Determining the Least Common Multiple (LCM) of 2 or More Numbers - Interactive Math Lesson

Objective: Determine the Least Common Multiple (LCM) of 2 or More Numbers
File: Interactive Lesson in flash (swf)
Grades: 5-6


What is Multiple?
A multiple is formed by multiplying a given number by the counting numbers.
The counting numbers are 1, 2, 3, 4, 5, 6, etc.
Least Common Multiple (LCM)
The least common multiple is the smallest number that is common between two lists of multiples.
To determine the LCM of 6 and 8, list their multiples and encircle the first number you see in both lists.
Multiples of 6 - 6, 12, 18, 24, 30, 36, etc.
Multiples of 8 - 8, 16, 24, 32, 40, etc.
The LCM of 6 and 8 is 24.

To better understand the lesson in determining the LCM, watch this flash presentation.

Download it free: Determining the Least Common Multiple (LCM) of 2 or More Numbers

Finding the Greatest Common Factor - Interactive Math Lesson

Lesson: Finding the Greatest Common Factor
File: Interactive flash
Grades: 5-6
In this module pupils are expected to calculate for the GCF of sets of numbers.

The greatest common factor is the largest factor that two numbers share.
There are 2 methods in finding the GCF.
1. Listing Method
2. Factorization Method


Using Listing Method:
Make a list of factors for each number and identify their GCF.
Using Prime Factorization Method:
1. Find the prime factorization of each number.
I2. dentify the common factors and multiply them.

Watch the flash presentation to better understand the lesson. Answer the questions that follow.

Mga Direksyon - Interactive Lesson (HeKaSi 3)

Mga Direksyon
File: Interactive Flash (swf)
Subject: HeKaSi (Araling Panlipunan)
Halos lahat ng mapa ay nakaayon sa hilaga. Ipinakita ito sa compass rose, isang bilog na instrumentong simbulo ng mapa para sa direksyon. Palagi itong nakaturo sa magnetic north ng daigdig. Sa compass makikita ang apat na pangunahin o kardinal na direksyon. Ginagamit ng mga scout at mga manlalakbay ang compass para hindi sila maligaw.

Maraming lugar ang hindi eksaktong makikita sa kardinal na direksyon. Sa larawan sa itaas makikita ang tinatawag na pangalawang direksyon. Ang direksyon sa pagitan ng hilaga at silangan ay tinatawag nating Hilagang-silangan (HS), sa pagitan naman ng timog at silangan ay ang Timog-silangan (TS). Timog-kanluran (TK) naman ang nasa pagitan ng Timog at Kanluran. Ang ikaapat na direksyon ay nasa pagitan ng hilaga at kanluran na kung tawagin natin ay Hilagang-kanluran (HK).


Download Mga Direksyon

Adding Mixed Numbers with the same Denominators - Interactive Math Lesson

Lesson: Adding Mixed Numbers with the same Denominators
File: Interactive Flash (swf)
Grade/s: 5-6


Adding Mixed Numbers with the same Denominators

Do you know how to make a banana cake and an apple cake??
Can you help me solve my problem?

I want to make a banana cake and I will use 2 1/3 cups of flour. I also want to make an apple cake and I will use 2 1/3 cups of flour. I'm wondering how many cups of flour I will use to make these cakes.
What will I do to solve this problem?

Before we add 2 1/3 and 1 1/3, let us illustrate each mixed number first.
How do we add mixed numbers?
Follow these steps:
Step 1: First add the fractions.
Step 2: Add the whole number parts of the mixed numbers.
2 1/3 1 1/3 = 3 2/3
Putting steps 1 and 2 together: 2 1/3 1 1/3 = 3 2/3
My problem was solved! I need 3 2/3 cups of lour to make a banana cake and an apple cake.

The steps in adding mixed numbers with similar denominators are:
1. First add the fractions.
2. Add the whole numbers.
3. Combine the results.

Do you understand how to add mixed numbers?

Let's have another problem.
Tino harvested 5 3/5 kilos of mangoes and his brother Roel harvested 7 1/5 kilos. How much did they harvest together?

Solution: In the problem, the fractions given are:5 3/5 and 7 1/5.
To find out how much did they harvest together, we have to add 3/5 + 1/5 = 4/5, 5 + 7 =11
Tino and his brother harvested 11 4/5 kg of mangoes.

