Algebra 2 Welcome to Mrs. Tiratira
Lesson 1 – 1 Patterns & Expressions Algebra II
Learning Objective To identify & describe patterns Be extraordinary!
Constants – quantities whose values do not change Variable Quantities – quantities whose values change or vary
Variable – a symbol, usually a letter, that represents one or more numbers. Ex: n x
Numerical expression – mathematical phrase that contains numbers & operation symbols
Algebraic expression – mathematical phrase that contains one or more variables. Ex: 3n + 5 (8x – 2) + 5n
Tables are a convenient way to organize data & discover patterns Process/Work Output Input
Copy & Complete the Table Input Process Output 1 2 3 4 5 6 ∶ n 1.
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.
You are up! You can do it! Input Process Output 1 3 2 4 5 6 ∶ n 2.
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.
More practice Input Process Output 1 –3 2 –6 3 –9 4 –12 5 ∶ n 3.
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.
Two more Input Process Output 1 5 2 9 3 13 4 17 ∶ n 4.
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.
Last one Input Process Output 1 2 –3 3 –8 4 –13 5 ∶ n 5.
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.
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?
# of Platys Process Total Cost $0 1 $2 2 $4 3 $6 ∶ 10 n
# 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
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%
Assignment: Pg. 8 # 19 – 24, *41 CC, 46 – 57. SHOW ALL WORK