Site Under Construction for 2025-2026!!!
Unit 1: Algebra Review
I. Linear Forms
II. Introduction to Geometry (Algebra on Geometric Figures)
Notes and Example of Systems of Equations on Parallel lines
More Algebra Review related to geometry
III. Operations with Radicals
Worksheets on Radical Operations
Simplifying Radicals Intro & Examples (1–3) (Videos)
Simplifying Radicals Examples (4–6) (Videos)
Simplifying Radicals Examples (7–9) (Videos)
Simplifying Radicals Examples (10–11) (Videos)
Lesson: Combining Radicals (Part B)
Introduction to Adding and Subtracting Radicals (Videos)
Adding and Subtracting Radicals Examples 1–3 (Videos)
Adding and Subtracting Radicals Examples 4–6 (Videos)
Lesson: Multiplying Radicals (Part C)
Multiplying Radicals Examples 1–6 (Videos)
Distributing and F.O.I.L. with Radicals Examples (7-13) (Videos)
Rationalizing Denominators (Examples 11–15) (Videos)
Lesson: Using Conjugates (Part E)
Introduction and Example of Conjugates (Video)
Using Conjugates to Rationalize Denominators Examples (2-4) (Videos)
Using Conjugates to Rationalize Denominators Examples (5-7) (Videos)
Lesson: Pythagorean Theorem (Part F)
Pythagorean Theorem Example 1 (Video)
Pythagorean Theorem Example 2 (Video)
Pythagorean Theorem Example 3 (Video)
Lesson: Classifying Triangles (Part G)
Classifying Triangles Example 1 (Video)
Classifying Triangles Example 2 (Video)
Classifying Triangles Example 3-6 (Videos)
Lesson: Right Triangle Trigonometry (Part H)
Solving Right Triangles Introduction (Video)
Application of Trig Example 3: (Video)
Lesson: Distance Formula (Part I)
Distance Formula: Example 1 (Video)
Distance Formula: Example 2 (Video)
Distance Formula: Example 3 (Video)
Distance Formula: Example 4 (Video)
Lesson: Graphing Radical Equations (Part J)
Graphing radical equations Examples (2–3). (Video)
IV. Quadratic Equations
Lesson: (h,k) Form of Parabolas (Part A)
Converting to (h, k) form for parabolas examples 1–2. (Video)
Converting to (h, k) form for parabolas examples 3–4. (Video)
Converting to (h, k) form for parabolas examples 5–6. (Video)
Lesson: Graphing Parabolas (Part B)
Graphing (h, k) form for parabolas examples 1–4. (Video)
Graphing (h, k) form for parabolas examples 5–8. (Video)
Lesson: Obtuse Parabolas (Part C)
Graphing obtuse parabolas example 1. (Video)
Graphing obtuse parabolas example 2-3. (Video)
Lesson: Inverse Parabolas (Part D)
Graphing "sideways" parabolas. (Video)
Lesson 1 - Graphing Quadratic Functions
Lesson 2 - Solving Quadratic Equations by Graphing
Lesson 3 - Solving Quadratic Equations by Completing the Square
Completing the Square (Intro) (Video)
Lesson 4 - Solving Quadratic Equations by Using the Quadratic Formula
Understanding Discriminants. (Video)
Understanding Quadratic Formula. (Video)
Unit 2: Tools of Geometry
Planes
Solids
Rotations of Two-Dimensional Objects
Cross Sections of Three-Dimensional Objects
Constructions
Unit 3: Lines and Angles
Midpoints
Distance
Directed Line Segments
Partitioning line Segment WS 1
Partitioning line Segment WS 2
Lines and Angles
Parallel and Perpendicular Lines
Unit 4: Triangles
Pythagorean Theorem
Special Right Triangles (30-60-90 & 45-45 90)
Isosceles Triangle Theorem
Interior and Exterior Angles of Triangles
Triangle Inequality Theorem
Angle Side Relationship
Mid-segments
Medians, Altitudes, and Bisectors
Centroid, Orthocenter, Incenter, Circumcenter
Triangles in the Coordinate Plane
Unit 5: Polygons
Interior and Exterior Angles of Polygons
Parallelograms
Trapezoids
Special Quadrilaterals
Quadrilaterals in the Coordinate Plane
Unit 6: Conics
Chords, Secants, and Tangents
Equations of Circles
Circles in the Coordinate Plane
Unit 7: Measuring In The Plane and Space
Perimeter
Area of Polygons
Heron's Formula
Surface Area and Lateral Area
Polygons in the Coordinate Plane
Circumference
Area of Circles
Arc Length
Sectors
Volume Density
Unit 8: Transformations
Chapter Notes on Transformations
Translations
Rotations
Reflections
Line Dilations
Dilations
Symmetry
Mapping Polygons Onto Itself
Composition of Transformations
Identifying Transformations
Analytical Representations of Transformations
Similarity
Unit 9: Trigonometry
Trigonometric Ratios
Cofunction (Properties)
Using Trigonometry to Find Sides
Using Trigonometry to Find Angles (Optional)
Using Trigonometry to Find Area
Application Problems
Law of Sines
Law of Cosines
Unit 10: Logic
Line and Angle Proofs
Triangle Congruency
Triangle Proofs
Quadrilateral Proofs
Circle Proofs
Similarity Proofs
Unit 11: Probability
Set Theory
Venn Diagrams
Probability of Compound Events
Addition Rule
