Entry Task

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

1.1 Patterns and Expressions

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

Vocabulary pg 4 Constant Variable Quantity Variable Numerical expression Algebraic expression

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

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

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

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

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

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

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

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

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

n? (___) 2 2n How does the input part relate to the output? Whats the same? Whats different? Problem 2d Number Patterns Figure Number (input) Number (output) Process Column (Expression)

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?

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