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# Unit7 patterns

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### Unit7 patterns

1. 1. Patterns
2. 2. 1, 3, 5, 7, 9, … 2, 4, 6, 8, … • Geometrical • Numerical
3. 3. Where can you find patterns? <ul><li>music </li></ul><ul><li>investments </li></ul><ul><li>sleep habits </li></ul><ul><li>nature </li></ul>
4. 4. From pictures or physical models we can sometimes find both numerical and geometrical patterns.
5. 5. Understanding a pattern can help us: • extend the pattern • create new patterns
6. 6. MODELS <ul><li>Mathematicians … </li></ul><ul><li>look for patterns </li></ul><ul><li>find patterns in physical or pictorial models </li></ul><ul><li>look for ways to create different models for patterns </li></ul><ul><li>use mathematical models to solve problems </li></ul>Numerical Algebraic Graphical
7. 7. Number Patterns <ul><li>2 </li></ul><ul><li>2 + 2 </li></ul><ul><li>2 + 2 + 2 </li></ul><ul><li>2 + 2 + 2 + 2 </li></ul>4(2) 3(2) 2(2) 1(2) 1 2 3 4 n? __(2) Term Number n 2 4 6 8 Term Expression
8. 8. Number Patterns 4(5) + 14 3(5) + 14 2(5) + 14 1(5) + 14 1 2 3 4 n? ____X_(5) + 14 (n) How does the different part relate to the term number? What’s the same? What’s different? 19 24 29 34 Term Number Term Expression
9. 9. Number Patterns -2(4)+5 -2(3)+5 -2(2)+5 -2(1)+5 1 2 3 4 n? (____)+5 How does the different part relate to the term number? What’s the same? What’s different? 3 1 -1 -3 Term Number Term Expression
10. 10. Number Patterns 8 2 6 2 4 2 2 2 1 2 3 4 n? (___) 2 2n How does the different part relate to the term number? What’s the same? What’s different? 4 16 36 64 Term Number Term Expression
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