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MathDBase

Our ultimate intention is to cover all mathematics, from elementary school Arithmetic through the STEM-major-required university math courses. But the focus so far, has been on Algebra, Pre-Calculus and Calculus. While working on materials for MathDBase, I will periodically release many of the workbooks, worksheets, study guides, reference materials and quizzes that have already been completed. There will also be links to my mathematics videos.

Our ultimate intention is to cover all mathematics, from elementary school Arithmetic through the STEM-major-required university math courses. But the focus so far, has been on Algebra, Pre-Calculus and Calculus. While working on materials for MathDBase, I will periodically release many of the workbooks, worksheets, study guides, reference materials and quizzes that have already been completed. There will also be links to my mathematics videos.
Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions

Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes This is the second quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have only algebraic integrands. Included is a separate set of very detailed step-by-step solutions.
MathDBase
Brain Teasers Worksheet DY1 - Math problems & puzzles (Dare You!)

Brain Teasers Worksheet DY1 - Math problems & puzzles (Dare You!)

Subject: Math, Basic Math Grade Levels: 6th, 7th, 8th, 9th, 10th, 11th, 12th, Adult Education, Homeschool Resource Type: Worksheets (5 pages) This is the sixth worksheet in the Brain Teasers series. The Brain Teasers series of worksheets is a compilation of Mensa and SAT-style math problems and puzzles. These worksheets provide enrichment in basic Arithmetic, Plane Geometry and Algebra 1 concepts, coinciding with Common Core standards at grade 6 and above and requiring no more than a thorough understanding of that material. Each worksheet includes definitions of terms and formulas that are relevant to the problems on the specific sheet. There are four levels of sheets - Somewhat Easy (SE), Medium Difficulty (MD), Somewhat Difficult (SD) and Dare You! (DY), loosely graduated by difficulty on each worksheet.
MathDBase
Basic Algebra Worksheet 5b - Prime & Composite Numbers - The Sieve of Eratosthenes

Basic Algebra Worksheet 5b - Prime & Composite Numbers - The Sieve of Eratosthenes

Subject: Algebra, Mathematics, Basic Math Grade Levels: 8th, 9th, 10th, 11th Resource Type: Worksheet (4 pages) This is the first optional worksheet in the Basic Algebra (Elementary Algebra or Algebra 1) series. It covers a technique to quickly find prime numbers and how to use some time-saving methods to determine if a natural number is prime or composite.
MathDBase
Brain Teasers Worksheet DY2 - Math problems & puzzles (Dare You!)

Brain Teasers Worksheet DY2 - Math problems & puzzles (Dare You!)

Subject: Math, Word Problems, Basic Math Grade Levels: 6th, 7th, 8th, 9th, 10th, 11th, 12th, Adult Education, Homeschool Resource Type: Worksheets (5 pages) This is the seventh worksheet in the Brain Teasers series. The Brain Teasers series of worksheets is a compilation of Mensa and SAT-style math problems and puzzles. These worksheets provide enrichment in basic Arithmetic, Plane Geometry and Algebra 1 concepts, coinciding with Common Core standards at grade 6 and above and requiring no more than a thorough understanding of that material. Each worksheet includes definitions of terms and formulas that are relevant to the problems on the specific sheet. There are four levels of sheets - Somewhat Easy (SE), Medium Difficulty (MD), Somewhat Difficult (SD) and Dare You! (DY), loosely graduated by difficulty on each worksheet.
MathDBase
Reference Cram Sheets - A Short Table of Integrals

Reference Cram Sheets - A Short Table of Integrals

Subject: Calculus, Mathematics, Study Skills Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type:Test Preparation/Reference (11 pages) This Table is comprised of the 259 indefinite and definite integrals most students will come across between their AP Calculus sequence through their sophomore year Linear Algebra and Differential Equations courses. It is organized in Algebraic, Trigonometric, Hyperbolic, Exponential and Logarithmic categories, with subcategories of various integrand types. The table starts with a one-page description of what a Table of Integrals is, how to use one, includes a detailed example and ends with a selection of 34 definite integrals from all of the categories.
MathDBase
Brain Teasers Worksheet SE2 - Math problems & puzzles (Somewhat Easy)

