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Let’s Review Commutative Property Classify Numbers Multi-Step Equations Absolute Value Proportions/Percent of increase/decrease Inequalities : When to switch sign? Graphing Points Functions B.A.G. Unit 4 Lesson 5. “I can…”.
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Let’s Review Commutative Property Classify Numbers Multi-Step Equations Absolute Value Proportions/Percent of increase/decrease Inequalities : When to switch sign? Graphing Points Functions B.A.G.
“I can…” • …determine if a sequence or pattern could be modeled by a linear equation and can model that pattern • M(F&A)-10-1
RECALL: Function • A relation for which each input has exactly one output • Vertical Line Test
SEQUENCE • A sequence is an ordered list of numbers that forms a pattern • Each number in the list is called a term of the sequence • Ex. • 5, 8, 11, 14,… • 2.5, 5, 10, 20, 40,…
Determine if it is an Arithmetic sequence • Arithmetic-the difference between consecutive terms is constant, and is known as a common difference • Ex. Yes or No • 3, 8, 13, 18… • 10,4,-2,-8,… • 5,7,10,14,19,25,… • 2, -2, 2, -2, 2, -2,… • FORMULA
Explicit Formula for an Arithmetic Sequence • Example • 10,4,-2,-8,…
More Examples • 99,88,77,66,… • 23,38,53,68,… • Take the above two formulas and find the 12th term • Graph the Results
Look for the patterns… • Term 1 • Term 2 • Term 3 • Term 4 • Term 5
Shoes! I want some shoes too! • You are designing shoes for giraffes, with 72 pairs of eyelets, how many cm’s long will the shoelaces be?