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4 It is amazing how many children don't realize that 2 x 4 and 4 x 2 are the same thing. Use manipulatives to explore this concept -- four piles of two is the same as two piles of four = 8, etc. Make sure you approach this idea as "really neat and fun" and "that it makes it really easy and a lot less work to do." Times Five remember all lots of 5 end in a 5 or an 0 Can your child count to 60 by 5? So why bother memorizing them? That's the 5 times table. With lots of practice and game playing, they'll have accidentally memorized most of these problems. The important thing is that if they get stressed and "forget," they can always go back into their own brain for the answers and just figure them out. Why is figuring out important? Consider the job of a nurse. When the doctor asks for the information on a particular patient, does he expect her to have memorized everything about every patient or does he expect her to be able to go and look up the information quickly? Teaching math this way also teaches children how to approach basic fact finding skills. It's amazing what the human brain can put together. Play with the manipulatives. Do lots of oral practice -- anytime and anywhere. Don't force your student and always approach this stuff as number "games." More Review Let's do a review and then get through the "ugly" part (6's, 7's and 8's) in the next couple of lessons. Make sure the student is proficient and comfortable with the doubles, higher doubles and triples. One's -- since any number times one equals itself, just write it down. Two's -- Since two times a number means add it twice, just add -- that's the doubles! Three's -- Since you are such an intelligent child and adding is easy, add the number again to the doubles. Four's -- Since four is really 2 x 2, and since times two means double the number, then you can double the number and then double the answer Five's -- Just count by 5's. You can all count by 5's to 60. Right? Serious no-brainer, kids!

7 Times Nine The nine's are really cool, there are so many patterns. The important one is the one that can be used in reverse, for division, and relies on the calculations. It goes like this: When you need to multiply a single digit times 9, to figure the answer, start with "one less than" the number being multiplied (10's digit). The one's digit is the difference between this number and 9. Examples: 9 X 4 = : One less than 4 is 3, plus 6 more make 9: 36. 9x4=36 9 X 5 = : One less than 5 is 4, plus 5 more make 9: 45. 9x5=45 9 x 6 =: One less than 6 is ? = 9. That's right -- 4!... so 9 x 6 = 54 9 X 7 = : One less than 7 is 6, plus 3 more make 9: 63. 9x7= 63 9 X 8 = : One less than 8 is 7, plus 2 more make 9: x 7 = 72 I hope this makes sense, it is invaluable in upper level calculations. Remember all answers for the 9s add up to 9, e.g. 1 x 9 = 9 (9 + 0 = 9), 2 x 9 = 18 (1 + 8 = 9), 3 x 9 = 27 (2 + 7 = 9) Times Ten Okay, everybody knows how to do this. to multiply any number by 10, just write down the number and stick a 0 on it. This is as easy as the one's! 7 X 10 = X 10 = X 10 = X 10 = 4,920-8 X 10 = -80 Times Eleven Did you know there are 2 patterns for the 11's? I think everyone knows how to arrive at the answers to the single digit numbers: 11 X 1, 11 X 2, etc. To multiply a single digit times eleven, just write the number down twice: 11 X 2 = X 3 = X 4 = 44 This only works through 11 X 9 = 99. What about 11 X 11 and 11 X 12 and even more?

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