Brain Teasers Worksheet SE2 - Math problems & puzzles (Somewhat Easy)

Subject: Math Grade Levels: 6th, 7th, 8th, 9th, 10th, 11th, 12th, Adult Education, Homeschool Resource Type: Worksheet (4 pages) This is the fourth worksheet in the Brain Teasers series. The Brain Teasers series of worksheets is a compilation of Mensa and SAT-style math problems and puzzles. These worksheets provide enrichment in basic Arithmetic, Plane Geometry and Algebra 1 concepts, coinciding with Common Core standards at grade 6 and above and requiring no more than a thorough understanding of that material. Each worksheet includes definitions of terms and formulas that are relevant to the problems on the specific sheet. There are four levels of sheets - Somewhat Easy (SE), Medium Difficulty (MD), Somewhat Difficult (SD) and Dare You! (DY), loosely graduated by difficulty on each worksheet.
MathDBase
Brain Teasers Worksheet SE1 - Math problems & puzzles (Somewhat Easy)

Brain Teasers Worksheet SE1 - Math problems & puzzles (Somewhat Easy)

Subject: Math Grade Levels: 6th, 7th, 8th, 9th, 10th, 11th, 12th, Adult Education, Homeschool Resource Type: Worksheet (4 pages) This is the first worksheet in the Brain Teasers series. The Brain Teasers series of worksheets is a compilation of Mensa and SAT-style math problems and puzzles. These worksheets provide enrichment in basic Arithmetic, Plane Geometry and Algebra 1 concepts, coinciding with Common Core standards at grade 6 and above and requiring no more than a thorough understanding of that material. Each worksheet includes definitions of terms and formulas that are relevant to the problems on the specific sheet. There are four levels of sheets - Somewhat Easy (SE), Medium Difficulty (MD), Somewhat Difficult (SD) and Dare You! (DY), loosely graduated by difficulty on each worksheet.
MathDBase
Brain Teasers Worksheet MD1 - Math problems & puzzles (Medium Difficulty)

Brain Teasers Worksheet MD1 - Math problems & puzzles (Medium Difficulty)

Subject: Math Grade Levels: 6th, 7th, 8th, 9th, 10th, 11th, 12th, Adult Education, Homeschool Resource Type: Worksheet (4 pages) This is the fourth worksheet in the Brain Teasers series. The Brain Teasers series of worksheets is a compilation of Mensa and SAT-style math problems and puzzles. These worksheets provide enrichment in basic Arithmetic, Plane Geometry and Algebra 1 concepts, coinciding with Common Core standards at grade 6 and above and requiring no more than a thorough understanding of that material. Each worksheet includes definitions of terms and formulas that are relevant to the problems on the specific sheet. There are three levels of sheets - Somewhat Easy (SE), Medium Difficulty (MD) and Somewhat Difficult (SD), loosely graduated by difficulty on each worksheet.
MathDBase
Brain Teasers Worksheet MD2 - Math problems & puzzles (Medium Difficulty)

Brain Teasers Worksheet MD2 - Math problems & puzzles (Medium Difficulty)

Subject: Math Grade Levels: 6th, 7th, 8th, 9th, 10th, 11th, 12th, Adult Education, Homeschool Resource Type: Worksheet (4 pages) This is the fifth worksheet in the Brain Teasers series. The Brain Teasers series of worksheets is a compilation of Mensa and SAT-style math problems and puzzles. These worksheets provide enrichment in basic Arithmetic, Plane Geometry and Algebra 1 concepts, coinciding with Common Core standards at grade 6 and above and requiring no more than a thorough understanding of that material. Each worksheet includes definitions of terms and formulas that are relevant to the problems on the specific sheet. There are three levels of sheets - Somewhat Easy (SE), Medium Difficulty (MD) and Somewhat Difficult (SD), loosely graduated by difficulty on each worksheet.
MathDBase
Calculus Quiz - Integration by Alg Sub 1 - Algebraic Integrands w/ Solutions

Calculus Quiz - Integration by Alg Sub 1 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes (3 pages) This is the first quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have algebraic integrands. Included is a separate set of very detailed step-by-step solutions.
MathDBase
Brain Teasers Worksheet SD1 - Math probs & puzzles (Somewhat Difficult)

