Number Line Hopper
Addition as motion
Hop along a number line and leave a visible trail. This standalone playground makes direction, distance, and operation signs visible.
What this game shows · Number Line as Motion
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.
- Position
- each number is one fixed spot on the line.
- Hop
- a move of fixed length — +5 means 5 to the right.
- Distance
- the gap between two positions, never negative.
Aligned with CCSS 2.MD.B.6 (represent whole-number sums and differences on a number line).
Number line hopper
Move by equal jumps and watch addition become distance.
Number line, in motion.
01 How does the number line model addition? + moves right
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.
02 How is subtraction different from a negative hop? − moves left
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.
03 What is skip counting? Skip count
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.
04 Which grade is this game for? Grades 1–2
Grades 1–2, aligned with CCSS 2.MD.B.6. The same model later supports integers, fractions, and rational numbers.