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number theory
 divisibility rules
 factors
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Pre-Algebra
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Sequences and Series
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At the elementary level students observe patterns and as they get more sophisticated in their mathematical thinking, some patterns can be written in the form of a sequence or series.
- Related Resources
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Interactive resources from our Math Tools project:

Math 7: Number Theory
The closest match in our Ask Dr. Math archives:

Middle School Archive
NCTM Standards:

Number and Operations Standard for Grades 6-8
Access to these problems requires a Membership.
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A Cranberry Craving
- Claire Mead, Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Use the pattern to find out how many cranberries Carissa ate on
Thanksgiving Thursday.
... more>>
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Fall Festival Frolic
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. How many different types of candy are needed to make at least 50 different treat bags?
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Falling into Sequences
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula.
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Falling Leaves
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Find the number of leaves that were falling.
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Lucky Lollipops
- Suzanne Alejandre & Maria Fung and her students
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Pre-Algebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method.
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Making Money
- Alice Miller
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Pre-Algebra, difficulty level 3. How much money would you have by December 31, 1999, if you put 10 cents in the special "math" bank on January 1, 1999?
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The Name Game
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. The first student says his/her own name; the second student repeats the first student's name and adds his/her own name... How many names are said if the numbers of students in my math classes on the first day are 27, 28, 32, 31, and 30?
... more>>
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Runsums, Part 1
- Ron Knott
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Pre-Algebra, difficulty level 3. By spotting the pattern, tell me the smallest number that is a sum of a run of one hundred consecutive numbers.
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Runsums, Part 2
- Ron Knott
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Pre-Algebra, difficulty level 3. Explore number patterns and report on what you have learned.
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Seating Dilemma
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Count the number of ways to seat people, if some are math teachers who cannot be next to each other.
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Snow Day Phone Chain
- Judy Ann Brown
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Pre-Algebra, difficulty level 4. Use the given information to find out how many phone calls were made.
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