Primary · Multiplication
Build multiplication one equal row at a time
Create equal groups in a rectangular array and connect repeated addition with a product.
Predict what will happen, press Play, then pause and explain what changed. Every control also works without playback.
Watch the relationship
PausedHD animation studio
From experiment to screen.
Present a crisp Canvas scene, save a full-HD image, or capture your model as a silent video.
Understand what you are seeing
The idea behind the motion.
When every row has the same number of objects, the total can be counted by equal groups. The first factor counts rows and the second counts objects in each row. Multiplication records all of those equal additions in one expression.
A relationship to keep
Rows × objects per row = total objects
Read the symbols alongside the explanation. A diagram shows the relationship; the assumptions tell you when it applies.
- STEP 1
Choose two factors
Set the number of rows and the objects in every row. The pale circles show the full planned rectangular array.
- STEP 2
Count complete groups
Move the timeline to color one complete row at a time. Each new row adds exactly the same number of objects to the running total.
- STEP 3
Read the product
At the end, every row is included. Exchange the row and column controls to see a rotated arrangement with the same product.
Your turn to explain
Make a prediction. Test your reasoning.
An array has 5 rows with 7 objects in each. How many objects are in three completed rows, and how many are in the full array?
Use the values specified in the question. Reset restores the initial values for this investigation.
Compare your explanation
Three rows contain 3 × 7 = 21 objects. The whole array contains 5 × 7 = 35 objects.
Work through a full lesson
Connect the animation to a worked example and practice questions.