Lesson plan

Topicmc8f330dc7ed33927_1528449000663_0Topic

Column division by multi‑digit numbers

Levelmc8f330dc7ed33927_1528449084556_0Level

Second

Core curriculummc8f330dc7ed33927_1528449076687_0Core curriculum

II. Operations on natural numbers. Student:

3) multiplies and divides the natural number by a one-, two- or three‑digit natural number with the use of column method, by a mental calculation method (in the easiest examples) and using a calculator (in more complex examples).

Timingmc8f330dc7ed33927_1528449068082_0Timing

45 minutes

General objectivemc8f330dc7ed33927_1528449523725_0General objective

Performing uncomplicated calculations in mind or by column method in more difficult cases and the use of these skills in practical situations.

Specific objectivesmc8f330dc7ed33927_1528449552113_0Specific objectives

1. Column divisioncolumn divisionColumn division of natural numbers by multi‑digit numbers.

2. Column division of natural numbers by multi‑digit numbersmulti‑digit numbersmulti‑digit numbers with remainderremainderremainder.

3. Communicating in English, developing mathematics skills, scientific, technical and IT competences; developing learning skills.

Learning outcomesmc8f330dc7ed33927_1528450430307_0Learning outcomes

The Student:

- divides natural numbers by multi‑digit numbers in columns,

- divides natural numbers by multi‑digit numbers in columns with remainders.

Methodsmc8f330dc7ed33927_1528449534267_0Methods

1. Case study.

2. JIGSAW.

Forms of workmc8f330dc7ed33927_1528449514617_0Forms of work

1. Individual work.

2. Group work.

Lesson stages

Introductionmc8f330dc7ed33927_1528450127855_0Introduction

Students review the methods for column divisioncolumn divisioncolumn division of natural numbers by one‑digit numbers.

Proceduremc8f330dc7ed33927_1528446435040_0Procedure

[Slideshow] http://www.epodreczniki.pl/preview/reader/c/349039/v/2/t/student‑canon/m/izFWpxHx4H#izFWpxHx4H_d5e78

Students work individually using computers. They open the SLIDESHOW and observe how we divide natural numbers by two‑digit numbers in columns.

After finishing the task, they present the results of their observations:
- to divide a multi‑digit number by a two‑digit number, follow the same pattern as when performing column division by one‑digit numbers,
- we check the correctness of performed operations by means of multiplication.

The teacher divides students into groups of 3 to work with the JIGSAW method.

Each participant of the group receives a different task to solve.

After solving their tasks, students meet in groups that have solved the same task. They discuss solutions, clarify doubts and formulate the common conclusions.

Then they return to the initial groups and present solutions to other group members.

Task 1
Perform column divisioncolumn divisioncolumn division of natural numbers using the previously learned patterns. Check the correctness of the operations performed by means of column multiplication. Write down your conclusions.
- 7 310: 215
- 8 304: 346

Task 2
Perform column division of natural numbers using the previously learned patterns. Check the correctness of the operations performed by means of column multiplication. Write down your conclusions.
- 66 136: 215
- 7,324: 305

Task 3
Perform column division of natural numbers using the previously learned patterns. Check the correctness of the operations performed by means of column multiplication. Write down your conclusions.
- 3 400 : 290
- 988 000 : 11 100

The teacher assesses the students' work and clarifies the doubts. Together, they formulate conclusions resulting from the exercises.

Conclusions:

- to divide a multi‑digit number by a three‑digit number, follow the same pattern as when dividing by one‑digit or two‑digit numbers,
- we check the correctness of performed operation by means of multiplication,
- if the dividend and divisor end with zeros, when dividing, the same number of final zeros can be omitted in both numbers. The result will not change,
- if we divide with the remainder, we must add the same number of zeros to the remainder obtained, as we crossed out in the dividend.mc8f330dc7ed33927_1527752256679_0- to divide a multi‑digit number by a three‑digit number, follow the same pattern as when dividing by one‑digit or two‑digit numbers,
- we check the correctness of performed operation by means of multiplication,
- if the dividend and divisor end with zeros, when dividing, the same number of final zeros can be omitted in both numbers. The result will not change,
- if we divide with the remainder, we must add the same number of zeros to the remainder obtained, as we crossed out in the dividend.

Students work in pairs, using the acquired skills to solve word problems.

1. PLN 1104 was paid for sports shoes for new players. How many players joined the team if one pair of shoes cost 138 zlotys?
2. Tosia worked during her holidays. She worked 54 hours and received 810 zloty. How much was she paid for an hour of work?

The teacher assesses the students' work and clarifies the doubts.

An extra task:

Calculate how many times the number a is greater than the number b if you know that:

the number a is 254 less than the number 1128, and the number b is 5264 greater than the number 5224.

Lesson summarymc8f330dc7ed33927_1528450119332_0Lesson summary

Students do the revision exercises.

They summarize the lesson and formulate conclusions to remember.

- to divide a natural number by a multi‑digit number, follow the same pattern as when dividing by one‑digit numbers,
- we check the correctness of performed operations by means of multiplication,
- if the dividend and divisor end with zeros, when dividing, the same number of final zeros can be omitted in both numbers. The result will not change,
- if we divide with the remainder, we must add the same number of zeros to the remainder obtained, as we crossed out in the dividend.mc8f330dc7ed33927_1527752263647_0- to divide a natural number by a multi‑digit number, follow the same pattern as when dividing by one‑digit numbers,
- we check the correctness of performed operations by means of multiplication,
- if the dividend and divisor end with zeros, when dividing, the same number of final zeros can be omitted in both numbers. The result will not change,
- if we divide with the remainder, we must add the same number of zeros to the remainder obtained, as we crossed out in the dividend.

Selected words and expressions used in the lesson plan

column divisioncolumn divisioncolumn division

division with numbers containing zerosdivision with numbers containing zerosdivision with numbers containing zeros

dividenddividenddividend

divisordivisordivisor

remainderremainderremainder

multi‑digit numbersmulti‑digit numbersmulti‑digit numbers

mc8f330dc7ed33927_1527752263647_0

mc8f330dc7ed33927_1527752256679_0

mc8f330dc7ed33927_1528449000663_0

mc8f330dc7ed33927_1528449084556_0

mc8f330dc7ed33927_1528449076687_0

mc8f330dc7ed33927_1528449068082_0

mc8f330dc7ed33927_1528449523725_0

mc8f330dc7ed33927_1528449552113_0

mc8f330dc7ed33927_1528450430307_0

mc8f330dc7ed33927_1528449534267_0

mc8f330dc7ed33927_1528449514617_0

mc8f330dc7ed33927_1528450135461_0

mc8f330dc7ed33927_1528450127855_0

mc8f330dc7ed33927_1528446435040_0

mc8f330dc7ed33927_1528450119332_0

column division1

multi‑digit numbers 1

remainder1

division with numbers containing zeros1

dividend1

divisor1

Scenariusz

Topicmc8f330dc7ed33927_1528449000663_0Topic

Lesson stages

Selected words and expressions used in the lesson plan