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Overlay the Patterns · 1
Practice and check
Worked example
Stack the model grids without moving them. Shade a cell if any model shades that cell.
3, 4 ∪ 1, 4 → 1, 3, 4 → 1, 3, 4
- Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it.
- Align the grids. A cell is black if any given layer is black there; shared cells are kept once.
- ■+□→■; ■+■→■ · Step 1: 2×2 · 2 layers · Step 2: 3×3 · 2 layers · Step 3: 4×4 · 3 layers
Check answers after trying
1: 1, 3, 4 2: 2, 3, 4 3: 1, 4, 5, 8, 9 4: 2, 3, 4, 7, 8 5: 2, 3, 7, 8, 9, 12, 13, 14 6: 1, 5, 6, 10, 11, 12, 15, 16
Stack the model grids without moving them. Shade a cell if any model shades that cell.
Why this answer
- 1. 3, 4 ∪ 1, 4 → 1, 3, 4 → 1, 3, 4
- 2. 2, 3 ∪ 3, 4 → 2, 3, 4 → 2, 3, 4
- 3. 4, 8, 9 ∪ 1, 5, 9 → 1, 4, 5, 8, 9 → 1, 4, 5, 8, 9
- 4. 2, 3, 7 ∪ 3, 4, 8 → 2, 3, 4, 7, 8 → 2, 3, 4, 7, 8
- 5. 2, 7, 8, 13 ∪ 3, 8, 9, 14 ∪ 2, 7, 12, 13 → 2, 3, 7, 8, 9, 12, 13, 14 → 2, 3, 7, 8, 9, 12, 13, 14
- 6. 5, 10, 11, 16 ∪ 1, 6, 11, 12 ∪ 5, 10, 15, 16 → 1, 5, 6, 10, 11, 12, 15, 16 → 1, 5, 6, 10, 11, 12, 15, 16
- If an answer differs, return to the first step that differs and explain the choice. Change the answer after checking rather than guessing a new rule.
- Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.
- Original practice activities, not a standardized test or IQ score. Steps describe the task, not an age or ability grade.
Tips for Parents
What is on the sheet Stack the model grids without moving them. Shade a cell if any model shades that cell. ■+□→■; ■+■→■ · Step 1: 2×2 · 2 layers · Step 2: 3×3 · 2 layers · Step 3: 4×4 · 3 layers Original practice activities, not a standardized test or IQ score. Steps describe the task, not an age or ability grade. Try one example Stack the model grids without moving them. Shade a cell if any model shades that cell. 3, 4 ∪ 1, 4 → 1, 3, 4 → 1, 3, 4. Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it. Check a difficulty Align the grids. A cell is black if any given layer is black there; shared cells are kept once. If an answer differs, return to the first step that differs and explain the choice. Change the answer after checking rather than guessing a new rule. Choose the next step ■+□→■; ■+■→■ · Step 1: 2×2 · 2 layers · Step 2: 3×3 · 2 layers · Step 3: 4×4 · 3 layers Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.
What This Worksheet Builds
Stack the model grids without moving them. Shade a cell if any model shades that cell. Align the grids. A cell is black if any given layer is black there; shared cells are kept once.
Next Step
■+□→■; ■+■→■ · Step 1: 2×2 · 2 layers · Step 2: 3×3 · 2 layers · Step 3: 4×4 · 3 layers Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.