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Elementary: Mathematical Patterns
Elementary students in grades 3-5 explore patterns as a way of
developing algebraic thinking. They identify or build
numerical and geometric patterns and represent them using tables
and symbols, or use graphs to describe patterns and make
predictions. They may use invented notation, standard symbols, or
variables to express a pattern. Students learn to analyze the structure
of a pattern and how it grows or changes, organize the information
systematically, and use the analysis to develop generalizations about
the mathematical relations they find.
The problems listed below require students to investigate patterns in order
to find an answer or reach a solution. They may address the NCTM Grades 3-5
Algebra
Standard,
Problem
Solving Standard, or
Connections
Standard.
To find relevant sites on the Web, browse and search
Patterns/Relationships
in our Internet Mathematics Library; to find elementary sites, go
to the bottom of the page, set the searcher for late elementary level
(3-5), and press the Search button.
Access to these problems requires a Membership.
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Calculator Double Vision
- Lisa Lavelle
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Elementary, difficulty level 2. Enter a 3-digit number twice on a calculator and use division to get the original number.
... more>>
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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.
... more>>
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Farmer Fever's Hay
- Ed Levinson
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Elementary, difficulty level 4. Determine the weights of the four pieces of Farmer Fever's broken 40-pound rock.
... more>>
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How Does Your Garden Grow?
- Team 7 Red Math Students -- Highland Middle School
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Elementary, difficulty level 4. Help the HMS students find out how many ways they can arrange their schoolyard garden.
... more>>
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It's an open and shut case! Or is it?
- Lisa Lavelle
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Elementary, difficulty level 3. A Razzle Dazzle Elementary School locker problem.
... more>>
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Magic Square Jumble
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Help straighten out this magic square.
... more>>
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Mini-Movie Theater Seating
- Chrissy Stewart (adapted)
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Elementary, difficulty level 3. How many rowdy kids can sit in the Mini-Movie Theater?
... more>>
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More Mowing Madness
- George Miller and Lisa Lavelle
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Math Fundamentals, difficulty level 4. Where should Matt and Georgette change places to evenly split their "Matt-mowing" work?
... more>>
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Mystery Numbers
- CanSchoolNet - revised
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Math Fundamentals, difficulty level 2. Fill in the missing numbers on an ancient scroll.
... more>>
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Pondering Palindromes
- Mary DeYoung & class
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Math Fundamentals, difficulty level 1. Explore 4-digit palindromes and find something else they have in common.
... more>>
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Set a Date
- Lisa Lavelle (with help from Judy Ann Brown)
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Math Fundamentals, difficulty level 3. Explore an interesting detail about a given date, and find six more dates with the same quality.
... more>>
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Video Trading
- Joyce Hoellein & Class
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Math Fundamentals, difficulty level 2. Determine the number of trades necessary for each of the 4-H members to see each of the video tapes.
... more>>
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