Multi-Step Coordinate Routes (Grade 6)
A route is a chain of moves on the grid — plot a start, then apply each step in order (a translation, then maybe a reflection) to find where you end up.
Understanding multi-step coordinate routes
The key is to do the steps in order, updating the point each time. Start at (2, 3), go right 3 → (5, 3), then up 2 → (5, 5).
Seeing it in action
Worked example
Start at (2, 3). Step 1: right 3. Step 2: up 2. Where do you end?
Right 3: (2 + 3, 3) = (5, 3). Up 2: (5, 3 + 2) = (5, 5).
Update the point after each move.
A common mistake, and the fix
Applying every step to the starting point.
From (2, 3), right 3 gives (5, 3), and “up 2” then moves (5, 3), giving (5, 5). Applying “up 2” to the start gives (2, 5) and loses the first move. Write down the point after each step.
Try a few
Start (0, 0), right 4, up 1
Start (1, 1), up 3, right 2
Start (5, 5), left 2, down 2
Try it in Numeris.
A short lesson, then practice with feedback on every answer.
Put the reasoning on paper.
Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.
Free printable · 3 pagesText version (screen-reader friendly): Draw it. Explain it. Math sample
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