Grade 3 Pattern Worksheets | Free Printables | Math Worksheets - Free Printable
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Show Answer Key & Explanations
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
Let me work through each pattern carefully to determine what comes next.
Pattern 1: Blue rectangles forming a staircase
- Step 1: One blue rectangle
- Step 2: Two blue rectangles (one on top, one to the right)
- Step 3: Three blue rectangles (forming a diagonal staircase)
- Pattern: Each step adds one more rectangle in a diagonal pattern
- Next: Four blue rectangles continuing the diagonal staircase upward and to the right
Pattern 2: Green dots with yellow center
- Step 1: One yellow dot
- Step 2: Yellow dot with 4 green dots around it (up, down, left, right)
- Step 3: Yellow dot with 8 green dots (the original 4 plus 4 more at diagonals)
- Pattern: Adding dots around the center - first the cardinal directions, then the diagonals
- Next: Yellow dot with 12 green dots (adding another layer - could be extending outward or adding intermediate positions)
Actually, let me reconsider pattern 2:
- Step 1: Just yellow center
- Step 2: Yellow + 4 green (cross shape)
- Step 3: Yellow + 8 green (larger cross with arms extended)
- Next: Yellow + 12 green (even larger cross)
Pattern 3: Overlapping circles
- Step 1: One red circle
- Step 2: Red circle overlapping with blue circle
- Step 3: Red-blue-red (three circles overlapping)
- Pattern: Alternating colors, adding one circle each time
- Next: Red-blue-red-blue (four circles overlapping)
Pattern 4: Triangles
- Step 1: One red triangle pointing up
- Step 2: Blue triangle on top of red triangle (pointing down)
- Step 3: Blue-yellow-red triangles (blue pointing down, yellow pointing right, red pointing up)
- Pattern: Adding triangles in different orientations/colors
- Next: Could be four triangles forming a pinwheel or diamond shape with blue, yellow, red, and possibly green
Let me reconsider: Looking at the progression more carefully:
- Step 1: Single red triangle
- Step 2: Two triangles (red up, blue down) - like an hourglass
- Step 3: Three triangles arranged differently
- Next: Four triangles
Pattern 5: X-shape with squares
- Step 1: Blue X made of 4 squares with yellow center square
- Step 2: Red and blue X (alternating colors) with yellow center
- Step 3: Red, blue, and yellow X with yellow center
- Pattern: The arms of the X get longer or more colorful
- Actually looking more carefully: Step 1 has short arms, Step 2 has medium arms, Step 3 has long arms
- Next: Even longer arms or additional colors
Let me look again at pattern 5:
- Step 1: Small X with blue ends
- Step 2: Medium X with alternating red/blue
- Step 3: Large X with red/blue/yellow
- Next: Extra large X continuing the color pattern
Pattern 6: Smiley faces
- Step 1: 3 smiley faces in a small triangle
- Step 2: 6 smiley faces in a larger triangle (2 rows: 3 + 3)
- Wait, let me count again...
