Two-Variable Pattern Rules
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Two-Variable Pattern Rules
📚 WALT: Create, continue and describe two-variable patterns
We Are Learning To: link the step number to the number of objects and explain the rule.
Success criteria: I can continue a pattern, complete a table, describe the increase or decrease, and use my rule to find a later term.
Use cubes or tiles if you need them. Look for what happens next.
Step 1: ■ Step 2: ■ ■ ■ Step 3: ■ ■ ■ ■ ■
Step 4:
Number of squares: ______ The pattern increases by ______ each step.
■ ■ → ■ ■ ■ ■ → ■ ■ ■ ■ ■ ■ → ______ → ______
The rule is: start at ______ and __________________________ each step.
18 → 15 → 12 → ______ → ______
The rule is to __________________ each time.
✏️ Part 2: Link the two variables
Complete each two-variable record. The headings are colour-coded: 🔵 step number and 🟢 number of objects.
🔵 Step: 1 2 3 4 5
🟢 Objects: 1 3 5 ______ ______
Arrows: 1 → 3 → 5 → ______ → ______
🔵 Step: 1 2 3 4
🟢 Objects: 16 ______ ______ ______
Rule: The number of objects __________________________________________.
Step 1 has 2 objects, step 2 has 5 objects, and step 3 has 8 objects.
My rule is: __________________________________________________________
Step 10 has ______ objects.
🎨 Part 3: Design a pattern for a classmate
Support: You may use cubes, tiles, numbers or drawings. Keep your values mainly within 20.
Extension: Make the increase change each time, such as adding 1, then 2, then 3. Ask your classmate to find a later term.
🔵 Step: 1 2 3 4 Later step: ______
🟢 Objects: ______ ______ ______ ______ ______
My rule: _____________________________________________________________
──────────── fold line ────────────
The later term is ______ because _____________________________________
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