Practice and check
Worked example
Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row.
9 ≤ 9 ⇒ 9 − 2 = 7 → 7
- Read one problem and its conditions before starting. Work without a timer, and keep the key visible where the task requires it.
- After each operation, replace x with its new value before testing the next condition. Equality uses the ≤ branch.
- x₁ → condition → x₂ → condition · Step 1: 1 conditions (> / ≤) · Step 2: 2 conditions (> / ≤) · Step 3: 3 conditions (> / ≤)
Check answers after trying
1: 7 2: 15 3: 8 4: 20 5: 6 6: 44
Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row.
Why this answer
- 1. 9 ≤ 9 ⇒ 9 − 2 = 7 → 7
- 2. 12 > 9 ⇒ 12 + 3 = 15 → 15
- 3. 9 ≤ 9 ⇒ 9 − 2 = 7; 7 ≤ 13 ⇒ 7 + 1 = 8 → 8
- 4. 14 > 9 ⇒ 14 + 3 = 17; 17 > 13 ⇒ 17 + 3 = 20 → 20
- 5. 9 ≤ 9 ⇒ 9 − 2 = 7; 7 ≤ 13 ⇒ 7 + 1 = 8; 8 ≤ 17 ⇒ 8 − 2 = 6 → 6
- 6. 16 > 9 ⇒ 16 + 3 = 19; 19 > 13 ⇒ 19 + 3 = 22; 22 > 17 ⇒ 22 × 2 = 44 → 44
- 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 Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row. x₁ → condition → x₂ → condition · Step 1: 1 conditions (> / ≤) · Step 2: 2 conditions (> / ≤) · Step 3: 3 conditions (> / ≤) Original practice activities, not a standardized test or IQ score. Steps describe the task, not an age or ability grade. Try one example Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row. 9 ≤ 9 ⇒ 9 − 2 = 7 → 7. 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 After each operation, replace x with its new value before testing the next condition. Equality uses the ≤ branch. 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 x₁ → condition → x₂ → condition · Step 1: 1 conditions (> / ≤) · Step 2: 2 conditions (> / ≤) · Step 3: 3 conditions (> / ≤) 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
Start at x and use rows from top to bottom. Select > or ≤, perform its operation, and use the new x in the next row. After each operation, replace x with its new value before testing the next condition. Equality uses the ≤ branch.
Next Step
x₁ → condition → x₂ → condition · Step 1: 1 conditions (> / ≤) · Step 2: 2 conditions (> / ≤) · Step 3: 3 conditions (> / ≤) Try the next step when the current method feels manageable. You may repeat a problem, use a paper marker, or stop and return later.