Multiplication Rule for Independent Events
Multiplication Rule for Dependent Events (Conditional)
Unit 11 Radical Expressions and Triangles
Unit 10 Quadratic and Exponential Functions
Unit 1 Radicals and Related Concepts
Worksheets on Radical Operations
Simplifying Radicals Intro & Examples (1–3) (Videos)
Simplifying Radicals Examples (4–6) (Videos)
Simplifying Radicals Examples (7–9) (Videos)
Simplifying Radicals Examples (10–11) (Videos)
Lesson: Combining Radicals (Part B)
Introduction to Adding and Subtracting Radicals (Videos)
Adding and Subtracting Radicals Examples 1–3 (Videos)
Adding and Subtracting Radicals Examples 4–6 (Videos)
Lesson: Multiplying Radicals (Part C)
Multiplying Radicals Examples 1–6 (Videos)
Distributing and F.O.I.L. with Radicals Examples (7-13) (Videos)
Rationalizing Denominators (Examples 11–15) (Videos)
Lesson: Using Conjugates (Part E)
Introduction and Example of Conjugates (Video)
Using Conjugates to Rationalize Denominators Examples (2-4) (Videos)
Using Conjugates to Rationalize Denominators Examples (5-7) (Videos)
Lesson: Pythagorean Theorem (Part F)
Pythagorean Theorem Example 1 (Video)
Pythagorean Theorem Example 2 (Video)
Pythagorean Theorem Example 3 (Video)
Lesson: Classifying Triangles (Part G)
Classifying Triangles Example 1 (Video)
Classifying Triangles Example 2 (Video)
Classifying Triangles Example 3-6 (Videos)
Lesson: Right Triangle Trigonometry (Part H)
Solving Right Triangles Introduction (Video)
Application of Trig Example 3: (Video)
Lesson: Distance Formula (Part I)
Distance Formula: Example 1 (Video)
Distance Formula: Example 2 (Video)
Distance Formula: Example 3 (Video)
Distance Formula: Example 4 (Video)
Lesson: Graphing Radical Equations (Part J)
Graphing radical equations Examples (2–3). (Video)
Unit 2 Quadratic and Exponential Functions
Outline "Work in progress for 2024–2025"
Section R.1
Foundations for Geometry
Section 1.1
Understanding points lines and planes
Section 1.2
Measuring and Constructing Segments
Section 1.3
Measuring and Constructing Angles
Section 1.4
Pairs of Angles
Section 1.5
Using Formulas in Geometry
Section 1.6
Midpoint and Distance in the Coordinate Plane
Section 1.7
Transformations in the Coordinate Plane
Section R.2
Geometric Reasoning
Section 2.1
Using Inductive Reasoning to Make Conjectures
Section 2.2
Conditional Statements
Section 2.3
Using Deductive Reasoning to Verify Conjectures
Section 2.4
Biconditional Statements and Definitions
Section 2.5
Algebraic Proof
Section 2.6
Geometric Proof
Section R.3
Parallel and Perpendicular Lines
Section 3.1
Lines and Angles
Section 3.2
Angles Formed by Parallel Lines and Transversals
Section 3.3
Proving Lines Parallel
Section 3.4
Perpendicular Lines
Section 3.5
Slopes of Lines
Section 3.6
Lines in the Coordinate Plane
Section R.4
Triangle Congruence
Section 4.1
Classifying Triangles
Section 4.2
Angle Relationships in Triangles
Section 4.3
Quadratic Functions and Their Properties
Section 4.4
Triangle Congruence: SSS, SAS
Section 4.5
Triangle Congruence: ASA, AAS, HL
Section R.5
Properties and Attributes of Triangles
Section 5.1
Perpendicular and Angle Bisectors
Section 5.2
Bisectors of Triangles
Section 5.3
Medians and Altitudes of Triangles
Section 5.4
The Triangle Midsegment Theorem
Section 5.5
The Pythagorean Theorem
Section 5.6
Applying Special Right Triangles
Section R.6
Polygons and Quadrilaterals
Section 6.1
Properties and Attributes of Polygons
Section 6.2
Properties of Parallelograms
Section 6.3
Conditions for Parallelograms
Section 6.4
Properties for Special Parallelograms
Section 6.5
Conditions for Special Parallelograms
Section 6.6
Properties of Kites and Trapezoids
Section R.7
Similarity
Section 7.1
Ratio and Proportions
Section 7.2
Ratios in Similar Polygons
Section 7.3
Triangle Similarity
Section 7.4
Using Proportional Relationships
Section 7.5
Applying Properties of Similar Triangles
Section R.8
Right Triangles and Trigonometry
Section 8.1
Similarity in Right Triangles
Section 8.2
Trigonometric Ratios
Section 8.3
Solving Right Triangles
Section 8.4
Angles of Elevation and Depression
Section 8.5
Law of Sine and Cosine
Section 8.6
Vectors
Section R.9
Perimeter, Area, and Circumference
Section 9.1
Developing Formulas for Triangles and Quadrilaterals
Section 9.2
Developing Formulas for Circles and Regular Polygons
Section 9.3
Composite Figures
Section 9.4
Perimeter and Area in the Coordinate Plane
Section 9.5
Effects of Changing Dimensions Proportionally
Section R.10
Circles
Section 10.1
Lines That Intersect Circles
Section 10.2
Arcs and Chords
Section 10.3
Sector Area and Arc length
Section 10.4
