Lesson #1 - Number Patterns

Learning Objective: Students will identify number patterns and use conjectures

 to predict the next terms in the pattern

Part 1

Describe (in words) the pattern in each sequence of numbers and use that pattern to fill in the next two numbers in the sequence.

a. 1, 3, 5, 7, 9, __, __

Pattern ______________________

Next two numbers ____, _____

b. 2, 5, 8, 11, 14, __, __

Pattern ______________________

Next two numbers ____, _____

c. 4, 9, 14, 19, 24, 29, __, __

Pattern ______________________

Next two numbers ____, _____

d. 10, 20, 30, 40, 50, __, __

Pattern ______________________

Next two numbers ____, ____

Bonus: 3, 5.5, 8, 10.5, 13, __, __

Pattern ______________________

Next two numbers ____, _____

Wrap up: What do all of these number sequences have in common?

________________________________________________________

Enrichment: Make up your own number sequence that follows the same kind of rule you identified in this section.

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Part II

Describe (in words) the pattern in each sequence of numbers and use that pattern to fill in the next two numbers in the sequence.

a.  25, 20, 15, 10, ___, ____

Pattern ______________________

Next two numbers ____, _____

b.  25, 21, 17, 13, 9, __, __

Pattern ______________________

Next two numbers ____, _____

c.   14, 8, 2, -4, __, __

Pattern ______________________

Next two numbers ____, _____

d.  1, -1, -3, -5, __, __

Pattern ______________________

Next two numbers ____, _____

Bonus:   9, 7.5, 6, 4.5, 3, __, ___

Pattern ______________________

Next two numbers ____, _____

Wrap up: What do all of these number sequences have in common?

________________________________________________________

Enrichment: Make up your own number sequence that follows the same kind of rule you identified in this section.

________________________________________________________

Part III

Describe (in words) the pattern in each sequence of numbers and use that pattern to fill in the next two numbers in the sequence.

a.   2, 4, 8, 16, 32, __, __

Pattern ______________________

Next two numbers ____, _____

b. 4, 12, 36, 108, __, __

Pattern ______________________

Next two numbers ____, _____

c. 40, 20, 10, 5, __, __

Pattern ______________________

Next two numbers ____, _____

d.  1, 5, 25, 125, __, __

Pattern ______________________

Next two numbers ____, _____

Bonus: 10, 15, 22.5, 33.75, __, __

Pattern ______________________

Next two numbers ____, _____

Wrap up: What do all of these number sequences have in common?

_______________________________________________________

Enrichment: Make up your own number sequence that follows the same kind of rule you identified in this section.

________________________________________________________

Part IV

Describe (in words) the pattern in each sequence of numbers and use that pattern to fill in the next two numbers in the sequence.

a.  1, 4, 5, 9, 14, __, __

b.  5, 6, 11, 17, 28, __, __

c. 14, 20, 34, 54, 88, __, __

d. 0, 2, 2, 4, 6, 10, __, __

Bonus:  1, 2, 3, 6, 11, 20, 37, __, __

Wrap up: What do all of these number sequences have in common?

_______________________________________________________

Enrichment: Make up your own number sequence that follows the same kind of rule you identified in this section.

________________________________________________________