Topicma39cbcf8201580ed_1528449000663_0Topic

Column division by one‑digit numbers

Levelma39cbcf8201580ed_1528449084556_0Level

Second

Core curriculumma39cbcf8201580ed_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).

Timingma39cbcf8201580ed_1528449068082_0Timing

45 minutes

General objectivema39cbcf8201580ed_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 objectivesma39cbcf8201580ed_1528449552113_0Specific objectives

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

2. Column division of natural numbers by one‑digit numbers with remainder.

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

Learning outcomesma39cbcf8201580ed_1528450430307_0Learning outcomes

The Student:

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

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

Methodsma39cbcf8201580ed_1528449534267_0Methods

1. Discussion.

2. Case study.

Forms of workma39cbcf8201580ed_1528449514617_0Forms of work

1. Whole class.

2. Individual work.

Lesson stages

Introductionma39cbcf8201580ed_1528450127855_0Introduction

Students revise the information about division of natural numbers.

Task

Solve the problem:

A grandfather gave his grandchildren Kasia and Tomek PLN 386.
How should children divide the money between themselves so that each of them has the same amount?
How to make such a division if the amount received from the grandfather is greater?
How to do this if there are more children to receive the money?ma39cbcf8201580ed_1527752263647_0A grandfather gave his grandchildren Kasia and Tomek PLN 386.
How should children divide the money between themselves so that each of them has the same amount?
How to make such a division if the amount received from the grandfather is greater?
How to do this if there are more children to receive the money?

Discussion - is it easy to divide large numbers in your head? In what cases do we talk about division with the remainder? How to do these operations without a calculator?

The teacher informs students that during the lesson they will learn the most common method of division in columns.

Procedurema39cbcf8201580ed_1528446435040_0Procedure

[Slideshow]

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

After finishing the task, they present the results of their observations:
- to divide a multi‑digit number by a one‑digit number we write the dividenddividenddividend and thedivisordivisordivisorside by side, we draw a line above the dividend,
- we divide the dividend digits sequentially by the one‑digit number, starting with the number of the highest order,
- we write down the result under the line in the appropriate rows.

The teacher distributes worksheets. Students work individually. They perform calculations using the learned methods. They answer questions and formulate conclusions.

Student worksheet

1. Perform the division using the grids provided.
a) 74: 5
b) 986: 4
c) 4690: 7

[Illustration 1]

2. What pattern analogous to previous operations, can be noticeed in example c?

3. How can we check the correctness of the performed operations without using a calculator?

4. Do the column divisioncolumn divisioncolumn division and check the correctness of the operations.
a) 785: 5
b) 854: 6
c) 2584: 4

5. Solve the following word problems: write down the appropriate operations and check if they are correct. Write down the solutions.
a) Kasia brought candies to school and shared them with her three friends. How many candies did each girl get, if Kasia had 48 candies in her purse?
b) For 6 days the cyclist rode 215 km. Calculate how many kilometers he/she travelled every day, if it is known that for the first five days he/ she travelled the same distance, and on the last day he/ she travelled the shortest distance.

Pupils discuss their tasks, clarify doubts and provide answers to questions.

Conclusions:
- we check the correctness of the division using multiplication.

The teacher summarizes the students' work, and marks students’ activity with grades.

An extra task:

Find the number x if
1692: x = 564

Lesson summaryma39cbcf8201580ed_1528450119332_0Lesson summary

Students do the revision tasks.

They summarise the lesson and formulate conclusions to remember.

- to divide a multi‑digit number by a one‑digit number we write the dividend and the divisor side by side, we draw a line above the dividend,
- we divide the dividend digits sequentially by the one‑digit number, starting with the number of the highest order,
- we write down the result under the line in the appropriate rows,
- we check the correctness of the division using multiplication.ma39cbcf8201580ed_1527752256679_0- to divide a multi‑digit number by a one‑digit number we write the dividend and the divisor side by side, we draw a line above the dividend,
- we divide the dividend digits sequentially by the one‑digit number, starting with the number of the highest order,
- we write down the result under the line in the appropriate rows,
- we check the correctness of the division using multiplication.

Selected words and expressions used in the lesson plan

one‑digit numbersone‑digit numbersone‑digit numbers

column divisioncolumn divisioncolumn division

correctness of divisioncorrectness of divisioncorrectness of division

division with remainderdivision with remainderdivision with remainder

division with no remianderdivision with no remianderdivision with no remiander

dividenddividenddividend

divisordivisordivisor

place or unityplace or unityplace or unity