Brain Teasers Worksheet SD1 - Math probs & puzzles (Somewhat Difficult)

Subject: Math, Basic Math Grade Levels: 6th, 7th, 8th, 9th, 10th, 11th, 12th, Adult Education, Homeschool Resource Type: Worksheets (4 pages) This is the third worksheet in the Brain Teasers series. The Brain Teasers series of worksheets is a compilation of Mensa and SAT-style math problems and puzzles. These worksheets provide enrichment in basic Arithmetic, Plane Geometry and Algebra 1 concepts, coinciding with Common Core standards at grade 6 and above and requiring no more than a thorough understanding of that material. Each worksheet includes definitions of terms and formulas that are relevant to the problems on the specific sheet. There are three levels of sheets - Somewhat Easy (SE), Medium Difficulty (MD) and Somewhat Difficult (SD), loosely graduated by difficulty on each worksheet.
MathDBase
Challenge Problems Worksheets 1

Challenge Problems Worksheets 1

Subjects: Calculus, Geometry, Algebra 2 Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheet (6 pages), appropriate for an impromptu quiz This the first worksheet in the Challenge Problems series. Taken from Arithmetic through Calculus, these problems require not only an understanding of the basic concepts but, often, a bit of imagination. Any formula or definition (within reason) that is required to solve the problems will be given, all that the student has to supply is imagination and a little elbow grease. Each problem set is accompanied by a detailed set of solutions for each problem (sometimes more than one).
MathDBase
Reference Cram Sheets - Table of Derivatives

Reference Cram Sheets - Table of Derivatives

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Test Preparation This is a complete table of the derivatives of all algebraic, trigonometric, exponential, logarithmic and hyperbolic functions that students taking AP Calculus through sophomore Linear Algebra and Ordinary Differential Equations are likely to see. The table contains 49 items, including basic properties and derivative formulas with some variations. This Table of Derivatives was designed as a companion to the Short and longer-form Table of Integrals. .pdf will not open on phone, use a computer or tablet.
MathDBase
Basic Algebra Worksheet 5a - Pre-Algebra Review - Prime and Composite Numbers

Basic Algebra Worksheet 5a - Pre-Algebra Review - Prime and Composite Numbers

Subjects: Algebra, Mathematics, Basic Math Grade Levels: 8th, 9th, 10th, Adult Education, Homeschool Resource Type: Worksheet (4 pages) This is the fifth worksheet in the Basic Algebra (Elementary Algebra or Algebra 1) series. It reviews prime and composite numbers, complete factorization, identifying prime and composite numbers and how to write natural numbers as unique products of prime factors.
MathDBase
Basic Algebra Worksheet 4 – Pre-Algebra Review - Divisibility Rules 3

Basic Algebra Worksheet 4 – Pre-Algebra Review - Divisibility Rules 3

Subjects: Algebra, Mathematics, Basic Math Grade Levels: 8th, 9th, 10th, Adult Education, Homeschool Resource Type: Worksheet (4 pages) This is the fourth worksheet in the Basic Algebra (Elementary Algebra or Algebra 1) series. It reviews the divisibility rules for 11, 12, 15, 20 and 25 as well as investigating how to find other divisibility rules.
MathDBase
Basic Algebra Worksheet 6 – Pre-Algebra Review - Fundamentals of Exponents 1

Basic Algebra Worksheet 6 – Pre-Algebra Review - Fundamentals of Exponents 1

Subject: Algebra, Mathematics, Basic Math Grade Levels: 8th, 9th, 10th, Adult Education, Homeschool Resource Type: Worksheet (4 pages) This is the sixth worksheet in the Basic Algebra (Elementary Algebra or Algebra 1) series. It reviews exponential notation, positive and negative whole-number exponents, scientific notation, recognizing exponential numbers in different forms and evaluating numerical exponential expressions.
MathDBase
MathDBase Desktop Math Reference

MathDBase Desktop Math Reference

Subjects: Algebra, Geometry, Trigonometry Grade Levels: 7th, 8th, 9th, 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: E-books A handy reference with useful math facts from Arithmetic, Algebra, Geometry and Trigonometry. Revised version with additional Binomial Expansion information. Note: Trying to download and open this e-book on a phone usually causes a problem...there is no password required.
MathDBase