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Zeihen RMHS Room 605
Geometry
Unit 1 Foundations of Geometry
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Unit 1 Segment 1: Basic Geometric Figures
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Lesson 1-3 Points, Lines & Planes
Lesson 1-4 Segments, Rays, Parallel Lines and Planes
Lesson 1-5 Measuring Segments
Lesson 1-6 Measuring Angles
Unit 1 Segment 2: Constructions
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Lesson 1-7 Basic Constructions
Making shapes with Constructions
Unit 1 Segment 3: Deductive Reasoning
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Lesson 1-1 Inductive Reasoning, "Patterns!"
Lesson 2-1 Conditional Statements
Lesson 2-2 Bi-Conditional Statements
Lesson 2-3 Deductive Reasoning "Logic"
Lesson 2-4 Reasoning in Algebra
Lesson 2-5 Vertical, Complementary, and Supplementary Pairs and AAP
Lesson 5-4 Negation with Inverse and Contrapositive Statements
Unit 2 Parallel Lines and Transformations
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Unit 2 Segment 1: Transformations
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Lesson 9-1 Transformations
Lesson 9-2 Reflections
Lesson 9-3 Rotations
Unit 2 Segment 2: Properties of Parallel Lines and Proving Lines are Parallel
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Lesson 3-1 Angles Formed by Parallel Lines
Lesson 3-2 Proving Lines Parallel
Lesson 3-3 Parallel and Perpendicular Lines
Lesson 3-8 Constructing Parallel and Perpendicular Lines
Writing Proofs involving Parallel Lines and Triangles
Unit 2 Segment 3: Triangle Angle Sum Theorem
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Lesson 3-4 Theorems about Angles in Triangles
Lesson 3-5 Interior Angles in Polygons
Lesson 3-5 Polygons and Shapes
Unit 3 Congruence
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Unit 3 Segment 1: Triangle Congruence Theorem with Transformations
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Lesson 4-1 Congruent Polygons and Transfomations
Lesson 4-2 Congruent Triangles SSS SAS
Lesson 4-3 Congruent Triangles ASA AAS
Lesson 4-4 Using Congruent Triangles & CPCTC
Lesson 4-5 Isosceles and Equilateral Triangles
Lesson 4-6 Congruence in Right Triangles HL Theorem
Lesson 4-7 Using Corresponding Parts of Congruent Triangles
Unit 3 Segment 2: Using Congruent Triangles to Prove Properties of Quadrilaterals
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Lesson 6-1 Classifying Quadrilaterals
Lesson 6-2 Properties of Parallelograms
Lesson 6-3 Proving that a Quadrilateral is a Parallelogram
Lesson 6-4 Special Parallelograms
Lesson 6-5 Trapezoids and Kites
Unit 3 Segment 3: Develop Area by Building Shapes from Triangles and Rectangles
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Lesson 10-1 Area of Parallelograms and Triangles
Lesson 10-2 Area of Trapezoids, Rhombuses, and Kites
Lesson 10-3 Area of Regular Polygons
Unit 4 Coordinate Geometry
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Unit 4 Segment 1: Introduction to Coordinate Geometry
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Lesson 1-8 Coordinate Plane, Distance, and Midpoint Formulas
Unit 4 Segment 4: Slope of Parallel and Perpendicular Lines
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Lesson 3-6 Slopes and Lines in the Coordinate Plane
Lesson 3-7 Slopes of Parallel and Perpendicular Lines
Unit 4 Segment 2: Pythagorean Theorem and its Applications
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Lesson 5-5 Inequalities in Triangles
Lesson 8-1 The Pythagorean Theorem
Lesson 1-9 Perimeter, Circumference, and Area
Lesson 6-6 Placing Figures in the Coordinate Plane
Lesson 6-7 Proofs Using Coordinate Geometry
Unit 4 Segment 3: Derive the Equation of a Circle Using Distance Formula & Pythagorean Theorem
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Lesson 12-5 Equation of a Circle
Unit 4 Segment 5: Parabolas
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Parabolas Using Focus and Directrix
Unit 5 Similarity
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Unit 5 Segment 1: Definition of Similarity using Dilations
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Lesson 7-1 Ratios and Proportions
Lesson 9-5 Dilations
Lesson 7-2 Similar Polygons
Lesson 7-3 Proving Triangles Similar
Unit 5 Segment 2: Applications of Similarity in Triangles
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Lesson 7-5 Proportions in Triangles
Lesson 5-1 Midsegments in Triangles
Lesson 5-3 Concurrent Lines, Medians and Altitudes
Lesson 8-6 Vectors or scalar multiplication
Unit 6 Trigonometry
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Unit 6 Segment 1: Special Right Triangles and the Pythagorean Theorem
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Lesson 8-2 Special Right Triangles
Special Right Triangles
Unit 6 Segment 2: Trigonometry Ratios and Similarity
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Tangent in Right Triangles
Cosine
SOHCAHTOA
Lesson 8-3 The Tangent Ratio
Lesson 8-4 Sine and Cosine Ratios
Unit 6 Segment 3: Trigonometry Identities
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Lesson 8-5 Trig Identities, Angles of Elevation and Depression
Unit 6 Segment 4: Laws of Sines and Cosines and Applications
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Lesson on Law of Sines and Cosines
Lesson 10-5 Area of Regular Polygons and Trigonometry
Unit 7 Circles
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Unit 7 Segment 1: Introduction to Circles and Similarity
Unit 7 Segment 2: Angle Measures and Segment Lengths in Circles
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Lesson 10-6 Circles and Arcs
Chords, Arcs, and Angles
Unit 7 Segment 3:Angle Properties of Inscribed and Circumscribed Circles about Triangles and Quadrilaterals
