1. Model with Arrays MAFS.3.OA.1.1, MAFS.3.OA.1.3

2. Model with Arrays How could you model 3 x 4?

3. Model with Arrays How could you model 3 x 4?

4. Model with Arrays You can also model 3 x 4 in an array. An array is an arrangement of objects into equal ROWS.

5. Model with Arrays An array is an arrangement of objects into equal ROWS. Examples of arrays:

6. Model with Arrays An array is an arrangement of objects into equal ROWS. Examples of arrays:

7. Model with Arrays An array is an arrangement of objects into equal ROWS. Examples of arrays:

8. Model with Arrays 3 rows of donuts An array is an arrangement of objects into equal ROWS. 4 donuts in each row

9. Model with Arrays 3 rows of donuts This is an array with 3 rows (or equal groups) of 4 donuts each. 4 donuts in each row

10. Model with Arrays 3 rows of donuts We can write this… 3 x 4 = 12 3 rows of 4 is 12 3 fours is 12 4 donuts in each row

11. Model with Arrays With square tiles, make 3 groups of 2.

12. Model with Arrays With square tiles, make 3 groups of 2. How would you write this as a multiplication sentence?

13. Model with Arrays With square tiles, make 3 groups of 2. Turn this into an array. This is an array with 3 rows of 2 tiles each. We can write this 3 x 2 = 6.

14. Model with Arrays We describe this as a 3 by 4 array because there are 3 rows with 4 tiles in each row. 3 x 4 = 12 3 rows of 4 is 12 3 fours is 12 3 rows 4 tiles in each row

15. Model with Arrays Make as many arrays as you can with 10 square tiles. Record the arrays you make by writing the multiplication sentence that corresponds to the array. 10 x 1 = 10 2 x 5 = 10 1 x 10 = 10 5 x 2 = 10

16. Model with Arrays To find the product of 4 x 6, make an array with square tiles. Remember: 4 rows of tiles, with 6 tiles in each row. 12 3 4 5 6 78 9 10 11 12 1314 15 16 17 18 1920 21 22 23 24 To find the product of 4 x 6, count up all your tiles. 4 x 6 = 24

17. Game: How Many Rows? How Many in Each Row? DIRECTIONS: Roll the dice One die is the number of rows; the other is the number in each row Draw the array on your grid Write the multiplication equation inside the rectangle The player with the most squares covered wins

18. Exit Ticket Match the array to the equation. 3 × 6 = 18 4 × 3 = 12 2 × 6 = 12 1 × 12 = 12 5 × 6 = 30