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Topics in Geometry

Essentials of Geometry

7 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Identify Points, Lines, and Planes

  • Use Segments and Congruence

  • Use Midpoint and Distance Formulas

  • Measure and Classify Angles

  • Describe Angle Pair Relationships

  • Classify Polygons

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Reasoning and Proof

8 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Use Inductive Reasoning

  • Analyze Conditional Statements

  • Apply Deductive Reasoning 

  • Use Postulates and Diagrams

  • Reason Using Properties from Algebra

  • Prove Statements about Segments and Angles

  • Prove Angle Pair Relationships

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Parallel and Perpendicular Lines

7 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Identify Pairs of Lines and Angles

  • Use Parallel Lines and Transversals

  • Prove Lines are Parallel

  • Find and Use Slopes of Lines

  • Write and Graph Equations of Lines

  • Prove Theorems about Perpendicular Lines

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Congruent Triangles

10 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Apply Tiangle Sum Properties

  • Apply Congruence and Triangles

  • Relate Transformations and Congruence

  • Prove Triangles Congruent by SSS

  • Prove Triangles Congruent by SAS and HL

  • Prove Triangles Congruent by ASA and AAS

  • Use Congruent Triangles

  • Use Isosceles and Equilateral Triangles

  • Perform Congruence Transformations

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Relationships within Triangles

7 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Midsegment Theorem and Coordinate Proof

  • Use Perpendicular Bisectors

  • Use Angle Bisectors of Triangles

  • Use Medians and Altitudes

  • Use Inequalities in a Triangle 

  • Inequalities in Two Triangles and Indirect Proof

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Similarity

7 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Use Similar Figures

  • Relate Transformations and Similarity

  • Prove Triangles Similar by AA

  • Prove Triangles Similar by SSS and SAS

  • Use Proportionality Theorems

  • Perform Similarity Transformations

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Right Triangles and Trigonometry

11 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Apply the Pythagorean Theorem

  • Use the Converse of the Pythagorean Theorem

  • Use Similar Right Triangles

  • Special Right Triangles

  • Apply the Tangent Ratio

  • Apply the Sine and Cosine Ratios

  • Solve Right Triangles

  • Trigonometric Ratios of Complementary Angles

  • Apply the Law of Sines

  • Apply the Law of Cosines

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Quadrilaterals

7 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Find Angle Measures in Polygons

  • Use Properties of Parallelograms

  • Show that a Quadrilateral is a Parallelogram

  • Properties of Rhombuses, Rectangles, and Squares

  • Use Properties of Trapezoids and Kites

  • Identify Special Quadrilaterals

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Properties of Transformations

8 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Translate Figures and Use Vectors

  • Use Properties of Matrices

  • Perform Reflections

  • Perform Rotations

  • Apply Compositions of Transformations

  • Identify Symmetry

  • Identify and Perform Dilations

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Properties of Circles

9 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Use Properties of Tangents

  • Find Arc Measures

  • Apply Properties of Chords

  • Use Inscribed Angles and Polygons

  • Apply Other Angle Relationships in Circles

  • Find Segment Lengths in Circles

  • Write and Graph Equations of Circles

  • Equations of a Parabola

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Measurement of Figures and Solids

10 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Circumference and Arc Length

  • Areas of Circles and Sectors

  • Areas of Regular Polygons

  • Use Geometric Probability

  • Explore Solids

  • Volume of Prisms and Cylinders

  • Volume of Pyramids and Cones

  • Surface Area and Volume of Spheres

  • Explore Similar Solids

Pricing Options (In-Person):​

Online Options are currently being developed.​

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Probability

6 Week Course | 2 Live Sessions / Week | 5 Sets of Practices Exercises / Week
Subunits 

  • Find Probabilities and Odds

  • Find Probabilities Using Permutations

  • Find Probabilities Using Combinations

  • Find Probabilities of Disjoint and Overlapping Events

  • Find Probabilities of Independent and Dependent Events

Pricing Options (In-Person):​

Online Options are currently being developed.​

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By clicking this button, you are not committing to or registering for any of the Pre-Algebra courses--just expressing interest.

Once there is sufficient interest, we can offer a particular course.

Textbook: [Larson] Pre-Algebra: Common Core Edition; Larson, Boswell, et al (Holt McDougal 2012).  

  • Borrow it online (Free): Here or Here​

  • Purchase your own physical copy (often cheap online or at used bookstores).

  • Ask me -- I have a limited number available for use (Free).

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