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# MATHEMATICS COURSES ## FUNDAMENTALS OF MATH

The concepts studied in this course are presented in the table of contents of its textbook, Saxon Math  6/5,  2nd edition. Introduction  of  the  theory  of  sets  (real  number  diagram,  representation, and classification of real number) has been included in this course.  The main objectives of this course are:

1. Build in each student the sentiment “I can do it”

2. Sketch the real number diagram and classify any real number

3. Perform addition, subtraction, multiplication,  and  division (BY  HAND)  for  integers,  fractions,  and  decimals

4. Solve  three types  of  equations and perform substitutions

5. Solve  proportion  problems  including  unit conversion

6. Master  determination  of  area,  perimeter, and angles  for common  geometric shapes (circle, square, triangle, etc.)

This course is taught over the period of 30 weeks. Each week the student will attend a one hour in-person math class where the concepts of five lessons will be taught. Students are required to do all the twenty-five problems in each problem set as homework (one set per day.) Videos on how to solve assigned problem will be available. Each student is required to turn in one out of the five sets assigned as homework. For the set that is to be turned in,  there will be no video help.  Combined  with  other  parameters,  the lesson  that  needs  to  be  turned  in,  will  be  used  to measure the student progress in the course.

## PRE-ALGEBRA

The concepts studied in this course are presented in the table of contents of its textbook, Saxon Math 7/6, 3rd edition. The eleven rules of algebra and the prefixes of the metric system have been added to this course. The main objectives of this course are:

1. Memorize the eleven rules of algebra and use them to solve simple numeric and algebraic expressions

2. Solve equation and inequalities involving rational numbers

3. Plot and understand the Cartesian plane

4. Master determination of area, perimeters,  and  volume

5. Unit  conversion

6. Proportions  and  ratios

7. Introduction  to probability (coin, 1 and 2 dices, and urn)

8. Introduction to statistics – determine the five stats parameters.

This course is taught over the period of 30 weeks. Each week the student will attend a one hour in-person math class where the concepts of five lessons will be taught. Students are required to do all the odd problems in each problem set as homework (one set per day). Videos on how to solve assigned problems will be available. Each student is required to turn in one out of the five sets  assigned  as  homework.  For  the  set  that  is  to  be  turned  in,  there  will  be  no  video  help. Combined with other parameters, the lesson that needs to be turned in, will be used to measure the student progress in the course.

## ALGEBRA 1

The concepts studied in this course are presented in the table of contents of its textbook, Saxon Algebra 1, 3rd edition. The main objectives of this course are:

1. Memorize and be able to solve simple and complex algebraic equation and expressions

2. Master the four main types of factorization

3. Solve the quadratic  equation  via  formula,  factorization,  and  completing  the  square

4. Master determination  of  domain  and  range

5. Sketch  the  graph  of  all  the  main parent  functions

6. Master determination of area, surface area, perimeter, and volume of complex geometric shapes

7. Solve  systems  of  2  and  3  variables

8. Master unit  conversion  including  metric  system  prefixes

9. Solve probability, arrangement, and combination problems.

This course is taught over the period of 30 weeks. Each week the student will attend a one hour in-person math class where the concepts of five lessons will be taught. Students are required to do all the odd problems in each problem set as homework (one set per day.) Videos on how to solve assigned problems will be available. Each student is required to turn in one out of the five sets  assigned  as  homework.  For  the  set  that  is  to  be  turned  in,  there  will  be  no  video  help. Combined with other parameters, the lesson that needs to be turned in, will be used to measure the student progress in the course.

## ALGEBRA 11

The concepts studied in this course are presented in the table of contents of its textbook, Saxon Algebra 2, 3rd edition. The main objectives of this course are:

1. Solve complex motion problems

2. Solve ideal gas law problems

3. Solve  mixture problems

4. Solve  mass  balance  chemistry  problems

5. Solve complex geometry and trigonometry problems

6. Solve rational function and graphing

7. Solve linear  and nonlinear systems of  two  and  three  variables

8. Solve  inequalities and complex absolute  value  problems

9. Solve  logarithm  and  exponential  equations

10. Solve  simple, compounded, and continuous interest problems

11. Solve matrix and determinants problems.

This course is taught over the period of 30 weeks. Each week the student will attend a one hour in-person math class where the concepts of five lessons will be taught. Students are required to do all the odd problems in each problem set as homework (one set per day.) Videos on how to solve assigned problems will be available. Each student is required to turn in one out of the five sets  assigned  as  homework.  For  the  set  that  is  to  be  turned  in,  there  will  be  no  video  help. Combined with other parameters, the lesson that needs to be turned in, will be used to measure the student progress in the course.

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