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Elementary: Algebraic Reasoning
In grades 3-5, elementary students lay the groundwork for the more
formal study of algebra in middle and high school mathematics classes.
They first study patterns, relations, and functions, making generalizations
and analyzing patterns using graphs, words, and tables. They use
algebraic symbols to represent variables as unknown quantities, and
express mathematical relations using equations. Students use models
and objects to represent quantitative relations and draw conclusions,
and they study change and how a change in one variable can relate to
a change in a second variable.
The problems listed below offer opportunities to practice algebraic
reasoning skills at the elementary level, and address the NCTM
Algebra
Standard for Grades 3-5.
To find relevant sites on the Web, browse and search
Basic Algebra
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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A Barrel of Fun
- Lisa Lavelle
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Elementary, difficulty level 3. How much apple juice did the man keep?
... more>>
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Borrowed Books
- Teaching the Young Learner Group
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Elementary, difficulty level 2. Determine the number of books in the borrowing library created by three friends.
... more>>
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Feathers and Fur
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine the number of pigeons and puppies Xiao has.
... more>>
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Georg Tricks the Troll
- Terry Trotter
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Elementary, difficulty level 3. Georg decides to tangle with the troll and see if he can make some money.
... more>>
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Growing Pains
- Lisa Lavelle
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Elementary, difficulty level 4. Predict the height and weight of a child after ten years.
... more>>
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Idle Ivan and the Troll
- Lisa Lavelle
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Elementary, difficulty level 2. Idle Ivan makes a deal with a troll... to his disappointment he discovers he knows less math than he thought.
... more>>
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Jumping Rope
- Leon Roland & class
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Math Fundamentals, difficulty level 2. Just how long was the rope with which we started?
... more>>
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Lunch Bunch Budgets
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Determine the number of children needed for the lunch bunch budget to balance.
... more>>
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March Madness!
- Teaching the Young Learner Class
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Math Fundamentals, difficulty level 3. Given four clues, figure out which pair of friends won a basketball game.
... more>>
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Multiplication Mystery
- Ya. I. Perelman (translated from Russian by Valentina Sokolskaya)
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Math Fundamentals, difficulty level 3. Decipher this cryptic multiplication problem to uncover the final product.
... more>>
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Payment in Kind
- Lisa Lavelle (adapted)
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Elementary, difficulty level 3. Determine the spouses of three kind women based on the details of their inheritance.
... more>>
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Penguin Fun
- Bob Coulter
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Elementary, difficulty level 2. Three penguins go to an amusement park. Can they all take the same ride?
... more>>
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Tatianna and the Troll
- Terry Trotter, revised
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Elementary, difficulty level 3. Tatianna tests the troll... and neither loses nor gains.
... more>>
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Timber!!!
- Lisa and Judy Gardner
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Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree.
... more>>
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