Practice and check
Worked example
Align the models. Shade a result cell only when every model shades it.
2, 3, 4 ∩ 2, 4 → 2, 4 → 2, 4
- Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it.
- Keep a cell only when it is black in every layer, including all three when present.
- ■+■→■; ■+□→□ · Step 1: 2×2 · 2 layers · Step 2: 3×3 · 2 layers · Step 3: 4×4 · 3 layers
Check answers after trying
1: 2, 4 2: 1, 3 3: 1, 6 4: 2, 6 5: 2 6: 7
Align the models. Shade a result cell only when every model shades it.
Why this answer
- 1. 2, 3, 4 ∩ 2, 4 → 2, 4 → 2, 4
- 2. 1, 3, 4 ∩ 1, 3 → 1, 3 → 1, 3
- 3. 1, 6, 7, 9 ∩ 1, 6, 8 → 1, 6 → 1, 6
- 4. 2, 3, 5, 6 ∩ 2, 4, 6 → 2, 6 → 2, 6
- 5. 2, 3, 6, 7 ∩ 2, 4, 7 ∩ 2, 5, 8 → 2 → 2
- 6. 7, 8, 11, 12 ∩ 7, 9, 12 ∩ 7, 10, 13 → 7 → 7
- 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 Align the models. Shade a result cell only when every model shades it. ■+■→■; ■+□→□ · 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 Align the models. Shade a result cell only when every model shades it. 2, 3, 4 ∩ 2, 4 → 2, 4 → 2, 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 Keep a cell only when it is black in every layer, including all three when present. 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
Align the models. Shade a result cell only when every model shades it. Keep a cell only when it is black in every layer, including all three when present.
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.