Tools to record observations

Hi friends, In today's Math Problem Solver session we will discuss about Tools to record observations. When we do some experiments and get some observations from those experiments are recorded, these observations are used in further experiments and also in the same experiment to evaluate the results. These tools are helpful for students of grade V of Andhra Pradesh board in mathematical problems solving. There are many tools to record observations which are useful to provide the previous result when needed, rules for recording the observations are as follows:
Peel off notes: In this record structure observations are recorded in the form of labels and these records have the date – time stamp and whenever there is any need for any observation it will be easily extracted from the notes.
Clip board chart: In this type of recording tool there is a sheet that is partitioned for each group of experiment and for every single experiment all the related observations are write into the corresponding section. At the end of the time that would be a week or month all the observations are placed into the permanent individual card that are specific to each experiment.
Sticky notes: This is very similar to the peel off notes but difference is that after completion of time it will be replaced by the new sticky notes.
Binder notes: In this type of record structure for every experiment there is three or more ring binder and all the observations are placed into the sheets that is related with the experiment and in this there is no need to put the record in different sheets but put them only one time with their time and date stamp .
Computer files : In this record structure first of all in computer maintain the different files for each experiment and transfer each observation directly from the book into the computer file .

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Problem solving strategies

Problem solving strategies are defined as steps to solve the problem or define the way of problem solving. In Problem solving strategies we discuss the process of solving the large problems that have steps, we first break the large problem into some small solvable problems and if the problem is complex then subdivided each part of problem into less complex solvable part.
Define all the variables that are given into the problem as well as all the functions (also play functions and relations worksheet) that are defined into the problem and modulate that part or functions according to the need.
This problem solving strategies helps the students of grade V of AP state intermediate board to understand the way that how a complex problem is solved using different type of strategies.
If we talk about the word problem solving strategies then it will be describe as:
(1) First of all write the problem in your own words that helps to understand the problem in more effective way and consider all the variables and the functions that are applied on these variables.
(2) After the step mentioned above we draw appropriate diagram according to the given problem and finds the answer based on the diagram.
(3) Make the record or list for all the calculation that is done to solve the problem and calculate the answer is other strategy to solve the problem
(4) Another strategy is Predict the answer of the given problem and When get the answer according to the calculation then check it with the predict answer.
(5) Divide and conquer the problem means first divide the problem into small parts and then solve these parts and again combine them to get the answer.
(6) Other strategy is to find the problems that have the same pattern and solved before then follow the pattern to solve the problem.

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Mathematical Reasoning

Mathematical reasoning definition is describe as solve the problem without knowing that what is to be done and when you know how to solve math problems then it is not consider as mathematical reasoning .
Mathematical reasoning are containing the problems that are not in routine and they are not solved by using any procedure these problems are solved by making own strategies and these are not based on the single strategy but based on the variety of strategies.
It should be noted then these are not follow any procedure if you stuck any where then you need to do something to solve the problem occur at that time.
There are some mathematical reasoning examples that helps the student of grade V to understand the way how to solve the problems of mathematical reasoning are as follows:
Example (1): Write the numbers that have 11 tens, 8 ones and 2 hundreds?
Example (2) :If Jon have 23 chocolates and he put equal number of chocolates in two bags and after putting seven chocolates are left then how many chocolates he put into each bag ?
These problems are needed only of little bit attention to solve. These problems are considered as mathematical reasoning problems.
These types of problems are helping the students to make their mathematical concept strong as well as math homework help the student to save their extra time that is spend in problem solving as for example If we want to multiple the number 36 * 17 then it will solved in more easy way as add 4 to 36 that is equal to 40 (36 + 4) and add 3 in 17 to make it 20 as (17 + 3) and multiply them that is much easier then multiply 36 * 17 and answer for multiplication 40 * 20 = 800 and subtract 4 and 3 means 7 from 800 that is 793 that is the actual answer for 36 * 17 .

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Mathematics in daily life

Free Math Help : Math has some specific definition according to that definition it is a science that helps in structuring, ordering and relating the things with each other.
In other words it helps people in counting, describing and measuring the things that have very much importance in our life. So use of mathematics in daily life is very vital that helps us in counting the things. Can you imagine your life without measuring or counting the things or other materials, no we never expect our life without use mathematics our daily life so there are many things in our life that can never be assumed without math so we take some of very interesting examples that help students of grade V of Andhra Pradesh board to understand the use of math.
When life starts we count the number of days after birth of a child, and then count number of months and then count number of years, so without math it is not possible. There are many examples in our life like traveling to some place or money management or playing any game like playing football or making any recipe by measuring the weight of ingredients or making new friends or increase the number of employee in the organization or finding the distance between two places that unintentionally use the math in calculation .
Math is universal means it starts when the human being is born, it was invented by the human being for day to day calculations and it is not related with a specific region it is for all and also same for all .It helps us in taking the decisions and other important work that belong to our daily routine life.

