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

To count methods you can use some diagrams an example is a tree diagram

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In this lesson we are going to learn how to the volume and surface area of centimeter cubes.

To get the volume of a cube you need to count the number of little cubes the cube has. Don’t forget that the answer is always cubed or to the third power. Example:

To get the surface area of centimeter cube you need to count the sides or faces of the centimeter cube has. Don’t forget that the answer is always squared or to the second power. Example:

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Measuring time is easy. You only need to find the elapsed time from time A to time B. Use Addition, subtraction, multiplication or division if necessary.

Start: 1:30 P.M End: 2:15 P.M Elapsed time: 45 minutes

Start: 12:04 am End: 1:37 pm Elapsed time: 13h 33 min

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In this lesson we see how many probability there is by grabbing one or more things out of something. For example if you have a set of number which is: 2, 3, 4, 6, 9 and 14 there are 4 even numbers and 2 odd numbers so the probability of me grabbing a random number of that set and getting an odd number is 1/3.

We hope you learned something about Probability!

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To compare graphs you just compare how they show the data, (percents or numbers), and decide which one you want to use for each specific thing or question you want to answer.

You can make many types of graphs if for example you want to do a bar graph you have to put some bars and at the bottom and sides some labels like how many people like strawberries, bananas, watermelons, etc. Then you put the numbers and the graph will have to be as tall as the number is.

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In this lesson, you will learn how to convert units into others.

Examples:

2.7 m = ? cm 2.7 m 2.7 m = 270 cm

A permutation is an arrangement of items on particular order. A combination is a grouping of objects in which the order of the objects doesn’t matter.

Theoretical and Experimental Probability 

In this lesson we learn the probability of a specific thing to get in a amount of 2 or more things, for example tossing a coin has 1/2 of getting tails and 1/2 of getting head.

Another example: If you rill a dice you have 1/2 probabilities of getting an even number. And you have 1/6 of chances of getting a 3.

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When you have to get the perimeter of the rectangle what you do is: 2 times (length plus width)

To get the perimeter of a square all you need to do is multiply 1 side times 4

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In this lesson you will learn about pentominoes there are 12 pentominoes 

In this lesson you have to put 2 or more pentominoes together to make a shape or fill in a shape with pentominoes.

Here is an example the pentominoes used are l,y

Pentominoes are made up from 5 identical squares

In this lesson you will learn to get the volume of rectangular prisms.

To find the volume of a rectangular prism you need to multiply LxWxH also don’t forget that answer has to be cubed or to the third power.

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Every kilo, pound, etc equals the same to another quantity , but in another measurement 

If 1 ft = 12 in Then 4 ft = ? Lets multiply! 4*12=48 4 ft = 48 in!

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The possible number of passengers are 62, 81, 82, 83, 102.

That is because the mean of the data set is 82 and the maximum is 102.

Because the perimeter of those two numbers is 58 in, (20+9=29*2), and the area is 180 in, (20*9).

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This topic is about: perimeter, area, circumference.

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A Stem and Leaf Plot is a graph that breaks apart the digits in the data set. The Tens go below the Stem side and the Ones go below the Leaf side

Which  measure best describes this data set: 11, 13, 15, 17, 18, 19, 19.

The mean is 16 the median is 17 and the mode is 19. So it is the median because there are no outliers in the data set.

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By Eduardo Bernal, Ivanna Jamesson , and Andrea Moreno

To get circumference you need to do this first get the diameter or multiply the radius by 2, then you also have to know what pi means which it’s value is 3.14 after that you have to multiply 3.14 times diameter and that’s how you get circumference.

You would have to multiply 3.14 times 20 

To find the surface area of a rectangular prism you need to multiply the product of the LxW by 2, the product of the WxH by 2, and the product of the LxH by 2. Now add all those products and you’ll get the surface area. Example:

In this topic we are going to learn about Surface Area.

To find the surface area of a triangular prism you need to first draw the net and then multiply the LxW by 3 and add it to the BxH divided by 2 times 2. Example:

To find the surface area of a cylinder you need to draw its net and multiply the pi by the radius squared and multiply that by 2, then add that to the LxW. You can get the length multiplying pi times the diameter. Remember that the answer is always with an about sign. Example:

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You can round to simplify a measurement or make it easier to understand.