To better understand how to add mixed numbers with the same denominators, see this:

Subtracting 3 Digit Numbers Without Regrouping - Interactive Math 1

Subtracting 3 Digit Numbers Without Regrouping
Interactive Math 1 Lesson for Interactive Whiteboard

This module enumerates the steps in subtracting three-digit numbers without regrouping. The concept is developed comprehensively in the context of a story. The original number of seeds is initially given and later on, the concept is applied to the problems on seeds which are given at the start of the lesson.
 

Subtracting 3 Digit Numbers Without Regrouping
by www.courseware.dost.gov.ph
Philippine copyright 2006 by Science Education Institute and Advanced Science & Technology Institute
User License Agreement

Regrouping Ones into Tens and Tens into Hundred - Maths 1

Regrouping Ones into Tens and Tens into Hundred
Interactive Math 1 Lesson for Interactive Whiteboard

This module shows how to regroup sets of ones into tens and sets of tens into hundreds using objects. It utilizes several objects in the discussion of the concept. Said objects are those that pupils usually encounter in their daily life.



Regrouping Ones into Tens and Tens into Hundred
by www.courseware.dost.gov.ph
Philippine copyright 2006 by Science Education Institute and Advanced Science & Technology Institute
User License Agreement

Adding 1 Digit to 2 Digit Numbers With Sum Up to 99 With or Without Regrouping

Adding 1 Digit to 2 Digit Numbers With Sum Up to 99 With or Without Regrouping
Interactive Math 1 Lesson for Interactive Whiteboard

This module discusses adding 1 to 2-digit numbers with sum through 99 with or without regrouping. The topic is conceptualized using a story of a group of pupils on an educational trip. The number of boys and girls are used as the values to be added with or without regrouping.



Adding 1 Digit to 2 Digit Numbers With Sum Up to 99 With or Without Regrouping by www.courseware.dost.gov.ph
Courseware Project (c) Copyright 2008
User License Agreement

The Days in the Week - Interactive Math 1 Lesson

The Days in the Week
This module includes a topic on telling the number of days in a week using a calendar. A dialogue between Ling-Ling and Linda talking about the days in a week introduces the presentation. A sample calendar is used as a reference to answer the questions on the exercises.




The Days in the Week
by www.courseware.dost.gov.ph
CPhilippine copyright 2006 by Science Education Institute and Advanced Science & Technology Institute
User License Agreement

Separating a Group of Objects into Halves - Math 1 Interactive Lesson Module

This module explains a lesson, which discusses separation of objects into halves/fourths. This is illustrated by a dialogue, wherein the father divides the chocolates equally between his two sons. Several objects are also used as illustrations in the development of the concept.

Separating a Group of Objects into Halves
by www.courseware.dost.gov.ph
Philippine copyright 2006 by Science Education Institute and Advanced Science & Technology Institute
User License Agreement

Recognizing One-Fourth of a Whole - Math 1 Interactive Lesson Module

This module tackles recognizing one-fourth of a whole. The discussion evolves on dividing a pizza into four equal parts and distributing each part to four persons. The exercises at the end aims to enhance the concept developed.




Recognizing One-Fourth of a Whole
by www.courseware.dost.gov.ph
Philippine copyright 2006 by Science Education Institute and Advanced Science & Technology Institute
User License Agreement

Prime Numbers and Prime Factorization - Interactive Math Lesson

Prime Numbers and Prime Factorization
File: Interactive flash
Grade: 5-6

What are Factors?
Factors are the numbers you multiply together to get a product.
Ex: The product 16 has several factors.
16 = 1 x 16
16 = 2 x 8
16 = 4 x 4
SO, the factors are 1, 2, 4, 8 and 16.
Let’s find the factors of 16.

How to Get Factors
Begin with 1 times the number 16.
1 x 16
Then, try 2, 3, 4, and so on…
2 x 8
3 x ? - 3 is not a factor, so cross it out
4 x 4
If you get doubles (like 4 x 4), then you’re done.  Repeats or doubles means you’re finished.
The factors of 16 are 1, 2, 4, 8, 16

Prime and Composite Numbers
Prime numbers are numbers that only have two factors: one, and the number itself.

EXAMPLES:
3, 5, 7, 11, 31

Composite numbers have more than two factors.

EXAMPLES:
6, 15, 24, 30, 45

Remember this List of Prime Numbers up to 100. They can help in our lesson.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Product of Primes
Every composite number can be expressed as a product of prime numbers.
This is called prime factorization.
12 is a composite number.
It can be expressed as a product of primes: 2 x 2 x 3  or  22 x 3

To find the prime factorization:
Divide the number by the first prime number possible.
Circle the prime number, and continue with the other factor.
Divide the new factor by a prime number.
Continue this process until the only numbers you have left are prime numbers.

