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Calculate the parts of whole numbers and proper fractions respectively 2 1 2 ?1 5 6 =2 3 6 ?1 5 6 We cannot subtract 5
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Even though they are given improper or mixed fractions in the calculation Add whole numbers first in the mixed fraction
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Step 2: Add or subtract the numerators Step 3: If the answer is an improper form reduce the fraction into a mixed number Exercise 1: Add the fractions
163163
Chapter 9 Addition and Subtraction of Fractions
1. Content Standard
5.1.1 Apply the process of addition and subtraction to add and subtract the fractions with different
denominators.2. Unit Objectives
• To expand students understanding on fractions.• To think about how to calculate addition and subtraction of fractions with different denominators.
• To master the calculation of fractions with different denominators.3. Teaching Overview
Students learn addition and subtraction of fractions with different denominators. They will see that addition and subtraction of fractions with different denominators can also be taught based on the common unit fraction. Even though they are given improper or mixed fractions in the calculation, they can think as how many unit fractions should be added or subtracted. It might look complicated for the students, but they know how to solve it based on theirexperiences. Finally, they will find out that it is easy to add or subtract several types of fractions by
making the denominators common.4. Related Learning Contents
Grade 6Grade 2
• Concept of FractionGrade 5
• Multiplication of fractions [Fractions] • Meaning of fraction and how to represent as fraction • Multiplying both a denominator and numerator with the reducing fraction to its lowest terms and reducing fraction to a common denominator • Fraction as a quotient of one number divided by another • Interrelationship among fraction, decimal numbers and integers, equivalent numbers, correspondence on a number line [8. Fractions]Grade 3
[16. Weight] • Meaning of fraction • Proper fraction, mixed fraction and improper fraction • Size of fractions and equal fraction • Addition of fraction with the same denominatorGrade 4
• Addition and subtraction of fraction with different denominators [9. Addition and Subtraction ofFractions]
• ,Multiplication and division of fractions [11. Multiplication and Division ofFractions]
• Division of fractions • Decimal numbers and fraction [17 Fractions] [17 Fractions][3. Multiplication of Fractions] [4 .Division of Fractions] [6. Operation of Decimals and Fractions] 164Unit 9 • To understand the meaning of addition of fractions and how to calculate fractions with different denominators. • To confirm how to calculate addition of fractions with the same denominator. • To think about how to calculate addition of fractions with different denominator.• Identify method(s) of representing fractions with different denominators to same denominators. F • Simplify fraction to its simplest form. F • Calculate the addition of fractions with the same and different denominators. S
Unit: Addition and Subtraction of Fractions
Sub-unit 1: Addition of Fractions
Lesson 1 of 2
Textbook Page : 122 to 124
Actual Lesson 082
• We can add fractions with different denominators by making the denominators the same. • When reducing fractions to simplest form, we divide both the numerator and the denominator by the same number. • Diagram for tasks 1 and 2 • Papers to fold and divide the parts• Addition and subtraction of fractions with the same denominators 1 L1 L 52L51 L
122=×
We have learned the addition
of fractions with the same denominator in grade 4.There are 2
5 L and 15 L of orange juice in the containers.
How many litres are there altogether?
1 Let's write a mathematical expression.
Expression:
2 Let's calculate.2
5 L15 LAddition of Fractions1
Addition and Subtraction
of Fractions 9 1 1 5151 414
1 616
1 717
1 5 2 5 1 5
1 L1 L1 L
31L21 L? 1 2 1 3 123=
There are 13 L and 12 L of orange juice in the containers.
How many litres are there altogether?
1 Write the mathematical expression.
Expression:
2 Let's think about how to calculate.
I can calculate
2 5 1 5 , but...How do we mark
scales for finding the answer. 1 3 L12 L 2 Let's think about how to add and subtract fractions with different denominators. 1 5151 212
1
3131414
Addition of fractions with the same denominator Addition of fractions with different denominators 1 3 1 2 165Lesson 082 Sample Blackboard Plan is on
page 167.1 Addition of fractions with same
denominators T/S 1Read and understand the situation and make
meaning of 2 5 and 1 5 using the pictures. S 1Write a mathematical expression. (
2 5 1 5S 2 Calculate the problem using prior knowledge.
T Confirm students' answers on the board.
T Introduce the Main Task. (Refer to the BP)
2 Addition of fractions with different
denominators T/S 2Read and understand the situation and make
meaning of 1 3 and 1 2 using the pictures. S 1Write a mathematical expression. (
1 3 1 2 T 2Let's think about how to calculate.
SThink of ways on how to calculate
1 3 1 2 and share ideas with friends.3 3 How to add fractions with different
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