Insights By Scott Ernst

Project Autodidact

Project Details: https://insightsbyse.com/projectautodidact/

Scott Ernst Bio: https://insightsbyse.com/aboutscotternst/

Project Contact: InsightsBySE@protonmail.com

Progress Report Scope (S01-M01-D01-AllParts)

Stage 1 of 4: Review of Mathematics, Probability, and Statistics

Module 1 of 3: Foundations of Arithmetic and Algebra

Day 1 of 5: Basic Arithmetic and Number Systems

Parts 1 through 10: See below

Summary Of Goals Achieved

1. Reviewed basic arithmetic operations (addition, subtraction, multiplication, and division)
2. Reviewed definition, notation, terminology, components, and properties of real numbers (identity property, commutative property, associative property, inverse property, distributive property, zero property of multiplication, and zero property of division)
3. Reviewed procedures for conversion between fractions, decimals, and percentages
4. Reviewed definition, notation, terminology, components, and properties of two fundamental types of real numbers: (1) rational numbers (integers, whole numbers, and natural numbers) and (2) irrational numbers
5. Reviewed definition, notation, terminology, components, and properties of set theory and associated symbols
6. Reviewed definition, notation, terminology, components, and properties of set operations (identity property, commutative property, associative property, distributive property, complement property, idempotent property, and De Morgan’s Laws)
7. Reviewed rules for order of operations for mathematical expressions (PEMDAS)
8. Reviewed procedures to simplify ratios and proportions
9. Reviewed definition, notation, terminology, components, and concept of ratio equivalence and procedures to calculate ratio equivalence
10. Reviewed procedures of cross-multiplication to solve proportions
11. Reviewed methods to calculate greatest common divisor (GCD) by (1) Euclidean algorithm (preferred method) or (2) prime factorization
12. Reviewed procedures to calculate lowest common multiple (LCM) by the LCM formula
13. Reviewed methods for solving word problems by converting words to mathematical expressions
14. Reviewed definition, notation, terminology, components, and properties of exponents (zero exponent property, negative exponent property, product property, quotient property, power property, power of a product property, and power of a quotient property)
15. Reviewed procedures for unit conversions and dimensional analysis
16. Reviewed definition, notation, terminology, and components of summation notation

Part 1 of 10

Goal 1 Statement: Review basic arithmetic operations (addition, subtraction, multiplication, and division)

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review definition, notation, terminology, components, and properties of real numbers (identity property, commutative property, associative property, inverse property, distributive property, zero property of multiplication, and zero property of division)

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Part 2 of 10

Goal 1 Statement: Review procedures for conversion between fractions, decimals, and percentages

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review definition, notation, terminology, components, and properties of two fundamental types of real numbers: (1) rational numbers (integers, whole numbers, and natural numbers) and (2) irrational numbers

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Part 3 of 10

Goal 1 Statement: Review definition, notation, terminology, components, and properties of set theory and associated symbols

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review definition, notation, terminology, components, and properties of set operations (identity property, commutative property, associative property, distributive property, complement property, idempotent property, and De Morgan’s Laws)

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Part 4 of 10

Goal 1 Statement: Review rules for order of operations for mathematical expressions (PEMDAS)

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 5 of 10

Goal 1 Statement: Review procedures to simplify ratios and proportions

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review definition, notation, terminology, components, and concept of ratio equivalence and procedures to calculate ratio equivalence

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Goal 3 Statement: Review procedures of cross-multiplication to solve proportions

Goal 3 Plan: Read source materials

Goal 3 Work Product: None

Goal 3 Result: Completed

Part 6 of 10

Goal 1 Statement: Review methods to calculate greatest common divisor (GCD) by (1) Euclidean algorithm (preferred method) or (2) prime factorization

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Goal 2 Statement: Review procedures to calculate lowest common multiple (LCM) by the LCM formula

Goal 2 Plan: Read source materials

Goal 2 Work Product: None

Goal 2 Result: Completed

Part 7 of 10

Goal 1 Statement: Review methods for solving word problems by converting words to mathematical expressions

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 8 of 10

Goal 1 Statement: Review definition, notation, terminology, components, and properties of exponents (zero exponent property, negative exponent property, product property, quotient property, power property, power of a product property, and power of a quotient property)

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 9 of 10

Goal 1 Statement: Review procedures for unit conversions and dimensional analysis

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed

Part 10 of 10

Goal 1 Statement: Review definition, notation, terminology, and components of summation notation

Goal 1 Plan: Read source materials

Goal 1 Work Product: None

Goal 1 Result: Completed