Geometry for Special Education Students With Emerging Math Skills

Geometry for Pre Kindergarten and Primary Grade kids concentrates on some essential subject skills like recognizing, naming plane figures and naming their properties. Plane shapes are two dimensional shapes that are on a flat plane. They include curved shapes like ovals and circles and many sided shapes like polygons.

Children with disabilities find learning and applying vocabulary hard. They should be trained to use their acquired skills without hassle.

geometry shapes

Sorting shapes

Sorting shapes is the beginning place. Instead of using geometric shapes to sort colors, you can name a sort. This will help children with limited knowledge understand shapes with ease. You can say: “We are having the shapes that have the same number of sides” or “Now, we sort curved shapes and shapes with straight sides” This would help them sort shapes better.

Naming shapes

When you name shapes, you should make it clear that all squares are rectangles but all rectangles are not squares. You should make children understand that squares are rectangles with equal sides. A square is a sub category but it is frequently seen as a polygon in life and worksheets. So, students should be able to name it.

In kindergarten and primary grades like 1 and 2, students should be able to name squares, rectangles and circles.

Defining plane figures

Students have to name three specific characteristics of each space

  • Rectangle: A Rectangle has four sides .It has four sides with opposite sides which are equal in length and parallel. A rectangle has four angles in their corners (vertices).
  • Square: A square is a rectangle with four equal sides. It means that the opposite sides in a square are parallel, opposite sides are equal and all vertices are right angles.
  • Triangle; A triangle has three straight sides and three vertices. Its all sides meet to form a closed figure.
  • Circle: A circle is a closed shape with a curved line. All points in the one line are of the same distance from the center point.
  • Oval: An oval is a closed shape created by one curved side. One of the axes of the oval is longer than the other.

Thus teaching geometric shapes is an art. You need to do it with great care and reach out to young kids with proper techniques. If you chat with live Geometry tutor, you can know more strategies about the topics in Geometry and ways to get them across to kids for their better understanding.

9 Secrets To Know About Speed And Mental Math Tricks And Techniques

Math is definitely challenging but what makes learning math fun and interesting is that, there are some tricks and techniques which can actually make the calculations easy to solve. Today, we will try to learn some math tricks which can be applied in solving different kinds of questions.

Speed And Mental Math Tricks

Multiplying a given number by 2

We all know the 2 times table. But what if 2 is being multiplied to a bigger number, there is a trick to make the multiplication quick and accurate. Think about it, multiplying by 2 it is nothing but doubling the given quantity. So to speed the calculations the given number can be added twice instead of multiplying by 2. For example 6 x 2 = 12.

This can also be got by 6 + 6 = 12. Now, if there is 32 x 2 = 64. This can also be got by 32 + 32 = 64.

Now applying this trick to bigger numbers multiplied by 2.

Find the value of 98340 x 2?

One method is the usual way of multiplying the given number by 2. But let us solve the same question with the trick of addition:

math 1

Hence 98340 x 2 = 1,96,680

Multiplying numbers which are multiples of 10

Did you know 10 is a very interesting number when it comes to multiplication? For example, in a question you come across a calculation such as 23 x 10 all you need to do is place a one zero next to 23. That is 23 x 10 = 230.

Can this be applied to bigger numbers as well? Yes it can! Let us look at some more examples:

While multiplying, 45 and 50 one method would be the regular multiplication. By applying the trick here all that needs to be done is 45 x 50, first find the value of 45 x 5 = 225. Since there is 50 which is a multiple of 10 place a zero next to 225.

So we get 45 x 50 = 2250. Another example would be, 25 x 30. Here first do 25 x 3 = 75. Now since there is 30 place a zero next to 75. This gives 25 x 30 = 750

Question: Sam brought 19 boxes of candies. Each box contains 200 candy bars, find the total number of candy bars in all the boxes.

Number of boxes of candies Sam brought is 19. Each box contains 200 candy bars.

Hence the total number of candy bars equal = 19 x 200.

Try to follow the diagram below for the calculation:

math 2

Multiplying a given number by 11

No matter what number is given to you multiplication with 11 can become quite simple, follow the trick here. Look at eleven, there are two 1’s. Now for example you have 14 x 11. First do 14 x 1 = 14 then to this add 140 which is 14 + 140 = 154?

