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"EdG Math" - From Counting to Calculus

Ed Gurukul Way: Please read information sheet on “Ed Gurukul Way” to know who we are, what we stand for and how we do.


EdG Math is Ed Gurukul’s flagship course that had been designed to challenge students to think and understand the concepts better so that they are ready to solve any problems given in school or in any competitive tests. We revise the course every year. We are now in rev. 6. We Focus on Word Problems and insist on showing the work for clarity.


Class: EdG Math Classes are very well structured with class room instruction in one session and tutoring help in another session. Classes are held throughout the year.


Modules and Grades: EdG Math has 6 strands covering all topics of mathematics that are needed in real world. All 6 strands (ref. to back page) are covered in all grade levels. EdG Math grade is nearly a level higher than their current grade. This challenges them to think ahead and solve advanced problems.


Math Contests: Students will get prepared for several math competitions that are held in their schools or outside and they will also be eligible to take part in several math contests conducted by “TOURNAMETRIX CORPORATION” (www.tournametrix.com) and hosted by Ed Gurukul throughout the year. EdG Math Students can now register for Math Olympiads, Continental Math league, and Math League Contests throught the year.


Math Club: Ed Gurukul will offer Math Club for students to get-together and solve contest math problems and help each other. This also brings leadership skills and teaching ability. A Math coach will supervise and administer the club. Students can enroll for Math Club and make use of additional help to solve Contest Math problems, school homework or any math help in general.

MATHSTER CERTIFICATION: This certification is a standardized test offered by Tournametrix corporation for all students across the united states. Students can take 7 level certification examination and aim to obtain the title of “Grand Mathster”. Please visit www.tournametrix.com for all updates and announcements for current exams.

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In addition to the core courses offered throughout the year, Ed Gurukul may also introduce from time to time special courses and short term courses. Please refer to this page often to keep up with latest offering. .

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Curriculum BY LEVEL

  • Curriculum e-Book
  • (Please note that this e-Book describes detailed curriculum for EdG Math with recommended Mathster Rating level. Mathster rating is provided only for guidelines here. For details on Mathster rating, please refer to Mathster Examiniation published by Tournametrix Corporation).

 

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Academic Calendar

 

EdG Math Enroll   2014-2015--> Schedule

Foundation

Application

Bridge Description Course Overview
PKA PKB PKS Intro Math I PK-Course Content
KA KB KS Intro Math II K-Course Content
1A 1B 1S Arithmetric I 1-Course Content
2A 2B 2S Arithmetric II 2-Course Content
3A 3B 3S Artihmetic III 3-Course Content
4A 4B 4S Advanced I 4-Course Content
5A 5B 5S Advanced II 5-Course Content
6A 6B 6S Pre-Algebra 6-Course Content
7A 7B 7S Algebra I 7-Course Content
8A 8B 8S Algebra I H. 8-Course Content
9A 9B 9S Geometry H. 9-Course Content
10A 10B 10S Algebra II H. 10-Course Content
11A 11B 11S Pre-Calc. H. 11-Course Content
12A 12B 12S Calculus H. 12-Course Content

Courses 12A, 12B - Overview - Calculus Hons.

LESSON 1 Terminology and Graphing
LESSON 2 Parabola, Circle, Ellipse
LESSON 3 Hyperbolas and Systems of Equations
LESSON 4 Functions
LESSON 5 Trigonometry
LESSON 6 Exponential and Logarithmic Functions
LESSON 7 Limits
LESSON 8 Limits and Continuity
LESSON 9 Definition of a Derivative
LESSON 10 Derivative Rules
LESSON 11 Chain Rule
LESSON 12 Derivatives of Trig Functions
LESSON 13 Derivative of ex and ln(x)
LESSON 14 Implicit Differentiation
LESSON 15 Graphing with the 1st Derivative
LESSON 16 Graphing with the 2nd Derivative
LESSON 17 Mean Value Theorem; L’Hopital’s Rule
LESSON 18 Physics Applications
LESSON 19 Economics Applications
LESSON 20 Optimization
LESSON 21 Related Rates
LESSON 22 Antiderivatives
LESSON 23 Integration Formulas
LESSON 24 Area Under a Curve
LESSON 25 Definite Integrals
LESSON 26 Area Between Two Curves
LESSON 27 Inverse Trigonometric Functions
LESSON 28 Integration Using an Integral Table
LESSON 29 Differential Equations

LESSON 30 Integral Application: Differential Equations

MORE..........

Courses 11A, 11B - Overview - Pre Calc. Hons.

LESSON 1       Introduction to Trigonometry
LESSON 2 Inverse Trigonometric Ratios
LESSON 3 Interpreting the Trigonometry Tables
LESSON 4 Use the Trig Table to Solve for the Unknown LESSON 5 Using a Calculator and Arc Functions
LESSON 6 Angles of Elevation and Depression, LESSON 7 Angles < 0°, > 360°, and Reference Angles LESSON 8 Cofunctions; Negative Angle Relationships, LESSON 9 Proving Trigonometric Identities, LESSON 10 Verifying Trig Expressions and Identities
LESSON 11 Sum and Difference Identities
LESSON 12 The Double-Angle and Half-Angle Identities
LESSON 13 Law of Sines
LESSON 14 Law of Cosines
LESSON 15 Radian Measure
LESSON 16 Polar Coordinates; Rectangular Coordinates, LESSON 17 Polar Equations and Polar Graphs, LESSON 18 Vectors
LESSON 19 Functions, Relations, Domain, and Range, LESSON 20 Composite Functions
LESSON 21 Logarithms
LESSON 22 Natural Exponential and Logarithm Functions
LESSON 23 Graphing Sine and Cosine Functions
LESSON 24 Graphing the Cosecant and Secant
LESSON 25 Graphing the Tangent and Cotangent
LESSON 26 Arithmetic Sequences and Series
LESSON 27 Geometric Sequences and Series
LESSON 28 Equations with Radicals and Absolute Value, LESSON 29 Inequalities with Absolute Value and Radicals, LESSON 30 Limits

MORE.............

