Patterns Worksheet for Teachers | Perfect for grades 1st, 2nd, 3rd ... - Free Printable

Let’s solve each pattern one by one. We’ll look at what repeats or changes, and then figure out what comes next.

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Pattern 1: ★ □ ★ □ ___ ___

We see: star, square, star, square...

It’s alternating: star → square → star → square → so next should be star, then square.

✔ Next two: ★ □

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Pattern 2: ○ △ ○ △ ___ ___

Circle, triangle, circle, triangle...

Again, alternating: circle → triangle → circle → triangle → so next is circle, then triangle.

✔ Next two: ○ △

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Pattern 3: △ △ □ □ △ ___ ___

Two triangles, two squares, then one triangle...

Wait — let’s group them:

△ △ | □ □ | △ ? ?

After two triangles and two squares, we have one triangle. That suggests the pattern might be repeating every 4 shapes? But we only have 5 shown.

Actually, maybe it’s: two of one shape, two of another, then back to the first?

So: △ △ (two triangles), □ □ (two squares), then △ (start again with triangles) → so next should be another △, then probably □ □ again? But we only need two blanks.

Looking at position:

1: △
2: △
3: □
4: □
5: △
6: ? → should be △ (to complete “two triangles” again)
7: ? → then □ (to start the pair of squares)

But wait — after five items, if the pattern is “two triangles, two squares”, then item 5 starts a new cycle: so item 5 = △, item 6 = △, item 7 = □

Yes! So next two: △ □

✔ Next two: △ □

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Pattern 4: 🍎 🍎 🍎 ___ ___ ___

Three apples, then one banana.

What could come next? Maybe it’s grouping: three apples, then one banana — and then repeat?

So after 🍌, we go back to apples? Then next three would be: 🍎 🍎 🍎

But we only have three blanks.

If the pattern is: [🍎🍎] [🍌] [🍎🍎🍎] [🍌] ... then after the banana, we start over with three apples.

So blanks 1,2,3: 🍎 🍎

✔ Next three: 🍎 🍎

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Pattern 5: 🌳 🍎 🌳 🍎 ___ ___

Tree, apple, tree, tree, apple...

Let’s list positions:

1: 🌳
2: 🍎
3: 🌳
4: 🌳
5: 🍎
6: ?
7: ?

Look at groups:

Maybe: 🌳 | 🌳 🍎 | ???

Not obvious.

Another way: count how many trees between apples.

Apple at position 2, then apple at position 5 → that’s 3 steps apart.

Between them: positions 3 and 4 are both trees → so two trees between apples?

Then after position 5 (apple), we might expect two trees again? But we only have two blanks.

Wait — let’s try grouping as:

Group 1: 🌳
Group 2: 🌳 🍎
Group 3: ???

That doesn’t match length.

Alternative idea: maybe it’s increasing number of trees before each apple?

First apple after 1 tree → 🌳 🍎
Second apple after 2 trees → 🌳 🌳 🍎
So third apple should come after 3 trees? But we don’t have space for that.

Wait — look at the sequence again:

Position: 1=🌳, 2=🍎, 3=🌳, 4=🌳, 5=🍎

So apples are at positions 2 and 5 → difference of 3.

Next apple might be at position 8? But we only need positions 6 and 7.

Perhaps the pattern is: tree, apple, then two trees, apple, then three trees, apple...

But we’re at position 5 (apple), so next should be three trees? But we only have two blanks.

Wait — maybe it’s not about counting trees, but looking at repetition.

Notice: 🌳 🌳 🍎

Compare to: A B A A B

This looks like a known pattern: A B A A B → next might be A A A B? Or continue the symmetry?

Actually, this resembles a Fibonacci-like pattern in counts.

Another approach: think of it as blocks.

Block 1: 🌳
Block 2: 🌳 🍎
So block n has n trees followed by an apple?

Then Block 1: 1 tree + apple → 🌳
Block 2: 2 trees + apple → 🌳 🌳
Block 3: 3 trees + apple → 🌳 🌳 🍎

But our sequence is: Block1 + Block2 = 🌳 🍎 🌳 🍎 → which matches positions 1-5.

So next should be Block3: three trees and an apple → but we only have two blanks.

We need positions 6 and 7.

Block3 starts at position 6: so position 6 = 🌳, position 7 = 🌳, position 8 = 🌳, position 9 = 🍎

But we only fill up to position 7.

So for blanks 6 and 7: both should be 🌳

✔ Next two: 🌳 🌳

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Now let’s compile all answers:

Pattern 1: ★ □
Pattern 2: ○ △
Pattern 3: △ □
Pattern 4: 🍎 🍎 🍎
Pattern 5: 🌳

Final Answer:
★ □
○ △
△ □
🍎 🍎 🍎
🌳