Complexity Factor 3. Complexity of mathematical information/answer required
How complex is the mathematical information that needs to be manipulated?
Score 1 Score 2 Score 3Score 4Score 5
Context
Based on very concrete, real life activities, familiar to most in daily life. Based on common, real life activities. Based on real life activities, but less often encountered. Based on real life activities but unfamiliar to most Based on abstract ideas or unfamiliar activity in a context new to most.
Quantity
Whole numbers to 1,000
Fractions, decimals, percents
  • benchmark fractions (½, ¼, ¾)
  • decimal fraction for a half only (0.5) and equivalent as a percentage (50%)
  • large whole numbers including millions
  • other benchmark fractions, like 1/3 and 1/10
  • common decimals, like 0.1, 0.25 to 2 decimal places
  • common whole number percents, like 25% and 10%.
  • large whole numbers including billions
  • other fractions
  • decimals to 3 decimal places (other than money)
  • all whole number percents
  • negative integers
  • all remaining fractions, decimals and percentages
  • all remaining types of rational (and some irrational) numbers including directed numbers
Pattern and relationship
  • very simple whole number relations and patterns
  • simple whole number rates and ratios
  • whole number relations and patterns
  • rates and ratios
  • relations and patterns including written everyday generalizations
  • complex ratios, relations, patterns
  • simple formula
  • formal mathematical information such as more complex formulae, knowledge of relationships between dimensions or variables, etc
Measures/Dimension/Space
  • standard monetary values
  • common everyday measures for length (whole units)
  • time (dates, hours, minutes)
  • simple, common 2D shapes
  • simple localised maps or plans (no scales)
  • everyday standard measures length, weight, volume, and decimal units
  • common 3D shapes and their representation via diagrams or photos
  • common types of maps or plans with visual scale indicators
  • other everyday measures (area included) including fraction and decimal values
  • more complex 2D and 3D shapes, or a combination of 2 shapes
  • area and volume formulae
  • common types of maps or plans with ratio type scales
  • all kinds of measurement scales
  • complex shapes or combinations of shapes
Chance/Data
  • simple graphs, tables, charts with few parameters and whole number values
  • simple whole number data or statistical information in text
  • graphs, tables, charts with common data including whole number percents—whole number scales in 1s, 2s, 5s or 10s
  • data or statistical information including whole number percents
  • graphs, tables, charts with more complex data (not grouped data)
  • more complex data or statistical information including common average, chance and probability values
  • scales: more complex whole number, fractional or decimal
  • complex graphs, tables or charts including grouped data
  • complex data or statistical information including probabilities, measures of central tendency and spread