This book was created by 3rd grade students in the Advanced Math Program at Latin American School, in Monterrey, México.

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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Comparing and ordering decimals

First, begin at the left. Find the first place where the numbers are different.

Hint … numbers are the same in the tenths place, so look to the next place.

For example 0.07 is less than 0.09, so 0.87 is less then 0.89

Order the numbers from least to greatest. 1.36, 1.3, 1.63

Order the numbers from greatest to least. 2.4, 0.04, 3.87, 4.4

if you tell me that 0.3 is less than 0.30 you’re incorrect. This is because when the digits have 0.03 it means that it just 3 because it doesn’t have any numbers that make it 30 or 36 etc. but 0.3 is the same as 0.30 because the zero is an imaginary zero. And like this is with the others.

8.0 because it shows eight ones and 0.8 shows a decimal which is less than 1.

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You can use addition to find the perimeter of a figure.

Sometimes you can use a formula to find the perimeter

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11m

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Made by: Leonardo Martínez &amp; Martin Padilla

To show how you can share items, you can divide to find a fraction of the total

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Topic 9-7: Problem solving: make and test Generalizations

When you make a generalization,you make a broad statement about something that a group has in common.A generalization helps you find patterns.When you make a generalization,it is important to test it to be sure it is correct.

In some cases it is possible to find more than one correct generalization.

Example: Jessica found a red pencil 3 red pens and 2 red markers in her backpack.

Generalization #1:The things Jessica found are all writing instruments.

Generalization #2: the things Jessica found are all red

Test:I can write with a pencil,a pen,and a marker.Also,the pencil,the pens,and the markers are all red.My generalizations are correct.

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The most commons fractions are:

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Modeling Addition and Subtraction of Decimals

When you are adding decimals using a hundredths grid it makes it easier to get the sum, because you can count the tens and ones in the grid that are shaded to find the sum. When you are subtracting you can cross out what you want to subtract and count the tens and ones . When you already counted how many squares you have left then that’s gonna be your difference.

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To estimate the area of an irregular shape, you can add squares on a grid , or you can subtract squares from a larger area.

Count the number of whole squares. There are 12 whole squares.

Then count the incomplete squares. There are 4 incomplete squares.

Estimate how many whole squares the incomplete ones make. They equal about 2 whole squares.

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Fractions and Decimals on the Number Line

How do you locate fractions and decimals on a number line? Show 1/8 on the number line

Use the number line to name the fraction or decimal that should be written at each point.

Star Wars Jedi Starfighter (Obi Wan Kenobi)

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When you are rounding decimals there is a basic rule you need to know , there are no exceptions: When a digit of the number you’re rounding is smaller than 5 it always rounds down . For example let’s say we are rounding 5.89 to the nearest tenth. First we look at the tenth’s place then we need to look at the digit at the right in this case the digit is 9 . The digit is greater than 5, so we round up . So, 5.89 rounds to 5.9

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Use division to write a fraction that is equivalent to 6/24 think of a number that is a factor of 6 and 24. 3 is a factor of 6 and 24. Divide the numerator and the denominator by 3. If you continue to divide until 1 is the only factor of both the numerator and the denominator, you will find the fraction in simplest form.

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The area of a triangle is found by the formula:

Remember that in order to use the formula all the lengths and the heights must be in the same units. The height and the distance from the base is the opposite vertex.

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THANK YOU FOR READING OUR BOOK KEEEP LEARNING AND SEE YOU NEXT TIME!

BOOK WRITTEN AND ILLUSTRADED BY: MELISA SIFUENTES ACOSTA AND JESUS ALEJANDRO

The numbers alternate with letters of the alphabet, in order. The pattern would continue like this:

Sometimes there are not enough hundreds to divide by. Sometimes you have to break up the hundreds into 10 tens.

A composite number is a whole number greater than 1 that has more than two different factors. 15 has four different factors, 1, 3, 5, and 15, so 15 is a composite number.

A prime number is a whole number greater than 1 that has exactly two factors, itself and 1. 17 has exactly two factors, 1 and 17, so 17 is a prime number.

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Make three rectangles with an area of 36 square feet that have a different perimeter. Use grid paper or color tiles to help you.

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Area is the number of square units used to cover a certain amount of space or shape.

To have the area in a 2D shape , multiply the length times the width.

