Mrs. C's Math Classes
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PreCalculus
Semester 1
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Chapter 1
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Intro to Mrs. Czechowski's Classes
Lesson 1: Rectangular Coordinates (Section 1.1)
Lesson 2: Graphs of Equations (Section 1.2)
Lesson 3: Linear Equations in Two Variables (Section 1.3)
Lesson 4: Intro to Functions (Section 1.4)
Lesson 5: Analyzing Graphs of Functions (Section 1.5)
Lesson 6: A Library of Parent Functions (Section 1.6)
Lesson 7: Transformations of Functions (Section 1.7)
Lesson 8: Combinations of Functions: Composite Functions (Section 1.8)
Lesson 9: Inverse Functions (Section 1.9)
Lesson 10: Mathematical Modeling and Variation (Section 1.10)
Chapter 2
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Lesson 1: Quadratic Functions and Models (Section 2.1)
Lesson 2: Polynomial Functions of Higher Degree (Section 2.2)
Lesson 3: Polynomial and Synthetic Division (Section 2.3)
Lesson 4: Complex Numbers (Section 2.4)
Lesson 5: Zeros of Polynomial Functions (Section 2.5)
Lesson 6: Rational Functions (Section 2.6)
Lesson 7: Nonlinear Inequalities (Section 2.7)
Chapter 3
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Lesson 1: Exponential Functions and Their Graphs (Section 3.1)
Lesson 2: Logarithmic Functions and Their Graphs (Section 3.2)
Lesson 3: Properties of Logarithms (Section 3.3)
Lesson 4: Exponential and Logarithmic Equations (Section 3.4)
Lesson 5: Exponential and Logarithmic Models (Section 3.5)
Chapter 7
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Lesson 1: Linear and Nonlinear Systems of Equations (Section 7.1)
Lesson 2: Two-Variable Linear Systems (Section 7.2)
Lesson 3: Multivariable Linear Systems (Section 7.3)
Lesson 4: Partial Fractions (Section 7.4)
Lesson 5: Systems of Inequalities (Section 7.5)
Lesson 6: Linear Programming (Section 7.6)
Chapter 8
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Lesson 1: Matrices and Systems of Equations
Lesson 2: Operations with Matrices
Lesson 3: The Inverse of a Square Matrix
Lesson 4: The Determinant of a Square Matrix
Lesson 5: Applications of Matrices and Determinants
Chapter 9
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Lesson 1: Sequences and Series (Section 9.1)
Lesson 2: Arithmetic Sequences and Partial Sums (Section 9.2)
Lesson 3: Geometric Sequences and Series (Section 9.3)
Semester 2
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Chapter 9B: Sequences, Series and Probability
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Lesson 5: The Binomial Theorem
Lesson 6: Counting Principles
Lesson 7: Probability
Chapter 4
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Lesson 1: Radian and Degree Measure (Section 4.1)
Lesson 2: Trigonometric Functions: The Unit Circle (Section 4.2)
Lesson 3: Right Triangle Trigonometry (Section 4.3)
Lesson 4: Trigonometric Functions of Any Angle (Section 4.4)
Lesson 5: Graphs of Sine and Cosine Functions (Section 4.5)
Lesson 6: Graphs of Other Trigonometric Functions (Section 4.6)
Lesson 7: Inverse Trigonometric Functions (Section 4.7)
Lesson 8: Applications and Models (Section 4.8)
Chapter 5
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Lesson 1: Using Fundamental Identities (Section 5.1)
Lesson 2: Verifying Trigonometric Identities (Section 5.2)
Lesson 3: Solving Trigonometric Functions (Section 5.3)
Lesson 4: Sum and Difference Formulas (Section 5.4)
Lesson 5: Multiple-Angle and Product-To-Sum Formula (Section 5.5)
Chapter 6
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Lesson 1: Law of Sines (Section 6.1)
Lesson 2: Law of Cosines (Section 6.2)
Lesson 3: Vectors in the Plane (Section 6.3)
Lesson 4: Vectors and Dot Products (Section 6.4)
Lesson 5: Trigonometric Form of a Complex Number (Section 6.5)
Chapter 10
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Lesson 1: Introduction so Conics: Parabolas (Section 10.2)
Lesson 2: Ellipses (Section 10.3)
Lesson 3: Hyperbolas (Section 10.4)
Lesson 4: Rotation of Conics (Section 10.5)
Chapter 12
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Lesson 1: Introduction to Limits (Section 12.1)
Lesson 2: Techniques for Evaluating Limits (Section 12.2)
Lesson 3: The Tangent Line Problem (Section 12.3)
