Principles and Standards for School Mathematics
Understand patterns, relations, and functions
Expectations (3 - 5)
represent and analyze patterns and functions, using words, tables, and graphs.
Use mathematical models to represent and understand quantitative relationships
Expectations (3 - 5)
represent and analyze patterns and functions, using words, tables, and graphs.
model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Analyze change in various contexts
Expectations (Pre-K - 2)
describe qualitative change, such as a student's growing taller;
describe quantitative change, such as a student's growing two inches in one year.
Expectations (3 - 5)
represent and analyze patterns and functions, using words, tables, and graphs.
model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Understand measurable attributes of objects and the units, systems, and processes of measurement
Expectations (Pre-K - 2)
recognize the attributes of length, volume, weight, area, and time;
select an appropriate unit and tool for the attribute being measured.
Expectations (3 - 5)
understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute;
understand that measurements are approximations and how differences in units affect precision;
Apply appropriate techniques, tools, and formulas to determine measurements.
Expectations (Pre-K - 2)
recognize the attributes of length, volume, weight, area, and time;
select an appropriate unit and tool for the attribute being measured.
use tools to measure;
Expectations (3 - 5)
understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute;
understand that measurements are approximations and how differences in units affect precision;
select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles;
Recognize and apply mathematics in contexts outside of mathematics
Use representations to model and interpret physical, social, and mathematical phenomena