This book was created by 4th grade students in the Advanced Math Program at Latin American School, in Monterrey, México.


This Is What We Have Learned

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

Clouds pattern

It’s when you are multiplying like 4 x 36 you separate the 36 into 30 and 6 then multiply 4 x 30 and 4 x 6 then the product of both you add them.

Example:5 x 57 (5 x 50) + (5 x 7) = 250 + 35 =285.

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When rounding decimals  you can use a line to see if you need to round up or down

You round up when the number is 5-or greater and if it is 4-or less you round down

When rounding a whole number you can use a line to see if you round up or down

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Stars pattern

In this lesson you need to choose which one is greater than.

The lesson 1 is about the place value of great numbers.

Also you need to order number from least to greatest.

You need to use the alligator skill for you to know how to compare easily.

done by: stickers Majo Cantú writing Mauricio Bernal

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Book Made by: Alfredo García, Adrian Lozano, and Mariam Perales

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Topic 7:lesson 8 Dividing a decimal by a decimal 

When dividing a decimal by a decimal you can make it easier by moving the decimal point of the divisor until it is a whole number and on the dividend you need to move the decimal point the times the divisor need to be moved

EXAMPLE

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Problem Solving: Act It Out and Use Reasoning

A new water park was opened a total of 452 people came on the first 4 days,on the first day a total of 84 people came, on the second day a total of 116 people came ,on the third day a total of 127 people came.How many people came on the fourth day?

First you have to add all the people that  came to the park the 3 days than you subtract the total people that came to the park and the answer is that

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So first check if the four fits in the first digit that in this case it doesn’t so then skip to the second digit the check if the four fits into 13.It does so then divide that is 3 with remainder 1 so bring it down and bring down the 6 and how many times does 4 fit into 16 four times remainder 0 so the quotient is 34.

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Lesson 4 is all about understanding division ➗ without remainder so for example if we have 136 divided by 4 you need to do this process:

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Lesson 9 Draw a picture and write an equation 

Steps: DRAW A PICTURE WRITE AN EQUATION SOLVE THE PROBLEM

In this lesson for every problem we have we need to draw a picture to understand better the problem.Then write and equitation and for the last step solve.

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Ending Over It Sticker by taylorleenicholson

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In this lesson we are still dividing but the quotient has 0 in it.

Step 2: If not find the closest factor from that number

Step 3: When you find that common factor divide normally

Estimating Quotients With 2-Digit Divisors

Examples: 347 ÷ 5 The closest factor from 374 to 5 is 35 so you now do 350÷ 5 is equal to 70

wife swap wasn&#39;t hard GIF by Paramount Network

Multiplyplying a Decimal by a Whole Number

and to remind you, don’t add a zero when a decimal has a zero

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By Mathias Aviña Quiroga and Alyssa Ayala

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IN THIS LESSON WE ARE FOCUSING IN FINDING THE FACTORS OF A PRODUCT. YOU CAN ALSO MAKE A TABLE

THE FACTORS OF 12 ARE : 1,2,3,4,6, and 12

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We will teach to multiply a 2-digit number by a 2-digit number

When you multiply a 2-digit number by a 2-digit number you need to multiply the digit on the ones place of the one that is multiplying to the other one then that with the tenths place

In this lesson you kind of make an addition inside the multiplication because if you have 14 x 11 you multiply 1 x 4 then 1 x 10.You put them instead of the answer like an addition then repeat it but now start in the tenths place so that you add and get the answer. Example:

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When you divide a decimal by 10 you need to move the decimal point to the left 1 time because the 10 only has 1 zero. and the same with 100 but you move it 2 times because it has 2 zeros. and the same with the 1,000 but 3 times because it has 3 zeros.

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In this lesson you need to know which is the place value of the underlined digit.

5,467,764

8,568,375

552

The more zeros it has the digit the more value it has.

