Topicm341a8529489774e5_1528449000663_0Topic

Comparing using quotients. How many times morehow many times moreHow many times more? How many times lesshow many times lessHow many times less?

Levelm341a8529489774e5_1528449084556_0Level

Second

Core curriculumm341a8529489774e5_1528449076687_0Core curriculum

I. Natural numbers in the decimal numeral system. The student:

3) compares natural numbers.

II. Operations on natural numbers. The student:

6) compares natural numbers using its difference or quotientquotientquotient.

Timingm341a8529489774e5_1528449068082_0Timing

45 minutes

General objectivem341a8529489774e5_1528449523725_0General objective

Performing simple calculations in memory or more difficult operations using the long methods, and applying this skills in practical situations.

Specific objectivesm341a8529489774e5_1528449552113_0Specific objectives

1. Comparing natural numbers using their quotientquotientquotient.

2. Comparing numbers using quotient to solve text exercises.

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

Learning outcomesm341a8529489774e5_1528450430307_0Learning outcomes

1. Compares natural numbers using their quotientquotientquotient.

2. Compares numbers using quotient to solve text exercises.

Methodsm341a8529489774e5_1528449534267_0Methods

1. Discussion.

2. Task stations.

Forms of workm341a8529489774e5_1528449514617_0Forms of work

1. Individual work.

2. Group work.

Lesson stages

Introductionm341a8529489774e5_1528450127855_0Introduction

Discussion – how to compare natural numbers? Students revise the concepts: a greater numbernumbernumber, a smallersmallersmaller number, a number greater by 3, a numbernumbernumber smallersmallersmaller by 5.

They do exercises to memorise these concepts.

Task
Insert proper signs in the dotted spaces: <smaller than symbol (<)<, >greater than symbol (>)> or =equals sign (=)=

a) 10 ……… 4,

b) 96 ……… 12,

c) 10 ……… 163,

d) 42 ……… 45.

Task
Find a numbernumbernumber that meets the following conditions:

a) is greater than 16 by 4,

b) is smallersmallersmaller than 25 by 3,

c) is greater than 48 by 10,

d) is smaller than 57 by 12.

Procedurem341a8529489774e5_1528446435040_0Procedure

Task
Students work individually, using computers. They open the SLIDESHOW and observe the examples of terms ‘how many times morehow many times morehow many times more?’, ‘how many times lesshow many times lesshow many times less?’ Their task is to write down proper operations for presented situations.

After having completed the exercise, students present their results.

[Slideshow]

Conclusions:

- If in the exercise there is the phrase ‘how many times more’, then in the solution we do multiplication.
- If in the exercise there is the phrase ‘how many times less’, then in the solution we do division.m341a8529489774e5_1527752263647_0- If in the exercise there is the phrase ‘how many times more’, then in the solution we do multiplication.
- If in the exercise there is the phrase ‘how many times less’, then in the solution we do division.

Task stations:

 Students work with the method of task stations. In groups, they solve tasks prepared earlier by the teacher.

Each group gets points for correct solutions and the time of doing exercises.

The best group gets the highest marks.

Station 1. Task
Fill in the table:

[Table 1]

Station 2. Task
Fill in the table:

[Table 2]

Station 3. Task
Finish the sentences:

a) A numbernumbernumber 5 times greater than 16 is ………

b) A number 2 times greater than 48 is ………

c) A number 3 times smallersmallersmaller than 60 is ………

d) A numbernumbernumber 4 times greater than 64 is ………

Station 4. Task
In the picture, there are three towers made of blocks.

[Illustration 1]

Fill in the sentences, based on the picture:

a) The first tower is made of ………… blocks and is ………… times ………… than the third tower, that is made of ………… blocks.

b) The fourth tower is made of ………… blocks and is ………… times ………… than the third tower, that is made of ………… blocks.

c) The third tower is made of ………… blocks and is ………… times ………… Than the fourth tower and is ………… times ………… Than the first tower.

Station 5. Task
Do the tasks below. Write the calculations and the answer:

a) One side of the rectangle is 12 cm long and the other is three times shorter. Give the length of the other side of the rectangle.

b) Tomek has 150 PLN saved and Maciek has two times more. How many savings does Maciek have?

c) Sir Wojtek has 3 litres of paint. In order to paint the room he needs five times more. How many litres does he need to paint the room?

Groups present the results of their work. The teacher clarifies the doubts and grades the groups’ work.

An extra task
Krzyś has 20 cars. Piotruś has two times more cars than Krzyś, but three times less than Franek. How many cars does Franek have?m341a8529489774e5_1527752256679_0Krzyś has 20 cars. Piotruś has two times more cars than Krzyś, but three times less than Franek. How many cars does Franek have?

Lesson summarym341a8529489774e5_1528450119332_0Lesson summary

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

- If in the exercise there is the phrase ‘how many times more’, then in the solution we do multiplication.
- If in the exercise there is the phrase ‘how many times less’, then in the solution we do division.m341a8529489774e5_1527752263647_0- If in the exercise there is the phrase ‘how many times more’, then in the solution we do multiplication.
- If in the exercise there is the phrase ‘how many times less’, then in the solution we do division.

Selected words and expressions used in the lesson plan

comparing using the quotientcomparing using the quotientcomparing using the quotient

equals sign (=)equals sign (=)equals sign (=)

greater than symbol (>)greater than symbol (>)greater than symbol (>)

how many times lesshow many times lesshow many times less

how many times morehow many times morehow many times more

numbernumbernumber

productproductproduct

quotientquotientquotient

smallersmallersmaller

smaller than symbol (<)smaller than symbol (<)smaller than symbol (<)