Math activity
Array Art Gallery
Arrange objects into rows and columns to make pretty patterns. Count how many are in each row and how many rows there are. This is the very beginning of multiplication!
Materials and setup
- small objects (buttons, coins, stickers)
- graph paper
- crayons
- pencil
How this changes by age
Pre-K (ages 3–4)
Arrange objects into rows and columns to make pretty patterns. Count how many are in each row and how many rows there are. This is the very beginning of multiplication!
Steps
- Get 12 small objects (buttons, coins, or stickers).
- Arrange them in 3 rows of 4. Count each row: 4, 4, 4.
- Now rearrange into 2 rows of 6. Count each row: 6, 6.
- Try 4 rows of 3. Point out: 'Look, we still have 12 objects!'
- Let your child create their own row-and-column arrangement and count the total.
- Tell a grown-up one thing that surprised you.
Learning objectives
- Arrange objects into equal rows and columns
- Count objects organized in arrays
- Discover that the same number of objects can be arranged in different arrays
Kindergarten (ages 5–6)
Build arrays with objects and connect them to repeated addition. Draw arrays and write addition sentences for each one.
Steps
- Build an array of 3 rows with 5 objects in each row. Count the total.
- Write it as repeated addition: 5 + 5 + 5 = 15. That is '3 groups of 5.'
- Build 4 more arrays with different dimensions. Write the repeated addition for each.
- Draw your arrays on paper as dots. Label the rows and columns.
- Create 'Array Art': use stickers or stamps to make arrays that form a picture (e.g., a window is a 2x3 array).
- Tell a grown-up one thing that surprised you.
Learning objectives
- Build and draw arrays with correct row and column structure
- Write repeated addition sentences to describe arrays
- Connect arrays to the concept of equal groups
Early elementary (ages 6–8)
Use arrays to understand multiplication. Build arrays, write multiplication equations, and discover the commutative property (3x4 = 4x3).
Steps
- Build an array of 4 rows of 6 objects. Write the multiplication: 4 x 6 = 24.
- Now rearrange into 6 rows of 4. Write: 6 x 4 = 24. Same answer! This is the commutative property.
- Create arrays for all multiplication facts from 2x2 to 5x5. Record each as a multiplication equation.
- Draw the arrays on graph paper by coloring in rectangles. A 3x7 array is a rectangle 3 squares tall and 7 squares wide.
- Find arrays in real life: egg cartons (2x6), muffin tins (3x4), window panes. Write the equation for each.
- Challenge: can you make a 24-object array in more than 2 ways? (1x24, 2x12, 3x8, 4x6)
- In one sentence, tell a parent or sibling what surprised you today.
Learning objectives
- Write multiplication equations from array models
- Demonstrate the commutative property of multiplication with arrays
- Find all factor pairs for a given number using arrays
Upper elementary (ages 8–10)
Use area models for multi-digit multiplication. Break large multiplication into parts using arrays, connect to the distributive property, and explore square numbers.
Steps
- Draw an area model for 23 x 15: split into (20+3) x (10+5) = four rectangles. Calculate each section and add.
- Solve 5 multi-digit multiplication problems using area models. Verify with the standard algorithm.
- Investigate square numbers: draw arrays for 1x1, 2x2, 3x3, up to 10x10. Why are they called 'square' numbers?
- Apply the distributive property: 7 x 13 = 7 x 10 + 7 x 3 = 70 + 21 = 91. Solve 6 problems this way.
- Create an 'Array Art Gallery': design 5 colorful array artworks on graph paper, each labeled with its multiplication equation.
- Challenge: what is the largest array you can make with exactly 100 objects? List all possible arrays (factor pairs of 100).
- In one sentence, tell a parent or sibling what surprised you today.
Learning objectives
- Use area models to multiply multi-digit numbers
- Apply the distributive property to break apart multiplication problems
- Identify and explore square numbers and factor pairs
Safety and evidence note
Read the full activity before beginning. An adult should supervise tools, heat, food, outdoor work, movement, and experiments as appropriate. Completion records that the activity was done; the child’s explanation, work sample, photo, or demonstration is stronger evidence of learning than a completion check alone.
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