- Step 1: 3 faces
- Step 2: 6 faces
- Step 3: 9 faces
- Pattern: Adding 3 faces each time (or growing the triangle)
- Next: 12 smiley faces
Final Answer:
For each row, draw the following in the blank box:
1. Blue staircase: Draw 4 blue rectangles forming a diagonal staircase going up and to the right
2. Green cross: Draw a yellow center dot with 12 green dots around it (extending the cross pattern further)
3. Overlapping circles: Draw 4 overlapping circles in the pattern: red-blue-red-blue
4. Triangles: Draw 4 triangles arranged in a pinwheel/diamond pattern with different colors (red, blue, yellow, and add green)
5. X-shape: Draw a larger X-shape with extended arms using the color pattern (red, blue, yellow, and continue with another color or repeat)
6. Smiley faces: Draw 12 smiley faces arranged in a triangle (4 on bottom row, 3 above, 2 above that, 1 on top = 4+3+2+1=10... let me recount the pattern)
Actually for pattern 6, let me verify:
- Row 1: 3 faces (triangle base)
- Row 2: appears to be 6 faces
- Row 3: appears to be 9 faces
- So next would be 12 faces arranged in a larger triangular pattern
Pattern 1: Blue rectangles forming a staircase
- Step 1: One blue rectangle
- Step 2: Two blue rectangles (one on top, one to the right)
- Step 3: Three blue rectangles (forming a diagonal staircase)
- Pattern: Each step adds one more rectangle in a diagonal pattern
- Next: Four blue rectangles continuing the diagonal staircase upward and to the right
Pattern 2: Green dots with yellow center
- Step 1: One yellow dot
- Step 2: Yellow dot with 4 green dots around it (up, down, left, right)
- Step 3: Yellow dot with 8 green dots (the original 4 plus 4 more at diagonals)
- Pattern: Adding dots around the center - first the cardinal directions, then the diagonals
- Next: Yellow dot with 12 green dots (adding another layer - could be extending outward or adding intermediate positions)
Actually, let me reconsider pattern 2:
- Step 1: Just yellow center
- Step 2: Yellow + 4 green (cross shape)
- Step 3: Yellow + 8 green (larger cross with arms extended)
- Next: Yellow + 12 green (even larger cross)
Pattern 3: Overlapping circles
- Step 1: One red circle
- Step 2: Red circle overlapping with blue circle
- Step 3: Red-blue-red (three circles overlapping)
- Pattern: Alternating colors, adding one circle each time
- Next: Red-blue-red-blue (four circles overlapping)
Pattern 4: Triangles
- Step 1: One red triangle pointing up
- Step 2: Blue triangle on top of red triangle (pointing down)
- Step 3: Blue-yellow-red triangles (blue pointing down, yellow pointing right, red pointing up)
- Pattern: Adding triangles in different orientations/colors
- Next: Could be four triangles forming a pinwheel or diamond shape with blue, yellow, red, and possibly green
Let me reconsider: Looking at the progression more carefully:
- Step 1: Single red triangle
- Step 2: Two triangles (red up, blue down) - like an hourglass
- Step 3: Three triangles arranged differently
- Next: Four triangles
Pattern 5: X-shape with squares
- Step 1: Blue X made of 4 squares with yellow center square
- Step 2: Red and blue X (alternating colors) with yellow center
- Step 3: Red, blue, and yellow X with yellow center
- Pattern: The arms of the X get longer or more colorful
- Actually looking more carefully: Step 1 has short arms, Step 2 has medium arms, Step 3 has long arms
- Next: Even longer arms or additional colors
Let me look again at pattern 5:
- Step 1: Small X with blue ends
- Step 2: Medium X with alternating red/blue
- Step 3: Large X with red/blue/yellow
- Next: Extra large X continuing the color pattern
Pattern 6: Smiley faces
- Step 1: 3 smiley faces in a small triangle
- Step 2: 6 smiley faces in a larger triangle (2 rows: 3 + 3)
- Wait, let me count again...
- Step 1: 3 faces
- Step 2: 6 faces
- Step 3: 9 faces
- Pattern: Adding 3 faces each time (or growing the triangle)
- Next: 12 smiley faces
Final Answer:
For each row, draw the following in the blank box:
1. Blue staircase: Draw 4 blue rectangles forming a diagonal staircase going up and to the right
2. Green cross: Draw a yellow center dot with 12 green dots around it (extending the cross pattern further)
3. Overlapping circles: Draw 4 overlapping circles in the pattern: red-blue-red-blue
4. Triangles: Draw 4 triangles arranged in a pinwheel/diamond pattern with different colors (red, blue, yellow, and add green)
5. X-shape: Draw a larger X-shape with extended arms using the color pattern (red, blue, yellow, and continue with another color or repeat)
6. Smiley faces: Draw 12 smiley faces arranged in a triangle (4 on bottom row, 3 above, 2 above that, 1 on top = 4+3+2+1=10... let me recount the pattern)
Actually for pattern 6, let me verify:
- Row 1: 3 faces (triangle base)
- Row 2: appears to be 6 faces
- Row 3: appears to be 9 faces
- So next would be 12 faces arranged in a larger triangular pattern
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet with.