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Entry Task

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Chapter Homework Log sheet Remember start on Tuesday Mark Monday as labor day or no school Each box must have something in it Fill in learning target Fill in homework

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1.1 Patterns and Expressions

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Identify and use geometric patterns Identify patterns in pictures, tables,graphs Describe the patterns using numbersand variables Learning Target: I can identify and describe patterns

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Vocabulary pg 4 Constant Variable Quantity Variable Numerical expression Algebraic expression

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Variable Side 1 Side 2 A symbol, usually a letter that represents on or more numbers n x

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With youre a/b partner, identify where you see patterns in the real world. Be ready to discuss with class. music investments sleep habits nature

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From pictures or physical models we can sometimes find both numerical and geometrical patterns.

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Understanding a pattern can help us: extend the pattern create new patterns

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MODELS Mathematicians … look for patterns find patterns in physical or pictorial models look for ways to create different models for patterns use mathematical models to solve problems

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Problem 1 Identifying a pattern Look at the figures from left to right. What is the pattern? Draw the next figure in the pattern. a. b. Answer: The next figure would have 7 sides Answer: Length of arm increases by one block the center remains the same

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2 2 + 2 2 + 2 + 2 2 + 2 + 2 + 2 4(2) 3(2) 2(2) 1(2) 1 2 3 4 n? __(2) Figure Number (input) n 2 4 6 8 Process Column (Expression) Number (output) Problem 2a Number Patterns

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Problem 2b Number Patterns 6(5) + 4 5(5) + 4 4(5) + 4 3(5) + 4 1 2 3 4 n? _____(5) + 4 (n + 2) How does the Input part relate to the output? Whats the same? Whats different? 19 24 29 34 Figure Number (input) Number (output) Process Column (Expression)

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3 - 2(3) 3 - 2(2) 3 - 2(1) 3 - 2(0) 1 2 3 4 n? 3 - 2(____)n - 1 How does the input part relate to the output? Whats the same? Whats different? 3 1 -3 Figure Number (input) Number (output) Problem 2c Number Patterns Process Column (Expression)

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8282 6262 4242 2 1 2 3 4 n? (___) 2 2n How does the input part relate to the output? Whats the same? Whats different? 4 16 36 64 Problem 2d Number Patterns Figure Number (input) Number (output) Process Column (Expression)

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Problem 3 Using a graph The graph shows the cost of platys at the aquarium shop. Use the table to find the cost of 6 platys. Discuss 1.What is the input value? What is the output value? 2.How many can you get for $20?

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Assignment #1 P. 7 #10 – 38 evens Challenge - #40

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Algebra II. To identify & describe patterns Constants – quantities whose values do not change Variable Quantities – quantities whose values change.

Algebra II. To identify & describe patterns Constants – quantities whose values do not change Variable Quantities – quantities whose values change.

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