And also know how to add numbers with zeros so it would be a million or a thousand.

so you know that  45 divided by 9 is 5 right? So in this lesson you will learn how to divide 450 by 9, it is easy, but only if you understand the lesson

First you need to ignore the zeroes that it has in the number you are dividing. Then you do the division normally, and when you finish you just add a the zeroes you ignored and that is your answer

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By: Iñaki Freites Pollonais and Diego López Garza

Topic 7: Lesson 3 estimating the product of a Decimal and a whole Number

You can estimate decimals by rounding up or down but when it appears like 0.8 and you think that the correct answer is rounded to 1 it is not correct because in 0.8 you need to estimated to 0.1 because 0.1 it is 10 but in decimal

In this lesson you need to find a pattern.

It is easy to find the pattern all you gotta do is in the white spaces you see the number before the white space and the one before the one that already has a number after the white space after that see how many it takes to get to the number like 81 then is 82 you can see that the difference is 1 more so add one more to 83 and repeat the same with the other white spaces and you will get the chart complete

Place value is a place where the number is,for example this example down here,it is a chart with different numbers the letter “h” means hundreds the “t” equals tens and the “o” is ones 

Material section place value

There are also some different ways to right down the numbers 386. There is a way called ‘standard form’ which is the normal form like ‘386’. Then there is the ‘word form’ which is in words like ‘ three hundred eighty-six’. And lastly there is called ‘expanded form’ which is the same but like this ‘300+80+6’ and if you add that is ‘386’

LESSON 1 DIVIDING MULTIPLES OF 10 AND 100 LESSON 2 ESTIMATING QUOTIENTS

LESSON 1 DIVIDING MULTIPLES OF 10, AND 100

There are several ways to adjust whole numbers to estimate quotients. Example: There are 216 students. The school has 8 classrooms. How many students will be in each classroom? Estimate 216 ➗ 8

IN LESSON 1 WE ARE DIVIDING NUMBERS WITH ZEROS, SO THE ONLY THING YOU HAVE TO DO IS TAKE THEM OUT AND PUT THEM BACK IN AT THE QUOTIENT.

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To add a decimal it is easy the steps are write the numbers,lining up the decimal points.Include the zeros to show place value.

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An expression is solved downwards and does no have an equal sign

Expressions are solved following order of operations

An expressions contains numbers , variables , and. At least one operation

A variable is a symbol that has a certain value in an expression 

<ol><li>Expression</li><li>substitution</li><li>Solution</li></ol>

(More Patterns and Expressions)

Let’s he have 4n+6 if there is a letter after the number that means you are multiplying but we don’t know what the value of the letter is but the instructions says that the value of the letter is let say 3 so 4x3 is 12+6 18 so the answer is 18 the same if it is 4n-6 just instead of adding subtract and the same on 4n divided by 6 just instead of subtracting and adding ,divide.

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problem solving: 2-8 multiple step problems

To do multiple step problem you need to know what you know what are you trying to find plan and solve the equation you need to know what equations you need to answer the problem and get the answer you’re looking for 

They are frases to say a problem without using symbols.This are some examples like:the sum of 819 plus h,the product of 39 and r,t less than 40,and 1,000 divided by f.

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So let’s say you have this 14x6 you don’t know the time table of 16 so you estimate.To estimate you need to round.

Multiplying by 1 digit number is the same as adding them but shorter like 8x4=32 but 8+8+8+8=32 so multiplication is shorter.👌

Problem Solving:Missing or Extra Information

Aiko bought 6 red balloons and 11 clear balloons for a party. During the party, 3 clear balloons burst but none of the red balloons did. How many clear balloons did Aiko have after the party?

Let say it says witch operation is done first and the operation is this 6 + 7 x 2. Look at the pemdas which operation is first the multiplication or the addition. The. Multiplication because is first so the answer is the multiplication

From left to right and from top to bottom 

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TOPIC 1 ADVANCED MATH

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Answer the questions down below (even though their are all answered)

When comparing numbers you first need to see which one is grater and when you are ordering you got a do the same but if it ask you to order from least to greatest find the least one first and then the other ones 

Topic 7:Lesson 6 dividing a decimal by a whole number

when dividing a decimal by a whole number you just need to align the decimal point Example:

when You divide by a decimal it always need to remain zero and if not you will need to add a zero

Thank you for reading our book we hope you enjoyed it!

By:Mariam Perales, Alfredo García and Adrián Lozano 

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Done by: Majo Cantú and Mauricio Bernal 

Well Done Good Job Sticker by Paula Baines

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Problem Solving: Multiple-Step Problems

Tom is putting together colored balls to give as a gift. The chart shows the balls he had on hand yesterday. This afternoon he bought 4 boxes of red balls containing 45 beads each. How many packets of 60 beads can he put together?