It is also possible to estimate the area.

There are about 18 squares in the figure.

The area of the figure is about 18 square units.

Thank you for reading this book we hope you learned about rectangles, triangles, how to measure angles, lines, rays, line segments, planes, polygons, and generalizations.

You Got This School Sticker by Texas Instruments Education

Manta Ray Thank You Sticker by Aminal Stickers

Decimal Place Value

A grid can be used to show tenths and hundredths!

Topic 9-1:Points lines and, planes

A point is an exact location in space.This is point X.

A straight path of points that goes on and on in both directions. This is line AB.

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Problem solving: Writting to explain

Here you need to do problem solving and explain what you did.

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Estimating sums and differences of decimals 

To estimate, you change numbers to ones that are easier to add and subtract. For example 4.34 + 5.78. First we need to round 4.34 to the nearest whole number which is 4 then do the same with 5.78 which is 6 . So 4.34 is about 10.

#24 Dizzying space travel - "Inktober2019"

When multiplying two numbers, you need to know that both have factors

EXAMPLES:Factors Product 1 24 24 2 12 24 3 8 24 4 6 24 Factors of 24:  1, 2, 3, 4, 6, 8, 12, and 24

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By Julian Mckinnis and Sergio Loópez de Luna Illustrated Julian Mckinnis and Sergio Loópez de Luna

By Julian Mckinnis and Sergio López

Leanne wanted to compare 4/6 and 3/6. She used fraction strips to help.

She compared the amount that were shaded in each picture. Because the amount shaded in 3/4 is more than the amount shaded in 4/6, she knew that 3/4 is greater than 4/6.

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Step 1 line up decimal points .write zeros as placeholders.

Step 2 add hundredths regroup if necessary

Step 3 add tenths regroup if necessary

Step 4 add ones place decimal point

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An improper fraction is that the numerator is greater than the denominator

A mixed number is a fraction that the numerator is greater than the denominator and it can be divided

Problem Solving: Multiple-Step Problems

For doing this lesson you should do some additions, subtractions etc… &#160;With those procces your are going to get the final answer.

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You can find 3-digit quotients by breaking apart the problem.

Topics 9-5:triangles

Subtracting fractions with unlike denominator 

When you subtract fractions with unlike denominators, you need to change them to equivalent fractions that have a common denominator

Instructions:Write the answers in simplest form.

Topic 9!

(Includes:points,lines,planes,measuring angles,polygons,triangles,quadrilaterals,make and test generalizations

By:Angela Herrera Chavarría and Hernan Reyes

Topic 9-4:Polygons

polygons are closed plane figures that are made up of line segments.All of the line segments connect.All of the sides of a polygon are straight,not curved.

Polygon: Closed figure made of line segments.

Here are some common polygons.Not all the sides of polygons have to be the same length.

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multiply 4 by $1.25 to find out how much it will cost. 

Nelly has $6.00 notebooks cost $1.25 each. She wants to buy four of them. Does she has enough money to buy them?

Multiply the same way you would do with whole numbers.

2 decimal places 0 decimal places 2 decimal places

Find the number decimal places in the product by combining the number, decimal places in the factors .

4 notebooks cost $5.00,so Nelly will have enough money to buy them .

You can also check your answers.round the decimal to nearest whole number and multiply that by the other number.that way you can make sure you put the decimals in the right place.

Use the above example. Round $1.25 to the nearest whole number to get $1 $1 × 4 = $4 . If you wrote the answer as 500, you could not be right.the answer need be be close to 4 . The correct answer , $5, os very close to $4.

The higher the the denominator is the least it will be, but if there is the              is the least number

Adding fractions with unlike denominator 

When you add fractions with unlike denominators, you need to change the fractions to equivalent fractions so they have a common denominator.

Directions: Write the answers in simplest form.

You need to draw a picture and write an equation.

Jamie has       cup of sugar, he also has      cups of salt, how much ingredients does he has in total?

To find the area of a parallelogram, the same formula is used as the one to find the area of a rectangle.

The area of a parallelogram is: Area= base x height.

A parallelogram can be transformed into a rectangle by cutting a triangle off one side and sliding it to the other side. The rectangle that is made has a base and height equal to the base and height of the original parallelogram. The areas will be the same.

Jackie spent $7.99 on her lunch . She ordered three items from the menu. What did she order?

