Download 5.17 Notes

5.17 Notes
Patterns
SOL 5.17 The student will describe the relationship found in a number pattern and express the relationship.
Vocabulary
numerical – expressed as numbers
pattern – a sequence that follows a rule or rules
Examples and Explanations
To determine the rule of numerical patterns, use a caret (V) between numbers.
Increasing number patterns use addition or multiplication in the rule.
Decreasing number patterns use subtraction or division in the rule.
2, 6, 10, 14
v v v
+4 +4 +4
x3
 In this pattern, the numbers are increasing, or getting larger.
 We know the operation will be either addition or multiplication.
2x3=6
2 +4 = 6
 Each possible rule must be tested to see if all of the numbers follow the
pattern. 6x3 does not equal 10. The rule for this pattern is Add 4.
Patterns can also be in the form of a table
IN
2
3
?
5
OUT
8
12
16
?
 Compare the IN column to the OUT column.
 In this pattern, the numbers are increasing, or getting larger.
 We know the operation will be either addition or multiplication.
2 x4 = 8
2 +6= 8
 Each possible rule must be tested to see if all of the numbers follow the pattern. 3+6
does not equal 12. The rule for this pattern is x4.
 Use the rule to complete the missing boxes.
Rules for patterns can also be expressed with variables.
Pizzas
2
4
5
n
Number
of Slices
16
32
40
 Determine the pattern between the IN (Pizza) and OUT (Number of Slices) column.
 The pattern is x8.
 The rule can be expressed as n x 8.