3rd Grade Reading Arrays Two Ways Worksheet: Circles, Hearts, Balls
An array is a set of objects lined up in equal rows and equal columns. This 3rd grade reading arrays two ways worksheet shows three of them. There are 12 green circles, 25 red hearts and 30 shiny red balls. For each array, your child writes one multiplication sentence and one division sentence. A girl waving a stick and a little girl dressed as a bee cheer from the margins. Page two works through the circles step by step, then gives the facts for the hearts and the balls.
Rows one way, columns the other
The same picture can be read in two directions, and that is the whole point of the page. The 12 circles form 3 rows of 4, or 4 columns of 3. The key counts the columns and writes 4 × 3 = 12. Then it shares the 12 circles back into the 4 columns: 12 ÷ 4 = 3.
The balls work the same way. There are 6 rows of 5 balls, so 5 × 6 = 30 and 30 ÷ 5 = 6. Reading by rows instead gives 6 × 5 = 30 and 30 ÷ 6 = 5, which is just as correct.
At the table: count one line only
Children do not need to count every heart. Counting one row and one column is enough. The hearts make 5 rows of 5, a square array, so both readings give the same fact: 5 × 5 = 25 and 25 ÷ 5 = 5.
Mark each counted row with a light pencil tick, so no line is counted twice. The instruction on the page says "expressions that describes", and the key writes "colums" and "secondly" with small slips. Point them out with a smile. The answers themselves are all correct.
After the page: a muffin tray array
Bring out a muffin tray, an egg box or a chocolate bar with squares. Together, count the rows and the columns, then say both facts out loud, like 2 × 6 = 12 and 12 ÷ 2 = 6. Then turn the tray a quarter turn and read the other pair of the fact family. Finish by checking the page against the answer key on page two.
About this reading arrays two ways page and its worked answer key