So we get 14 x 11 = 154

Need a better idea? Follow the example below:

Find the value of 456 x 11?

Here first calculate 456 x 1 = 456 now add 4560 to it so you get 4560 + 456 = 5016

math 3

Adding three or more digit numbers

In some questions, you may have had situations where more than 2 numbers need to be added, it can get more tedious if they are big numbers. Let me share a little secret that can make adding such numbers much easier. For example there is a word problem: Riya spent $ 112 on shoes, $ 216 on bag and $315 on books. Find the total amount of money Riya spent on all the items. Solution: For the given question, the total amount of money spent equals the sum of all the given individual prices = $ 112 + $ 216 + $ 315. Follow the trick here, rather than adding the individual number. Add the hundreds place first. Follow the solution: math 4

Squaring number ending in 5

This rule is applicable from 5 to 95 only (i.e., 5, 15, 25, 35, 45, 55, 65, 75, 65, 75, 85, 95.) and here is how it works! We have 5 x 5 = 25.

The trick is, for a number ending in 5 when squared always has to end in 25. So for a given number example 152 pick the tens place, which is 1. Now the number after 1 is 2. Multiply 1 x 2 = 2. Now place a 25 next to 2. We get 225.

Now for 25 x 25. Here, 2 is in the tens place. What is the number next to 2, 3. So do 2 x 3 = 6. Now place a 25 next to 6. We get, 25 x 25 = 625.

Let us follow the diagram for clarity, take 65 x 65.

math 5

Hence 65 x 65 = 4225

Divisibility rule for number 2

Here is a quick mental math trick to find weather a given number is divisible by 2 or not just by looking at it. If a number is ending with an even number then it is divisible by 2.

What are all the even numbers between 0 and 9 (0, 2, 4, 6, and 8).

Look at an example: 48 here 8 is an even number so it is divisible by 2. Now 51 is not divisible by 2 as 1 is an odd number. Apply the same for big numbers.

Find out if 4576 is divisible by 2? Prove it!

Here 4576 is ending with number 6. Since 6 is an even number the given number is divisible by 2. Follow the diagram for a quick check:

math 6

Divisibility rule for number 4

Now that you are familiar with the divisibility rule for 2. Let us quickly check the divisibility rule for number 4. When it comes to 4 always check whether the last 2 numbers are divisible by 4. Consider 324 here it’s clearly know that 24 is divisible by 4 so 324 will be divisible by 4. Now let me give you another example:

Find out whether 5608 is divisible by 4? Check your answer.

Here again use the trick and figure it your mind. 08 are the last two numbers of the given number. Since 08 is divisible by 4, 5608 is divisible by 4. Let’s check if we got it right look at the diagram below:

math 7

Divisibility rule for number 5

Did your math calculations get faster on the divisibility part? Now let us follow the trick for checking divisibility with number 5. For number 5, the given number should end either with 0 or 5. Take an example of 560 it is divisible by 5 since its ending in 0. Whereas 432 is not divisible by 5 since its ending with 2 not 0 or 5. Look at the following question.

Find out if 890 is divisible by 5? Check your answer.

Here the given number 890 is ending in 0, so it is divisible by 5. Let us check the answer, follow the diagram below:

math 8

Combining the like terms

Many students find adding and subtracting like terms very confusing. Let us look at a simple way of solving this kind of a question. Did you know there is a trick with which you can solve the combining like terms in your mind? Here is what can be done:

Consider a question for finding 5x + 6x.

A like term is a term which have the same variable. Here it is x. Now for adding 5x and 6x since x is the same, just find 5 + 6 = 11. Hence 5x + 6x = 11x.

Did you follow the solution? Follow the next example:

Find the value of 3x + 7x + 10x?

All that needs to be done is add the numbers and place the common variable x next to the sum. Take a look at the diagram below:

math 9

Hence the solution is 20x.

Therefore, practice these tricks and apply them in your math calculations. You will be amazed how they will aid in speeding your calculations. If you still need help, chat with a Live Math Tutor Online Now!

