Tile patterns - Primary KS1 teaching resource - Scholastic - Free Printable

Let’s solve this step by step.

We are given dot grids and some starting shapes made from triangles, hexagons, or diamonds. Our job is to continue the pattern — that means we need to see how the shape repeats or grows, then draw the next part of it on the dots.

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1. Triangles (top left)
Looking at the first triangle pattern:
It starts with two triangles sharing a side, pointing in opposite directions — like a bowtie. Then there’s another triangle attached to the right, pointing up.
Actually, let’s look closer: The first figure has 3 small triangles forming a larger triangle shape? Wait — no, looking again:
The first box under “Triangles” shows a shape made of 4 small triangles arranged in a diamond-like shape (two pointing up, two pointing down). But actually, counting the lines: It looks like a zigzag line made of 3 connected triangles — like a mountain range with 3 peaks? Hmm.

Wait — better approach: Look at the *direction* and *connection*.
In the first triangle example:
- First triangle points up-right.
- Second shares a side and points down-right.
- Third shares a side and points up-right again.
So it’s alternating: up, down, up... So the next one should point down-right.

But actually, looking at the drawing: It’s a chain of triangles where each new triangle is added to the right, alternating direction. So after the third triangle (pointing up), the fourth should point down, attached to the right side.

On the dot grid, you’d connect the dots to make a triangle pointing downward, attached to the last upward-pointing triangle.

Similarly, the second triangle example (top right):
It shows three triangles stacked vertically, all pointing to the right? Actually, they’re drawn as right triangles, each sharing a vertical side. They form a staircase going down to the right. Each triangle is identical and placed below the previous one, shifted right by one dot.

So to continue: Add another identical right triangle below the last one, shifted right by one dot — so its top-left corner connects to the bottom-right corner of the previous triangle.

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2. Hexagons (middle left)
First hexagon is complete. Then a second hexagon is started — sharing one side with the first. So it’s a honeycomb pattern. To continue: Draw the rest of the second hexagon, then start a third hexagon sharing a side with the second.

Hexagons have 6 sides. When you attach them, they share one full side. So after the first hexagon, the second is drawn to the right, sharing the rightmost side. Then the third would be drawn below or above? In the image, it looks like it’s continuing to the right — so draw the next hexagon to the right of the second one.

Actually, looking at the partial drawing: After the first full hexagon, there’s a V-shape starting the second hexagon — meaning two sides are drawn. You need to complete those 4 more sides to finish the second hexagon, then start the third.

But since the instruction says “continue the patterns”, and only part of the second hexagon is drawn, you should complete the second hexagon and begin the third.

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3. Diamonds (middle right)
A diamond is a rhombus — 4 equal sides. The first diamond is drawn. Then nothing else — but the pattern likely continues by adding more diamonds in a row or column.

Looking at the position: The diamond is centered. Probably, the pattern is to add more diamonds to the right, each sharing a vertex or a side? Since it’s a single diamond shown, and the grid is empty, maybe it’s meant to repeat the same diamond shape to the right.

But diamonds can tile in rows. So draw another identical diamond to the right, sharing the rightmost point or side? Actually, if you place diamonds side by side, they often share a vertical diagonal.

Best guess: Repeat the same diamond shape every 2 dots to the right. So draw a second diamond starting 2 dots to the right of the first one’s center.

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Now for the design your own section:

You can create any pattern using triangles, rectangles, octagons, etc. For example:

- Pattern 1: Draw a rectangle (using 4 dots: 2 wide, 1 high), then repeat it every 3 dots to the right.
- Pattern 2: Draw an octagon? That’s hard on dot paper. Maybe use squares instead — draw a square, then another square attached to its right side, and so on.

Or simpler: Use triangles to make a zigzag line across the page.

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Final Answer:

For the Triangles (left): Continue the zigzag by adding a downward-pointing triangle attached to the right of the last upward-pointing triangle.

For the Triangles (right): Add another right-pointing right-triangle below the last one, shifted right by one dot.

For the Hexagons: Complete the second hexagon (draw the remaining 4 sides), then start the third hexagon to the right of the second.

For the Diamonds: Draw a second identical diamond to the right, spaced so that their centers are 2 dots apart horizontally.

For Design Your Own:
- Left grid: Draw a repeating pattern of squares (each 2x2 dots) in a row.
- Right grid: Draw a repeating pattern of upward-pointing triangles in a row, each sharing a base with the next.

(Note: Since this is a visual task, the actual answer requires drawing on the grid. Above describes what to draw.)