Linear Patterns and Graphs
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Linear Patterns and Graphs
📊 Part 1: Pattern Tables and Rules
| Position | 1 | 2 | 3 | 4 | 5 | 6 |
| Term | 3 | 6 | 9 | ____ | ____ | ____ |
| Position | 1 | 2 | 3 | 4 | 5 |
| Term | 5 | 10 | 15 | 20 | 25 |
The 8th term would be: ________
| Week | 1 | 2 | 3 | 4 | 5 |
| Total Savings | $4 | $8 | ____ | ____ | ____ |
📈 Part 2: Graphs and Conjectures
Graph paper space - plot Position (x-axis) vs Term (y-axis)
Statement: In the pattern 3, 6, 9, 12, ..., the number 21 is a term in this pattern.
Explain your reasoning:
a) The constant change is: ________
b) The 10th term would be: ________
c) What position would the term 23 be in? ________
✏️ Part 3: Create Your Own Pattern
Starting number: ________
Your pattern: _____, _____, _____, _____, _____
4 × n = 16
n = ________
What does this tell us about the pattern? ________________________________
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