1. Ch 1.1 Patterns and Expressions I can identify and describe patterns Success Criteria: Identify and use geometric patterns Identify patterns in pictures, tables, graphs Describe the patterns using numbers and variables Today’s Agenda Do now Tech Check Complete Book Scavenger Hunt Vocabulary HW #1 Do Now:

2. Ch 1.1 Patterns and Expressions I can identify and describe patterns Success Criteria: Identify and use geometric patterns Identify patterns in pictures, tables, graphs Describe the patterns using numbers and variables Today’s Agenda Do now Tech Check Complete Book Scavenger Hunt Vocabulary HW #1 Do Now: Look at the figures from left to right. What is the pattern? Draw the next figure in the pattern. Write the expression.

3. Vocabulary pg 4 Constant Variable Quantity Variable Numerical expression Algebraic expression

4. With you’re elbow partner, identify where you see patterns in the real world. Be ready to discuss with class. music investments sleep habits nature

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

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

7. 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

8. 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

9. 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

10. 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? What’s the same? What’s different? 19 24 29 34 Figure Number (input) Number (output) Process Column (Expression)

11. 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? What’s the same? What’s different? 3 1 -3 Figure Number (input) Number (output) Problem 2c Number Patterns Process Column (Expression)

12. 8282 6262 4242 2 1 2 3 4 n? (___) 2 2n How does the input part relate to the output? What’s the same? What’s different? 4 16 36 64 Problem 2d Number Patterns Figure Number (input) Number (output) Process Column (Expression)

13. 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?

14. Assignment #1 #1 pg 8-9 #18,22-24, 33,36,40 pg 8-9 #18,22-24, 33,36,40