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T-Table Number Patterns

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T-Table Number Patterns

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📚 Part 1: Choose the Rule (Multiple Choice)

1. Find the rule for this T-table:

Input: 1, 2, 3, 4

Output: 5, 7, 9, 11

output = input + 4

output = 2 × input + 3

output = 3 × input - 1

2. Find the rule for this T-table:

Input: 0, 1, 2, 3

Output: 2, 0, −2, −4

output = 2 - 2 × input

output = input - 2

output = −input

3. Which rule matches this table?

Input: 1, 2, 3, 4

Output: 3, 6, 9, 12

output = input + 2

output = 3 × input

output = input ÷ 3

4. Which rule matches this table?

Input: 2, 4, 6

Output: 1, 2, 3

output = input ÷ 2

output = input - 1

output = input × 2

✏️ Part 2: Short Answers — Build T-Tables & Ordered Pairs

5. Complete the T-table for the rule: output = input − 4

Input: −1, 0, 3, 7

Output: ________, ________, ________, ________

6. Create ordered pairs and name the rule:

Input: 2, 4, 6

Output: 7, 11, 15

Ordered pairs: (____, ____), (____, ____), (____, ____)

Rule: _________________________________________

7. Real-world: A runner adds 3.0 kilometres each day. Make a T-table for Days 0–3, list ordered pairs and the rule.

Days (input): 0, 1, 2, 3

Distance (km) (output): ________, ________, ________, ________

Ordered pairs: (____, ____), (____, ____), (____, ____), (____, ____)

Rule: _________________________________________

8. Money: One toy costs $8. Make a T-table for 1–4 toys, give ordered pairs and rule.

Toys (input): 1, 2, 3, 4

Cost ($) (output): ________, ________, ________, ________

Ordered pairs: (____, ____), (____, ____), (____, ____), (____, ____)

Rule: _________________________________________

🗺️ Part 3: Graphing (Plot the Ordered Pairs)

9. Graph the three ordered pairs from Question 6 on the grid below. Label the axes and plot each point clearly.
10. Graph the T-table from Question 5 (inputs: −1, 0, 3, 7). Label points and write the rule beside your graph.

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