Topicm0b24f78815fcb59f_1528449000663_0Topic

Position of the piece on the chessboard

Levelm0b24f78815fcb59f_1528449084556_0Level

Second

Core curriculumm0b24f78815fcb59f_1528449076687_0Core curriculum

X. The number line. The coordinate system in a plane. The student:

2) finds the coordinates of the grid given in the drawing in the coordinate system in the plane;

3) draws the grids with given integer coordinates (of any sign) in the coordinate system in the plane.

Timingm0b24f78815fcb59f_1528449068082_0Timing

45 minutes

General objectivem0b24f78815fcb59f_1528449523725_0General objective

Interpreting and creating mathematical texts and presenting data graphically.

Specific objectivesm0b24f78815fcb59f_1528449552113_0Specific objectives

1. Reading the positionpositionposition of the point in the plane.

2. Specifying the point whose position is described by an ordered pair of coordinates in the plane.

3. Communicating in English; developing mathematical and basic scientific, technical and digital competences; developing learning skills.

Learning outcomesm0b24f78815fcb59f_1528450430307_0Learning outcomes

The student:

- specifies the coordinates of the pieces on the chessboardchessboardchessboard and the coordinates of the point on the Battleship grid,

- marks the position of the piece of given coordinates on the chessboard, marks the point with given coordinates on the Battleship grid.

Methodsm0b24f78815fcb59f_1528449534267_0Methods

1. Learning game.

2. Situational analysis.

Forms of workm0b24f78815fcb59f_1528449514617_0Forms of work

1. Individual work.

2. Pair work.

Lesson stages

Introductionm0b24f78815fcb59f_1528450127855_0Introduction

The students bring the squared paper for the lesson. He draws a square with the side length of 8 units. The vertical lines of the net are marked with letters A – H and the horizontal lines are marked with the numbers 1‑8.

The student also brings the squared paper with two squares drawn next to each other. The sides of the squares are 10 units long. The vertical lines of the net are marked with letters A‑J and the horizontal ones are marked with the numbers 1‑10.

Procedurem0b24f78815fcb59f_1528446435040_0Procedure

The teacher informs the students they are going to describe and mark the coordinates of the piece on the chessboard and the coordinates of the pointpointpoint on the BattleshipbattleshipBattleship grid.

ChesschessChess is a board game which has been known since the mid of the 16th century. It is played by two players who use the chessboard with 64 grids and a set of the pawns and chess figures.

[Illustration 1]

Each of the squares of the chessboard is described by using and ordered pair whose first element is a letter and the second is a number. These elements are called the coordinates.
Position D4 means the square which is situated at the intersection of the column marked with D and the line marked with 4.m0b24f78815fcb59f_1527752256679_0Each of the squares of the chessboard is described by using and ordered pair whose first element is a letter and the second is a number. These elements are called the coordinates.
Position D4 means the square which is situated at the intersection of the column marked with D and the line marked with 4.

[Illustration 2]

On the basis of this information the students describe the positionpositionposition of the piecepiecepiece on the board.

Task 1

Describe the position of the pieces on the chessboardchessboardchessboard.

[Illustration 3]

Task 2

Open the applet and place the piece in the indicated square.

[Geogebra applet]

The students work using the squared paper with the square of 8 units drawn on it.

Task 3

Prepare the square of 8 units and colour the fields with given coordinates: C1, A5, F2, H8, D3.

In pairs the students play BattleshipbattleshipBattleship. They use a piece of paper with two squares with the sides of 10 grids drawn on it. On the left square the students draw the ships whose positionpositionposition will be guessed by the other student. The ships are placed vertically or horizontally. They cannot touch each other with their sides or the vertices. Each student is going to draw:

- one battleship /a four‑decker made of four squares,
- two cruisers /a three‑decker, each made of three squares,
- three destroyers /a two‑decker, each made of two squares,
- four submarines /a single‑decker, each made of one square.

On the right square the student ticks the “Hit “ ships of the opponent and the shots he has make.

Task 4

Play BattleshipbattleshipBattleship. The player announces the target square in the opponent's grid which is to be shot at by giving a pair of coordinates, e.g. A1.

If the ship is on the chosen square the opponent says “Hit” and you can continue the shooting by giving the next coordinates. If, as the result of the shots, all squares of the ship are destroyed the opponents says “Hit and sunk”.

If the square with given coordinates is empty the opponent says “Miss” and you change turns. The winner is the person who destroys the opposing player's fleet.

An extra task:

Find out the way of moving the knightknightknight. Place the knight on square E5. Give all possible positions of the piece in first move.

Lesson summarym0b24f78815fcb59f_1528450119332_0Lesson summary

Students do the summarising exercise.

Then together they sum up the classes drawing the conclusions to memorise:

- the position of the point in the plane can be described by using an ordered pair of the coordinates, for example the letter and the number.m0b24f78815fcb59f_1527752263647_0- the position of the point in the plane can be described by using an ordered pair of the coordinates, for example the letter and the number.

Selected words and expressions used in the lesson plan

battleshipbattleshipbattleship

bishopbishopbishop

chesschesschess

chessboardchessboardchessboard

coordinatecoordinatecoordinate

knightknightknight

piecepiecepiece

pointpointpoint

positionpositionposition

queenqueenqueen