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algebraic reasoning

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Math Fundamentals
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Algebraic Reasoning
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Long before students begin learning formal algebra, they are encouraged to start using variables, expressions and equations to represent the thinking they do when solving problems. The problems in this subcategory can be solved in a variety of ways, including through the use of variables, expressions and equations.
- Related Resources
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Interactive resources from our Math Tools project:

Math 4: Algebra
The closest match in our Ask Dr. Math archives:

Elementary Word Problems
NCTM Standards:

Algebra Standard for Grades 3-5
Access to these problems requires a Membership.
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Birthday Trip
- Kristina Lasher
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Math Fundamentals, difficulty level 3. Just how far is the trip to Aunt Mazie's house?
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Bouncing Babies
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Make predictions based on conversation at a recent baby shower.
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Building Bouquets
- Amanda Knott and the Western Oregon University Mentors
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Math Fundamentals, difficulty level 2. Help Jana determine how to divide her extra flowers for the flower shop special.
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Common Cents
- Claire Mead
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Math Fundamentals, difficulty level 2. How much money do Monique and Misty each contribute toward Mom's Valentine's candy?
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Eating Grapes
- Claire Mead
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Math Fundamentals, difficulty level 3. How many grapes did Angela eat on Monday?
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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.
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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.
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Greta's Garden
- Claire Mead
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Math Fundamentals, difficulty level 2. Find out how much money Greta made from each of her vegetables at the
Farmers's Market.
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Growing Worms
- Claire Mead
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Math Fundamentals, difficulty level 3. Find a pattern to predict the growth of worms made of triangles.
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Lawn-Mowing Chore
- Judy Ann Brown
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Math Fundamentals, difficulty level 4. Find the area of the yard that Josh, Sam, and Mark must mow.
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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.
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Pirate Treasure *
- Claire Mead
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Math Fundamentals, difficulty level 3. How many trips will it take to get the pirates and their treasure back
to the ship?
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Pocket Change
- Claire Mead
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Math Fundamentals, difficulty level 1. How many dimes do I have in my pocket?
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Price Tag Repair
- Teaching the Young Learner Group
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Math Fundamentals, difficulty level 2. Can you use the clues to help Cathy repair the price tags for the family yard sale?
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Sharing Birthdays
- Claire Mead
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Math Fundamentals, difficulty level 2. How old will Alana be when her mother is three times Alana's age?
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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.
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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.
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Wooden Legs
- Claire Mead
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Math Fundamentals, difficulty level 2. How many different ways can Wendy use 31 legs to build wooden
dollhouse furniture?
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Zoo Train
- Claire Mead
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Math Fundamentals, difficulty level 3. How many passengers boarded the zoo train?
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