Eqns & Inequalities
2.0 Linear Functions
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2.1 Relations & Functions
2.2 Direct Variation
2.3 Slope-Intercept Form
2.4 Point-Slope Form
2.5 Real World Linear Functions
2.6 Families of Functions
2.7 Absolute Value Functions
2.8 Two-Variable Inequalities
3.0 Linear Systems
>
3.1 Solving Systems by Graphing
3.2 Solving Systems Algebraically
3.3 Systems of Inequalities
3.4 Linear Programming
3.5 Systems with 3 Variables
3.6 Solving Systems Using Matrices
4.0 Quadratic Functions & Equations
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4.1 Quadratic Functions & Transformations
4.2 Standard Form of a Quadratic
4.3 Modeling with Quadratic Functions
4.4 Factoring Quadratic Expressions
4.5 Solving Quadratic Equations
4.6 Completing the Square
4.7 The Quadratic Formula
4.8 Complex Numbers
4.9 Quadratic Systems
5.0 Polynomials
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5.1 Polynomial Functions
5.2 Finding Zeros
5.3 Solving Polynomial Equations
5.4 Dividing Polynomials
5.5 Two Theorems
5.6 The Fundamental Thm of Algebra
6.0 Radicals
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6.1 Roots & Radical Expressions
6.2 Multiplying & Dividing Radicals
6.3 Binomial Radical Expressions
6.4 Radical Exponents
6.5 Solving Radical Equations
6.6 Function Operators
6.7 Inverse Relations & Functions
6.8 Graphing Radical Functions
7.0 Exponential & Logarithmic Fns.
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7.1 Exploring Exponential Functions
7.2 Properties of Exponential Fns
7.3 Logarithmic Fns
7.4 Properties of Logarithms
7.5 Exponential & Logarithmic Fns
7.6 Natural Logarithms
8.0 Rational Functions
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8.1 Inverse Variation
8.2 Reciprocal Fn Family
8.3 Rational Functions
8.4 Rational Expressions
8.5 Adding & Subtracting Rational Expressions
8.6 Solving Rational Equations