Lesson1
Lesson1
These lessons are based on Vedic Maths" principles and other maths tricks.These principles are general in nature and can be applied in many ways and very very useful in commercial arthematics. I hope all of you like these lessons and make your calculation more fast and save lot of time in daily calculations and examinations or any entrance test like CAT /IIT /BANK PO /ENGINEERING ENTRANCE TEST/PMT /MCA ENTRANCE TEST/MBA ENTRANCE TEST etc etc

Method for multiplying numbers where the first figures are same and the last figures add to1 0 . 42 x 48 =
Both numbers here start with 4 and the last
figures (2 and 8) add up to 10.
just multiply 4 by 5 (the next number up)
to get 20 for the first part of the answer.
And we multiply the last figures: 2 x 8 = 16 to
get the last part of the answer
Method for multiplying numbers where the first figures add up 10 and the last figures are same 44X64
Here first figures are 4 and 6 and their add up 10 and unit figures of both number are same Just multiplying the last figures 4x4=16 Put it at right hand side
Again multiplying the first figures and add common degit(4x6 )+4=24+4=28 put it at left hand side Now we get required answer2816
Similarly 36x76 , 6X6 =36 right hand side , (3x7)+6= 21+6=27 left hand side Required answer is 2736
NOTE If multiplication of last figures is less than 10 add zero before unit digit Ex 81x21 , 1x1=01,( 8x2)+1= 16+1=17 Required answer 1701
Method for multiplying numbers where the first number"s add up10 and and the second number's digits are same 46X55
Here first number's add up is 10 and second number "s digits are common i.e 5 Just multiplying last figures of both numbers 6x5 =30 put it at right hand side Again multiplying first figures of both numbers and add common digit of second number (4x5)+5 =20+5 =25 put it left hand side

Required answer is 2530 ( If multiplication is in unit in first step add zero before it)...

...Assignment 1: Number and Operations
. . . Math 1901 .
1.
−3 + 2 =
a. The temperature in the morning when you leave to come to school is -3 degrees. When the sun comes out, the temperature warms up by 2 degrees. What is the temperature after the sun comes out?
1 0 -1 -2 So by moving up 2 degrees, we see that we end up at -1 degrees. -3 To solve this problem, start by finding -3 degrees on our thermometer/ number line. We know from before, that when we are adding numbers, we move up the number line.
-3 + 2 = -1
-4 Morning temp Rise in temp
b. A frog is sitting on the stairs, on the 3rd step down from the main floor. It jumps up 2 steps. Which step is it on now?
Main Floor -1 step -2 step -3 step -4 step -5 step So by having our frog jump up 2 steps, we see that we end up on 1 step below the main floor, or -1. To solve this problem, start by putting our frog on the 3rd step down from the main floor (-3). We know from before, that when we are adding numbers, we move up the number line, or in this case the stairs.
-3 + 2 = -1
2.
5 − (−3) =
a. Black tokens are positive numbers, red tokens are negative numbers. There are 5 black tokens in the cup. I want to take out 3 red tokens. How many tokens are left in the cup? I have no red (negative) tokens in my cup, so I need to add some. By adding some, that changes how many I have...

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...STELLAR NUMBERS
In order to develop this mathematics SL portfolio, I will require the use of windows paint 2010 and the graphic calculator fx-9860G SD emulator, meaning that I will use screenshots from this software with the intention of demonstrating my work and process of stellar numbers sequences.
Triangular numbers are those which follow a triangular pattern, these numbers can be represented in a triangular grid of evenly spaced dots.
The sequence of triangular numbers is shown in the diagrams above. The first stage has 1 dot; the second stage has 3 dots (1+2); the third stage has 6 dots (1+2+3); the fourth stage has 10 dots (1+2+3+4); the fifth stage has 15 dots(1+2+3+4+5); the sixth stage has 21 dots (1+2+3+4+5+6) ; the seventh stage has 28 dots(1+2+3+4+5+6+7) and the eighth stage has36 dots(1+2+3+4+5+6+7+8). As it could be noticed, there is a sequence where in every stage the number of dots is obtained by adding up all the positive integers that correspond to the previous stages and every time one more number is added.
In terms of n, where n matches up to the stage number, it is accurate to establish an equation so that when trying to find the number of dots in stage 592, it is easy and fast by simply applying the following formulae:
Now it is possible to find the nth number by using the formula, going back to the...

