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# Math problem, What Math Problem?

Sometimes we feel sorry for our kids, especially those that never had a chance to have a tutor. We have technology and we have a will. We can be read in Bangladesh, and we can be seen in Santa Fe, Argentina.

This monster called math can be insidious and a pain in the neck. We have said it before, Math is a subject similar to learning another language. Syntax and Semantics are laid down from the start and maybe that's when our first graders start thinking the worse from math.

Here are some examples with graphics, and how we can solve them.

## Area of Compound Figures

The graphic at the right shows a compound shape. The problem is given just as shown on **Graph 1. **

There are different ways to approach a problem... like in life itself. On **Graph 2, **we have broken down the compound shape to **two** well known rectangular shapes. Like in a business of our own, we find the width and length of the sides of those rectangles.

A= A1 + A2

A=b.h Area= base x height

A1=22x12 A2=7X8

After simplification we can gather enough information from the graphs:

**A**= 22X12 +7X8 Where **A** is the total area

A=320 m

The area of that compound shape is 320 meters. We could've taken a different approach, but for now, this was the easiest one.

## Similar Fgures and Proportions (ratios)

On this **Graph 3, **your teacher wants you to find the value of '**m.**'

Weighing the geometrical implications and the numbers that you were already given, you can solve this 'teaser' by using** ratios or ****proportions**.

If you have 2/3= 6/9=24/36

Then, your ratios are keeping the equation at bay.

In the case shown in **Graph 3 **

**5/4=10/m**

**m=8**

** So, using proportions we found the value of IJ, REPRESENTED BY:**

** 'm= 8'**

## Finding missing angles in Quadrilaterals

Sounds like the biggest monster of all, right? We can make it easier by going to a regular kind of chat:

Suppose that they give you this humongous 'Pizza pie' shaped like in **Graph 4. **

If you are able to break them down in triangles shapes like in **Graph 5, **you will be given 180 bucks for each triangle that you can get out of **Graph 4.**

So, a trapezoid or Quadrilateral shaped as in **Graph4, is composed of four angles on those four corners.**

**Let's call the missing angle : x**

**adding those four angles should make 180+180=360 degrees.**

**X + 116 + 113 + 34 = 360 degrees**

**Solving this simple equation will give us the missing angle:**

**X =360-34-113-116**

**X=360-263**

**X=97, THE MISSING ANGLE VALUE IS 97 DEGREES.**

## EXAMPLE

GIVEN

Arc AB=60° Arc CD=100°

*angle 1 = .5((100 - 60))*

* angle 1 = 20^{o}*

## Theorem of secants to a Circle

Not that you want to be a rocket scientist, but your smart ass teacher will come back to hunt you with this Theorem by 8th Grade. **So take heed!**

On **Graph 6, we have ANGLE 1 formed by two secants that intersect on P, and happen to lay their telescopic 'legs' on C , D, A and B.**

**Given ARC AB and ARC CD **

*The theorem states that the measure of Angle1 is :*

*angle 1 = 0.5((arc CD) - (arc AB))* ** **

## More segments in circles and Power of a point- Video credit to Dangarbo10

## Comments

Ouch! my head hurts after all those maths problems.lol

Well done Lord for tackling these tricky ideas. I am sure they will help.

You remind me of my favorite math teacher in School!

Effortlessly explained and made simple!

I still can't believe my daughter is a high school math teacher and I'm in the dark ;) I'm sure this hub will help many. Students aren't aware of breaking their math problems into smaller bits to find the answer. Voted up and useful.

Lord, I am in college now, going online. I had to take college algebra, never having taken it in school. I had business math instead. I had a five week course and passed it. I studied 10-12 hours a day to pass it and it was not easy. I think my daughter will have it a little easier.

Well, I think this is so interesting, having taught Maths for ages! First, teachers should never scare kids with the story that Maths are difficult, because they are not! And second, I use Dummies books for Blogging, Twitter and similar subjects, because as an oldie I am not too smart with all this internet stuff, but I would never have thought of a Maths one! Every day brings something new to learn! Congratulations to Lord de Cross and to Becky, way to go! Voted Up, etc.

My daughter is home-schooled. When we took her out of public school in the 5th grade, we got the Math for Dummies book for her. She could still not do long division. That is the best book for a smart kid that just didn't get math. She was mad at her teachers for making it so hard. We kept telling her and trying to show her but she just kept saying that they wanted her to do it differently. She now request the books for Dummies for her math books and she is in High school now. She says they explain it so much better and easier than all of the other math books. She at least likes math now, instead of actively hating it. Best money I ever spent on school books. She wants to try the English books now. She is fairly good but she says she can be excellent. I am all for that.

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