Growing Visual

Growing Visual practice with teacher guidance, common slips, and next-step routes.

Core · Growing Visual · Independent practice · Scalar Entry

Each Frame is a complete triangular grid. The next Frame adds one full bottom row of small triangles. A bar shared by two triangles counts once. How many bars are in Frame 100?

Target: Frame 100

Frame 1

Frame 2

Frame 3

Your Value

Your Value

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Print: Ages 10–11 · 5–10 min · Challenge · Growing Visual · Reasoning · Value entry

Watch: Watch whether the learner identifies that Frame n adds n bars in each of three directions and then accumulates those additions through Frame 100. Decisive evidence is a total based on 3 × (1 + 2 + … + 100), not only 300 or 5050.

Misread: A learner may count small triangles instead of bars, count a shared bar twice, or report only the bars added at Frame 100. Re-anchor the noun “bar,” the action “count the complete frame,” and the answer as one total number.

Curriculum: This task develops generalizing a visual growing pattern through a linear first-difference rule and evaluating the resulting triangular-number total. The scored skill is exact extension and counting of unique edges, not knowledge of the display-frame context.