Activity 1 (Investigating Patterns)

Activity 1 (Investigating Patterns)

Algebra 1 Review for Final

Learning Target 1

Identify patterns in data

Identify Patterns in Data

• Look for how much the numbers are going up or down each time

• Is it consistent?

Multiple Choice

Find the rule the pattern is using:

3,9,15,21,27

• Multiply 3

• Add 4

• Add 6

• Multiply 10

Multiple Choice

Which choice uses the same subtraction rule as the pattern shown?

42,32,22,12,2

• 29,22,15,8,1

• 11,9,7,5,3

• 39,30,21,12,3

• 47,37,27,17,7

Multiple Choice

Find the rule the pattern is using:

11,9,7,5,3

• Subtract 2

• Divide 3

• Add 3

• Subtract 3

Multiple Choice

Look at the following sequence of numbers: -6, -3, 0, ___ , 6, 9, ___ , 15, 18, …
What numbers would have to be in the red blanks?

• 3 and 12
• 8 and 2
• -1 and 200
• x and y

Learning Target 2

Use tables, graphs, and expressions to model situations.

Use tables, graphs, and expressions to model situations

• If you are looking at data from a real-world situation you can represent that data in the following ways:

• Create a table

• Create a graph

• Create an expression

Multiple Choice

Write the numbers in the right column as a sequence.

• 82, 70, 58, 46, ...
• 1, 2, 3, 4, ...
• 46, 58, 70, 82, ...
• 4, 3, 2, 1, ...

Multiple Choice

Does the graph show the relationship between the table on the right?

• Yes
• No

Multiple Choice

Write an expression using the letter "n" for the following sequence of numbers: 2, 4, 6, 8. 10. ...

• 4n
• 2n +1
• 2n -1
• 2n

Learning Target 3

Use expressions to make

predictions

Use expressions to make

predictions

• You can use an expression that you are given to make predictions by substituting that value in for your variable.

• Example: given the expression 3t + 5 represents the cost you will spend at the pet store if you buy t: number of toys how much would you spend if you bought 4 toys?

• 3(4) + 5 => 12 + 5 => 17

• you would spend 17 dollars

Multiple Choice

Evaluate when a = 10:

2(a - 5) + 2

• 12

• 24

• 17

• 7

Multiple Choice

3x + 8   if x = 2

• 13
• 14
• 15
• 16

Multiple Choice

Evaluate 4y  if       y = 3

• 7
• 12

Learning Target 4

Use Patterns to Write Expressions

Use Patterns to Write Expressions

• To write an expression from a pattern you must follow the steps below:

• Step 1: Find the common difference

• Step 2: find the first term

• Step 3: substitute those values in for a₁+ d(n-1) where a₁ is the first term and d is the common difference.

Example

write an expression for the given sequence so that you can figure out what the 10th term is.

3, 5, 7, 9, ...

Step 1: The common difference is 2

Step 2: The first term is 3

Step 3: a₁ + d(n-1) => 3 + 2(n-1)

to find the 10th term I just have to substitute 10 in for n!

3 + 2(n-1) => 3 + 2 (10-1) => 3 + 2(9) => 3 + 18 => 21

the 10th term would be 21!

Multiple Choice

Given the sequence:
 -25, -20, -15, -10,...
What is the common difference?

• not arithmetic
• -5
• 5
• -25

Multiple Choice

What is the common difference?
15, 9, 3, ...

• 6
• not arithmetic
• (-6)
• 15

Multiple Choice

What is the common difference?
5, 9, 13, ...

• 9
• 5
• 4
• not arithmetic

Multiple Choice

What expression would model this pattern?

• 1+4x

• 5+4x

• 9x

• 1+8x

Multiple Choice

What expression would represent this pattern?

• 2n- 1

• 1n + 2

• 3n - 3

• 3n + 1

Multiple Choice

What is the 150^th term of the pattern  with general rule 2n-20?

• 300
• 290
• 280
• 270

Multiple Choice

How many counters would come next?

• 5
• 7
• 9
• 11