NUMBER SEQUENCE

STANDARDS

G4.3M.C1.PO.2. Explain the rule for a given number sequence, verify that the rule works, and use the rule to make predictions.

OBJECTIVES

I can find the rule of a number sequence, and prove that it works.

PATTERNS

AABB, AACC, AADD, AAEE…

FIND THE RULE TO THE PATTERNS

1, 2, 3/ 1, 2, 3/ 1, 2, 3/ 1, 2, 3/ …

AABB, AACC, AADD, AAEE…, __BB, __CC, __DD, __EE, __FF, __GG

1 12 23 3

HOW TO FIND RULES OF A PATTERN

Rule 1: Is the pattern sequence increasing or decreasing.

Rule 2: Figure out what the pattern is? adding, subtracting, or multiply?

Rule 3: Identify the rule

FINDING RULES…

1. Is the pattern sequence increasing or decreasing.

1, 3, 5, 7 , 9, __, __Pattern is increasing; adding.

FINDING RULES

2. Figure out what the pattern is… adding, subtracting, or multiplying?

1, 3, 5, 7, 9, __Adding. 1 + __=3, 3 + __=5, 5 + __=7, 7 + __=9

FINDING RULES…

3. Identify the rule1, 3, 5, 7, 9, __

Adding 2 to each number1+2=3, 3+2=5, 5+2=7, 7+2=9, 9+2= __

FIND THE RULE

2,5, 11, 23, __

Rule 1: increasing or decreasing

Rule 2: adding, subtracting, or multiplying?

2x2=4+1=5

5x2=10+1=11

11x2=22+1=23,

What is the rule? Multiply by 2 then add 1

FIGURE OUT THE RULE

2, 5, 8, 11, 14, 17, __

USE THE RULES TO HELP YOU

Rule 1: Is the pattern sequence increasing or decreasing.

Rule 2: Figure out what the pattern is… adding, subtracting, or multiply?

Rule 3: Identify the rule

FIGURE OUT THE RULE

2, 5, 8, 11, 14, 17, __2+3= 5, 5+3= 8, 8+3= 11, 11+3= 14,

14+3= 17, 17+3=

TRY IT ON YOUR OWN

2, 4, 8, 16, 32, __

What is the rule?

TRY IT OUT

2, 5, 14, 41, __

What is the rule?

REVIEW NUMBER SEQUENCERules1. Increasing and/or decreasing2. Add, subtract, or multiply3. Figure out the rule4. Write the rule, find next

number

FIGURE OUT THE MISSING NUMBER

78, 70, 62, __, 46…

FIGURE OUT THE MISSING NUMBER

2, 4, 8, 16, 32, __

WHAT IS THE RULE FOR THIS SEQUENCE?

5, 17, 29, 41, 53

WHAT IS THE NEXT NUMBER IN THIS SEQUENCE?

2, 6, 18, 54, __What is the rule?

WHAT IS THE NEXT NUMBER IN THIS SEQUENCE?

20, 120, 100, 200, 180, 280, __

What is the rule?

WHAT IS THE NEXT NUMBER IN THIS SEQUENCE?

10, 110, 100, 200, 190, 290, __

What is the rule?

WHAT IS THE RULE FOR SEQUENCE?

20, 36, 52, 68, 84A. Each number is 4 more than previous number

B. Each number is 18 less than previous number

C. Each number is 16 more than previous number

D. Each number is 12 less than previous number

WHAT IS THE RULE FOR THIS SEQUENCE?

50, 44, 38, 32, 26A. Each number is 8 more than previous

number

B. Each number is 8 less than previous number

C. Each number is 6 more than previous number

D. Each number is 6 less than previous number

WRITE YOUR OWN NUMBER PATTERN

Write your own number pattern and have your shoulder partner find the missing number and figure out the rule.