For more about the lesson watch the flash presentation of Prime Numbers and Prime Factorization

Solving Word Problems Involving Multiplication of Decimals Including Money - Interactive Math

Remember, there are only four operations to choose from: multiply, divide, add, or subtract.
Try a few operations and see which answer makes the most sense.

Words that mean “Add”
In all, Increased by, How many / how much, Sum, Total, Added to, Altogether

Words that mean “Subtract”
How many / how much MORE, Decreased by, Difference, Less than , Fewer than, Left / left over, Reduced by

Words that mean “Multiply”
Of, Product, Times, Multiplied by, In all / total / altogether (when referring to repeated addition)

Words that mean “Divide”
Quotient, Out of , Per, Ratio, Percent

Watch the video for the lesson - Solving Word Problems Involving Multiplication of Decimals Including Money

 

Iskalang Mayor at Menor (Major and Minor Scale) - MSEP Interactive Music Lesson

Tunugang Mayor at Menor
Iskalang Mayor at Menor (Major and Minor Scale)
File Type: Video and Flash
Lahat ng tunugang mayor ay may kaugnay na tunugang menor. Ang tunugang menor ay isa at kalahating hakbang na mababa sa kaugnay na tunugang mayor.
Ang pagkakaiba sa kayarian ng iskalang mayor at iskalang menor ay ang pagkakasunud-sunod ng mga notang may buong hakbang at kalahating hakbang.
Ang nagtatakda ng pagiging mayor o menor ay ang pangatlong nota sa iskala na pinababa nang kalahati sa iskalang menor. Ang pang-anim na nota sa iskala na pinababa nang kalahati ay karaniwan din sa iskalang menor.

Sa iskalang mayor, ang puwersa o lakas na ibinibigay ng kalahating hakbang sa pagitan ng pampito at pangwalong nota ay "hindi" matatagpuan sa iskalang menor. Ito ang lakas na panghila mula sa ikapitong nota tungo sa ikawalong nota. Sa iskalang menor ay isang buong hakbang ang pagitan ng pampito at pangwalong nota. Ito ang nagbibigay ng hindi karaniwang tunog sa ating pandinig. Download Iskalang Mayor at Menor (Major and Minor Scale) - Flash .swf

Iba't-ibang Palakumpasan - Musika 6 Interactive Lesson

This module about Palakumpasan inculdes videos, activities and quizzes.
Palakumpasang 2/2, 2/4, 3/4 at 6/8.
Ang palakumpasan ay isang mahalagang bahagi ng lahat ng komposisyong musikal. Ito ang nagtatakda ng bilang ng pulso sa bawat sukat at kung anong uri at gaano karaming nota at pahinga ang dapat ilagay sa isang sukat.

Ang palakumpasan ay binubuo ng dalawang bilang; isa sa itaas at isa sa ibaba. Ang bilang sa itaas ang nagtatakda kung ilang pulso o kumpas mayroon sa isang sukat at ang bilang sa ibaba ang nagsasaad kung anong uri ng nota at pahinga ang tatanggap sa isang kumpas.

For more about the lesson See the interactive lesson in flash, compatible with IWB.

Download Iba't-ibang Palakumpasan - Musika 6 Interactive Lesson

Multiplying and Dividing Decimals by 10, 100 and 1000 - Interactive Math Lesson

Lesson Title: Multiply and Divide Decimals by 10, 100 and 1000
File: SWF Flash
Grade: 6

When you multiply by 10, 100, or 1,000, you can move the decimal point to the right.
The number of decimal places you move is the same as the number of zeroes you are multiplying by.
When you divide by 10, 100, or 1,000, you can move the decimal point to the left. Move the decimal point once for each zero you are dividing by.


Download Multiplying and Dividing Decimals by 10, 100 and 1000 - Interactive Math Lesson


Multiplying and Dividing Decimals by 0.1, 0.01, and 0.001
File: SWF Flash
Grade: 6

When you multiply by 0.1, 0.01, or 0.001 ,you can move the decimal point to the left.
The number of decimal places you move is the same as the number of decimal places you are multiplying by.
When you divide by 0.1, 0.01, or 0.001, you can move the decimal point to the right.  Move the decimal point once for each decimal place you are dividing by.

