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

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

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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.
Challenge Problems Worksheets 1
MathDBase

Challenge Problems Worksheets 1

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

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

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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.
Basic Algebra Worksheet 7 - Pre-Alg Rev. - Fundamentals of Exponents 2 - Basic Rules 1
MathDBase

Basic Algebra Worksheet 7 - Pre-Alg Rev. - Fundamentals of Exponents 2 - Basic Rules 1

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Subject: Algebra, Mathematics, Basic Math Grade Levels: 8th, 9th, 10th, Adult Education, Homeschool Resource Type: Worksheet (4 pages) This is the seventh worksheet in the Basic Algebra (Elementary Algebra or Algebra 1) series. It provides practice in using some of the rules of integer exponents, the remaining integer exponent rules will be reviewed in the next worksheet.
Reference Cram Sheets - Table of Derivatives
MathDBase

Reference Cram Sheets - Table of Derivatives

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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.
Calculus Worksheet - Derivatives by Definition 2 - Radical Functions
MathDBase

Calculus Worksheet - Derivatives by Definition 2 - Radical Functions

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Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheet (5 pages) This is the second worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of radical functions by the definition.
Basic Algebra Worksheet 4 – Pre-Algebra Review - Divisibility Rules 3
MathDBase

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

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

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

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

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

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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.
Challenge Problems Worksheets 2
MathDBase

Challenge Problems Worksheets 2

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Subject: Calculus, Geometry, Algebra 2 Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (6 pages), appropriate for an impromptu quiz This the second 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).
Brain Teasers Worksheet MD1 - Math problems & puzzles (Medium Difficulty)
MathDBase

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

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

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

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

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

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

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

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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 Desktop Math Reference
MathDBase

MathDBase Desktop Math Reference

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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.