Some Interesting Back To School Expectations Versus Reality

Expectations are always different from reality. Back to school is a time for jubilance and cheers with everything new for a student. You feel great to look in your new outfit for the first day with a trendy backpack and your favorite lunch bag. It is a basket of expectations you carry along with you when you enter the portals of your school or college. Reality is something else which disappoints you in various things. What are your expectations in back to school and what is reality?

Expectation 1

Trying to look trendy every day with smart outfits

You think your wardrobe is the best and you have bought everything marvelous on earth. You imagine that you would look gorgeous with your signature costumes and other accessories. Expectations Versus Reality

Reality

You are in for a disappointment on the very first day with angelic girls looking pretty in their smart wears and handsome guys moving around in their best outfits to attract the eyes of everyone around. Oops, you are not the only one who looks smart, sweet, new and fresh in a trendy dress. What to do for every day trendy look?

Expectation 2

Finding your old classmates and friends in the new school or college

You have been to a new place and your friends should be hanging out somewhere in the corridors or can teen. You could greet them, chat with them, share a bit of your summer experiences. You would not feel out of home and find at least some familiar persons. high-school-musical-vs-actual-main

Reality

Not a single one of your familiar acquaintance you could find. Not even Jennie who was your bitter enemy last year. Well, you are to move ahead with new friends. Would you get one as close as Jamaica of last year? Wait and see.

Expectation 3

Dismissal of the first day class in a very short time

You are asked to introduce yourself in the class. Others do. Then the teacher or professor dismisses the class and lets you go. You enjoy the rest of the time with friends or come back home fast and enjoy that sleep which you have missed a little after your transitional bed times. Or enjoy a movie or rock at a hotel.

first-day-of-class-expectations-vs-reality

Reality

Yes, you introduce yourself. Does that end with that? Professor goes on and on and you sit for a long time in the class. Long drawn face with sleepy eyes…uh?

Expectation 4

Thinking of bagging the best homework gift

You imagine with the best homework gift basket in the end of the term and everyone smiling at you and yourself beaming with cheers. Start your homework schedules with a planner from day 1? Yes, it is … it is your dream…..but are you doing? homework reality

Reality

You get boggled by a Math sum in the very first day and get stuck with a Science topic. Where was your dream and what is is the reality? Upward grades? Nay…down and down rather…. By the by…why not consult an online tutoring center for your homework hassles? They prove good for making your dream into reality -winning fabulous gifts for your top scores in homework in the class.

Expectation 5

Staying organized with an arranged back pack

Your back pack is well organized with school supplies, mobile apps, calculators and texts. Well, you are ready every morning with everything well set without morning anxieties. Is that true?

back pack

Reality

Your backpack is disarranged. Mom is sure to shout in the evening…What about your room? Is it spick and span? Aye… everything is in a mess. After all, first week’s anxiety is there for all in back to school. Don’t give up hope… try to get back to normalcy.

Expectation 6

Great partying with old and new friends

It is all great galore of joy with partying and enjoying. Late night hang outs can even be. Your friends and peers sharing best birthday bashes….

ever_merged_nid_294

Reality

Boring parties leading you to sleep awhile and dawdle. When are you going to get that dream party you imagine?


Yes, many more expectations can be there and you would miss most of them in reality when you are back to school. Why don’t you share some of them with us?

Do You Hate Math? 5 Ways To Instill A Love Of Math In Kids

We find many students hate Math from the bottom of their hearts and they do not know the reason for it. This leads to negative scores in Math and their lack of understanding the value of Math in life.

I hate you math

It is the greater parental duty to instill a love of Math in kids and there are ways for it. Here are they:

Be a Math myth buster: There are many myths about Math. It is a general feeling that Math doers are gifted brains with special abilities. Some feel that Math skills are inherited from parents. Some feel that boys do better Math than girls. The fact is anyone who perseveres and works hard in Math is able to achieve with it. Parents have to instill this positive feeling in their kids and make them realize that Math is within their reach, once they persevere. One more thing is that they should avoid all casual comments about Math like “I am not good at Math“ or “ I was very good at Math” or “What good Math does in your career?. All these comments impact the kid’s mind one way or the other and affects his studies.