Courses 10A, 10B - Overview - Algebra II Hons.

LESSON 1 Exponents
LESSON 2 Rational Expressions
LESSON 3 Scientific Notation; Combining Like Terms, LESSON 4 Radicals, Basic Operations, and Simplifying, LESSON 5 Factoring Polynomials; Rational Expressions
LESSON 6 Fractional Exponents and Solving Equations
LESSON 7 Imaginary and Complex Numbers
LESSON 8 Conjugate Numbers
LESSON 9 Cubes and Pascal’s Triangle
LESSON 10 Binomial Theorem
LESSON 11 Completing the Square, LESSON 12 Quadratic Formula, LESSON 13 Discriminants
LESSON 14 Applications Using Percent, LESSON 15 Isolating One Variable
LESSON 16 Ratios
LESSON 17 Unit Multipliers and Metric Conversions
LESSON 18 Distance = Rate x Time
LESSON 19 More Motion Problems
LESSON 20 Graphing Lines: Slope-Intercept Formula
LESSON 21 Parallel and Perpendicular Lines; Inequalities, LESSON 22 Distance Formula and Midpoint Formula, LESSON 23 Conic Sections: Circle and Ellipse, LESSON 24 Parabola
LESSON 25 Parabola: Maxima and Minima
LESSON 26 Hyperbola
LESSON 27 Solving Systems of Equations
LESSON 28 Coins, Consecutive Integers, and Mixtures, LESSON 29 Age and Boat in the Current Problems, LESSON 30 Solving Equations with Three Variables, LESSON 31 Vectors

MORE.................................

Courses 9A, 9B - Overview - Geometry Hons.

Congruence

Similarity, Right Triangles, and Trigonometry

Circles

Expressing Geometric Properties with Equations

Geometric Measurement and Dimension

Modeling with Geometry

Mathematical Practices

  1. Make sense of problems and persevere in solving them, Reason abstractly and quantitatively.
  2. Construct viable arguments and critique the reasoning of others.
  3. Model with mathematics, Use appropriate tools strategically.
  4. Attend to precision, Look for and make use of structure.
  5. Look for and express regularity in repeated reasoning.

Course 8A and 8B- Overview

Seeing Structure in Expressions

Arithmetic with Polynomials and Rational Functions

Creating Equations

Reasoning with Equations and Inequalities

Mathematical Practices
  1. Make sense of problems and persevere in solving them, Reason abstractly and quantitatively.
  2. Construct viable arguments and critique the reasoning of others.
  3. Model with mathematics, Use appropriate tools strategically.
  4. Attend to precision, Look for and make use of structure.
  5. Look for and express regularity in repeated reasoning.

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Course 7A and 7B- Overview

The Number System

Expressions and Equations

Functions

Geometry

Statistics and Probability

Mathematical Practices

  1. Make sense of problems and persevere in solving them, Reason abstractly and quantitatively.
  2. Construct viable arguments and critique the reasoning of others, Model with mathematics.
  3. Use appropriate tools strategically, Attend to precision, Look for and make use of structure.
  4. Look for and express regularity in repeated reasoning.

Course 6A and 6B- Overview

Ratios and Proportional Relationships

The Number System

Expressions and Equations

Geometry

Statistics and Probability

Mathematical Practices

  1. Make sense of problems and persevere in solving them, Reason abstractly and quantitatively, Construct viable arguments and critique the reasoning of others, Model with mathematics.
  2. Use appropriate tools strategically, Attend to precision, Look for and make use of structure, Look for and express regularity in repeated reasoning.

Courses 5A, 5B Overview:

Ratios and Proportional Relationships

The Number System

Expressions and Equations

Geometry

Statistics and Probability

Mathematical Practices

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

Courses 4A, 4B Overview:

Operations and Algebraic Thinking

Number and Operations in Base Ten

Number and Operations—Fractions

Measurement and Data

Geometry

Mathematical Practices

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

Courses 3A, 3B Overview:

Operations and Algebraic Thinking

Number and Operations in Base Ten

Number and Operations—Fractions

Measurement and Data

Geometry

Mathematical Practices

  1. Make sense of problems and persevere in solving them, Reason abstractly and quantitatively, Construct viable arguments and critique the reasoning of others.
  2. Model with mathematics, Use appropriate tools strategically, Attend to precision.
  3. Look for and make use of structure, Look for and express regularity in repeated reasoning.

Courses 2A, 2B Overview:

Operations and Algebraic Thinking:

Number and Operations in Base Ten:

Number and Operations—Fractions:

Measurement and Data:

Geometry:

Mathematical Practices:

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

Course 1A, 1B Overview:

Operations and Algebraic Thinking

Number and Operations in Base Ten

Measurement and Data

Geometry

Mathematical Practices

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

Course KA and KB Overview:

Operations and Algebraic Thinking:

Number and Operations in Base Ten

Measurement and Data

Geometry

Mathematical Practices

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

Course PKA and PKB Overview:

Counting and Cardinality:

Operations and Algebraic Thinking:

Number and Operations in Base Ten

Measurement and Data

Geometry

Mathematical Practices

  1. Make sense of problems and persevere in solving them, Reason abstractly and quantitatively, Construct viable arguments and critique the reasoning of others.
  2. Model with mathematics, Use appropriate tools strategically, Attend to precision, Look for and make use of structure.
  3. Look for and express regularity in repeated reasoning.