Number sequence.

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Presentation transcript:

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.

I can find the rule of a number sequence, and prove that it works. 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 2 3 1 2 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

Is the pattern sequence increasing or decreasing. FINDING RULES… Is the pattern sequence increasing or decreasing. 1, 3, 5, 7 , 9, __, __ Pattern is increasing; adding.

Figure out what the pattern is… adding, subtracting, or multiplying? Finding rules 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 rule 1, 3, 5, 7, 9, __ Adding 2 to each number 1+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 sequence Rules Increasing and/or decreasing Add, subtract, or multiply Figure out the rule 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, 84 Each number is 4 more than previous number Each number is 18 less than previous number Each number is 16 more than previous number Each number is 12 less than previous number

What is the rule for this sequence? 50, 44, 38, 32, 26 Each number is 8 more than previous number Each number is 8 less than previous number Each number is 6 more than previous number 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.