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Mathematics Exercises. Sharing KONG Ching-wah. mx + nx =(m + n)x. 7x + 4x =11x. A case. 7x + 4x = 15x + 23x = 11x + 36x = 38x + 25x = 14x + ax = ax + bx =. Assignment is:. By order No choice Routine work Boring Too easy/too difficult Not align with assessment. -6 +(-77)
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Mathematics Exercises Sharing KONG Ching-wah
mx + nx =(m + n)x 7x + 4x =11x A case 7x + 4x = 15x + 23x = 11x + 36x = 38x + 25x = 14x + ax = ax + bx =
Assignment is: • By order • No choice • Routine work • Boring • Too easy/too difficult • Not align with assessment
-6 +(-77) = 12 -35 = -28-(-39) = -16 +(-37) = -47 -(-18) = 23 + (-37) = -36 - (-57) = (-36) - (-57) = -65 - (37) = 18 - (-7) = 26 - (-47) = -37 -(-18) = -22 -37 = -36 - 57 = -16 - (-37) =
-28-(-39) = 5 – 2 = _____ 5 – 1 = _____ 5 – 0 = _____ 5 – (-1) = ____ 5 – (-2) = ____ 5 – (-3) = ____ 5 – (-4) = ____ 5 – (-5) = ____ 5 – (-6) = ____ 5 – (-7) = ____ 8 –(-12) = ____ 18–(-24) =____ 5 – (-7) = _____ 4 – (-7) = _____ 3 – (-7) = _____ 2 – (-7) = _____ 1 – (-7) = _____ 0 – (-7) = _____ -1 – (-7) = _____ -2 – (-7) = _____ -3 – (-7) = _____ -8 – (-12) = ____ -18–(-24) = ____
28 + -36 - 35 -17 - 29 -26 12 - + 52 -33 13 + - -19 -22 - +
] [ / -5 [ ]( ) -
4ab + 3a2b + 2ab Use , and to divide the following expressions into three groups. xy 3x2y xy2 4xy 2xy2 3x2y -5xy -2x2y 16xy -23x2y 43x2y -11xy2 7xy -16xy 89xy2 5xy2 -3x2y -34x2y 25xy -19xy2 -20x2y
2ab + 3a2b How many “7”s are there? 2(7) + 3(7) = ___________ How many “x” are there? 2x + 3x = _____________ How many “xy” are there? 2xy + 3xy = ___________ Can we add them up? 2xy + 3x2y = ___________ = ___________
(4x - 3) + (-7x + 9) = 2 + 5 = 1 + 5 = 0 + 5 = -1 + 5 = -2 + 5 = 2x + x = 2x + (-x) = 2x + (-2x) = 2x + (-3x) = 2x + (-5x) = Group the like terms. (3x2+5x-8) + (-5x2-7x-6) =
120o = ------- of a circle ? A O 120o B 120o The area of sector OEF is ? Find the area of the shaded part. O O E E 90o 3cm 90o 3cm F F Find the area of sector OAB 6cm
Find the total surface area of the following object. Dimension Area No. of piece Total Area 3cm 3cm 3cm 3cm H H 3cm 3cm 12cm 12cm 4cm 4cm H H 4cm 4cm 3cm 3cm H
Find the total surface area of the following object. 3cm 3cm H 3cm 12cm 4cm H 4cm 3cm
A Story Mode Divided by 2 Multiply by 2 25* 47 12 94 6 188 3* 376 1* 752 I can only do the operations of “multiply by 2” and “divided by 2” and I can do the multiplication of all numbers. This is the way I do 25(47) 47 + 356 + 752 = 1175 25(47) = 1175 • Find the way that John did his calculation. • Why it works in this calculation? • Is this method applicable to all operation of multiplication of two numbers? John
Believe or not? When the sum of all the digits in a number is divisible by 3, this number is divisible by 3. Do you believe? Give your reason.
The Design: • Of own learning • Of own choice • Learning task • Variety • Suitable challenge • Cross topics • Learn new things and strengthen the old.