Explorations in Mathematics
Credits: 1 Units
Course ID: MAG01
Course Area: Math
Description: Fundamental math for real-world applications. You'll learn how to solve problems using prime factorization, operations with rational numbers, operations with integers, equations, properties of real numbers and basic statistics and how you can use these as tools in your everyday life.
Course Outline:
- Unit 1:
- Lesson 1: Divisibility patterns
- Lesson 2: Prime factorization
- Lesson 3: Greatest common factor
- Lesson 4: Rational numbers and reducing
- Lesson 5: Adding and subtracting rational numbers with like denominators
- Lesson 6: Least common multiple
- Lesson 7: Adding and subtracting rational numbers with unlike denominators
- Lesson 8: More subtracting rational numbers with unlike denominators
- Lesson 9: Multiplying rational numbers
- Lesson 10: Dividing rational numbers
- Unit 2:
- Lesson 11: Variables, expressions and equations
- Lesson 12: Associative property of addition and multiplication
- Lesson 13: Commutative property of addition and multiplication
- Lesson 14: Order of operations
- Lesson 15: Additive and multiplicative identity property
- Lesson 16: Additive inverse property
- Lesson 17: Multiplicative inverse property
- Lesson 18: Distributive property
- Lesson 19: Using the distributive property
- Lesson 20: Using properties to simplify expressions
- Unit 3:
- Lesson 21: Addition and subtraction property of equality
- Lesson 22: Multiplication and division property of equality
- Lesson 23: Integers: absolute value and comparing
- Lesson 24: Adding and subtracting integers
- Lesson 25: Multiplying and dividing integers
- Lesson 26: Reflexive, symmetric, transitive and substitution properties
- Lesson 27: Solving one-step equations
- Lesson 28: Applications of one-step equations
- Lesson 29: Solving multiple-step equations
- Lesson 30: Applications of multiple-step equations
- Unit 4:
- Lesson 31: Direct variation
- Lesson 32: Inverse variation
- Lesson 33: Mean and mode
- Lesson 34: Median and quartiles
- Lesson 35: Box and whisker plots
- Lesson 36: Counting principle
- Lesson 37: Permutations
- Lesson 38: Combinations
- Lesson 39: Probability
- Lesson 40: Application of probability
Items Provided by Students: None |