Grade 3 Pattern Worksheets | Free Printables | Math Worksheets - Free Printable
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Step-by-step solution for: Grade 3 Pattern Worksheets | Free Printables | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 3 Pattern Worksheets | Free Printables | Math Worksheets
Of course! Let's solve this "Picture Patterns" worksheet step by step. The goal is to draw the next picture in each growing pattern.
We’ll go row by row and figure out the rule for each pattern.
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- Pattern: A blue rectangle → a 2-step shape → a 3-step shape.
- Rule: Each step adds one more square to the staircase, going up and right.
- Next Step: Add one more square to make a 4-step staircase.
✔ Draw a 4-step blue staircase.
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- Pattern: 1 yellow dot → 4 green dots around 1 yellow → 8 green dots around 1 yellow.
- Rule: The center is always 1 yellow dot. The number of green dots increases: 0 → 4 → 8. That’s adding 4 each time.
- Next Step: Add 4 more green dots → 12 green dots surrounding the yellow center (like a flower with 12 petals).
✔ Draw 1 yellow dot in the center, surrounded by 12 green dots in a circle.
*(Note: In early grades, they often draw them in a cross or star pattern — so 3 on each side of the center dot, making 12 total.)*
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- Pattern: 1 red → 1 red + 1 blue → 2 red + 1 blue.
- Rule: It looks like we’re adding one red circle each time, while the blue stays at 1.
- Next Step: 3 red circles + 1 blue circle.
✔ Draw 3 red circles and 1 blue circle overlapping or arranged together.
*(The blue circle is usually placed in the middle or slightly overlapping the reds, as in the pattern.)*
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- Pattern: 1 red triangle → 1 red + 1 blue → 1 red + 1 blue + 1 yellow.
- Rule: Adding one new colored triangle each time, rotating the position (maybe clockwise).
- Next Step: Add one more color — probably green — to make a 4-triangle pinwheel.
✔ Draw a pinwheel with 4 triangles: red, blue, yellow, and green, arranged around a center point.
*(If only primary colors are expected, you could repeat red or add another yellow — but logically, it’s introducing new colors. Green is a safe bet.)*
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- Pattern: Small blue X → larger X with red arms → even larger X with yellow arms.
- Rule: The shape grows bigger each time, and the outer arms change color: blue → red → yellow.
- Next Step: The arms should be green (next color), and the shape should be even larger.
✔ Draw a large X with green arms and a blue center square.
*(Keep the same structure: small center square with long arms.)*
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- Pattern: 3 smiley faces in a triangle → 5 smileys in a wider triangle → 7 smileys in an even wider triangle.
- Rule: Each time, add 2 more smiley faces to the base, keeping the triangular shape.
- Next Step: 9 smiley faces — 5 on the bottom row, then 3, then 1 on top.
✔ Draw a triangle made of 9 smiley faces: bottom row = 5, middle = 3, top = 1.
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## ✔ Final Answers (What to Draw in Each Box):
1. Blue 4-step staircase
2. Yellow center with 12 green dots around it (or 3 per side)
3. Three red circles and one blue circle
4. Four-colored pinwheel: red, blue, yellow, green triangles
5. Large X with green arms and blue center
6. Triangle of 9 smiley faces (5-3-1)
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Let me know if you’d like me to describe how to draw any of these in more detail or sketch them for you! 😊
We’ll go row by row and figure out the rule for each pattern.
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🔹 Row 1: Blue Steps
- Pattern: A blue rectangle → a 2-step shape → a 3-step shape.
- Rule: Each step adds one more square to the staircase, going up and right.
- Next Step: Add one more square to make a 4-step staircase.
✔ Draw a 4-step blue staircase.
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🔹 Row 2: Green + Yellow Dots
- Pattern: 1 yellow dot → 4 green dots around 1 yellow → 8 green dots around 1 yellow.
- Rule: The center is always 1 yellow dot. The number of green dots increases: 0 → 4 → 8. That’s adding 4 each time.
- Next Step: Add 4 more green dots → 12 green dots surrounding the yellow center (like a flower with 12 petals).
✔ Draw 1 yellow dot in the center, surrounded by 12 green dots in a circle.
*(Note: In early grades, they often draw them in a cross or star pattern — so 3 on each side of the center dot, making 12 total.)*
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🔹 Row 3: Red & Blue Circles
- Pattern: 1 red → 1 red + 1 blue → 2 red + 1 blue.
- Rule: It looks like we’re adding one red circle each time, while the blue stays at 1.
- Next Step: 3 red circles + 1 blue circle.
✔ Draw 3 red circles and 1 blue circle overlapping or arranged together.
*(The blue circle is usually placed in the middle or slightly overlapping the reds, as in the pattern.)*
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🔹 Row 4: Colored Triangles
- Pattern: 1 red triangle → 1 red + 1 blue → 1 red + 1 blue + 1 yellow.
- Rule: Adding one new colored triangle each time, rotating the position (maybe clockwise).
- Next Step: Add one more color — probably green — to make a 4-triangle pinwheel.
✔ Draw a pinwheel with 4 triangles: red, blue, yellow, and green, arranged around a center point.
*(If only primary colors are expected, you could repeat red or add another yellow — but logically, it’s introducing new colors. Green is a safe bet.)*
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🔹 Row 5: Colorful X Shapes
- Pattern: Small blue X → larger X with red arms → even larger X with yellow arms.
- Rule: The shape grows bigger each time, and the outer arms change color: blue → red → yellow.
- Next Step: The arms should be green (next color), and the shape should be even larger.
✔ Draw a large X with green arms and a blue center square.
*(Keep the same structure: small center square with long arms.)*
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🔹 Row 6: Smiley Faces
- Pattern: 3 smiley faces in a triangle → 5 smileys in a wider triangle → 7 smileys in an even wider triangle.
- Rule: Each time, add 2 more smiley faces to the base, keeping the triangular shape.
- Next Step: 9 smiley faces — 5 on the bottom row, then 3, then 1 on top.
✔ Draw a triangle made of 9 smiley faces: bottom row = 5, middle = 3, top = 1.
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## ✔ Final Answers (What to Draw in Each Box):
1. Blue 4-step staircase
2. Yellow center with 12 green dots around it (or 3 per side)
3. Three red circles and one blue circle
4. Four-colored pinwheel: red, blue, yellow, green triangles
5. Large X with green arms and blue center
6. Triangle of 9 smiley faces (5-3-1)
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Let me know if you’d like me to describe how to draw any of these in more detail or sketch them for you! 😊
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet grade 3.