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Possible outcomes and making predictions

Hi Friends, In today's tutoring session we will focus on Possible outcomes and making predictions. Possible Outcome of an event or making predictions in any event are relatively similar terms, as in both the cases one has to look at the likelihood or relative frequency for something to happen, Predicting what will happen is a valuable real thinking skill of any person which helps him get closer to the possibility of an event.
While concluding about the possible outcomes one must also take care about how he/she is making predictions in them and this ways the objective of getting closer to the reality of the event can be achieved, generally these type of problems are practiced with grade V students.
Now, let us take few examples with which we can be closer to the in predicting the Probability of Occurrence of an Event.
1. If an individual has a choice of picking 3 Shirts, 5 Jeans and 4 Shoes, predict how many different outfits one can be in (assuming nothing can be picked more than once).
In such case we can see that the possible number will be= 3*5*4.
2. If a day, has to be chosen from the month of September ( 30 days ) having 3 in the date, what is the possibility of that day to occur ?, this can be easily seen that possibility is 4/ 30 ( 3, 13, 23 and 30 ).
Have you ever thought that in your day to day life you come across so many things which run on the principle of prediction, for instance say weather forecast, Stock markets, the environment etc.? The generation and analysis of data is becoming extremely prevalent in today’s world, where data is generated at the occurring of every event and thus making it extremely important to use this data properly to do, the proper prediction of any particular event.

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Mean and median in Maths

Hello friends today we are going to learn some topics of Statistics included in Grade V of Karnataka state board. To understand about statistics we have to learn about two important terms which are Mean and median. Mean, Median the two kinds of most common averages and are used very commonly in Statistics.
Definition of Mean: Mean means average where addition of all numbers is done and then we divide it by total amount of the numbers .
Example1:
Find the Mean: 13, 52, 2, 13
sum is: 80
Divide 80 by 4: 20
'Mean'  = 20
Definition of Median: It is the middle value from the list of the numbers arranged in the numerical order. After arranging list into increasing order we have to check the numbers of the list, if it is odd the median is the middle number in the list .If Total of list is even then median is equal to sum of the middle two numbers divided by two
Examples for calculating Median
Example 1:8, 2, 43, 16, 14 (Odd Numbers)
Line up numbers in increasing Order: 2, 8, 14, 16, 43
Median : 14 (The number in the middle)
Example 2:
Find  Median : 8, 2, 43, 16, 14, 6 (Even amount of numbers)
Line up : 2,6,8,14,16,43(Increasing Order)
Add the 2 middle numbers and divide by 2:- 14, 8=(14+8)/2=22/2=11
The Median is 11.
Solved Problem:
Find the mean, median of the following numbers:
12, 17, 12, 13, 12, 15, 13, 20, 14
Mean =(12 + 17 + 12 + 13 + 12 + 15 + 13 + 20 + 14) ÷ 9 = 14.2
Median=12, 12, 12, 13, 13, 14, 15, 17, 20 = 13
Hope you understood about Mean and Median with the help of Explained Examples.

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grade V

Elapsed time is the time between the start time and end time. Elapsed time in 10am to 2pm is 4 hours as the time present in between the start time 10 am and end time 2pm is 4 hours. Elapsed time is calculated by counting the number of hours within the start time and end time. While calculating the elapsed time it is always important to notice the time unit whether it is morning (am) or evening (pm).AM means anti- meridiem and PM means post-meridiem which is nothing but 12:00 A.M. and 12:00 P.M. respectively.
A.M is the part of the day that starts immediately after mid night which is morning and P.M is the part of the day that starts immediately after mid day and that is afternoon. A.M. and P.M. are generally used in twelve hour clock, in order to avoid confusion many use a 24 hour clock in which 1 P.M is referred to as 13^th hour and so on till the 24^th hour of the day. Here are a few examples to show elapsed time clearly:

S.NO	START TIME	END TIME	ELAPSED TIME
1	06.00 PM	8.30 PM	2 HOURS 30 MINUTES
2	04.00 AM	10.30 AM	6 HOURS 30 MINUTES
3	03.00 PM	12.00 AM	9 HOURS

Temperature is a property through which heat is measured. A body is said to be at low temperature if it is cold. It is measured in degrees Celsius and Fahrenheit’s body is said to be at a high temperature if it is hot. Heat always flows from a hot body to a cold body. When a hot metal is placed in cold water the heat from the hot metal flows into the water and the water becomes hot and the metal becomes cold after some time this is because of flow of heat from the metal to the water which is nothing but transfer of energy. As heat is a form of energy it flows from a hot body to a cold body (also read Newtons law of cooling formula). The concept of temperature is used very often in our daily life. We measure the weather condition through degrees of temperature and also temperature of our body is again an important concept which we see in a daily life. The normal temperature of human body is considered to 98.6 degrees Celsius, if the temperature is above or even 100 degrees Celsius then it means that the person is suffering from fever and high temperature occurs only when someone suffers any diseased condition. Water forms ice when it is at zero degrees Celsius, when ice is heated (which means that the temperature of ice is increased) then, it forms water. Fahrenheit and Celsius are the scales used to measure temperature. Heat is an energy that transfers itself from one body to another. It is a form of kinetic energy in an object or a substance. Even though temperature and heat are almost the same they are not the same .the difference between temperature and heat is temperature is form of internal energy that is present in a system while heat is form of energy that is transferred from one body to another. Heat flows but temperature does not flow it remains in the same body. Temperature is measured using a thermometer or a calorimeter. The Kelvin scale is a scale used to measure temperature in physics. When it is adjusted to zero degrees Kelvin then is called as absolute zero in physics. Math Problems based on conversion of one unit of temperature to another are given in physics and chemistry. K = °C +273 this is the formula used for kelvin.98.6 °F = 37.0°C = 310 K where F is Fahrenheit’s is Celsius or centigrade and K is Kelvin.

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