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Angles formed by Secants in the Circle
Angles formed by Secants outside the Circle
Unit 7 Segment 4: Relationships of Sectors and their Areas
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Arcs in Circles
Lesson 10-7 Areas of Circles and Sectors
Unit 8 Surface Area and Volume
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Unit 8 Segment 1: Derivation of Area and Volume Formulas
Unit 8 Segment 2: Applications of Volume Formulas
Unit 8 Segment 3: Cross Sections and Transformations
Unit 9 Probability
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Unit 9 Segment 1: Independent and Conditional Probability
Unit 9 Segment 2: Computing Probability of Compound Events
Unit 9 Segment 3: Applications of Probability
Geometry Blog
Algebra 2
Unit 1: Rational Numbers and Polynomial Expressions
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Unit 1 Segment 1: Structure in Expressions
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Lesson 1-1 Properties of Real Numbers
Lesson 1-2 Algebraic Expressions
Lesson 6-1 Exploring Polynomial Functions
Lesson 6-1 Polynomial Functions
Algebra 1 Ch 7 Lesson: Rules of Exponents
Lesson 6-1 Multiplying Polynomials
Lesson 5-4 Factoring Techniques
Other Factoring Techniques
5-5 Quadratic Graphing and their Zero's
6-2 Polynomials and their Linear Factors
6-2 The Factor Theorem, Zeros, and Multiplicity
6-3 Dividing Polynomials, Synthetic Division, Remainder Theorem
6-3 Synthetic Divsion
Unit 1 Segment 2: Polynomial Arithmetic
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Lesson 5-8 The Quadratic Formula
6-4 Solving Polynomial Equations with Quadratic Techniques
6-5 Theorems about Roots of Polynomial Equations
Unit 1 Segment 3: Binomial Theorem & Pascal's Triangle
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Lesson 6-7 Permutations
Lesson 6-7 Combinations
6-8 Pascal's Triangle and the Binomial Expansion Theorem
Unit 2: Equations and Their Graphs
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Unit 2 Segment 1: Reasoning With Equations & Inequalities
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Lesson 9-3 Graphing Rational Equations
Lesson 9-4 Solving Simple Rational Equations
Lesson 2-5 Graphing Absolute Value Functions
Lesson 1-5 Solving Absolute Value Equations
Unit 2 Segment 2: Solve Equations Graphically
Unit 3: Complex Numbers
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Unit 3 Segment 1: Complex Number Operations
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5-6 Complex Numbers and Conujates
5-6 Graphing Complex Numbers, Absolute Value and Conjugates
Unit 3 Segment 2: Complex Numbers in Quadratic Equations
Unit 4: Trigonometric Functions
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Unit 4 Segment 1: The Unit Circle, Radians, and Degrees
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Lesson on Special Right Triangles
Basic Trig Ratios Reviewed
Ferris Wheel Exploration Day 1
Ferris Wheel Exploration Day 2
Lesson 13-2 Angles and the Unit Circle
Lesson 13-3 Radian Measure
Lesson 13-2 The Unit Circle
Unit 4 Segment 2: Graphing Trigonometric Functions
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Lesson 13-1 Periodic Functions
Lesson 13-4 Sine Graphs
Cosine Graphs
Tangent Graphs
Unit 4 Segment 3: Proving Trigonometric Identities
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Lesson 14-1 Trigonometric Identities
Unit 5: Modeling With Functions
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Unit 5 Segment 1: Graphing Functions
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Lesson 1-3 Using Equations to Model Problems
Lesson 1-4 Using Inequalities to Model Problems
Unit 5 Segment 2: Interpreting Functions
Unit 5 Segment 3: Comparing Functions
Unit 5 Segment 4: Functions and Their Inverses
Unit 6: Inferences and Conclusions From Data
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Unit 6 Segment 1: Standard Deviation, Mean, & Normal Distribution
Unit 6 Segment 2: Random Process & Empirical Versus Theoretical
Unit 6 Segment 3: Sample Surveys, Experiments and Observational Studies
Algebra 2 Blog
CAHSEE PREP
Parent Resources
Graph Paper
Algebra 1
Unit 1 Relationships Between Quantities and Reasoning with Equations
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Unit 1 Segment 1: Parts of Equations
Unit 1 Segment 2: Solving and Modeling Equations, Justify
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Solving Multi-Step Equantions and Inequalities
Unit 1 Segment 3: Solving and Model Inequalities
Unit 1 Segment 4: Graph Equations and Inequalities
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Modeling Word Problems
Unit 2 Linear and Exponential Relationships
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Unit 2 Segment 1: Properties of Functions
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Function, Tables, and Graphs
Transformations
Linear Equations and Graphing
Unit 2 Segment 2: Systems
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Solving Systems of Equations
Unit 3 Descriptive Statistics
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Unit 3 Segment 1: Box Plots
Unit 3 Segment 2: Scatter Plots
Unit 4: Expressions and Equations
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Unit 4 Segment 1: Polynomials
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Properties of Exponents and Radicals
Polynomials
Unit 4 Segment 2: Quadratic Operations
UNIT 5 Quadratic Functions and Modeling
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Unit 5 Segment 1: Quadratic Functions
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Graphing Quadratic Equations
Solving Quadratic Equations
Unit 5 Segment 2: Modeling Functions
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Rational Expressions
Extra Credit
Tech Tools
Algebra 1 Blog
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