Math 75X: Introduction to Mathematical Reasoning

Mathematics

Tác giả: J. Maureen Kearns
Nhà xuất bản: Honolulu Community College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 73 mục

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