1. Algebra 2
Welcome to
Mrs. Tiratira

2. Lesson 1 – 1 Patterns & Expressions
Algebra II

3. Learning Objective
To identify & describe patterns
Be extraordinary!

4. Constants – quantities whose values do not change
Variable Quantities – quantities whose values change or vary

5. Variable – a symbol, usually a letter, that represents one or more numbers.
Ex: n x

6. Numerical expression – mathematical phrase that contains numbers & operation symbols

7. Algebraic expression – mathematical phrase that contains one or more variables.
Ex: 3n + 5 (8x – 2) + 5n

8. Tables are a convenient way to organize data & discover patterns
Process/Work
Output
Input

9. Copy & Complete the Table
Input
Process
Output 1 2 3 4 5 6 ∶ n 1.

10. Copy & Complete the Table
Input
Process
Output 1
(1) – 1 2
(2) – 1 3
(3) – 1 4
(4) – 1 5
(5) – 1 6
(6) – 1 ∶ n
(n) – 1
n – 1 1.

11. You are up! You can do it!
Input
Process
Output 1 3 2 4 5 6 ∶ n 2.

12. You did it Input Process Output 1 (1) + 2 3 2 (2) + 2 4 (3) + 2 5
(4) + 2 6
(5) + 2 7
(6) + 2 8 ∶ n
(n) + 2
n + 2 2.

13. More practice
Input
Process
Output 1 –3 2 –6 3 –9 4
–12 5 ∶ n 3.

14. Copy & Complete the Table
Input
Process
Output 1
–3(1) –3 2
–3(2) –6 3
–3(3) –9 4
–3(4)
–12 5
–3(5)
–15 ∶ n
–3(n)
–3n 3.

15. Two more
Input
Process
Output 1 5 2 9 3 13 4 17 ∶ n 4.

16. Copy & Complete the Table
Input
Process
Output 1
4(1) + 1 5 2
4(2) + 1 9 3
4(3) + 1 13 4
4(4) + 1 17
4(5) + 1 21 ∶ n
4(n) + 1
4n + 1 4.

17. Last one
Input
Process
Output 1 2 –3 3 –8 4
–13 5 ∶ n 5.

18. Copy & Complete the Table
Input
Process
Output 1
–5(1) + 7 2
–5(2) + 7 –3 3
–5(3) + 7 –8 4
–5(4) + 7
–13 5
–5(5) + 7
–18 ∶ n
–5(n) + 7
–5n + 7 5.

19. 6. The graph shows the total cost of platys at the aquarium shop. a
6. The graph shows the total cost of platys at the aquarium shop. a. Make a table. b. How much do ten platys cost? c. How much do n platys cost?

20. # of Platys
Process
Total Cost $0 1 $2 2 $4 3 $6 ∶ 10 n

21. # of Platys
Process
Total Cost
2(0) $0 1
2(1) $2 2
2(2) $4 3
2(3) $6 ∶ 10
2(10)
$20 n
2(n)
$2n

22. Write each number as a percent
REVIEW!
Write each number as a percent
0.7
70%
1/20
0.05 5%
1.25
125%
3.175
317.5%

23. Assignment: Pg. 8 # 19 – 24, *41 CC, 46 – 57. SHOW ALL WORK