External
Math 75X: Introduction to Mathematical Reasoning
- Author
- J. Maureen Kearns
- Publisher
- Honolulu Community College
- Source
- LibreTexts
- Language
- EN
- Category
- Basic Sciences
Contents· 73 sections
- 01: Whole Numbers and Integers
- 1.00: Introduction to the Whole Numbers- Place Value and Number Lines
- 1.02: Combining Whole Numbers- Addition and Subtraction with Whole Numbers
- 1.03: Introduction to the Integers
- 1.04: Combining Integers- Addition and Subtraction with Integers
- 1.4.00: Adding Integers
- 1.4.02: Subtracting Integers
- 1.05: Copies of Whole Numbers- Multiplication and Division with Whole Numbers
- 1.06: Pieces of Multiplication- Prime Factorization of Whole Numbers
- 1.07: Reflected Copies of Whole Numbers- Multiplication and Division with Integers
- 1.08: What to Combine Order of Operations with Integers
- 02: Fractions and Rational Numbers
- 2.00: Introduction to Fractions- Concept
- 2.02: Equivalent Fractions
- 2.03: Combining Fractions- Addition and Subtraction with Rational Numbers
- 2.3.00: Adding and Subtracting Fractions
- 2.3.02: Adding and Subtracting Mixed Numbers
- 2.04: Copies of Fractions- Multiplication and Division with Rational Numbers
- 2.4.00: Multiplying Fractions
- 2.4.02: Dividing Fractions
- 2.4.03: Multiplying and Dividing Mixed Numbers
- 2.05: What to Combine Order of Operations with Rational Numbers
- 03: More Types of Fractions- Decimals Percents Ratios and Rates
- 3.00: Introduction to Decimals- Place Value and Reading
- 3.02: Decimals as Fractions and Fractions as Decimals
- 3.03: Combining Decimals- Addition and Subtraction with Decimals
- 3.04: Copies of Decimals- Multiplication and Division with Decimals (Suggest Going Through Fractionland)
- 3.4.00: Multiplying Decimals
- 3.4.02: Dividing Decimals
- 3.05: Introduction to Percents- Percents as Fractions and Decimals
- 3.06: Visualizing Percents
- 3.6.00: Pie Charts
- 3.6.02: Solving Basic Percent Problems
- 3.6.03: General Applicants of Percent
- 3.07: Percent Increase and Percent Decrease
- 3.08: Introduction to Ratios and Rates
- 04: Fundamentals of Algebra
- 4.00: What is a Variable
- 4.02: Mathematical Expressions (NOT Equations)
- 4.03: Evaluating (NOT Solving) Algebraic Expressions
- 4.04: Simplifying (Still Not Solving) Algebraic Expressions)
- 4.4.00: Simplifying Algebraic Expressions
- 4.4.02: Combining Like Terms
- 4.05: Visualizing Mathematical Equations- A Balance
- 4.06: Solving Equations- Keeping the Balance
- 4.6.00: Solving Equations Involving Integers
- 4.6.02: Solving Equations with Fractions
- 4.6.03: Equations with Decimals
- 4.07: Formulas
- Fomulae (NOT Algorithms)- Equations with Context
- 4.7.1.00: Formulae
- 05: Using Algebra- Writing Solving and Manipulating Some Different Types of Equations
- 5.00: Formulas in Geometry
- 5.02: Square Roots
- 5.03: Interest
- 5.04: Proportions- Equations Between Ratios
- 5.05: Unit Conversion - American System
- 5.06: Unit Conversion- Metric System
- 5.07: Converting Between American Units and Metric Units
- 06: More to Algebra Than Just (Linear) Equations
- 6.00: What Does it Mean to Be a Solution?
- 6.02: Inequalities
- 6.03: Polynomials Expressions and Equations in One and Two Variables
- 6.04: Exponential Expressions and Equations
- 07: Introduction to Graphing
- 7.00: Graphing by Hand in the Two-Dimensional Rectangular Coordinate System
- 7.02: Rates and Slope
- 7.03: Slope-Intercept Form of a Line
- 7.04: Point-Slope Form of a Line
- 7.05: Standard Form of a Line
- 7.06: Graphing Two-Dimensional Objects Other Than Lines
- 7.07: Some Other Types of Graphing Systems- Three-Dimensional Rectangular Coordinates, Spherical, Longitude, Latitude, Navigation
- 08: Statistics and Graphing