Practice and check
Worked example
Keep black cells from the first model only if the second model does not shade them. Shade the result.
1, 2 ∖ 2, 4 → 1 → 1
- Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it.
- Start with the first pattern. Erase positions also black in the second; reversing the order changes the task.
- A − B ≠ B − A · Step 1: 2×2 · Step 2: 3×3 · Step 3: 4×4
Check answers after trying
1: 1 2: 4 3: 4, 9 4: 2, 7 5: 3, 8, 13 6: 4, 10, 15
Keep black cells from the first model only if the second model does not shade them. Shade the result.
Why this answer
- 1. 1, 2 ∖ 2, 4 → 1 → 1
- 2. 1, 4 ∖ 1, 3 → 4 → 4
- 3. 4, 5, 9 ∖ 5, 7 → 4, 9 → 4, 9
- 4. 2, 3, 7 ∖ 3, 5 → 2, 7 → 2, 7
- 5. 3, 8, 13, 14 ∖ 14, 16 → 3, 8, 13 → 3, 8, 13
- 6. 4, 5, 10, 15 ∖ 5, 7 → 4, 10, 15 → 4, 10, 15
- 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 Keep black cells from the first model only if the second model does not shade them. Shade the result. A − B ≠ B − A · Step 1: 2×2 · Step 2: 3×3 · Step 3: 4×4 Original practice activities, not a standardized test or IQ score. Steps describe the task, not an age or ability grade. Try one example Keep black cells from the first model only if the second model does not shade them. Shade the result. 1, 2 ∖ 2, 4 → 1 → 1. 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 Start with the first pattern. Erase positions also black in the second; reversing the order changes the task. 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 A − B ≠ B − A · Step 1: 2×2 · Step 2: 3×3 · Step 3: 4×4 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
Keep black cells from the first model only if the second model does not shade them. Shade the result. Start with the first pattern. Erase positions also black in the second; reversing the order changes the task.
Next Step
A − B ≠ B − A · Step 1: 2×2 · Step 2: 3×3 · Step 3: 4×4 Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.