Types of fractions.

 Lesson 9    

              Types Fractions

Objective: To compare and order fractional numbers through various interpretations, resources, and representations.

Keywords: Fractions, numerator, denominator, proper, improper, and mixed fractions. 

Vocabulary

Nº	English	Spanish
1	Add	Suma
2	Below	Debajo
3	Can	Poder
4	Denominator	Denominador
5	Equal	Igual
6	Each	Cada
7	Easy	Fácil
8	Five twenties (5/20)	Cinco veinteavos
9	Find	Encontrar
10	Greater	Mas grande
11	Improper	Impropia
12	Keep	Mantener, conservar
13	Less	Menos
14	Mixed	Mixto (a)
15	Numerator	Numerador
16	On the top	En la parte superior
17	One half (1/2)	Un medio
18	One third (1/3)	Un tercio
19	Proper	Propia
20	Read	Leer
21	Smaller	Mas pequeño
22	Simplifying	Simplificación
23	Some	Algunos (as)
24	There is, there are	Hay
25	Through	A través de, por medio de
26	Two fifths (2/5)	Dos quintos
27	Whole number	Numero entero

Lesson Plan Nº9 - English version

Lesson Plan Nº9 - Spanish version

Let’s learn about: Types of fractions.

There are three types of fractions: Proper, Improper and Mixed fraction.

So, we can define the three types of fractions like this:

Proper Fraction

A fraction is proper when the numerator is less (-) than the denominator

Look this example:

The numerator (number 1) is less (-) than the denominator (number 2).

These are examples of proper fractions.

Improper Fraction

A fraction is improper when the numerator is greater (+) than denominator.

Example:

The numerator (number 3) is greater (+) than the denominator (number 2).

Look at these examples:

Mixed Fraction

This fraction has two parts: whole number and fraction.

Example:  

The number 1 is the whole number and 5/7 is the fraction. 

More examples:

How to convert a mixed fraction into improper fraction?

Step Nº 1: keep the same denominator

Step Nº 2: Multiply the whole number with the denominator

Step Nº 3: Add 10 with the numerator 

Finally: We find the improper fraction 

Let’s watch the following video!

Let’s practice!

Activity Nº1

Find the following words: 

 1.     EQUIVALENT FRACTIONS

 2.    IMPROPER FRACTION

 3.    PROPER FRACTION

 4.    MIXED FRACTION

 5.    DENOMINATOR

 6.    WHOLE NUMBER

 7.    ELEVEN THIRD

 8.    TWENTY FIFTH

 9.    TWO QUARTER

 10.  NUMBER LINE

 11.  NUMERATOR

 12.  SIX EIGHTS

 13.  FRACTION

 14.  SIMPLIFY

 15.  ONE HALF

                       Activity Nº2

1.     Which of the following are:

·         Proper fractions

·         Improper fractions

·         Mixed fractions 

Addition of fractions.

 Lesson 10 

Addition of fractions

Objective: To compare and order fractional numbers through various interpretations, resources, and representations.

Keywords: Fractions, numerator, denominator, addition, homogeneous and heterogeneous fractions. 

Vocabulary

Nº	English	Spanish
1	Add	Sumar
2	Addition	Suma
3	Adding	Sumar
4	Crosswise (multiply in crosswise)	En cruz (multiplicar en cruz)
5	Denominator	Denominador
6	Different	Diferente
6	Equal	Igual
7	Each	Cada
8	Easy	Fácil
9	Five twenties (5/20)	Cinco veinteavos
10	Find	Encontrar
11	Homogeneous	Homogénea
12	Heterogeneous	Heterogénea
13	Identify	Identificar
14	Keep	Mantener
15	Least common multiple (LCM)	Mínimo común múltiplo (mcm)
16	Must	Deber
17	Numerator	Numerador
18	On the top	En la parte superior
19	One half (1/2)	Un medio
19	One third (1/3)	Un tercio
20	Proper	Propia
21	Read	Leer
22	Smaller	Mas pequeño
23	Simplifying	Simplificación
24	Same	Mismo
25	Take	Tomar
26	There is, there are	Hay
27	Through	A través de, por medio de
28	Two fifths (2/5)	Dos quintos
29	Whole number	Numero entero

Lesson Plan Nº10 - English version 

Lesson Plan Nº10 - Spanish version

Let’s learn about: Addition of fractions.

For adding fractions, it is important to know that there are two types of fractions: Homogeneous and Heterogeneous

Homogeneous Fractions

Fractions are homogeneous when they have the same denominator.

Example: 

Heterogeneous Fractions

Fractions are heterogeneous when they have a different denominator.

Example

For adding fractions, it is important to identify the type of the fraction. Pay attention to these examples:

Addition of Homogeneous Fractions

To add homogeneous fractions, we add the numerators and keep the same denominator.

Addition of Heterogeneous Fractions

To add heterogeneous fractions, you must follow these steps.

Example

Step Nº 1: Take the denominators, and find the least common multiple (L.C.M).

The least common multiple of 3 and 5 is 15.  We take this number and write the new denominator.

Step Nº 2: Multiply the numerator with the denominator crosswise.

Step Nº 3: Add the numerators and keep the denominator.

And, this is the answer:

Let’s watch the videos!

Video Nº1- Addition of homogeneous fractions.

Video Nº2- Addition of heterogeneous fractions.

Let’s practice! 

Activity Nº1 

Solve the following additions, choose the correct option.

 

                       Activity Nº 2 

Watch the following additions and find the answer by matching each fraction with its pair.

Activity Nº 3 

Reduce the fractions to the common denominator. choose the correct option.