Students discover that multiplication is a fast way to count equal groups — building arrays, connecting them to repeated addition, and uncovering why 3 × 4 and 4 × 3 give the same answer.
Students will be able to…
Adding the same number over and over gets slow fast. What if there were a quicker way to count equal groups — every single time?
Project this and build arrays together. Change the rows and columns, watch the equation update, and use “Flip it” to discover why order doesn’t change the product.
Tap any phase to open the teacher moves and student actions.
Write 4 + 4 + 4 + 4 + 4 + 4 on the board. Isn’t there a faster way?
Teacher builds one array and names every part.
Class drives the Array Builder and finds a pattern.
Students build and solve independently.
Return to the slow way — now write it the fast way.
Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
Use multiplication within 100 to solve word problems involving equal groups and arrays.
Apply properties of operations as strategies to multiply (commutative and distributive properties).
Look for and make use of structure — students use the array’s rows and columns to see multiplication.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students design buildings on grid paper where every window array shows a multiplication fact, then label each with its equation — a math-and-art project. A printable grid-paper template is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.