The Number System Progression Map
Extending arithmetic to negative numbers, rational numbers, and irrationals in middle school.
Hover a standard to trace what it builds on and what it leads to. Click for details. Solid lines are essential prerequisites, dashed lines are supporting connections. A dashed outline marks a connected standard from a neighboring topic.
How to read this map
Each chip is one standard, placed in its grade. A line between two standards means the earlier one was verified as a prerequisite for the later one, against the official framework documents and published curriculum progressions. If a student is stuck on a standard, look one column left. If they have mastered it, the lines to the right show where that skill goes next. Every chip links to a full breakdown of the standard with teaching ideas. How these connections are verified.
More Common Core Math maps
- Operations & Algebraic Thinking
Grades K to 5
- Number & Operations in Base Ten
Grades K to 5
- Number & Operations: Fractions
Grades 3 to 5
- Measurement & Data
Grades K to 5
- Geometry
Grades K to 8
- Ratios & Proportional Relationships
Grades 6 to 7
- Expressions & Equations
Grades 6 to 8
- Statistics & Probability
Grades 6 to 8