Topicmaa343f5f91e73b30_1528449000663_0Topic

Improving the ability to write and read the Roman numeralsRoman numeralsRoman numerals

Levelmaa343f5f91e73b30_1528449084556_0Level

Second

Core curriculummaa343f5f91e73b30_1528449076687_0Core curriculum

I. Natural numbers in the decimal positional system. Student:

5) converts numbers in the range up to 3,000 presented in the Roman systemRoman systemRoman system into the decimal system, and vice versa.

Timingmaa343f5f91e73b30_1528449068082_0Timing

45 minutes

General learning objectivesmaa343f5f91e73b30_1528449523725_0General learning objectives

Reading and interpreting data presented in various forms and its processing.

Key competencesmaa343f5f91e73b30_1528449552113_0Key competences

1. Converting Roman numeralsRoman numeralsRoman numerals into decimals - improvement of skills.

2. Converting decimals into Roman numeralsRoman numeralsRoman numerals - improvement of skills.

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

Operational (detailed) goalsmaa343f5f91e73b30_1528450430307_0Operational (detailed) goals

The student:

- improves skills of converting Roman numeralsRoman numeralsRoman numerals into decimals,

- improves skills of converting decimals into Roman numeralsRoman numeralsRoman numerals.

Methodsmaa343f5f91e73b30_1528449534267_0Methods

1. Case study.

2. Didactic game.

Forms of workmaa343f5f91e73b30_1528449514617_0Forms of work

1. Individial work.

2. Group work.

Lesson stages

Introductionmaa343f5f91e73b30_1528450127855_0Introduction

Students review what they know about the Roman numeralsRoman numeralsRoman numerals. They can, for example, present posters prepared by themselves in the previous lesson.

Proceduremaa343f5f91e73b30_1528446435040_0Procedure

Students work individually using computers. Their task is to do three tasks:

- matching Roman numeralsRoman numeralsRoman numerals to the numbers written in the Arabic systemArabic systemArabic system,

- converting a Roman number to the Arabic number,

- converting an Arabic number to the Roman numeral.

[Geogebra applet]

Didactic game - task tables

The teacher arranges four students’ desks in four rows. He/ she divides students into four groups. The group can proceed to the next desk after the task has been properly completed. There is a bonus on the board - additional pluses for activity, for the group that reach their destination the fastest.

Task 1
Arrange the sticks as shown in the picture. Then, rearrange one stick, so that you get the true value.

1) X + I = X

2) III + II = IV

3) V - V = V

4) XI + VII = V

5) XX - VI = XVI

Task 2

Task 3

Task 4
The grid below is a Sudoku with Roman numeralsRoman numeralsRoman numerals. Your task is to fill the blank spaces in a way that every single row, each column and each distinguished rectangle has exactly one Roman numeral. Use the numbers presented in the table.

[SUDOKU]

The teacher summarizes and evaluates students’ work. Students who finished the task first receive excellent grades for activity.

An extras task:
In a magic square, the sum of the numbers written along each diagonal, each column and each row is the same. Numbers cannot be repeated.

Complete the figure with Roman numeralsRoman numeralsRoman numerals to represent the magic square.

[Magic squere]

Lesson summarymaa343f5f91e73b30_1528450119332_0Lesson summary

Students do the revision exercises.

Together they formulate conclusions to remember:

- To present numbers in the Roman systemRoman systemRoman system, we use seven numerals: I - 1, V - 5, X - 10, L - 50, C - 100, D - 500, M - 1000.

- To write a number, we use three identical symbols maximum: I, X, C, M.

- We do not write two identical symbols from each other: V, L, D.

- If the symbols appear in descending order or are equal, then we will add the corresponding symbols to these symbols.

- If there is a symbol for a smaller number before the symbol denoting a larger number, then the smaller one is subtracted from the larger value.maa343f5f91e73b30_1527752263647_0If there is a symbol for a smaller number before the symbol denoting a larger number, then the smaller one is subtracted from the larger value.

- There may be only one character for a smaller number before the larger number.maa343f5f91e73b30_1527752256679_0There may be only one character for a smaller number before the larger number.

Selected words and expressions used in the lesson plan

Arabic systemArabic systemArabic system

Roman numbersRoman numbersRoman numbers

Roman numeralsRoman numeralsRoman numerals

Roman systemRoman systemRoman system

rules for presenting Roman numbersrules for presenting Roman numbersrules for presenting Roman numbers