Create positive vibes about Math learning: Do not give false pictures about Math. Don’t say Math is hard or it is easy. Make your kid understand that Math is an important aspect of his learning with real life situations. Ask him to calculate the grocery bill and help him choose a birthday gift which is really worth its money. Make him understand that Math is essential for his achievements in life.

Make Math an early learning: Expecting kids to learn Math by themselves is an error. It can turn negative also. Some kids like Math and most of them hate Math. This is due to the exposure in class or bullying peers or sheer negligence on the part of the kids. They should love Math, true, they should also take Math seriously. Expecting kids to add, subtract or multiply without mistake from their early age is not wise. Instead, small activities like counting the plants in the garden, calculating the time for your favorite TV show are those that kindle enthusiasm in kids to learn Math.

Play games: Anything learnt with fun is loved by kids and they do not realize the toughness of the matter. You can use the computer games, apps for playing Math games and make Math learning an inspiring one. Anything implanted in mind with enthusiasm has been getting imprinted in the mind forever and so is Math through games and fun activities. Children like to learn Math and start doing the subject without compulsion. Joining online Math tutoring centers will help you a lot in this aspect as the tutors help your kid with many interactive games and make a fun atmosphere in Math classes.

Teach them stress busters while will Math: Math exercise, lots of stress on kids and they wear out very soon. Ask them to take a deep breath or listen to music for some time. They can even go for a small walk or watch their favorite movie for a diversion. Taking meditation classes and even physical exercises are good in this matter. Encourage the kid to face Math with a challenging attitude and tackle Math sums with courage.

Conclusion

It is the right attitude to do Math that should be developed in kids through encouraging words and fun activities. You can approach online Math tutors for more tips and let your kid on the right path to successful Math.

Tips To Remember How Math Logarithmic Notation Works

Logarithms are really fun and interesting, but I have seen many students find changing logarithmic notation to exponential notation and vice versa quite confusing. Well here are some useful tips to make you remember that this conversion is simpler than you have expected.

The exponential form is where we have the base number multiplied according the exponent to get the answer. Here is an example from online math tutor:

When you multiply 2 four times you get 16. That is 2 x 2 x 2 x 2 = 16.

This can be written in the exponential form as 24 = 16. Let’s look deeper into this notation:

log1

Let’s now try to follow how we can convert the exponential notation to the logarithmic notation:

log2

As show above, both the exponential notation and the logarithmic notation have the same base number. Next, there is an exchange in the exponent and answer while writing it in the logarithmic notation.

This can be better understood with an example:

Convert 34 = 81 from an exponential notation to logarithmic notation.

Here 3 is the base number which will remain the same even in the logarithmic form.

We have 4 as the exponent and 81is the answer which can be written as:

log3

Did you get a little hold of this method? Good let me show you one more example:

Convert 52 = 25 from exponential form to logarithmic form.

Everyone likes the 5 times table, for some reason it’s quite easy to memorize.

Here observe 5 is the base number and 2 happens to be the exponent. Multiplying 5 x 5 gives 25 as the answer. Now converting the exponential form to logarithmic form:

4-1hp6teb

Taking a step further, let us now convert the logarithmic notation into exponential notation applying the same process backwards.

Convert log4 64 = 3 from logarithmic notation to exponential notation.

Here the given logarithmic notation can be changed to exponential notation by keeping the base number 4 the same. Follow the steps below:

log5

Hence the exponential notation for the given question is 43 = 64.

Good so far! Now, have you ever observed some logarithms written without a base?

For example, notations like log 5, log 16 or log 150. Are they really without any base number? The answer is NO! They have a base number which is 10 it’s called the common base.

Hence, logarithms with base number 10 are called common logarithms. This can be shown as below:

log6

Convert the given exponential form 103 = 1000 to logarithmic form?

Here we have the base number for the exponential form as 10, so the final answer will be a common logarithm. Hence we can write the given question into a logarithmic notation as follows:

log7

So the final answer is log (1000) = 3. [Not to forget it still has a base 10.]

Now you are familiar with the logarithmic notation and ready to change exponential notation into logarithmic notation. But remember logarithms does not stop here, these are just few useful tips to get you started with the logarithmic notation.

