Turn it. Same total.
Turn the same array to use a multiplication fact in the other order.
Explore this lesson →10 practice questions · Optional read aloud · Thinking pad
Let’s understand the idea.
- An array has equal rows and aligned columns. Its two factors count rows and columns.
- A quarter-turn changes each row into a column and each column into a row. Every object stays in the array.
- The factor order can change while the product stays the same. Use a fact you know to help with its reversed multiplication.
Something to notice
Ask the learner to predict the new dimensions before a turn, explain why the total is conserved, and use a known fact in the opposite order without counting every object. Nonsquare and one-row arrays distinguish the product from row/column roles. This lesson addresses commutativity of multiplication; associativity and property-based division strategies need further instruction. Completing these questions does not establish fluency or mastery.
Try it. Change it. Explain it.
Open the lesson to use its pictures and controls. In How it works, connect the picture to the idea. In Play & discover, change the quantities and notice what stays the same. In Your turn, answer questions and use the explanation to check your reasoning.
You can ask for help, draw on the thinking pad, or listen to the question and answer options. Progress distinguishes independent work from work completed with help.
Let’s try it →Curriculum connection
Grade 3 · 3.OA · US Common Core
This lesson is mapped to these standards. A completed activity is practice evidence, not a claim of mastery. Content is checked against the linked official standards and its mathematical models are tested.