Ratio, Proportion & Percentage - Concept Map
Ratio, Proportion & Percentage
Related concepts
Ratio
Sub concepts
- Basic ratio definition
- Expressing ratios
- Simplifying ratios
- Converting mixed numbers to ratios
- Three-term ratios
Relationship to central
fundamental building block
Proportion
Sub concepts
- Cross multiplication
- Finding unknown terms
- Direct proportion
- Rate and speed problems
- Scale and measurement
Relationship to central
application of ratio equality
Percentage
Sub concepts
- Finding rate or percentage
- Finding base or original value
- Discount and markup
- Tax calculations
- Profit and loss
- Depreciation
Relationship to central
special ratio with base 100
Word Problems
Sub concepts
- Student surveys
- Shopping and commerce
- Transportation problems
- Financial calculations
- School enrollment scenarios
Relationship to central
real-world applications
Concept connections
- RatioProportionProportion is equality of two ratios
- RatioPercentagePercentage is a ratio with denominator 100
- ProportionCross MultiplicationCross multiplication solves proportion equations
- PercentageDecimal ConversionPercentages convert to decimals for calculations
- Word ProblemsAll ConceptsReal-world applications require all three concepts
- Finding RateSurvey ProblemsSurveys often require calculating rates and percentages
- Finding BaseOriginal Price ProblemsFinding original prices from discounted amounts
- Profit CalculationsDepreciationBoth involve comparing new and original values
- Tax CalculationsDiscount CalculationsSimilar formulas but opposite operations
- Three-term RatiosComplex ProportionsMulti-variable proportion problems
Diagrams
Complete Concept Map: Ratio, Proportion & Percentage
Comprehensive mind map showing all key concepts, their relationships, and subcategories in the chapter
Problem-Solving Process for Proportion Problems
Step-by-step flowchart for solving proportion word problems systematically
Percentage Problem Classification and Solution Method
Decision tree for identifying and solving different types of percentage problems
Distribution of Problem Types in Civil Service Exams
Shows the relative frequency of different problem types typically encountered in Philippine civil service examinations