Inscribed Angles
Section 10.5
Angle Relationships in Circles
Section 10.6
Segment Relationships in Circles
1st Quarter-
Standards/Learning Goals:
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Using inductive reasoning and conjecture (G.CO.1, G.CO.12)
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Deductive reasoning, logic, and proof (G.CO.9, G.CO.7, G.CO.10, G.GPE.7)
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Formulas (G.GPE.4)
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The distance formula
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The midpoint formula
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Angles (G.CO.12)
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Angle bisector
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Perpendicular bisector
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Parallel and perpendicular lines (G.CO.9, G.GPE.5, G.GPE.6)
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Vertical angles
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Alternate exterior angles, alternate interior angles, corresponding angles, consecutive, interior angles
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Proofs (G.CO.9)
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Algebraic Proofs
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Parallel and perpendicular lines
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Line segments and angles
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2nd Quarter-
Standards/Learning Goals:
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Rigid motions (G.CO.2, G.CO.3, G.CO.4, G.CO.5, G.CO.6, G.CO.7)
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Reflections
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Translations
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Rotations
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Proofs about triangle congruence (G.CO.7, G.SRT.5)
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Special triangle theorems (G.CO.10, G.CO.13, G.SRT.4, G.SRT.5 )
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Triangle sum
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Isosceles triangles
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Midsegments
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Similarity (Non-rigid Motions) (G.SRT.1, G.SRT.2, G.SRT.2, G.SRT.4, G.SRT.5)
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Dilations
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Definitions and theorems
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Applications
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Probability (S.CP.1, S.CP.2)
3rd Quarter-
Standards/Learning Goals:
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Coordinate proof (G.GPE.4, G.GPE.5, G.GPE.7, G.SRT.5, G.CO.11)
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Triangles
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Special quadrilaterals
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Pythagorean theorem (G.SRT.4)
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Right triangle trigonometry(G.SRT.6, G.SRT.7, G.SRT.8, G.MG.1, G.MG.2, G.MG.3 )
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Applications (model) of right triangle trigonometry
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Circle similarity (G.C.1)
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Properties of circles (G.C.2, G.C.3, G.GPE.4, G.C.5, G.MG.1, S.CP.6, G.GPE.1)
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Equations
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Arc length
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Angle measurements
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Segment lengths
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4th Quarter -
Standards/Learning Goals:
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Regular polygons (G.GPE.7)
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Perimeter and area
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Interior and exterior angles
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Special quadrilaterals (G.CO.11)
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Proofs
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Area and perimeter
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Area
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Law of Sines, Law of Cosines
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Volume of solids (G.GMD.1, G.GMD.3, G.MG.1, G.GMD.4)