Time!
Big Ideas!
GM2-2: Partition and/or combine like measures and communicate them, using numbers and units.
GM3-1: Use linear scales and whole numbers of metric units for time.
GM4-1: Use appropriate scales, devices, and metric units for time.
GM4-4: Interpret and use scales, timetables, and charts.
Learning Objectives
Explore time by comparing durations of events.
Use the language of measurement to compare attributes.
Use the same standard unit repeatedly to measure attributes (iteration).
Select the appropriate measurement device for purpose.
Patterns and Relationships!
Big Ideas!
Patterns are sequences (repeating or growing) made of numeric or spatial elements governed by a rule.
Patterns exist both in the world and in mathematics. The same pattern structure can be found in many different forms (e.g.,numbers, shapes, colours, and rhythm).
A pattern can be described using a rule or you can create a pattern from a rule. To find the rule for a pattern, you need to identify the unit of the pattern (what is repeated or what grows).
In a pattern, the relationship between the ordinal position (e.g.,first, second, and third) and the corresponding element is moreuseful for finding the pattern’s rule than the relationship between successive elements. Identifying the rule of a pattern brings predictability and allows generalisations to be developed.
Generalisations can be expressed with both words and symbols.
Variables are symbols that take the place of numbers, or ranges of numbers. They have different meanings depending on whether they are being used as representations of quantities that vary or change, representations of specific unknown variables, or placeholders in a generalised expression or formula.
Learning Objectives
Find rules for the next member in a sequential pattern.
Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality.
Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.
Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.