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.

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:

Smartboard's Interactive Math Module - Addition of Dissimilar Fractions

Addition of Dissimilar Fractions
Lesson Objective:
Add dissimilar fractions.

What are inside the presentation?
How do we add dissimilar fractions?
1. List the multiples of both denominators.
2. Find The LCD.
3. Change to similar fractions
4. Add the numerators
5. Write the denominator

Let’s illustrate the steps with examples (You can find the illustrations in the PowerPoint presentation.)

(Plus more interactive exercises....)

Watch this video first before downloading the Pptx.

Download Addition of Dissimilar Fractions Interactive PowerPoint Presentation

Smartboards Interactive: Addition and Subtraction of Similar Fractions

What are similar fractions?

Similar fractions are fractions having the same denominators.
¼ and 2/4 are similar fractions.

How to add and subtract similar fractions?

You can add and subtract similar fractions easily - simply add or subtract the numerators and write the sum over the common denominator.

Download Interactive Smart Notebook lesson:
Addition and Subtraction of Similar Fractions

Grade: Grade 4, Grade 5, Grade 6

Download Interactive Powerpoint:
Addition and Subtraction of Similar Fractions

Smartbords Interactive Lesson: Multiplication of a Fraction by Another Fraction

Lesson Objective:
Multiply a fraction by another fraction

Teachers' notes:
Subject: Math
Topic: Multiplying fractions
Grade/s: 5-6
Prior knowledge: Concept of Fractions

Lesson notes:
This lesson activity can introduce or review concepts in multiplying fractions.

Contents of the Multiplication of a Fraction by Another Fraction Smart notebook file:

Review:
Translating a fraction into an equation

Problem Opener:
A farmer plowed 3/4 of his field. Then he planted rice on 2/3 of the plowed part. What fractional part of his field was planted with rice?

Questions:
What fraction of the field is plowed?
What fraction of the plowed part is planted?
What fraction of the field is part planted?
What equation translate "2/3 of 3/4 is 6/12"?
How do you multiply fractions?

How to Multiply Fractions
1. Multiply the numerators.
2. Multiply the denominators.
3. Reduce the fraction if necessary.

Practice Multiplying Fractions
On the next page, work out the answer to each problem and simplify.
Then select your choice.

Plus more exercises.

Free Download Multiplication of a Fraction by Another Fraction Smart notebook file:

Math: Fraction - Smart Boards Interactive Lesson

By the end of this session the student should be able to: 

1. Define and identify the numerator and denominator.
2. Understand the concept of equivalent fractions.
3. Understand and define like and unlike fractions. 
4. Understand the concept of a common denominator.
5. Add and subtract fractions.

After this session the students should not only be able to identify a fraction and be able to distinguish between whole numbers and fractions. They identify the numerator and denominator. The lesson later looks at equivalent fractions and mixed fractions, following which the students will get a better idea about equivalent and how to spot them. They will also know how to convert a mixed fraction into improper fraction and vice versa. The chapter also sheds light on addition and subtraction having a common denominator. This will help the students add and subtract the fractions better.

Math: Fraction - Smart Boards Interactive Lesson

Watch this video first before downloading - Illustration of Fractions Pptx

Here is another Fraction Lesson for Grades 2-3 Download Fraction Illustration - Interactive Math PowerPoint Presentation