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Commutative law
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Story: Monkey king and peaches Arithmetic Calculation Operation How do you feel? Explain it in maths
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Find similarities and differences
3+4= =7 3+4=4+3
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Task 1 8+18=26 18+8=26 8+18=18+8 How many cans of fruit juice in all?
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Task 1 Can you give other examples like this?
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commutative law of addition
Task 1 Add two numbers, exchange the place of the numbers being added and their sum remains the same. commutative law of addition
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Task 1 Algebraically: a + b = b + a
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Game Time I say 1+2 you say 2+1
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follow-up exercises 214 y ☆ △ 1 1 5 5 ……
Fill in the blanks by using commutative law of addition 256+214= +256 X+Y= +X △+☆= + 十 367=367 + 214 y ☆ △ 1 1 5 5 …… Add two numbers, exchange the place of the numbers being added and their sum remains the same.
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Task 2 Does any other operation have commutative law? Show examples of each operations
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commutative law of multiplication
Task 2 Multiply two numbers. Exchange the places of factors and their product remains the same. commutative law of multiplication
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Can you draw a diagram to show it?
Task 2 Algebraically: a × b = b × a Can you draw a diagram to show it?
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34×71= × 45× =55× ×▲= ×■ × =C×D 71 34 55 45 ■ ▲ D C
Fill in the blanks by using commutative law of multiplication 34×71= × × =55× ×▲= ×■ × =C×D 71 34 55 45 ■ ▲ D C Multiply two numbers. Exchange the places of factors and their product remains the same.
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EXERCISE
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1、true or false: 56+38=83+56 is using the commutative
law of addition.( ) 2×3=1×6 is using commutative law of multiplication. ( ) (3) A×B=B+A。( ) (4) □+△+○= □+○+△。( ) × × × √
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2、Fill in the blanks by using commutative law
52×( )=141 ×( ) =55+( )+87 ☆+( )=●+( ) 25×18×4=( )×( )×( ) △×( )×★=( )×★×☺ 141 52 45 ● ☆ 25 4 18 ☺ △
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3、 QUICK CACULATION (STEP BY STEP)
28+45+72 62+38+123 (151+33) 8×23× ×43×40 = = = =251 = =100+45 =145 = =100+38 =138 =25×40×43 =1000×43 =43000 =8×125×23 =1000×23 =23000
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4、Solve the problem Miss White bought gifts for the class, the class has 25 students and each present need 12 pounds, how much does Miss White pay altogether? 25×12 =25×4×3 =100×3 =300
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5. Alex is going to have a party at home
5. Alex is going to have a party at home. His Mum bought 2 dozens of coke, 32 apples, 24 bananas and 8 peaches. How many fruits did she buy?
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Try your best: John and Lucy are calculating 98 + 998 + 98 + 2 × 3, John find the correct answer right away. Can you?
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Summary What have you learned today?
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