Topicmc29f143e4fc4b99c_1528449000663_0Topic

Units of the area and their conversion

Levelmc29f143e4fc4b99c_1528449084556_0Level

Second

Core curriculummc29f143e4fc4b99c_1528449076687_0Core curriculum

XI. Calculation in geometry. The student:

3) uses the units of the areaunits of the areaunits of the area: mmIndeks górny 2², cmIndeks górny 2², dmIndeks górny 2², mIndeks górny 2², kmIndeks górny 2², areareare, hectarehectarehectare (without the conversion of the units in calculation);

Timingmc29f143e4fc4b99c_1528449068082_0Timing

45 minutes

General objectivemc29f143e4fc4b99c_1528449523725_0General objective

Matching the mathematical model to a simple situation and using it in various contexts.

Specific objectivesmc29f143e4fc4b99c_1528449552113_0Specific objectives

1. Calculating the area of the figurefigurefigure.

2. Converting the units of the area.

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

Learning outcomesmc29f143e4fc4b99c_1528450430307_0Learning outcomes

The student:

- calculates of the area of the figure made of the unit squares,

- chooses the appropriate unit to measure the area of the figurefigurefigure.

Methodsmc29f143e4fc4b99c_1528449534267_0Methods

1. Talk.

2. Situational analysis.

Forms of workmc29f143e4fc4b99c_1528449514617_0Forms of work

1. Individual work.

2. Class work.

Lesson stages

Introductionmc29f143e4fc4b99c_1528450127855_0Introduction

The teacher introduces the topic of the lesson: revising the notion of the area of the figurefigurefigure and discovering the basic units of the areaunits of the areaunits of the area.

The students work in groups. Each of them gets ten identical squares which are used to construct a figure.

After completing the task the students discuss which figurefigurefigure has the largest area and explain why is that.

Examples of the figures made of ten squares.

Students look at pictures.

Conclusion:

Let’s take one square as a unit of the area.

All figures consist of ten identical squares so all of them have got the same area.

Revision of the basic units of the area.

Proceduremc29f143e4fc4b99c_1528446435040_0Procedure

Today the students are going to develop their skills of converting the units of the areaunits of the areaunits of the area.

[Slideshow]

The students work individually using their computers. They are going to watch the method of converting the larger units of the area into the smaller ones.

They come up with the conclusion:

1 cmIndeks górny 2² = 100 mmIndeks górny 2²

1 dmIndeks górny 2² = 100 cmIndeks górny 2²

1 mIndeks górny 2² = 100 dmIndeks górny 2²

1 a = 100 mIndeks górny 2²

1 ha = 10 000 mIndeks górny 2²

1 kmIndeks górny 2² = 100 ha

Task 1

Students complete the equalities:

a) 23 a = … mIndeks górny 2²
b) 7 ha = … mIndeks górny 2²
c) 1,4 a = … mIndeks górny 2²
d) 6,3 ha = … mIndeks górny 2²

They complete the tasks.

Task 2

Complete.

a) 6 dmIndeks górny 2² = … cmIndeks górny 2²
b) … mIndeks górny 2² = 2 kmIndeks górny 2²
c) 1,2 cmIndeks górny 2² = … mmIndeks górny 2²
d) … dmIndeks górny 2² = 370 cmIndeks górny 2²
e) … ha = 600 a

Task 3

Answer the following questions:

a) How many squares with the area of 1 cmIndeks górny 2² are needed to construct the square with the area of 1 kmIndeks górny 2²?
b) How many squares with the area of 1 mmIndeks górny 2² each are needed to construct the square with the area
of 1 mIndeks górny 2²?
c) How many squares with the area of 1 dmIndeks górny 2² are needed to construct the square with the area of 1 a?mc29f143e4fc4b99c_1527752256679_0a) How many squares with the area of 1 cmIndeks górny 2² are needed to construct the square with the area of 1 kmIndeks górny 2²?
b) How many squares with the area of 1 mmIndeks górny 2² each are needed to construct the square with the area
of 1 mIndeks górny 2²?
c) How many squares with the area of 1 dmIndeks górny 2² are needed to construct the square with the area of 1 a?

The students analyse the drawing below. Three figures (each in different colour) were drawn in the square with the area of 1 dmIndeks górny 2².. What are the areas of the blue, green and orange figures? What part of the square is each of them?

[Illustration 1]

The students come up with the conclusion:

1 cmIndeks górny 2² = 0,01 dmIndeks górny 2²

Task 4

The students convert the units of the areaunits of the areaunits of the area.

a) 12 cmIndeks górny 2² = … dmIndeks górny 2²
b) 2 dmIndeks górny 2² = … mIndeks górny 2²
c) 312 a = ... ha
d) 12 cmIndeks górny 2² = … dmIndeks górny 2²
e) 456 ha = … kmIndeks górny 2²
f) 89 mmIndeks górny 2² = … mIndeks górny 2²

Conclusion:

1 dmIndeks górny 2² = 0.01 mIndeks górny 2²

1 mmIndeks górny 2² = 0.01 cmIndeks górny 2²

1 cmIndeks górny 2² = 0.0001 mIndeks górny 2²

1 a= 0.01 ha

1 ha = 0.01 kmIndeks górny 2²

1 mIndeks górny 2² = 0.01 a

Task 5

The area of the plot of the Nowak family is 0.6 ha, and area of the plot of the Kowalski family is 80 a. which plot is larger?mc29f143e4fc4b99c_1527752263647_0The area of the plot of the Nowak family is 0.6 ha, and area of the plot of the Kowalski family is 80 a. which plot is larger?

An extra task:

10 g of the phosphoric fertilizer is used per 1m2 of the land. How many tonnes of the fertilizer are needed to fertilise the field with the area of 1.5 ha?

Lesson summarymc29f143e4fc4b99c_1528450119332_0Lesson summary

The students do the summarising tasks .

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

1 cmIndeks górny 2² = 100 mmIndeks górny 2²

1 dmIndeks górny 2² = 100 cmIndeks górny 2²

1 mIndeks górny 2² = 100 dmIndeks górny 2²

1 a = 100 mIndeks górny 2²

1 ha = 10 000 mIndeks górny 2²

1 kmIndeks górny 2² = 100 ha

Selected words and expressions used in the lesson plan

figurefigurefigure

units of the areaunits of the areaunits of the area

square centimetresquare centimetresquare centimetre

square metresquare metresquare metre

areareare

square kilometresquare kilometresquare kilometre

square decimetresquare decimetresquare decimetre

square millimetresquare millimetresquare millimetre

hectarehectarehectare