Choose an activity
Multiplication and Division
Pick one to start!
Build Equal Groups
See what multiplication means
Add one counter to every group, count the total, and connect equal groups to repeated addition and a multiplication equation.
Build Multiplication Arrays
Connect rows and columns to multiplication
Build an array one column at a time, write its repeated addition, name its rows and columns, and create the multiplication equation.
Turn the Array Picture
Discover the commutative property
Write a multiplication equation for an array, turn the picture, and compare the reversed fact with the same product.
Find the Pattern
Discover patterns in the ×10 and ×11 facts
Use hundred charts or stacked addition to discover why the products in the ×10 and ×11 facts follow patterns.
Doubling and Halving Multiples of Ten
Build doubles and share halves with tens
Use tens and ones to double multiples of ten or share them equally between two groups.
Double It, Halve It
See how doubling and halving are related
Use base-ten models to double a number up to 100, then split the total in half to return to the starting number.
Multiplication and Division Fluency
Follow a six-step fact-fluency path
Choose one fact family, follow the learning path from related multiplication through division fluency, then repeat with a new fact.
Related Multiplication Facts
Doubles, related, and mixed facts
Use friendlier multiplication facts to solve related facts with bar models.
Related Multiplication Facts Flashcards
Solve two connected facts on each card
Solve an easier multiplication fact first, then use it to solve a related fact on the same flashcard.
Arrays Connect Multiplication and Division
Join and separate the same array
Write a multiplication equation to join equal groups into one total, then use division to separate the same array again.
Relating Multiplication and Division
Division with related multiplication
Choose a divisor, build equal groups, and connect division to a related multiplication fact.
Related Multiplication and Division Flashcards
Connect multiplication and division facts
Solve a multiplication fact first, then use it to solve the matching division fact on the same flashcard.
Multiplication Quick Images
See groups quickly
Look quickly at numbered bar models, then tell how many there are altogether.
Split Multiplication Models
Choose and solve two easier facts
Choose stacked bar models or equal groups on one bar model, split the model, and use two smaller multiplication facts to solve the whole problem.
Multiplication and Division Flashcards
Choose a multiplication or division fact set
Practice multiplication, related multiplication, and division facts.
Multiplying by Multiples of Ten
Connect basic facts to tens
Choose models, multiples-of-ten flashcards, or paired basic-fact and tens-fact flashcards.
Partial Products Multiplication
Choose a multiplication model
Choose two-digit by one-digit or two-digit by two-digit multiplication, then cut an array into friendly parts.
Partial Quotient Division
Divide with array chunks
Outline friendly groups on a three-digit array mat, subtract each grouped part, and add the partial quotients to find the answer.
Understanding Long Division
Divide with place value
Use hundreds, tens, and ones to see how grouping, subtracting, and trading connect to each step of long division.