Number Trails: Connect Signed Tiles Until the Trail Hits the Target Sum
Draw a path through adjacent positive and negative tiles, updating a running total after every step until it lands exactly on the target sum. Each move trains you to hold the current total in mind while a mix of signs pushes it up and down.
One Signed Sum Is Easy — A Whole Trail Asks You to Never Drop the Running Total
Most Grade 6 students can add one signed pair like -4 + 7 without hesitating. The trouble starts when four or five tiles fire in a row and each new sign nudges the total the other way, so the current value quietly slips. Number Trails pins that value to the screen: every tile you connect redraws the trail line and refreshes the running total, so a misread sign shows up as a total that drifts past the target instead of closing in. Because you watch the gap shrink or grow, choosing the next tile becomes a deliberate signed-number decision rather than a guess.
Grade 6: Turning Single Integer Facts Into Sustained Signed Reasoning
The game builds on number-line placement of positive and negative numbers (6.NS.C.5) and ordering signed values (6.NS.C.7), then stretches those facts across a multi-step path. Holding a running total steady through mixed signs is exactly the habit Grade 7 needs for rational-number addition and subtraction (7.NS.A.1). Students who can chain integer moves here move into rational arithmetic without relearning sign direction.
Three Integer Skills Practiced While Drawing the Trail
- Track a running total as each positive or negative tile is added.
- Interpret sign direction: adding a positive increases the sum, while adding a negative decreases it.
- Plan a path through neighboring tiles that moves the total toward the target sum.
Three Moves to Build the Trail: Read, Connect, Track
- Read the target sum and decide whether the path needs to trend positive, negative, or toward zero.
- Start on an integer tile and connect adjacent tiles to draw the trail line.
- Update the running total after each tile and compare it with the target sum.
- Submit when the trail line total matches the target.
Five-Minute Teacher Routine: Say the Running Total
During one round, require students to say each new running total aloud. It reveals sign errors quickly and helps transfer integer addition into multi-step paths.
Number Trails Questions Teachers Hear
Q: Why does my student forget the total halfway through?
A: Have the student say the running total after every tile. Speaking the total keeps the signed changes from disappearing mentally.
Q: Should students avoid negative tiles?
A: No. Negative tiles can bring an oversized total back toward the target. The choice depends on the current total and the target sum.