Topicm1dc4dda2be6b9947_1528449000663_0Topic

Sets of points in the coordinate system

Levelm1dc4dda2be6b9947_1528449084556_0Level

Second

Core curriculumm1dc4dda2be6b9947_1528449076687_0Core curriculum

X. The number line. The coordinate system on a planeplaneplane. The student:

2) finds coordinates of points (in the drawing) marked on the coordinate system on a planeplaneplane;

3) draws points of given, integer coordinates (of any sign) on the coordinate system.

Timingm1dc4dda2be6b9947_1528449068082_0Timing

45 minutes

General objectivem1dc4dda2be6b9947_1528449523725_0General objective

Interpreting and creating texts with mathematical context and presenting data graphically.

Specific objectivesm1dc4dda2be6b9947_1528449552113_0Specific objectives

1. Marking sets of points in the coordinate system.

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

Learning outcomesm1dc4dda2be6b9947_1528450430307_0Learning outcomes

The student:

- marks sets of points in the coordinate system.

Methodsm1dc4dda2be6b9947_1528449534267_0Methods

1. Discussion.

2. JIGSAW.

Forms of workm1dc4dda2be6b9947_1528449514617_0Forms of work

1. Individual work.

2. Group work.

Lesson stages

Introductionm1dc4dda2be6b9947_1528450127855_0Introduction

The teacher introduces the subject of the lesson – marking sets of points of given properties in the coordinate system.

Procedurem1dc4dda2be6b9947_1528446435040_0Procedure

Example

Students mark a set of pointsset of pointsset of points in the coordinate system, whose ordinate is two times greater than the abscissa.

They answer the questions:

1. In which quadrants of the coordinate system there are points that satisfy this condition?

2. What figure do such points create?

3. What figure is created by points whose ordinate is two times greater than the abscissa?

They check their answers by using the following applet.

[Geogebra applet]

Students’ conclusion

- We can mark sets of points that create for example a line or a half‑plane in the coordinate system.m1dc4dda2be6b9947_1527752263647_0We can mark sets of points that create for example a line or a half‑plane in the coordinate system.

Students work using the JIGSAW method.

The teacher divides students into 4 persons groups. 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
In the coordinate system, mark ten points whose second coordinate is equal to 7. What figure will you obtain after connecting these points? How to describe the relation between these points? 

Task 2
In the coordinate system, mark ten points whose first coordinate is equal to -5. What figure will you obtain after connecting these points? How to describe the relation between these points?

Task 3
In the coordinate system, mark ten points whose coordinates are opposite numbers. What figure will you obtain after connecting these points? How to describe the relation between these points? 

Task 4
In the coordinate system, mark ten points whose second coordinate is greater than the first coordinate by 3. What figure will you obtain after connecting these points? How to describe the relation between these points? 

The teacher sums‑up students’ work and clarifies doubts.

An extra task:
In the coordinate system, mark the set of pointsset of pointsset of points (x; y) whose coordinates satisfy the condition $0\le x\le 4$ and $0\le y\le 6$.

Lesson summarym1dc4dda2be6b9947_1528450119332_0Lesson summary

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

- We can mark sets of points that create for example a linelineline or a half‑planehalf‑planehalf‑plane in the coordinate system.

Selected words and expressions used in the lesson plan

half‑planehalf‑planehalf‑plane

linelineline

planeplaneplane

quadrant of the coordinate sysemquadrant of the coordinate sysemquadrant of the coordinate sysem

set of pointsset of pointsset of points