Read more – Solving Logarithmic Equations

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How to Solve Algebra Word Problems in 5 Steps

For solving Algebra word problems you need to use your logic and find out answers for the problem. Here are 5 steps that help you solve Algebra problems with ease

  1. Identify the problem
  2. Identify what you know
  3. Make a plan
  4. Carry out the plan
  5. Verify whether your answer makes sense

Step 1

Identify the problem

The steps for identifying the problem are

  • Express the problem question or statement.
  • Identify the unit of the final answer.
  • Express the problem question or statement.

You find Algebra word problems in the form of a question or statement.

Examples:

Question How many saplings Brown needs to plant? How many televisions Brenda needs to sell to earn $20000?

Statement Find the number of saplings Brown has to plant. Solve for the number of televisions Brenda has to sell to earn $20000.

  • Identify the final unit of the answer

After understanding the purpose of the word problem, try to find out in what unit the answer will be like miles, ounces, pesos, number of trees or number of televisions.

Example for step1

Christiana is making brownies to serve at the family picnic. If the recipe calls for 21/2 cups of cocoa to serve 4 people, how many cups will she need for 60 people who attend the picnic?

  • Identify the problem: how many cups Christiana needs if 60 people attend the picnic?
  • Identify the final unit of answer: Cups

 Step 2

Identify what you know

I need more information What information you have is not adequate and you need more information.

Example for step 2 

Sarah is carpeting a rectangular room in her house. The length of the room is(x+2) feet and the breadth of the room is (x-6) feet and the area of the room is 84 square feet. Find the length and width of the room. Identify what you know

  • Sarah is carpeting a rectangular room
  • The length of the room is x+2
  • The breadth of the room is x-6
  • The area of the room is 84 square feet.
  • The formula for the area of a rectangle is A=lw
  • I need to find x to find the length and breadth of the room.

Step 3

Make a plan

Methods of building your plan

  • Write down your plan
  • Talk about your plan
  • Make a table
  • Draw a bar graph, line or circle
  • Draw any other type of graph
  • Draw a picture

Example for step 3

The Damsels Theater expects 275 patrons every weekend per new movie. How many new movies they will show if they expect 2200 patrons this week end?

  • For every new movie, 275 patrons come to Damsels Theater
  • 1 movie     =275 patrons
  • 2movies =275*2=550 patrons
  • 3 movies=275*3=825 patrons
  • 275*number of movies=2200 or 275*m=2200(m represents the number of movies)
  • Solve for m to find the answer

Step 4

Carry out the plan

Verify whether the plan is sensible. Check whether you have not missed anything or did not approach the problem in the wrong manner.

Example for step 4

Ben and Jack run a combined distance of 28 miles. Ben runs three times as many miles as Jack. How many miles does Jack run?

The plan

  • B+J=28 where B represents the number of miles run by Ben and J represents the miles run by Jack.
  • B=3*J because Ben runs three times as many miles as Jack.
  • Replace B with 3*J in the equation B+J=28

Carry out the plan

  • 3*J+J=28
  • 4*J=28
  • Solve for J: J=7

Step 5

Verify whether your answer makes sense

In the last step you have two red flags that signal wrong answers

  • Your answer is too big or too small
  • The question remains unanswered

Example for step 5

John is driving from his house to his company. On Monday morning John drives 6 miles north on Peter’s road. Then he drives 8 miles east on Willie’s Road to reach his company. On Tuesday morning, John avoids Peter’s and Willie’s Roads. What is the difference between the number of miles John drives on Monday and Tuesday mornings?

John’s drive to his company resembles a right triangle. You can use Pythagorean Theorem.geometry10 miles is the answer

Verify whether your answer makes sense

No. The answer is the direct distance between John’s company and house. It is not the answer for the question what is the difference between the number of miles John drives on Monday and Tues day mornings?

Make a new plan

  • Find the direct distance
  • Add 6 miles and 8 miles to find the total distance traveled on Peter’s and Willie’s Roads
  • Find the difference between the numbers in steps 1 and 2
  • Distance between the company and house is 10 miles
  • Distance traveled on Peter’s and Willie’s Roads is 6+8=14miles
  • Difference between the numbers 14-10= 4 miles

The answer is correct as per arithmetic and it makes sense.

