Topicm1d406ca3d1ed1f98_1528449000663_0Topic

Operations on decimal fractionsoperations on decimal fractionsOperations on decimal fractions

Levelm1d406ca3d1ed1f98_1528449084556_0Level

Second

Core curriculumm1d406ca3d1ed1f98_1528449076687_0Core curriculum

V. Operations on common and decimal fractions. The student:

2) adds, subtracts, multiplies and divides decimal fractions mentally (in simplest examples), using the long method and the calculator (in more difficult examples);

4) compares fractions using their difference;

8) does operations of decimal fractions using own, correct strategies or using the calculator.

Timingm1d406ca3d1ed1f98_1528449068082_0Timing

45 minutes

General objectivem1d406ca3d1ed1f98_1528449523725_0General objective

Doing simple calculations mentally or using the long method in more difficult examples, using these abilities in practical situations.

Specific objectivesm1d406ca3d1ed1f98_1528449552113_0Specific objectives

1. Comparing decimal fractionscomparing decimal fractionsComparing decimal fractions using their difference.

2. Doing operations on decimal fractionsoperations on decimal fractionsoperations on decimal fractions.

3. Communicating in English, developing basic mathematical, computer and scientific competences, developing learning skills.

Learning outcomesm1d406ca3d1ed1f98_1528450430307_0Learning outcomes

The student:

- compares decimal fractions using their difference,

- does operations on decimal fractionsoperations on decimal fractionsoperations on decimal fractions.

Methodsm1d406ca3d1ed1f98_1528449534267_0Methods

1. Situational analysis.

2. JIGSAW.

Forms of workm1d406ca3d1ed1f98_1528449514617_0Forms of work

1. Individual work.

2. Group work.

Lesson stages

Introductionm1d406ca3d1ed1f98_1528450127855_0Introduction

Students revise the most important information about decimal fractions.

- Fractions of denominators 10, 100, 1000… are called decimal fractions.
- Decimal fractions can be written in two ways: as a common fractions or using a comacomacoma, that is a decimal form.

Procedurem1d406ca3d1ed1f98_1528446435040_0Procedure

[Slideshow]

Students work individually, using computers. They open the slideshow and revise how to do operations on decimal fractionsoperations on decimal fractionsoperations on decimal fractions.

After having completed the exercise, they present results of their observations.

- Calculations using the long method on decimal fractions are done the same way as on natural numbers. We need to remember about placing the coma on the right place.
- Before doing the division we need to multiply the dividend and the divisor by 10, 100, 1000… so that the divisor is an integer.m1d406ca3d1ed1f98_1527752263647_0- Calculations using the long method on decimal fractions are done the same way as on natural numbers. We need to remember about placing the coma on the right place.
- Before doing the division we need to multiply the dividend and the divisor by 10, 100, 1000… so that the divisor is an integer.

The teacher divides students into 4 persons groups that work using the jigsaw method. Each member of the group gets different task from the tasks below. After solving the tasks, students gather in groups that were doing the same task. They discuss the solutions and clarify any doubts. Then, they return to the initial groups and present the solutions to other members.

Task 1

Calculate using the long method. Arrange obtained numbers in the increasing order.m1d406ca3d1ed1f98_1527752256679_0Calculate using the long method. Arrange obtained numbers in the increasing order.

a) $6,8+80,4$
b) $1,13+45,12$
c) $19,68+196,8$
d) $12,125+29$

Task 2

Match the pairs. Write proper calculations using the long method.

1. $14,5-11$
2. $35,05-1,8$
3. $20-2,9$
4. $0,054-0,007$

a) $0,047$
b) $17,1$
c) $3,5$
d) $33,25$

Task 3

Calculate. Write proper calculations using the long method.

Task 4

Fill in the table. Write proper calculations using the long method.

[Table 1]

The teacher sums up and evaluates groups’ work.

An extra task

How many times is the quotient of number 2,6 by 5,2 smaller than the product of these numbers?

Lesson summarym1d406ca3d1ed1f98_1528450119332_0Lesson summary

Students do the revision exercises. Then together they sum‑up the classes, by formulating the conclusions to memorise.

- Calculations using the long method on decimal fractions are done the same way as on natural numbers. We need to remember about placing the coma on the right place.
- Before doing the division we need to multiply the dividend and the divisor by 10, 100, 1000… so that the divisor is an integer.m1d406ca3d1ed1f98_1527752263647_0- Calculations using the long method on decimal fractions are done the same way as on natural numbers. We need to remember about placing the coma on the right place.
- Before doing the division we need to multiply the dividend and the divisor by 10, 100, 1000… so that the divisor is an integer.

Selected words and expressions used in the lesson plan

comacomacoma

comparing decimal fractionscomparing decimal fractionscomparing decimal fractions

decimal form of the fractiondecimal form of the fractiondecimal form of the fraction

decimal fractiondecimal fractiondecimal fraction

decimal partdecimal partdecimal part

operations on decimal fractionsoperations on decimal fractionsoperations on decimal fractions

wholeswholeswholes