Course Descriptions & Syllabi

Pre-AP English Language

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This class is designed to help students excel in  thoughtful reading, excellent writing, and critical thinking skills, preparing them also for a smooth transition to the AP English Class.

Students will write a wide variety of academic essays such as literary analysis, expository, decorative, narrative, synthesis, argumentative, and extemporaneous. They will also learn  how to use MLA format, outline, document, quote properly, and more as they gain confidence and skills in using rhetorical devices, complex sentence structures, sophisticated vocabulary, and much more.

This class is for students who are familiar with a basic 5-paragraph essay.


More information, as well as a list of supplies needed, is available on the syllabus, which is posted at the bottom of this page.

AP English Language & Composition

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This class equips students to thrive in high-level reading, writing, and thinking, with a specific emphasis on rhetorical analysis and preparation for the AP English Language Test.  Students will hone their skills in a variety of writing genres including argumentative essays and synthesis essays.

While engaging and fun, this course can also lead to potential dual credit for college, and  add the coveted AP distinction on the high school transcript.


More information, as well as a list of supplies needed, will be available on the syllabus, which is posted at the bottom of this page.


 

Algebra 1

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This class is designed to help students excel in all of Algebra 1 skills and to prepare them to excel in Geometry as well the following year. Students will be taught to look for patterns, create equations that allow them to extend this pattern, and make predictions. 

Our focus of study:

1. Reviewing Number Sense—Memorizing Fractions/Decimals, Squares/Square Roots, Order of Operations, Properties

2. Simplifying Exponents/Radicals

3. Graphing on a RNL—Compound Inequalities – AND vs. OR

4. Classifying and Simplifying all expressions

5. Solving all Equations/Inequalities (Formulas)

6. Linear Equations – Classifying (Standard, Slope Intercept, Point Slope), Slope, x and y Intercepts, Relations (Functions, Domain, Range), Graphing (Horizontal, Vertical, Oblique)

7. Absolute Value Equations (Solving, Graphing - Transformations)

8.  Finding the Equation of a Line (Parallel and Perpendicular)

9. Solving Systems – 2 equations, 2 unknowns (3 methods – Graphing, Substitution, Elimination)

10. Quadratics – Simplifying/Factoring, Solving, Changing from SF to GF, Graphing

11. Exponentials – Graphing

12. Rational Functions – Simplifying and Solving

13. Percents, Probability, Statistics, Dimensional Analysis

14. Direct Vs. Indirect Variation

15. Word Problems


This class is for students who have mastered number sense and pre-algebra. You can sign up for the class alone or for the class plus homework help. More information, as well as a list of supplies needed, is available on the 2019-2020 syllabus located at the bottom of this page.


Geometry

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This class is designed to help students excel in all of Geometry skills and to prepare them to excel in Algebra 2 the following year. Geometry is the study of shapes and the discovery of the relationships and patterns formed in shapes. We will also use deductive reasoning to create proofs and create constructions using a compass.

Our focus of study:

1. Patterns – Inductive Reasoning

2. 5 Geometric Units and Introductory Theorems

3. Segments—Measure, Distance, Midpoint, SAP

4. Angles—Measure, Angle Bisector, AAP

5. Classifying Pairs of Angles – Adjacent, Vertical, Linear Pairs, Congruent, Supplementary, Complementary

6. Perimeter and Area

7. Logic-Conditional, Biconditional, Deductive Reasoning, Proofs (Segments/Angles)

8. Lines and Angles (Perpendicular, Parallel, Transversal, Angles formed (CA, AIA, AEA, CIA, LP, VA)

9. Proving Lines Parallel

10. Triangles (Classify, BAT, Triangle Sum, Greater side/greater angle, Triangle Inequality)

11. Triangles-Special Segments and Pts. Of Concurrency

12. Triangles – Congruent and Similar

13. Triangles – Rt Triangles – Pythagorean Thm, Trig (Unit Circle), Special Rt, Rt Triangle with Altitude (Geo. Mean)

14. Polygons-Parallelograms, Quad Tree

15. Rigid Motion in Planes-Transformations (Reflection, Rotation, Translations, Glide Reflection)

16. Vectors (Coordinate/Component Form, Magnitude, Direction, Adding)

17. Similar Polygons-Ratio and Proportionality, Dilations

18. Circles-Tangents, Arcs, Chords, Inscribed Angles, Central Angles, Segment Lengths, Equation of Circle

19. Circles – Circumference, Area, Arc Length, Area of Sector

20. Polygons-Angles (PIAT/PEAT), Area of Regular, Geometric Probability

21. Polyhedrons-Classify, SA and Volume

22. Constructions-Midpt, Perp. Bisector, Angle Bisector, Congruent Angle, and more

23. Geometric Probability

24. Proofs


This class is for students who have mastered Algebra 1. You can sign up for the class alone or for the class plus homework help.  