Lesson 4: Limits at Infinity and Limits of Sequences (Section 12.4)
Lesson 5: The Area Problem (Section 12.5)
Geometry
Semester 1
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Unit 1 - Tools of Geometry
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Lesson 1: Patterns and Inductive Reasoning
Lesson 2: Points, Lines and Planes
Lesson 3: Segments, Rays and Parallel Lines
Lesson 4: Algebra Review
Lesson 5: Measuring Segments and Angles
Lesson 6: Basic Constructions
Lesson 7: The Coordinate Plane
Lesson 8: Perimeter, Circumference and Area
Unit 2 - Reasoning and Proof
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Lesson 1 - Conditional Statements
Lesson 2 - Biconditionals and Definitions
Lesson 3 - Deductive Reasoning
Lesson 4 - Reasoning in Algebra
Lesson 5 - Proving Angles Congruent
Lesson 6 - Inverses, Contrapositives and Indirect Reasoning
Unit 3 - Parallel and Perpendicular Lines
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Lesson 1 - Properties of Parallel Lines
Lesson 2 - Proving Lines Parallel
Lesson 3 - Parallel Lines and the Triangle Angle-Sum Theorem
Lesson 4 - The Polygon Angle-Sum Theorems
Lesson 5 - Algebra 1 Slope Review
Lesson 6 - Lines in the Coordinate Plane
Lesson 7 - Slopes of Parallel and Perpendicular Lines
Lesson 8 - Constructing Parallel and Perpendicular Lines
Unit 4 - Transformations (Chapter 12)
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Lesson 1 - Reflections
Lesson 2 - Translations
Lesson 3 - Rotations
Lesson 4 - Composition of Reflections
Lesson 5 - Symmetry
Lesson 6 - Dilations
Unit 5 - Congruent Triangles (Chapter 4)
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Lesson 1: Congruent Figures
Lesson 2: Triangle Congruence by SSS and SAS
Lesson 3: Triangle Congruence by ASA and AAS
Lesson 4: Using Congruent Triangles: CPCTC
Lesson 5: Algebra Review: Systems of Linear Equations
Lesson 6: Isosceles and Equilateral Triangles
Lesson 7: Congruence in Right Triangles
Lesson 8: Using Corresponding Parts of Congruent Triangles
Unit 6 - Quadrilaterals (Chapter 6)
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Lesson 1: Classifying Quadrilaterals
Lesson 2: Properties of Quadrilaterals
Lesson 3: Proving That a Quadrilateral is a Parallelogram
Lesson 4: Special Parallelograms
Lesson 5: Trapezoids and Kites
Lesson 6: Placing Figures in the Coordinate Plane
Lesson 7: Proofs Using Coordinate Geometry
Semester 2
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Unit 7 (Chapter 5) Relationships Within Triangles
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Lesson 1: Midsegments of Triangles
Lesson 2: Bisectors in Triangles
Lesson 3: Concurrent Lines, Medians, and Altitudes
Lesson 4: Algebra Review: Solving Linear Inequalities
Lesson 5: Inequalities in Triangles
Unit 8: (Chapter 7) Area
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Lesson 1: Areas of Parallelograms and Triangles
Lesson 2: Algebra Review: Simplifying Radicals
Lesson 3: The Pythagorean Theorem and its Converse
Lesson 4: Special Right Triangles
Lesson 5: Areas of Trapezoids, Rhombuses and Kites
Lesson 6: Areas of Regular Polygons
Lesson 7: Circles and Arcs
Lesson 8: Areas of Circles and Sectors
Lesson 9: Geometric Probability
Unit 9 (Chapter 10) - Surface Area and Volume
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Lesson 1: Space Figures and Nets
Lesson 2: Space Figures and Drawings
Lesson 3: Algebra Review - Literal Equations
Lesson 4: Surface Areas of Prisms and Cylinders
Lesson 5: Surface Areas of Pyramids and Cones
Lesson 6: Volumes of Prisms and Cylinders
Lesson 7: Volumes of Pyramids and Cones
Lesson 8: Surface Areas and Volumes of Spheres
Unit 10 (Chapter 8) Similarity
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Lesson 1: Ratios and Proportions
Lesson 2: Algebra Review - Solving Quadratic Equations
Lesson 3: Similar Polygons
Lesson 4: Proving Triangles Similar
Lesson 5: Similarity in Right Triangles
Lesson 6: Proportions in Triangles
Lesson 7: Perimeters and Areas of Similar Figures
Lesson 8: Areas and Volumes of Similar Solids
Unit 11 (Chapter 9) Right Triangle Trigonometery
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Lesson 1: The Trig Ratios (Sections 9-1 & 9-2)
Lesson 2: Angles of Elevation and Depression (Section 9-3)
Unit 12 (Chapter 11) Circles
