Addition as motion
Hop along a number line and leave a visible trail. This standalone playground makes direction, distance, and operation signs visible.
A number line turns numbers into positions and operations into motion. Hopping forward is addition, hopping backward is subtraction — and equal-size hops are the seed of skip counting and multiplication.
Aligned with CCSS 2.MD.B.6 (represent whole-number sums and differences on a number line).
Move by equal jumps and watch addition become distance.
Number sense playground
Number Line Hopper is built for students who need motion, distance, and counting patterns before symbolic operations. It gives the page a clear search purpose: learn the model, manipulate it, then continue into the matching grade-level practice.
Number Line Hopper helps when a student can copy a procedure but cannot explain why it works. The demo slows the idea down into a visible model before sending the learner to guided missions.
Learning goals
How to play
Continue with guided practice
Start at the first number, then hop right by the second. 7 + 5 lands at 12 because you start at 7 and move 5 spots right.
Subtraction asks "how far back?" 12 − 5 hops left from 12 and lands at 7. The result is the new position, not the size of the hop.
Equal hops in a row: 0, 5, 10, 15 is "skip count by 5." It is the seed of multiplication — five 3-hops land you at 15 = 5 × 3.
Grades 1–2, aligned with CCSS 2.MD.B.6. The same model later supports integers, fractions, and rational numbers.
