Monday, December 20, 2021

Learning Styles


There are four learning styles based on different ways students perceive information. For some, it is easier to visualize information, for others, it is all about reading.
The VARK model stands for:
  • Visual Learning: Visual learners in our school like to observe and see the things that they are learning learning about. they like to use pictures, diagrams and written directions to access information.
  • Auditory Learning: Auditory learners in our class learn best by listening and relating information to sounds. They prefer listening to lectures or recordings and think out loud.
  • Reading / Writing Learning: Reading / writing learners like to learn using written words. They like to express themselves by writing. They enjoy reading articles or writing diaries or journals.
  • Kinesthetic Learning: Kinesthetic learners learn by experiencing and doing, they like to use their hands and bodies as learning instruments. they may seem wiggly at classroom.

Divisibility By 7 and 11

Divisibility By 7 and 11

Any number can be written in the form of 10x+y, where y is the unit digit and x is the remaining part.

Example: 3221=322×10+1                             x=322 and y=1

                  32479=3247×10+9                        x=3247 and y=9


Divisibility by 11:

If 10x+y is divisible by 11, then -10x-y is divisible by 11

And if 11x is divisible by 11, then their sum 11x+(-10x-y)=x-y is divisible by 11

Example: 1089: x=108 and y=9                   x-y=108-9=99 is divisible by 11 then 1089 is divisible by 11

Example: 722238: x=72223 and y=8         x-y=72223-8=72215

                     72215: x=7221 and y-5                x-y=7221-5=7216

                     7216: x=721 and y=6                   x-y=721-6=715

                     715: x=71 and y=5                        x-y=71-5=66

66 is divisible by 11 then 722238 is divisible by11


Divisibility by 7:

If 10x+y is divisible by 7 then -10x-y is divisible by 7 and 7x+7y is divisible by 7, then their sum is divisible by 7

-10x-y+7x+7y is divisible by 7

-3x+6y is divisible by 7

-3(x-2y) is divisible by 7

-3 is not divisible by 7 so x-2y is divisible by 7

Example:14924: x=1492 and y=4                               x-2y=1492-8=1484

                    1484: x=148 and y=4                                   x-2y=148-8=140

                    140: x=14 and y=0                                        x-2y=14-0=14

14 is divisible by 7, then 14924 is divisible by 7

 

               


Learning Styles

There are four learning styles based on different ways students perceive information. For some, it is easier to visualize information, for o...