Did she order a sandwich,soup , and a drink? Try adding the 3 items.

$3.99 $2.99 +$1.50

Did she order a salad,soup, and a drink? Try adding these items .

That’s right these three total$7.99

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Area of squares and rectangles

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10m

You can draw segments to divide the figure into rectangles. Then find the area of each rectangle and add.

16 + 40 = 56 so the area of the original figure is 56 square meters.

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Jo has $9.75 and  wants to bey toys for her 3 pets. How much can she spend on each pet?

Divide $9.75 by 3 to find out how she can spend on each pet.

Remember to write the decimal point in the quotient. The decimal point moves straight up.

Jo will have to spend $3.25 to spend on each pet.

Remember that when diving a decimal by a whole number , the decimal point goes straight up and stays in the same position it was at in the original decimal .

1.Here are some examples of the number of faces , edges and vertices of the 3D figures

Triangles &amp; Rectangles

Squares &amp; Triangles

The top number and the numerator,tells the number of equal parts described, the bottom numbers,the denominator,tells how many equal parts there are in all

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Adding and subtracting fractions with like denominators

The denominators are the same, so you can add the numerators

Add or subtract fractions and write answers in simplest form

Adding and  subtracting fractions with like denominator 

You can find two-digit quotients by breaking apart the problem
 and dividing tens, then ones.

A part of line. It has two endpoints. This is line segment XY.

A part of a line.It has 1 endpoint and goes on and on in one direction.This is ray A B.

You can estimate to get quotients. In this lesson you will need to estimate a lot to find you quotient. And don’t forget that when you estimate you should always use the about sign.

Hey, do you need help? Well here is a fast tip:remember that if it is 5 up you estimate up and if it’s 4 down you estimate down.

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The numerator shows how many parts is left

Topic 9-3: Measuring angles

 An angle is formed by two rays  that meet at a common endpoint called vertex. The angle is measured in degrees.

Place the protractor’s center on the vertex of an angle, and the 0 mark on one of the angle’s rays Read the number in degrees where the other ray of the angle crosses the protractor.

Draw a dot to show the vertex of the angle. Place the center of the protractor on the vertex point. Draw another point at the 0 mark and another point at the angle degrees mark. Draw rays from the vertex through the other points.

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!!!!!! WELCOME EVERYONE FOR TOPIC 8!!!!!!

HERE YOU WILL LEARN ABOUT: USING MENTAL MATH TO DIVIDE, ESTIMATING QUOTIENTS, DIVIDING WITH REMAINDERS, CONNECTING MODELS AND SYMBOLS etc…….

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May The Fourth Be With You Do It GIF by Star Wars

Thank you for reading our book we hope you liked it

Topic 9-6:Quadrilaterals

There are four right angles. All sides are the same length.

Opposites sides are parallel and all sides are the same length.

There is only ONE pair of parallel sides.

Perspective is in which way you look at a solid figure:the angle in which you look at it.

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In this book your going a learn things of math ,solids, volume etc.

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If two fractions name the same amount they are called

You can multiply or divide to find equivalent fractions

A fence is 20 ft long. It has posts at each end and at every 4 ft along its length. How many fence posts are there?

The fence is 20 ft long. There are fence posts at each end. There are fence posts every 4 ft along the length of the fence

Yes, the picture shows that there is a total of 6 fence posts.

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Using mental math to divide is like if you were dividing normally but you just a zero.

&#160;Examples: 490 ÷ 7 =70 because 7 x 7 = 49 and you just add a zero

Rectangles that have the same area can have different perimeters.

Example 1 Max wants to put a fence around his backyard that has an area of 16 square feet. Draw all the different rectangular shapes with an area of 16 square feet that Max could make. Then, find the amount of the border Max will need for is backyard.

Max can use any of the rectangular regions shown above. Each has an area of 16 square feet. The perimeter of each rectangle shows the amount of border needed for the backyard.

Mixed Numbers and Decimals on the Number Line

Compare 2 1/2, 1.75 and 2 9/10 on a number line.

2 1/2 is halfway between 2 and 3. 1.75 is halfway between 1.5 and 2.  2 9/10 is just to the left of 3.0 , or 3. 

Any fraction that has a denominator of 10 or 100 can be written as a decimal. Tenths and hundredths are written as digits to the right of the decimal point

Name

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