Algebra II. To identify & describe patterns Constants – quantities whose values do not change ...

Lesson 1 – 1 Patterns & Expressions

Algebra II

To identify & describe patterns

Learning Objective

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

Ex: 3 + 5 (8 – 2) + 5

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/WorkInput Output

1.

Copy & Complete the TableInput Process Output

1 02 13 24 356∶ ∶ ∶n

1.


1 (1) – 1 02 (2) – 1 13 (3) – 1 24 (4) – 1 35 (5) – 1 46 (6) – 1 5∶ ∶ ∶n (n) – 1 n – 1

2.


1 32 43 54 656∶ ∶ ∶n

2.


1 (1) + 2 32 (2) + 2 43 (3) + 2 54 (4) + 2 65 (5) + 2 76 (6) + 2 8∶ ∶ ∶n (n) + 2 n + 2

3.


1 –3 2 –63 –94 –125∶ ∶ ∶n

3.


1 –3(1) –3 2 –3(2) –63 –3(3) –94 –3(4) –125 –3(5) –15∶ ∶ ∶n –3(n) –3n

4.


1 52 93 134 175∶ ∶ ∶n

4.


1 4(1) + 1 52 4(2) + 1 93 4(3) + 1 134 4(4) + 1 175 4(5) + 1 21∶ ∶ ∶n 4(n) + 1 4n + 1

5.


1 2 2 –33 –84 –135∶ ∶ ∶n

5.


1 –5(1) + 7 2 2 –5(2) + 7 –33 –5(3) + 7 –84 –5(4) + 7 –135 –5(5) + 7 –18∶ ∶ ∶n –5(n) + 7 –5n +

7

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 Platy

s

Process Total Cost

0 $0

1 $2

2 $4

3 $6

∶ ∶ ∶

10

n

# of Platy

s

Process Total Cost

0 2(0) $0

1 2(1) $2

2 2(2) $4

3 2(3) $6

∶ ∶ ∶

10 2(10) $20

n 2(n) $2n

0.7

Write each number as a percent

1/20

1.25

3.175

70%

5%

125%

317.5%

0.05

REVIEW!

Assignment:

Pg. 9 # 19 – 24, *41 CC, 46 – 57,

SHOW ALL WORK

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