This book was created by 6th grade students in the Advanced Math Program at Latin American School of Monterrey, Mexico.   It contains Chapters 5 - 8 of the curriculum.

This is What We Have Learned 2

Books created by Elementary students (2nd to 6th graders) in the Advanced Math Program at Latin American School in Monterrey, Mexico.

BOOKS BY AMP STUDENTS

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Circumference, Perimeter and Area of Circles

To get the circumference of a circle you will use this formula : Pi x diameter

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6-3 Percents greater than 100 and less than 1

When you express a percent greater than 100% as a decimal, the resulting decimal is greater than 1. When you express a percent less than 1% as a decimal, the resulting decimal is less than 0.01.

7 to convert it to percent will be 700% 0.25 to convert to percent will be 25%

78% to convert it to decimal it will be 0.78 14% to convert it to decimal it will be 0.14

When you solve a proportion you need to find the missing term. There are two ways of doing it. The first one is by doing cross products. The second one is by multiplying the term that is in front of the missing term and the term that is below or on top of the missing term, and then divide by the term you didn’t multiply.

What is a ratio? A ratio is used to compare quantities or amounts of certain object or things. It can be divided by color, shape, weight, or hight. 

Question-Ten years ago in Louisiana, schools averaged 182 pupils for every 10 teachers.

Answer-182/10 ; 182:10 ; 182 to 10

Having similar figures means having two figures that are the same with the only detail that their sides have different measures, but for these figures being similar their side need to be equivalent, like a proportion.

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To add lines as the instructions says you.

here is an example of how to do a bisector exact in the middle of an angle with a compass

Arc: Part of a circle connecting two points of the circle.

Central angle: Angle whose vertex is the center.

Semicircle: Arc that connects the endpoints of a diameter.

Chord: Line segment that connects two points on the circle.

Radius: Line segment that connects the center to a point on the circle.

Diameter: Line segment through the center of the circle that connects two points on the circle.

Sector: Region between two radii (plural of radius) and an arc.

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Adjacent angles are a pair of angles with a common vertex and a common side, but no common interior points.

Congruent angles they have the same measurements, inside the angles are arcs which help show congruent angles

Intersecting line A pair of angles formed by intersecting lines

Applying your knowledge in percents can be using sale price and discount, simple interest, straight commission, sales tax and percent change.

For example, let’s say you bought a shirt for $38.50 and it has a 25% discount, how much will it cost now? Well, first find 25% of 38.50 so, 9.625 now we will subtract that from the original price of the shirt, in conclusion you will now buy the shirt for a price of $28.875

Let’s say you went to a restaurant and paid $214.75 for your food, you want to give the waiter a 15% tip, How much will that cost you? Well, first start by finding 15% of 214.75, that gives you a total of 32.2125, now you will add this number to your total bill. You ended up paying the waiter 246.9625

For this you only need to do a ratio of the information you have and divide the two numbers you have in the ratio, and with the number you got is the number per unit.

Quadrilaterals are four-sided figures.

A polygon is&nbsp;a two-dimensional shape with straight sides that are fully closed. They’re sides should be straight, they can NEVER be curved. 

A point is a position in a plane or in space that has no dimensions.

A line is a set of points in a straight path that extends infinitely in both directions.

A line segment is a finite portion of a line that has two endpoints.

A ray is a portion of a line that extends from one endpoint infinitely in one direction. The endpoint of a ray is written first, and any point on the ray may be used next.

Intersecting lines are lines that cross each other at exactly one point, called the point of intersection.

You multiply the base times height and there’s the answer.

A percent is a special kind of ratio in which the first term is compared to 100. The percent is the number of hundredths that represent the part of a whole.

A percent represents a part of a whole, just like a fraction and a decimal.

For example, in the figure below 81/100 are shaded which in percent translates to 81%

The circle graphs represents the percentage in circles.

In this example I estimate that there is a 50% a 35% and a 15% 

When you see map usually there is a scale that tells you how many distance in the map is equal to a certain distance in a city, country, or continent. This can be shown like: 5in: 10 miles. To solve them is the same way as to solving proportions. Example:

To get the perimeter of any figure you have to add the sides

To get the Area of most figures you have to multiply L x W

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We’ll have 48 and 48. If the numbers match, it’ll be a proportion

And if they don’t, it isn’t a proportion.

A proportion&nbsp;is&nbsp;an equation in which two ratios are set equal to each other.&nbsp;

Estimating Perimeter and Area Area of a Parallelogram Perimeter and Area of a Triangle Areas of Other Figures Circumference and Area of Circles. Square Roots and Irrational Numbers Pythagorean Theorem Three-Dimensional Shapes Surface Area of Prisms and Cylinders Volumes of Prisms and Cylinders

Congruent figures are figures that have the same sides and angles. To check if the figures are congruent they have to fit exactly one on top of another

Triangles can be classified by various properties relating to their angles and sides.

6-5 Solving Percent Problems Using Equations

When you want to get the percent of something you need to multiply by the percent given but with the decimal point 2 places to the right. But, when you want to get the percent of something using equations you have to do it by converting into fractions like the percent will have as a denominator 100 and the numerator will be the percent. Next you will need to do the same but with the total amount of what you have (apples, fruits, cars, etc.) and the portion given on top. This will form a proportion. Now that you have the proportion formed you may notice one value is missing like the percent, the total amount of something, or the portion you have of something. Now you can solve by using a method that looks like a rectangle which will consist in multiplying by 2 values and dividing by another value and this will give the missing value.

Perimeter: you add all the sides to get the perimeter.

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To find the percent of a number you can use 2 different methods. One of them is quite simple, it basically consists of multiplying the number by the percent but the percent's decimal point will be 2 places to the right. ( If the percent is 10 we will multiply by 0.10). The other method consists of using proportions. Here we will make a proportion using the percent we have been given with a denominator of 100 and the other will be the total amount of that object and the numerator would be the number we will be getting so its represented by a variable.

0.37 x 89 ________ 32.93

You will get 32.93 by multiplying 89 times 0.37

6-2 Percents, fractions, and decimals

Each fraction has an equivalent decimal and percent, in this chart you can see some examples to help you.

To convert a decimal into a percent you need to move the decimal point 2 spaces to the right. 

There are two types of decimals, repeating decimals and terminating decimals. Sometimes you will get repeating decimals, to identify them, you just need to look for three points or a line on top of the decimal that’s repeating. It can also happen with percents.

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6-1 Understanding percent 6-2 Fractions,decimals and percents 6-3 Percents Greater Than 100 and Less Than 1 6-4 Finding a Percent of a Number 6-5 Solving Percent Problems Using Equations 6-6 Applications of Percent

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