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total time in which the ball was in the air is 10 seconds
f) The two times in which the ball was 1 metre above ground is 0 and 9
Adonis Chigeza 10C
LCR Mathematics
Problem Solving and Reasoning Task
1.
Equation: y = -1.2𝒙2 + 8.4𝒙
a. The bridge is 7 metres wides so therefore it will successfully span the river with 2
metres to spare.
b. If a yacht has a 15 metre mask it will be unable to pass safely under the bridge
because the bridge only has a vertical height 14.7 metres.
Adonis Chigeza 10C
LCR Mathematics
2. Equation: v= -0.2h2 + 2.4h
a. The horizontal distance covered by the rocket when it reached its maximum
height of 7.2 metres was 6 metres.
b. The maximum height reached by the rocket was 7.2 metres.
c. At the horizontal distance of 9 metres from the launch site, there is a 5.2 metre
wall and at that vertical distance, the rocket has a vertical distance 5.4 metre.
That is not taking to account the dimensions of the rocket, however the rocket
cannot have...

...• What were the most revolutionary social and economic developments of the last quarter of the nineteenth century?
• How did different groups of Americans respond to those changes and how effective were their responses?
• What role did government play in these developments?
In the late 1900s some of the most social and economic developments were railroads, steel oil, the type writer cash register, light bulb and agriculture. The development of the railroad made it easier for immigrant to come to this country for work. This meant that there were more group of different races and cultures in America. And in some states there became an over population and city workers like police and garbage men could not keep up with the demand of so many people. Some groups mover to open land for the Homestead Act. They had hope of farming and staying on the land for at least five years as agreed but the supply and demand of agriculture did sustain so many farmer moved off the land well before their five years. The government played many different role I deescalating some issues in American history. Women and children were being worked for long hours and getting paid a little bit of nothing in return for their hard work. So the government put labor laws into place that were to protect women and children. As oil, steel and railroad industries grew so did the levels of pollution. The government again put laws that were to protect animals and the earth so that there would not...

...might need to operate not just in defence of the continent but also ‘in
167
History as Policy
operations elsewhere’. The Review of Australia’s Defence Capabilities (or Dibb
Review) and the 1987 Defence of Australia took the same view. For example,
Defence of Australia said:
A requirement has also been identified for Australia’s defence policy to
take account both of developments in the South-West Pacific and
South-East Asia—our region of primary strategic interest—and to be
capable of reacting positively to calls for military support further afield
from our allies and friends, should we judge that our interests require
it.10
This language was not just for show. In private, the government of the day
was very focused on a number of scenarios in which Australian forces might be
deployed on expeditionary operations—such as the then much-feared
contingency of a clash on the Indonesia–PNG border. It vigorously maintained
Australia’s forward commitments in Asia through the Five Power Defence
Arrangements11 and in other ways, and when crises arose (for example in Fiji
and in the Persian Gulf in 1987), it was quick to deploy forces.
So expeditionary deployments were in no sense precluded by the ‘defence
of Australia’ policies of the 1980s. Nonetheless, they did place much less emphasis
than previous policies on operations to defend Australian interests beyond the
continent, and it is worth asking why. The explanation has several elements....

...Nicolas, Fatima May D.
2014 45876
My Math Experience
When I was younger math was my favorite subject, it was something that I felt very confident
with. Unlike english, history, and literature, where I had to exert extra effort, math was the only
subject that really came naturally to me. I remember when I was a kid my dad would test me on math questions, usually about lines and figures. What kind of line intersects, what are parallel
lines? I was probably about 7 years of age, and it really impressed family friends when the
answer was correct.
In school, I always did well in math especially basic math, it was simple and it was easy.
Back then, I still have the capacity to help out other students and I was always helping out
friends with their assignments. I always got high grades on tests and I was usually done first
when it came to exams. It was really up until I started high school. Then, algebra happened, since
we didn’t have any lessons given regarding algebra (even the most basic ones) during elementary
I didn’t understand a word the teacher was saying, it was like I was reading a different language.
It was hard at first because I for one like solving problems with numbers but when it started
involving letters I knew I had to work harder because it would be different than what we have ...