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algebraic thinking
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Algebraic Thinking

Young students should experience problems which help them develop the reasoning and representational skills that form the foundation of the symbolic algebra they will encounter in the middle grades. These include classifying, patterns and relationships, and functions. Children begin to learn to use charts and tables to organize and record information.
Some of these problems address these specific subtopics:
 Related Resources

Interactive resources from our Math Tools project:
Math 1: Algebra
NCTM Standards:
Algebra Standard for Grades PreK3
Access to these problems requires a Membership.

Ants on a Bun


Grade K. Find out how many ants were at a picnic.
... more>>

Apple Celebration


Grade 1. Figure out the growth pattern of a tree to predict its future height.
... more>>

Building a Tower

Grade K. How many blocks has Ming put on Ali's tower?
... more>>

Catching Minnows


Grade 2. Figure out how many minnows Anna will catch if she continues a
pattern.
... more>>

Clowning Around


Grade 1. Use repeated addition to find out how many balls the clowns are
juggling.
... more>>

Count Them Up


Grade 1. Write a number sentence to explain how many pennies Darryl has.
... more>>

Cupcake Combinations


Grade K. Extend a pattern of cupcakes.
... more>>

Decorating Cookies


Grade 1. Find out what type of sprinkles Roger will put on the cookies he is
baking.
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Donut Sale


Grade 1. Figure out how much Geneva has to spend for 8 donuts.
... more>>

Goody Bags


Grade 2. How many red and green gumdrops will Antonia put in each goody bag
if she wants each goody bag to be different?
... more>>

Gym Line

Grade K. Identify a pattern and use it to figure out who's next in line.
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How Far Will Taylor Run?


Grade 2. Follow a pattern to figure out how far Taylor can run without
stopping.
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How Many Berries Did I Eat?


Grade 1. Reason about whether I ate more blueberries or raspberries.
... more>>

How Tall Is Your Tower?


Grade 1. Identify the pattern and use it to answer some questions about a row
of block towers.
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I Can Skip Count


Grade 1. Find the next numbers in the pattern.
... more>>

Ice Cream Sandwiches


Grade K. Find out how many cookies Ariana needs to make enough treats for
her friends.
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I See a Pattern


Grade K. What is the next number in the sequence?
... more>>

Lunch Line


Grade K. Follow a basic alternating pattern to find a given student in line.
... more>>

Magic More Machine


Grade K. Figure out what the Magic More Machine does when you put fruits and
veggies into it.
... more>>

Number Fun


Grade 1. Use clues to help Dominic solve a number riddle.
... more>>

Picture This


Grade 2. Find out how many pictures Isabel will finish if she keeps drawing
more each day.
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Playing with Patterns


Grade 1. Find the next numbers in the pattern.
... more>>

Puppies for Sale


Grade 1. Determine how many puppies are in the crates.
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Rock Patterns


Grade 2. Arrange 4 different kinds of rocks to make a pattern.
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Saul's Cupcakes


Grade K. Figure out how many cupcakes Saul will put on the fifth plate.
... more>>

Snow Globes


Grade 2. Follow a pattern to figure out how many snow globes Angie will place
on her shelves.
... more>>

Superhero

Grade 1. Help the superhero figure out how many laps he's done.
... more>>

The ArmWrestling Match


Grade 2. How many armwrestling matches will take place in a contest between
six friends?
... more>>

Time for Ice Cream!


Grade K. Figure out which of three ice cream treats Chen prefers.
... more>>
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