Doing Algebra word problems through step by step approach is logical easy and fun.

Discount

Math Help Websites- Pick up the One in the Upfront for Your Marvelous Performances!

Math help websitesMath, Math, Math… everywhere, but no Math for your easy understanding!  What to do to make Math your special niche with those covetable scores?

Math help websites- pick up the best

When everything has turned complex, your Math doing has turned more complex with intruding details upon your mind. You have remedies for your malfunctioning in the subject with Math help websites extending their warm support to undo your Math struggles. Thing is you have to pick and choose the best for excellent solutions on time  and gain fine snatches of Math insights. Tutor Pace comes up as a pioneer in the field with its excellent tutors, solvers and helpers to promote your Math learning in a positive mode.

Algebra solvers and Trigonometry help from Tutor Pace help you on time to find answers for any of your queries with exact outputs with their easy to use features. The tutors with their experience and adept handling of the subject matter are experts in clarifying any subtle detail that has hidden itself from your eyes.

Tutor Pace is one of those fantastic Math help websites to provide suitable help on time for you to overwhelm all your Math challenges.

Homework Help in Math-Ticks Your Right Answers to Fetch Better Grades!

Homework Help in Math

 

 

 

 

 

Last minute rushes in Math homework? Tutor Pace helps you on time with the next step to your Math sum and completes the sum for you.

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Online Math Tutor Help- right solutions for difficult questions

Let it be a Geometry diagram or an Algebraic expression or a problem in Integration, Tutor Pace’s Online Math Tutor Help is blessing for you with its unique clarifications for your specific doubts with their online tools like interactive board and live chat facilities.

Math Homework Help- help for better Math scores

Math Homework Help from Tutor Pace is necessary for verification of your homework answers or sample exercises to enable your understanding of the topics without loophole and do the homework tasks with clear understanding.

Tutor Pace provides ample Homework Help in Math to enhance your Math scores.

Online Math Tutor Help-Kick Start Your Math Doing with Online Math Tutor Help!

Online Math Tutor HelpFretting over your Math problems?  Do Squares and square Roots drive you to the world’s end? Do you have sleepless nights before your Math exam?  Get online with Tutor Pace and drive away your Math troubles with the aid of their advanced tech tools.

 Online Math tutor help-take a free trial with us

Take a free trial with Tutor Pace to know what it offers to you through its Online Math Tutor Help. Explanations for basic and advanced concepts in Standard Form and Laws of Exponents are available from our tutors with their step by step explanations for easy Math doing. They help you with their interactive white board to clarify all your doubts in Scientific Notation and other related areas of Math and point out your learning gaps with measures to rectify them.

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Math Help Online is effectively available with Tutor Pace in all branches of Math study like Algebra, Geometry, Calculus or Probability. They help you with difficult problems in l Square Roots and complex numbers in Algebra.

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Online Math Tutors: Solve All Your Math Doubts With Online Math Tutors

Math tutors online, online math tutors, online college math tutorWith the studies pressure increasing day by day, math is considered as the biggest hurdle in keeping you away from high scores! Students keep on working for hours long to achieve high grades and now many are turning up for the online math tutor as the tutor offers them a wide view of the subject matter, sitting at one place. No matter what grade you are or what topics you encounter in the subject, online masters are experienced people holding rich knowledge of the subject. Topics like squares and squares roots, the nth roots are often found confusing by the students which the online tutors take special care of and remove the doubts.

Making a strong base of the initial concepts of math, simplifies tough problems related to algebra and the complicated squares and square roots in algebra. The math tutor online gives an amazing audio-video interaction between the master and the student. The best part of an online master is that the benefits can be availed at any point of the hour. All you need to do is to get registered with the online masters and start your studies on a daily basis with him.

With higher classes math also tends to get tougher at every level. The online college math tutor plays a pivotal role in making math easier for the students. Various topics like scientific notation, Index notation, laws of exponents confuse the students and hinder the performance. But with the amazing interactive way of teaching, an online master makes such topics interesting and solves every doubt which gets triggered during your practice sessions. So don’t wait! Roll out with the best masters and develop the understanding for math. Let the masters take care of your scores! Online math tutors will help you raise your scores.