Download Multiplying and Dividing Decimals by 0.1, 0.01, and 0.001 - Interactive Math Lesson

Recognizing One-Half of a Whole - Math 1 Interactive Lesson Module

This module involves the recognition of one-half of a whole. It shows several situations where 1/2 is illustrated. Likewise, problems are presented to concretize the concept.





Recognizing One-Half of a Whole
by www.courseware.dost.gov.ph
Philippine copyright 2006 by Science Education Institute and Advanced Science & Technology Institute
User License Agreement

Place Value of 3-Digit Numbers - Math 1 Interactive Lesson Module

This module focuses on discussing place value of three-digit numbers. The topic is developed with a story, catching mangoes using baskets. The concept extends from counting the mangoes grouped in a basket to getting the amount of the mangoes picked, which is presented at the latter part of the lesson.





Place Value of 3-Digit Numbers
by www.courseware.dost.gov.ph
Philippine copyright 2006 by Science Education Institute and Advanced Science & Technology Institute
User License Agreement

Associating and Identifying Numbers with Sets having 101 to 500 Objects

Associating and Identifying Numbers with Sets having 101 to 500 Objects
Interactive Whiteboard Resources

This module presents counting objects which are greater than 100 but less than 500. The lesson originates from counting books on a shelf and presents other situations which develop the same competency.





Associating and Identifying Numbers with Sets having 101 to 500 Objects
by www.courseware.dost.gov.ph
Philippine copyright 2006 by Science Education Institute and Advanced Science & Technology Institute
User License Agreement

Maths Song - Oh, It's Math Time After All (Karaoke)

Song: Math Time (It's a Small World)
Compatible with Interactive Whiteboard

Oh its Math time after all 3x
Come together and come all
There is just one class
We enjoy a lot
Where our mind think hard
And compute so much
Though the drills are so fast
And the problem so tough
We enjoy our class in Math.

Iba't-Ibang Palakumpasan - Interactive Music Lesson

Ang palakumpasan ay isang mahalagang bahagi ng lahat ng komposisyong musikal. Ito ang nagtatakda ng bilang ng pulso sa bawat sukat at kung anong uri at gaano karaming nota at pahinga ang dapat ilagay sa isang sukat.

Ang palakumpasan ay binubuo ng dalawang bilang; isa sa itaas at isa sa ibaba. Ang bilang sa itaas ang nagtatakda kung ilang pulso o kumpas mayroon sa isang sukat at ang bilang sa ibaba ang nagsasaad kung anong uri ng nota at pahinga ang tatanggap sa isang kumpas.

Sa mga palakumpasang 2/4, 3/4 at 4/4 , ang "quarter note" at "quarter rest" ang tumatanggap ng isang kumpas, samantalang sa palakumpasang 2/2 , ang tumatanggap ng isang kumpas ay ang "half note" at "half rest".

Awitin at kumpasan ang sumusunod na mga awit na may iba’t-ibang palakumpasan.
1. Magtanim ay Di Biro
2. Pobreng Alindahaw
3. Family
4. It’s a Small Word

Palakumpasang 2/4
Bilang ng kumpas sa isang sukat (2 kumpas)
Notang tumatanggap ng isang kumpas (quarter note)

Palakumpasang 3/4
Bilang ng kumpas sa isang sukat (3 kumpas)
Notang tumatanggap ng isang kumpas (quarter note)

Palakumpasang 4/4
Bilang ng kumpas sa isang sukat (4 kumpas)
Notang tumatanggap ng isang kumpas (quarter note)

Palakumpasang 2/2
Bilang ng kumpas sa isang sukat (2 kumpas)
Notang tumatanggap ng isang kumpas (half note)

Palakumpasang 6/8
Bilang ng kumpas sa isang sukat (6 kumpas)
Notang tumatanggap ng isang kumpas (eight note)

Ang palakumpasang 6/8 ay may ritmong tambalan. Mayroon itong anim na pulso o kumpas sa isang sukat. Ang mga pulso nito ay tambalang tatluhan o napapangkat sa tatlo. Ang palakumpasang ito ay may dalawang diin (accent) sa isang sukat. Ang unang diin na nasa unang kumpas ay mas mabigat kaysa pangalawang diin na nasa pang-apat na kumpas. Ang palakumpasang ito ay may dalawang diin (accent) sa isang sukat. Ang unang diin na nasa unang kumpas ay mas mabigat kaysa pangalawang diin na nasa pang-apat na kumpas.

Makikita sa presentation ang mga halaga ng mga nota sa iba't-ibang palakumpasan kasama na ang mga exercises.
Here is a very good flash presentation of the lesson. Free download here.