division Yan
【1】 Arrangement 【2】 Difference 【3】 Today's lesson
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
1 Greeting &Test
2 Review 1 Greeting &Test
DMSB
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
2 Review 1 Greeting &Test 3 Divided by a one-digit number(1)
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
2 4 1 3 Greeting &Test Divided by a one-digit number(2) Review
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
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
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
2 4 1 3 5 Greeting &Test Divided by a one-digit number(2) Review Divided by tens
82÷30 circle by 30 ( )×30<82 2 ( )×30>82 3 2 So, ___ 30s in 82, ___ remain. 22
reasoning 82÷30 quotient 8÷3 ( ) 2 80÷30 ( ) 2 82÷30 ( ) 2 2 8÷3 ( ) 2 80÷30 ( ) reasoning 2 82÷30 ( ) 2 2 So, ___ 30s in 82, ___ remain. 22
82 paper-cuts for 30 children. How many can each one get? 82÷30= 2 r22 82 30 60 ······2×30 22
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
296÷32= How many 32s in 296? 32×1=32 32×2=64 32×3=96 32×4=128 32×5=160 …
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.
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
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
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.
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.
【1】 Arrangement 【2】 Difference 【3】 Today's lesson
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.
2. Different attitude to teaching resauces England: many resources in almost each lesson China: use not much
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
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
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.
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
4. Different teaching methods China: “try quotient” is quite important when devided by a two-digit number.
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
296÷32= How many 32s in 296? 32×1=32 32×2=64 32×3=96 32×4=128 32×5=160 …
4. Different teaching methods England: advantage: easy to understand disadvantage: slow,easy to make mistakes, not good to develop students' thinking
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.
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
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.
6. Different lesson plan China: small step
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
【1】 Arrangement 【2】 Difference 【3】 Today's lesson
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