More information, as well as a list of supplies needed, is available on the 2019-2020 syllabus located at the bottom of this page.

Algebra 2

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This class is designed to help students excel in all of Algebra 2 skills and to prepare them to excel in Pre-calculus the following year. Students will be taught to look for nonlinear patterns and solve and graph with these to make predictions.  

In Algebra 2 our focus of study is on:

1. Review Linear Equations from Algebra

2. Linear Regression, Correlation

3. Piecewise Functions

4. Step Functions (Greatest Integer)

5. Systems—Solving 2x2 (6 methods—Graphing, Substitution, Elimination, Cramer’s, Augmented, Inverse), Equ/Inequ

6. Systems—Solving 3x3 (4 methods – Elimination, Cramer’s, Augmented, Inverse), Optimization, Area of a Tri. given 3 pts.

7. Matrices—Classify/Add/Subtract/Multiply/Properties/Inverse/Identity

8. Quadratics—Graphing, Factoring, Solving (Factoring, Quadratic Formula, Completing the Square), Equ/Inequ, Word Problems, Finding the equation

9. Complex Numbers—imaginary numbers

10. Polynomials—Classify, Standard Form, General Graphs, Evaluating (Synthetic Subst), Perfect Cubes (Pascal’s Triangle), Factoring, Dividing (Synthetic Division)

11. Solving Cubics

12. Graphing Cubics

13. Complex Radicals—Rational Exponents

14. Inverse Functions

15. Solving and Graphing Radicals

16. Exponential Growth and Decay—Simplifying, Solving, Graphing

17. Logarithmic Functions—Simplifying, Solving, Graphing

18. Rational Equations—Direct/Inverse/Joint Variation, Simplifying, Solving, Graphing

19. Distance and Midpoint

20. Conics – Circles, Ellipses, Hyperbolas

21. Trigonometric Functions—Right Triangle, Radian, Ratios, Inverse, Law of Sines, Law of Cosines

22. Sequences and Series

23. Probability and Statistics—Permutations, Combinations, Compound Events, Independent/Dependent Events, Binomial/Normal Distributions


This class is for students who have mastered Algebra 1.  You can sign up for the class alone or sign up for the class plus homework help.  

More information, as well as a list of supplies needed, is available on the 2019-2020 syllabus located at the bottom of this page.


Pre-calculus

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This class is unique in that it not only helps students excel in pre-calculus skills, but it also prepares students for a smooth transition into AP Calculus the following year. Students will continue mastering nonlinear patterns, learning to analyze triangles through trigonometry and dig into data analysis in statistics and probability.

In Pre-calculus our focus of study is on:

1. Real and Complex Numbers, Complex Plane (Add/Subtract/Graph, Absolute Value, Midpoints, Distance)

2. Functions and the Nature of Graphs—Domain, Range, Family of Functions, Transformations (Translations, Reflections, Dilations), Describe the Function Transformation, Evaluating, Table of values, Composition of functions, Inverse Functions, Equations vs. Inequalities, Continuity and End Behavior, Critical Points, Extremes, Direct/Indirect/Joint Variation

3. Linear Functions—Slope, x and y intercepts, Graph, Find the equation, Families of Linears—Parallel/Perpendicular/Piecewise, Equ/Inequ., Word Problems, Regression

4. Systems—Review 2x2 and 3x3 and Matices (Add/Subtract/Mutiply/Properties/Solve/Inverse/Transformation Matrices), Linear Programming, Graph equ/inequ, Word Problems

