*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.*
________________________________________________________

__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.*

________________________________________________________

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