100 cm = ______ in Cross Products! 100 cm * 0.4 in 100 cm = 40 in

24.8 kg = ________ Ib Cross Products! 24.8 kg * 2.2 Ib 24.8 kg = 2.2 Ib

Topic 17 Lesson 3: Area of Parallelograms and Triangles

The way to get the area of a parallelogram is a very similar way to the rectangle but instead of length and width you use base and height

The way to get the area of a triangle  is a little more tricky, you need to multiply the base and height then divide by 2

20in times 5in equals 100in, so the area of the parallelogram is 100in

4in times 25in equals 100in then divide by 2 and you get 50in, so the area of the triangle is 50in

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Topic 17 lesson 2: Area of rectangles and irregular figures 

The area of rectangles is not a very hard thing to get and has short process what you do is just multiply the length times the width.

The area of irregular figures is a bit trickier tho as almost all the times you have to get its area you have to divide it in too and get the area of those 2 shapes then add the results.

The process is the same as the one in rectangles

Here you can divide it to make it into 2 shapes 

This example would mean that we multiply the length times the width being 10 times 5

To get the area of a circle is hard your gonna need to multiply 3.14 and the radius being multiplied times the radius

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Mean: It is the sum of data divided by the number of data items Median: It is the number that is in the middle when the data is organized from least to greatest, if there are two numbers in the middle you get the average (mean) Mode: It is the number that repeats the most Range: It is the difference between the greatest and the least number

A histogram uses bars to display numerical data that has been organized into equal intervals.

Data numbers: 0.6, 0.9, 0.5, 0.3, 0.6, 0.4

Mean: 0.6+0.9+0.5+0.3+0.6+0.4= 3.3/6= 0.55

Frequency tables tell the frequency someone does something

Median: 0.3, 0.4, 0.5, 0.6, 0.6, 0.9= 0.5+0.6= 1.1/2= 0.55

<a href="bookcreator://page/TBQ7d67-Sga53SCrzTsf3A">Topic 16</a>

<a href="bookcreator://page/OlCx29JlSfGyh85AX8QfTg">Topic 17</a>

<a href="bookcreator://page/nBaNxyAfRDy0wx1OZ5JolQ">Topic 18</a>

<a href="bookcreator://page/tedv5ACRSoeq7T8PoUYxHQ">Topic 19</a>

<a href="bookcreator://page/zMvTN6yAQ7WjhhngqMh-1Q">Topic 20</a>

Volume of triangular prisms and cylinders.

In this lesson we will learn to get the volume of triangular prisms and cylinders.

To get the volume of a triangular prism you need multiply the BxH divided by 2 x H. Example:

To get the volume of a cylinder you need to multiply the height times pi squared. Example:

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You can also estimate to have a weigh, mass, or volume of an object

Is a laptop better to be measured in inches or in yards?

Is a swimming pool better to be measured in fluid ounces or gallons?

Is a desk stapler better to be measured in kilograms or grams?

Is a bar of soap better to be measured in pounds or ounces?

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A circle graph is a graph in shape of a circle that tells for example the percent of the money wasted in a year.

In this graph you can see the favorite types of graphs people chose. To read the graph you just decide what type of graph you want to know how many people chose it. So you follow the bar until it tops and you see that number at the left.

To make a graph you just need to draw the y and x axis. Then on the bottom you put the choices. At the left the numbers. And at the top the title.

A family spent more money on the house that on any other expense.

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People’s options in surveys and samples change depending on HOW you ask the question.

Samples and surveys are thing people ask to other people like the owner of Soriana can be asking in the streets which people like Soriana.

If you ask “Is it safe to increase speed limits on highways?” or “Is it a good idea to have speed limits on highways?”, people are more likely to say no because the questions include safe and good idea. Those words may change people’s opinions because they think it is not safe/good idea

But if you ask, “Are you in favor of increasing speed limits on highways?”, people have the chance to say more freely yes or no because the question does not make them ask themselves if it is safe/good idea 

So remember, depending on how you ask the questions, people’s opinions may change.

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Probability has outcomes. An event is the collection of possible outcomes.

The vertices of this figure will be H,I,M,J,K,L

So we can learn more about the solid figures we can learn their nets.

Problem Solving: Make an Organized List

In this lesson we make a list or a table for us to get all of the combinations possible from whichever thing, but there might be a limit or a rule like “the sum of a combination needs to be exactly 20” or “this 2 letters cannot be together while making the combination”, etc.

Example (The sum of the combinations of this table needs to be exactly 18):

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Using reasoning to answer questions and more!

How many units are in each size of jumps?

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