Seth Meyers Question GIF by Late Night with Seth Meyers

When doing multiple step problems you need to read and understand what they are telling to you and the do multiplication division etc.

Thanks for your attention. Goodbye!

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In this lesson we are talking about distinguishing if either a number is prime or composite.We can see if it is a prime number because it only has 1 or 2 factors and a composite number has 3 or more factors.

We know if either a number is prime or composite because we make a t table that looks like this.

245 ÷ 53 = 7 R21 Check: 7X32=224+21=245

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Step 1: Write the numbers, lining up the decimal points. Include the zeros to show place value

Step 2: Subtract the hundredths. Regroup if you need to.

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In this lesson we are also focusing in dividing but this time with remainders.

So first you need to see if the 9 fits into the first digit in this case it doesn’t fit so the next digit that is 21it fits 2 times with remainder 3 so then bring down the 0 that is 30 divided by 9 is 3 remainder 3 but we don’t have anymore digits left so the answer is 23 remainder 3

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when you estimate you will need to see if the number is less than 5 or 5 or greater.

Math Coding Sticker by BYJU'S FutureSchool

to draw a equation and a picture you have to get the information you need and draw a picture and  a equation from it and you need to tell if your gonna add,subtract,multiply or divide 

Exponents are like 6 in the power of 3 so 6x6x6 36x6 36 x 3=108 108+108 216 so it is kind of easy if you know the process we showed on the last lesson

Pictures can help you solve a problem so in this lesson we will do that.

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Estimation: Decimals Divided by Whole Numbers

When you multiply decimals in the quotient you always add a decimal point , because if not the awnser is wrong 

LESSON 2 ESTIMATING QUOTIENTS EXAMPLE

Estimating and Dividing with Greater Numbers

Step 1: Estimate. Round the divisor and the dividend 8976 ÷ 87 is estimated to: 9,000 ÷ 90=100

Step 2: Now, preferely you do it but i you cannot just use the calculator to find the quotient. 8976 ÷ 87= 103.1724….. 

Example: 235 ÷ 30 IS Rounded to 240 ÷ 30=8

STEP 3: Round your answer to check if it is reasonable. Remember if your digit is 5 or more you will round up , but if your digit is 4 or less you will rund down.

In this lesson we are going to learn how to check if a problem is reasonable.

We always need to check if a problem is reasonable because if it’s not reasonable sometimes you can’t solve the problem.

After you solve a problem, check to see if your answer is reasonable. Also that you answered the correct answer.

For example: 280 ÷ 70= 4 Take out a zero for a zero so it can be much easier and 28÷7 what it is. Is 4.

You can use basic facts and patterns to divide mentally

What is 2400 ÷ 40? Doing this is the same as doing 240÷4 you just add the zeroes So 2400÷40 = 60

Think: 420 ÷ 70 is the same as 42 tens ÷ 7 tens

Is almost the same like place value but in a chart sometimes we are doing in the millions or billions and we put a chart to see where they go like this charts that tell us about the thousands and some that tells us about the billions and millions

Material section place value chart

Now let’s start with the lessons

Topic 7:Lesson 1multypling decimals by 10,100,1000

When multiplying with zeroes a decimal you need to move the places of zeros to the right Example:

That answer was because if I have 2 zeroes that’s the number of places that the decimal is moving

Authors: Mauricio Ostos Aponte, Sarah Karcz González, and Diego Patricio Viggiano Perez

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The commutative property is when you change the order of the multiplication but it is still the same.

Associative property of multiplication is when you change the order of the grouping factors but the product is still the same.

Using mental math to multiply Lesson 3-2

The zero property is when a number is multiplied by zero.

This Lesson is about multiplying in patterns like 8x2=16 so 8x20=160 and like that you keep adding zeroes,here you have some examples 4x7=28 4x70=280 4x700=2800 4x7,000=28,000 5x1=5 5x10=50 5x100=500 5x1,000=5,000 12x3=36 120x3=360 1200x3= 3,600 12,000x3=36,000

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