Topicm53573bd06f958111_1528449000663_0Topic

Different and quotient comparison

Levelm53573bd06f958111_1528449084556_0Level

Second

Core curriculumm53573bd06f958111_1528449076687_0Core curriculum

I. Natural numbers of the decimal natural system . The student:

3) compares the natural numbers;

II. Operations on the natural numbers. The student:

6) compares the natural numbers by using the difference or quotient.

Timingm53573bd06f958111_1528449068082_0Timing

45 minutes

General learning objectivesm53573bd06f958111_1528449523725_0General learning objectives

Reading, interpreting and processing data presented in various forms.

Key competencesm53573bd06f958111_1528449552113_0Key competences

1. Difference comparison of the natural numberscomparison of the natural numberscomparison of the natural numbers.

2. Quotient comparisonquotient comparisonQuotient comparison of the natural numbers.

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

Operational (detailed) goalsm53573bd06f958111_1528450430307_0Operational (detailed) goals

The student:

- compares the natural numbers,

- answers the following questions: How muchhow much?How much more? How much less? How many timeshow many times?How many times more? How many times less?

Methodsm53573bd06f958111_1528449534267_0Methods

1. Brain storming.

2. Situational analysis.

Forms of workm53573bd06f958111_1528449514617_0Forms of work

1. Individual work.

2. Pair work.

Lesson stages

Introductionm53573bd06f958111_1528450127855_0Introduction

Every student prepares the measure tape and brings it for the lesson. It will be used during the summarising tasks.

The students revise the comparison of the natural numberscomparison of the natural numberscomparison of the natural numbers.

Procedurem53573bd06f958111_1528446435040_0Procedure

The teacher introduces the topic of the lesson: comparing the natural numbers by using the difference and the quotient.

Task 1

The students work individually using their computers. They are going to analyse the interactive illustration concerning the difference and quotient comparisonquotient comparisonquotient comparison.

a) Difference comparisondifference comparisonDifference comparison of natural numbers.

The drawing presents the girl and her father.

[Interactive graphics 1]

b) Quotient comparison of numbers.

The drawing presents the price of goods in the shop.

[Interactive graphics 2]

Discussion: What should be done to carry out the difference comparisondifference comparisondifference comparison of two numbers? What should be done to carry out the quotient comparisonquotient comparisonquotient comparison of two numbers?

The students should draw the following conclusions:

- When we carry out the difference comparison of two numbers we use the subtraction.
- When we carry out the quotient comparison of two numbers we use the quotient. 

On the basis of gained information the students complete the following tasks.

Task 2

Drawing A presents the parrots sitting on the fence and in drawing B we can see the parrots sitting on a tree.

[Illustration 1]

How muchhow much?How much less parrots sit on the fence in comparison to the tree?

How many timeshow many times?How many times more parrots sit on the tree in comparison to the fence?

The students work in pairs solving the tasks.

Task 3

Darek is nine, his sister is 8 years older. Marcin is 12 years old, his sister is 6 years older. Which sister is older and how many years more?

Task 4

Caroline has bought 17 sweets, Mary has bought four times more. How many sweets have they bought together? How much more sweets has Mary bought?m53573bd06f958111_1527752263647_0Caroline has bought 17 sweets, Mary has bought four times more. How many sweets have they bought together? How much more sweets has Mary bought?

Task 5

Adam has got two horses: the bay and the black ones and a hen. The hen weights 2 kilos. The total weight of the horses is 800 times more than the weight of the hen. The weight of the black and bay horses are the same.
a) How much does the black horse weight?
b) How many more times does the bay horse weight in comparison to the hen?
c) How much less does the hen weight in comparison to the black horse?m53573bd06f958111_1527752256679_0Adam has got two horses: the bay and the black ones and a hen. The hen weights 2 kilos. The total weight of the horses is 800 times more than the weight of the hen. The weight of the black and bay horses are the same.
a) How much does the black horse weight?
b) How many more times does the bay horse weight in comparison to the hen?
c) How much less does the hen weight in comparison to the black horse?

An extra task:

Darek, Adam and Paweł have written one natural number on the sheet of paper. The number written by Paweł was 30 times largerlargerlarger than the number of Darek. And the number written by Darek is less by 30 in comparison to Adam’s number. What number has Adam written down if Paweł has written the number of 4500?

Lesson summarym53573bd06f958111_1528450119332_0Lesson summary

The students do the summarising tasks. 

Then they sum up the class drawing the conclusions to memorise:

- When we carry out the difference comparisondifference comparisondifference comparison of two numbers we use the subtraction.

- When we carry out the quotient comparisonquotient comparisonquotient comparison of two numbers we use the quotient.

Selected words and expressions used in the lesson plan

how many times?how many times?how many times?

how much?how much? how much?

perimeterperimeterperimeter

smallersmallersmaller

areaareaarea

largerlargerlarger

quotient comparisonquotient comparisonquotient comparison

difference comparisondifference comparisondifference comparison

comparison of the natural numberscomparison of the natural numberscomparison of the natural numbers