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Lesson 1: Tangent Lines
Lesson 2: Chords and Arcs
Lesson 3: Inscribed Angles
Lesson 4: Angle Measures and Segment Lengths
Lesson 5: Circles in the Coordinate Plane
Lesson 6: Locus: A Set of Points
Algebra 2
Unit 1 - Functions
Unit 2 - Polynomials
Unit 3 - Polynomials and Factoring
Unit 4 - Polynomials and Graphing
Unit 5 - Complex Numbers
Unit 6 - Exponentials and Logarithms
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Lesson 1: Defining Exponential Expressions & Roots
Lesson 2: Exponential Functions
Lesson 3: Tables of Exponential Functions
Lesson 4: Defining & Evaluating Logarithms
Lesson 5: Laws of Logarithms
Lesson 6: Solving Exponential and Logarithmic Equations
Lesson 7: Applications of Exponentials and Logarithms
Unit 7 - Introduction to Trigonometry Functions
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Lesson 1: Special Right Triangles
Lesson 2: Intro to the Unit Circle
Lesson 3: Sine and Cosine of Any Angle between 0 and 360
Lesson 4: Sine and Cosine of Negative Angles and Angles Greater than 360 Degrees
Lesson 5: The Pythagorean Identity
Lesson 6: Solving Trig Equations
Lesson 8: Radian Measure
Lesson 9: Law of Sines
Lesson 10: Law of Cosines
Algebra 1
Unit 1 - Algebraic Properties and Equation Manipulation
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Lesson 1: Properties of Mathematics
Lesson 2: Simplifying Expressions
Lesson 3: One-Step Equations
Lesson 4: Two-Step Equations
Lesson 5: Equations with Variables on BOTH Sides
Lesson 6: Translating English into Algebra
Lesson 7: Word Problem Applications
Unit 2 - Data, Graphing Related Quantities, Data Displays
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Lesson 1: Plotting Points and Transformations
Lesson 2: Distance and Absolute Value
Lesson 3: Graphing Related Quantities
Lesson 4: Mean, Median, Mode, Range
Lesson 5: Data Displays
Lesson 6: Box & Whisker Plots
Unit 3 - Functions / Solving Equations
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Lesson 1: Getting Started with Functions
Lesson 2: Using Equations as Point Testers
Lesson 3: Graphing by Plotting
Lesson 4: Equation Manipulation
Lesson 5: Intersections of Graphs and More "y=" Equations
Unit 4 - Graphing Linear Functions
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Lesson 1: Slope
Lesson 2: Rates of Change (Application of Slope)
Lesson 3: Collinearity
Lesson 4: Slope-Intercept Form of a Line
Lesson 5: Standard Form of a Line and Switching to Slope Intercept Form
Lesson 6: Parallel and Perpendicular Lines
Unit 5 - Systems of Equations
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Lesson 1: Solving by Graphing
Lesson 2: Solving by Substitution
Lesson 3: Solving by Elimination
Lesson 4: Choosing Which Method to Use to Solve
Lesson 5: Applications of Systems of Equations
Unit 6 - Inequalities
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Lesson 1: Inequalities in One Variable
Lesson 2: Compound Inequalities
Lesson 3: Absolute Value Inequalities
Lesson 4: Graphing Linear Inequalities
Lesson 5: Graphing Systems of Linear Inequalities
Unit 7 - Exponents
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Lesson 1: Laws of Exponents
Lesson 2: Negative Exponents
Lesson 3: Rational Exponents
Lesson 4: Scientific Notation
Lesson 5: Formulas with Exponents
Unit 8 - Square Roots
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Lesson 1: Intro to Perfect Squares and Square Roots
Lesson 2: Simplifying Square Roots
Lesson 3: Multiplying Square Roots
Lesson 4: Adding and Subtracting Square Roots
Lesson 5: Dividing Square Roots
Lesson 6: Applications of Square Roots
Unit 9 - Polynomials
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Lesson 1: Intro to Polynomials
Lesson 2: Adding and Subtracting Polynomials
Lesson 3: Multiplying Polynomials
Lesson 4: Multiplying Polynomials (Special Cases)
Unit 10: Factoring Polynomials
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Lesson 1: Identifying GCF & Factoring Polynomials by GCF
Lesson 2: Factoring by Grouping
Lesson 3: Factoring Trinomials
Lesson 4: Factoring Special Trinomials
Lesson 5: Solving Quadratic Equations Using the Zero Product Property
Lesson 6: Solving Quadratic Equations using the Quadratic Formula
PreCalculus - Semester 1