An Algebra Worksheet - by HelpingWithMath.com

Generate & Analyze Patterns (With Function Tables) Worksheet

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Reteach: Generate & Analyze Patterns

You've been working with patterns since you were a very small child.

Patterns with shapes; pattern with shapes

Patterns with numbers; 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , ...

 

 

 

Now it is time to organize what you know about patterns onto a function table.

function table with annotations

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Guided Practice

Different function tables have different rules. Sometimes the rule is given, and you are asked to fill in the missing information on the function table using the rule.

example of function table with rule shown

 

 

 

Sometimes the rule is not given, and you are asked to use what you observe about the relationship between the numbers to determine the rule.

functiona table without rule

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Independent Practice: Function Tables

Apply the rule for each function table to fill in the missing numbers.
x + 4 = y
x
y
0 4
1 5
2 6
3 7
9x = y
x
y
3 27
6 54
9 81
12 108
x - 2 = y
x
y
10 8
20 18
30 28
40 38
x + 2 = y
x
y
11 13
12 14
13 15
14 16
x - 5 = y
x
y
15 10
17 12
19 14
21 16
3x = y
x
y
4 12
5 15
6 18
7 21
Analyze the relationship between the X and Y numbers to figure out the rule for each table.
  7x = y  
x y
0 0
1 7
2 14
3 21
  x - 1 = y  
x y
2 1
3 2
4 3
5 4
 x + 10 = y 
x y
3 13
6 16
9 19
12 22
Figure out the rule for each table, and use it to complete the missing facts.
  3x = y  
x y
4 12
6 18
8 24
10 30
  x + 5 = y  
x y
1 6
3 8
5 10
7 12
  8x = y  
x y
0 0
1 8
2 16
3 24

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Related Resources

The various resources listed below are aligned to the same standard, (4OA05) taken from the CCSM (Common Core Standards For Mathematics) as the AlgebraWorksheet shown above.

Generate a number or shape pattern that follows a given rule. Identify apparent features ...

Page

Number Patterns

Worksheets