1. Entry Task LT: I can identify and describe patterns

2. 1.1 Patterns and Expressions LT: I can identify and describe patterns

3. 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 LT: I can identify and describe patterns

4. Vocabulary pg 4 Constant Variable Quantity Variable Numerical expression Algebraic expression LT: I can identify and describe patterns

5. Variable Side 1 Side 2 A symbol, usually a letter that represents on or more numbers n x LT: I can identify and describe patterns

6. Input Side 1 Side 2 the input is the number you put in to get the output Example LT: I can identify and describe patterns If the output is 4 and to get the output you multiply by 2, then the input is 2.

7. Output Side 1 Side 2 The output is the result of the input when entered into an equation Example If the input is 4 and to get the output you multiply by 2, then the output is 8. LT: I can identify and describe patterns

8. With you’re a/b partner, identify where you see patterns in the real world. Be ready to discuss with class. music investments sleep habits nature LT: I can identify and describe patterns

9. From pictures or physical models we can sometimes find both numerical and geometrical patterns. LT: I can identify and describe patterns

10. Understanding a pattern can help us: extend the pattern create new patterns LT: I can identify and describe patterns

11. 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 LT: I can identify and describe patterns

12. 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 LT: I can identify and describe patterns

13. 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 LT: I can identify and describe patterns

14. 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) LT: I can identify and describe patterns

15. 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) LT: I can identify and describe patterns

16. 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) LT: I can identify and describe patterns

17. 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? LT: I can identify and describe patterns

18. Assignment #1 P. 7 #1 – 39 odds Challenge - #41 LT: I can identify and describe patterns