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Mental Math Grade 6 Teacher's Guide

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C. <strong>Mental</strong> Computation—Subtraction<br />

• Back Down Through 10/100/1000 (Review)<br />

It is reasonable to expect most students to mentally<br />

keep track of no more than two combinations,<br />

especially if there is trading involved.<br />

This strategy extends one of the strategies students learned in <strong>Grade</strong> 3 for<br />

fact learning. It involves subtracting a part of the subtrahend to get to the<br />

nearest ten or hundred, or thousand and then subtracting the rest of the<br />

subtrahend. It was introduced in grade 3 for fact learning, extended to<br />

numbers in the 10’s and 100’s in grade 4, and to numbers in the 1000’s in<br />

grade 5.<br />

Examples<br />

a) For 15 – 8, think, “15 subtract 5 (one part of the 8) is 10, and 10<br />

subtract 3 (the other part of the 8) is 7.”<br />

b) For 74 – 6, think, “74 subtract 4 (one part of the 6) is 70 and 70<br />

subtract 2 (the other part of the 6) is 68.”<br />

c) For 530 – 70, think, “530 subtract 30 (one part of the 70) is 500 and<br />

500 subtract 40 (the other part of the 70) is 460.”<br />

d) For 8600 – 700, think, “8600 subtract 600 (one part of the 700) is<br />

8000 and 8000 subtract 100 (the rest of the 700) is 7900.”<br />

Practice Items<br />

74 – 7 = 97 – 8 = 53 – 5 =<br />

420 – 60 = 340 -70 = 630 – 60 =<br />

540 – 70 = 760 – 70 = 320 – 50 =<br />

9200 – 500 = 4700 - 800 = 6100 – 300 =<br />

7500 – 700 = 8 00 – 600 = 4200 – 800 =<br />

9500 – 600 = 3400 – 700 = 2300 – 600 =<br />

Add your own practice items<br />

32 <strong>Mental</strong> <strong>Math</strong> – <strong>Grade</strong> 6

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