5. Polynomial and Radical Functions—Domain, Range, Solve, Quadratics (max/min, roots, line of symmetry, equ/inequ, factoring/quadratic formula, discriminant), Polynomials (Divide-Long/Synthetic, Factor/Roots, Remainder/Factor/Rational Root Thms, Fundamental Thm of Algebra, Zeros, Quadratic Patterns, Given roots find polynomial, Pascal’s Triangle, Binomial Thm, Partial Fractions, Word Problems, Regression, Rational Exponents

6. Rational Functions—symptotes, Excluded Values, Solve, Word Problems

7. Trigonometric Functions – Converting between radians and degrees, Radians and Arc Length, Quadrants, Coterminal/Reference Angles, Rt Triangle Trig—ratios, unit circle, reference angles, Inverse, Solve, Solving a Right Triangle-sides/angles, Solving Triangles-Law of Sines/Cosines, Area of a Triangle—Sine/Heron’s Formula

8. Trigonometry Graphs—Linear and Angular Velocity, Graphing—Amplitude, Period, Translations, Inverse Graphs, Writing the Equation 

9. Trigonometric Identities—Complementary, Symmetry and Periodicity, Verifying, Sum and Difference, Double and Half-Angle, Solving Trig, Normal Form of a Linear Equation, Distance from a Point to a line

10. Vectors (2 dimensional)—Component Form and Coordinate Form, Magnitude, Direction, Resultant Vector (Triangle Method and Parallelogram Method), Add/Subtract/Multiply, Unit Vector, Linear Combinations, Application

11. Vectors (3 dimensional)—Component Form, Magnitude, Add/Subtract/Multiply, Linear Combinations, Parametric Equations

12. Polar Coordinates and Complex Numbers – Modulus and argument of a Complex Number, Rectangular to Polar, Match Polar Equations and Graphs, Simplifying Complex Numbers, Products/Quotients/Powers/Roots

13. Conics—Circles/Ellipses/Hyperbolas/Parabolas (Properties/Equations/Graphs), Rectangular and Parametric Forms, Transformations, Systems Equ/Inequ

14. Exponential and Logarithmic Functions—Domain, Range, Convert btw, Solve, Evaluate, Change of base, Properties (Product/Quotient/Power), Solving with multiple logs, Exponential functions over unit intervals, Growth and Decay, Compound Interest

15. Sequences and Series – Arithmetic/Geometric, Infinite, Explicit/Recursive (Convert), Convergent/Divergent, Sigma Notation, nth Term, Binomial Thm, Special/Iteration/Induction, Sum/Partial Sum

16. Probability—Combinations/Permutations, 2 way frequency tables, Permutations with Repetitions and Circular Permutations, Independent Events, Compound Events, Conditional Probability, Probability Distributions (Discrete, Binomial), Central Limit Theorem

17. Statistics – Central Tendency, Variability, Outlier, Correlation Coefficients, Regression Analysis, Confidence Intervals

This class is for students who have mastered Algebra 2 and Geometry. You can sign up for the class alone or sign up for the class plus homework help.  

More information, as well as a list of supplies needed, is available on the 2019-2020 syllabus located at the bottom of this page.

Math Homework Help Class

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This class is for all math levels and gives the student an opportunity to work on  math homework with an expert math teacher available to give hands-on help. This class is a boon to every student, but can be especially helpful if the student needs a little extra help. It also gives mom a nice break. The student can enroll for one semester or both.

Workshop for Moms: High School Success—Planning and Record Keeping

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 Are you ready to be excited over high school planning? Homeschool moms take on so many roles—teacher, mom, taxi driver, chef—and add to that high school adviser. How can we plan and keep track of it all in a way that sets our children up for a smooth, successful transition to college or career? This short seminar will lay out a clear, easy plan for you including . . .

  • How to create professional transcripts
  • How to organize all the records and information that colleges and scholarship organizations want
  • How to choose from the overwhelming selection of college-prep classes
  • Tips for finding and winning scholarships
  • Which tests should high schoolers take and when
  • When accreditation matters and how to get it
  • How to pick and choose which high school activities will count the most for college and beyond
  • and lots more, including fun and fellowship with other homeschool moms

When: Thursday, August 1 from 9-12

Where: First Montgomery Baptist Church

How to register: Email us or click on the "contact us" button with your full name, phone number, email, and ages of children. Then send your payment through  mail or PayPal for $30 by July 27. Space is limited, so register as soon as possible. Contact us to receive an address or PayPal link.