Tutor Charlotte's Deep Mathematics Program

The correct and proven study method to master mathematics:

  • 1. Read the textbook on the math concept first.
  • 2. Ask questions of your teacher daily!
  • 3. Study and memorize the math vocabulary.
  • 4. Study the questions!
  • 5. Ask questions of your tutor!
  • 6. Study the examples of math problems. (Write out the examples and do the same calculations.)
  • 7. Practice daily-Do your homework and do your practice!

  • 8. Ask questions for any math problem you get wrong in your homework and or practice!

Deep Mathematics Curriculum

June-December 31st-The Beginning-Reading the entire mathematics textbook and helping the student with homework only. Assigned Saxon Math home work from Tutor Charlotte. 7 lessons per week are due for grades 4-8. Assigned problems from the mathematics textbook will be given. The student is taught the importance of reading the textbook first before attempting to do mathematics. Students are taught to read one chapter per day.

October-December 31st-The Second-Students are assessed on mathematics theory and all lectures and tutoring are based on helping the student understand math theory and teaching the student to be an independent learner of mathematics. The emphasis is on presenting various approaches the student can use to study and learn mathematics.

October-March 31st-The Third-Students are assessed on error less calculations of all mathematics concepts. Homework Help with Videos Grades 6-12. The "Homework Help with Videos" covers 6th, 7th, and 8th Grade Mathematics, Algebra I, Algebra II, and Geometry. The master tutor will assign to each student of mathematics a chapter of videos based on:

  • The student's grade level.

  • The student's assessment.

  • What the student, parent, and or teacher requests or needs to pass their next quiz, test, or exam.

March-May 31st-The Fourth-Reading the entire mathematics textbook and helping the student with homework only. Assigned Saxon Math homework from Tutor Charlotte and or specific homework from the mathematics textbook will be assigned. The student is taught the importance of reading the textbook first before attempting to do mathematics.

Continuous assessments to determine the student's area of weakness.

  • The student will be assigned written math work to complete.

  • The student will do in-person testing to determine if they can pass a test and or exam in school.

  • Math I (Algebra I and Geometry) 

    • Saxon Algebra I-students complete 1 lesson per day until the textbook is finished.

    • Prentice Hall Algebra 1 ©2011-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Glencoe Geometry ©2011-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Saxon Geometry Lessons 1-120-students complete 1 lesson per day until the textbook is finished.

  • Math II (Algebra II and Geometry)

    • Saxon Algebra II-students complete 1 lesson per day until the textbook is finished.

    • Prentice Hall Algebra 2 ©2011-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Glencoe Geometry ©2011-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Saxon Geometry Lessons 1-120-students complete 1 lesson per day until the textbook is finished.

  • Math III (Advanced Algebra and Geometry)

    • Prentice Hall Algebra 2 ©2011-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Glencoe Geometry ©2011-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Sullivan Algebra and Trigonometry-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

  • Pre-Calculus

    • Sullivan: Advanced Algebra and Trigonometry, 8e-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Glencoe Precalculus-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

  • Pre-Algebra for 7th, and 8th Graders Curriculum

    • Holt: Prealgebra-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Saxon Math Course 2 and 3-students complete 1 lesson per day until the textbook is finished.

    • Glencoe Mathematical Concepts and Applications-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Required Glencoe Geometry ©2011-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

  • General Mathematics for students in Grades 4, 5, and 6.

    • Glencoe Mathematical Concepts and Applications-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Scott Foresman Math for 4th and 5th Graders-students are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

    • Saxon Math Course 1 and 5/4-students complete 1 lesson per day until the textbook is finished.

    • Required Glencoe Geometry ©2011-students in grade 6 are lectured only on the chapters they are being tested on in school and assigned academic practice to pass their next quiz, test, and or exam.

  • Set Theory and Logic for students in Grades 6-11. Students must complete at least one section per month.

    • Chapter 2 Section 1 Basic Set Concepts

    • Chapter 2 Section 2 Subsets

    • Chapter 2 Section 3 Venn Diagrams and Set Operations

    • Chapter 2 Section 4 Set Operations and Venn Diagrams with Three Sets

    • Chapter 3 Section 1 Statements, Negations, and Quantified Statements

    • Chapter 3 Section 2 Compound Statements and Connectives

    • Chapter 3 Section 3 Truth Tables for Negation, Conjunction, and Disjunction

    • Chapter 3 Section 4 Truth Tables for the Conditional and Bi-conditional

    • Chapter 3 Section 5 Equivalent Statements, Variations of Conditional Statements, and De Morgan's Law

    • Chapter 3 Section 6 Arguments and Truths Tables

Parent's choose how their student is tutored and How much academic work they do.

Student's Name *
Student's Name
General Mathematics for 3rd, 4th, and 5th Graders.
Pre-Algebra for 6th, 7th, and 8th Graders.
Math I (Algebra I and Geometry)
Math II (Algebra II and Geometry)
Math III (Advanced Algebra and Geometry)
PreCalculus
Set Theory and Logic (Required of students Grade 6-11).
Inductive logic is the body of methods used to generate "correct" conclusions based on observation or data. It is the type of reasoning used in the natural sciences and statistics where general principles are "inferred" from many particular facts. The use of the methods of inductive logic always carries with it the risk of incorrect generalizations, so that the validity of this kind of argument is essentially probabilistic in nature. We will consider this type of reasoning later this semester in the Probability Unit. Deductive logic is the type of reasoning used in mathematics where we start from general principles and derive from these principles particular facts and relationships. Deductive logic usually denotes the process of proving true statements (theorems) within an "axiomatic system". If one accepts the validity of the axiomatic system, one is "forced" to accept the validity of the derived theorems. Their "truth" is beyond dispute unless the whole axiomatic system is inconsistent. These notes are primarily concerned with deductive logic.
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