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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 2: Solving Equations
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
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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
>
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