Curriculum placement
Grade 6. This describes the skill, not a learner estimate.
Positive and negative numbers
Use signed numbers to represent opposite quantities
Problem types
- Place a number among whole, integer and rational numbers
- Place numbers in nested number sets
- Balance a check register
- Signed numbers for opposite directions
- Opposites on a number line
Builds on
- Sums and differences on a number line
- Regrouping within 1,000 · Useful idea
A running balance adds and subtracts three-digit amounts, and regrouping gives the new balance even when it falls below zero.
Leads to
- Ordering numbers and absolute value
- Coordinates in four quadrants
- Inequalities on a number line
- Adding and subtracting signed numbers
- Which number systems stay closed · Extend the idea
Sorting numbers into whole, integer and rational sets begins checking whether each set is closed under an operation.
Related skills
- Categories and subcategories of shapes · Related idea
Nested classes of shapes work like nested sets of numbers: every integer is a rational number, as every square is a rectangle.
- Graphing in the first quadrant · Shared foundations
Open the interactive map to explore lessons and skill connections.