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division Yan
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【1】 Arrangement 【2】 Difference 【3】 Today's lesson
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Term 1 Grade 3 Term 2 Grade 3 Term 1 Grade 5
divided by a one-digit number divided by a two-digit number division of decimal divide two-digit numbers divided by tens divided by a whole number divide three-digit numbers one-step division divided by a decimal two- or three-step division
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1 Greeting &Test
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2 Review 1 Greeting &Test
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DMSB
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Term 1 Grade 3 Term 2 Grade 3 Term 1 Grade 5
divided by a one-digit number divided by a two-digit number division of decimal divide two-digit numbers divided by tens divided by a whole number divide three-digit numbers one-step division divided by a decimal two- or three-step division
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2 Review 1 Greeting &Test 3 Divided by a one-digit number(1)
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432÷3= 144 1 4 4 432 3 3 2 3 1 12 13 tens 1 12 1. Divide the 4 hundreds by 3, it's 1 hundred. 2. Divide the 13 tens by 3, it's __ tens. 4 3. Divide the __ ones by 3, it's __ ones. 12 4
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2 4 1 3 Greeting &Test Divided by a one-digit number(2) Review
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652÷5= 130r2 1 3 r2 652 5 5 2 5 1 15 2 1. Divide the 6 hundreds by 5, it's __ hundred. 1 2. Divide the __ tens by 5, it's __ tens. 15 3 3. Divide the __ ones by 5, it's __ ones. 2
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421÷4= 105r1 1 5 r1 421 4 2 1 4 2 20 1 1. Divide the 4 hundreds by 4, it's __ hundred. 1 2. Divide the __ tens by 4, it's __ tens. 2 3. Divide the __ ones by 4, it's __ ones. 21 5
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138÷6= 23 Can 1 be divided by 6? 2 3 138 6 8 12 1 is less than 6. Divide the tens directly. 1 18 1. Divide the 13 tens by 6, it's __ tens. 2 2. Divide the __ ones by 6, it's __ ones. 18 3
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2 4 1 3 5 Greeting &Test Divided by a one-digit number(2) Review
Divided by tens
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82÷30 circle by 30 ( )×30<82 2 ( )×30>82 3 2 So, ___ 30s in 82, ___ remain. 22
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reasoning 82÷30 quotient 8÷3 ( ) 2 80÷30 ( ) 2 82÷30 ( ) 2 2
8÷ ( ) 2 80÷ ( ) reasoning 2 82÷ ( ) 2 2 So, ___ 30s in 82, ___ remain. 22
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82 paper-cuts for 30 children. How many can each one get?
82÷30= 2 r22 82 30 60 ······2×30 22
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2 4 6 1 3 5 Greeting &Test Divided by a one-digit number(2)
one-step division(1) 2 Review 1 Greeting &Test 3 Divided by a one-digit number(1) 5 Divided by tens
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296÷32= How many 32s in 296? 32×1=32 32×2=64 32×3=96 32×4=128 32×5=160
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9 r8 296 32 288 8 296÷32= 9r8 first quotient try quotient
How many 32s in 296? 296 32 Think: How many 30s in 296? 288 ___ 30s in 296, 9 8 first quotient 9×32=288, try quotient 8 remain.
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2 4 6 1 3 7 5 Greeting &Test Divided by a one-digit number(2)
one-step division(1) 2 Review 1 Greeting &Test 3 Divided by a one-digit number(1) 5 Divided by tens 7 Practice
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2 4 6 8 1 3 7 5 Greeting &Test Divided by a one-digit number(2)
one-step division(1) 8 one-step division(2) 2 Review 1 Greeting &Test 3 Divided by a one-digit number(1) 5 Divided by tens 7 Practice
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r11 8 7 172 23 184 161 11 172÷23= 7r11 How many 23s in 172? Think:
8×23=184, too big !!! 7×23=161, 11 remain.
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6 7 273 39 234 273 39 273÷39= 7 try quotient with 40 Think:
How many 40s in 273? 234 273 ___ 40s in 273. 6 39 6×39=234, too small !!! 7×39=273, 0 remain.
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【1】 Arrangement 【2】 Difference 【3】 Today's lesson
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1. Different form England: short division&long division China: long division only Most students in 6B like short division at first. In my opinion, long division can present the meaning of each step.
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2. Different attitude to teaching resauces
England: many resources in almost each lesson China: use not much
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432÷3= 144 1 4 4 432 3 3 2 3 1 12 13 tens 1 12 1. Divide the 4 hundreds by 3, it's 1 hundred. 2. Divide the 13 tens by 3, it's __ tens. 4 3. Divide the __ ones by 3, it's __ ones. 12 4
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652÷5= 130r2 1 3 r2 652 5 5 2 5 1 15 2 1. Divide the 6 hundreds by 5, it's __ hundred. 1 2. Divide the __ tens by 5, it's __ tens. 15 3 3. Divide the __ ones by 5, it's __ ones. 2
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2. Different attitude to teaching resauces
England: many resources in almost each lesson China: use not much Teaching resauses is really necessary sometimes because it helps understanding. Chinese teachers aim to develop the student's thinking from visual to abstract.
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3. Chinese teachers teach special division
China: special division: 0 in the middle, 0 in the end England: 0 in the front China: like to estimate how many digits the quotient has before calculate
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4. Different teaching methods
China: “try quotient” is quite important when devided by a two-digit number.
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2 4 6 8 1 3 7 5 Greeting &Test Divided by a one-digit number(2)
one-step division(1) 8 one-step division(2) 2 Review 1 Greeting &Test 3 Divided by a one-digit number(1) 5 Divided by tens 7 Practice
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296÷32= How many 32s in 296? 32×1=32 32×2=64 32×3=96 32×4=128 32×5=160
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4. Different teaching methods
England: advantage: easy to understand disadvantage: slow,easy to make mistakes, not good to develop students' thinking
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9 r8 296 32 288 8 296÷32= 9r8 first quotient try quotient
How many 32s in 296? 296 32 Think: How many 30s in 296? 288 ___ 30s in 296, 9 8 first quotient 9×32=288, try quotient 8 remain.
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4. Different teaching methods
England: advantage: easy to understand disadvantage: slow,easy to make mistake,not good to develop students' thinking China: advantage: fast disadvantage: need more thinking,more old knowledge
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5. Different time to practice
England: no homework China: have homework every day, practice each day but not too much when practice, they also think,even bring new thinking.
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6. Different lesson plan China: small step
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Term 1 Grade 3 Term 2 Grade 3 Term 1 Grade 5
divided by a one-digit number divided by a two-digit number division of decimal divide two-digit numbers divided by tens divided by a whole number divide three-digit numbers one-step division divided by a decimal two- or three-step division
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【1】 Arrangement 【2】 Difference 【3】 Today's lesson
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THANK YOU!
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