Integers, PEMDAS & Divisibility - Concept Map
Numerical Operations and Properties
Related concepts
Integers
Sub concepts
- Positive integers
- Negative integers
- Zero properties
- Law of signs
- Absolute value
- Integer operations
Relationship to central
Foundation for all numerical operations
PEMDAS Order of Operations
Sub concepts
- Parentheses first
- Exponents second
- Multiplication and Division left-to-right
- Addition and Subtraction left-to-right
Relationship to central
Rules governing how to perform multiple operations correctly
Divisibility Rules
Sub concepts
- Divisibility by 2,5,10
- Divisibility by 3,6,9
- Divisibility by 4,8
- Divisibility by 7,11,12
Relationship to central
Quick methods to determine if numbers divide evenly
Factors and Multiples
Sub concepts
- Prime factors
- Composite numbers
- GCF and LCM
- Common factors
- Common multiples
Relationship to central
Related concepts that help understand number relationships
Concept connections
- IntegersPEMDASIntegers are the numbers used in PEMDAS operations
- PEMDASDivisibilityPEMDAS helps evaluate expressions before applying divisibility tests
- DivisibilityFactors and MultiplesDivisibility rules help find factors and determine multiples
- IntegersFactors and MultiplesFactors and multiples are relationships between integers
- Absolute ValueLaw of SignsAbsolute value is used when applying sign rules in integer operations
- Prime FactorsDivisibility RulesPrime factorization helps understand why divisibility rules work
- GCF and LCMDivisibilityFinding GCF and LCM often requires checking divisibility
- Zero PropertiesPEMDASSpecial zero properties affect calculations in PEMDAS
Diagrams
Complete Chapter Concept Map - Integers, PEMDAS & Divisibility
This comprehensive mind map shows how integers form the foundation for understanding PEMDAS operations and divisibility rules, with factors and multiples connecting all concepts together.
PEMDAS Order of Operations Process Flow
Step-by-step flowchart showing exactly how to apply PEMDAS rules when solving mathematical expressions, ensuring correct order of operations.
Divisibility Testing Decision Tree
Decision tree for quickly testing divisibility using the most common rules, helping students systematically check if a number is divisible by 2, 3, 4, 5, 6, or 9.
Integer Operations with Signs Process
Flowchart showing the law of signs for integer operations, helping students understand when results are positive or negative in addition, subtraction, multiplication, and division.