These fact cards are designed to help students attain mastery of the second level of their multiplication facts. Multiplication Level 2 consists of the 4, 6, 7, 8, and 9 times tables. Students must have mastery of their addition and subtraction facts through 20 before starting multiplication level 2 fact practice. Students must also have mastery of multiplication level 1 before starting multiplication level 2.
Students must have mastery (automatic recall) of their math facts so that they can focus on the harder problem solving processes. A student has automatic recall of a fact when he or she has practiced the fact enough with effective strategies to be able to produce a correct answer immediately. The student knows the fact automatically when he or she no longer needs a strategy to figure it out; he or she no longer has to pause and think.
Before learning the 8x table in a picture, the student should model the 8x table in rows or columns of equal groups of 8 with concrete objects such as counting tiles or blocks.
The student should see the pattern of equal groups in the rows or columns. In this example, the groups of 8 are shown in the columns. The student should learn how to read a table from left to right, adding groups of 8, or right to left, subtracting groups of 8.
“Do you know 5 groups of 8? If 5 groups of 8 is 40, then how much is 6 groups of 8? Add 8 to 40 to get 48.” The student should know 5 X 8 because it was mastered in level 1 multiplication. This strategy, shown in the picture above, is called using the nearest fact.
A student should progress through the fact card arithmetic levels in the sequence below. He or she must have mastery of prior levels before progressing to the next level.