Topicm079f027cd9e2fe3d_1528449000663_0Topic

Comparing: numbers, common fractionscommon fractionscommon fractions and decimal fractionsdecimal fractionsdecimal fractions

Levelm079f027cd9e2fe3d_1528449084556_0Level

Second

Core curriculumm079f027cd9e2fe3d_1528449076687_0Core curriculum

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

3) compares natural numbers.

IV. Common and decimal fractions. The student:

12) compares fractions (common and decimal).

Timingm079f027cd9e2fe3d_1528449068082_0Timing

45 minutes

General objectivem079f027cd9e2fe3d_1528449523725_0General objective

Using mathematical objects, interpreting mathematical concepts.

Specific objectivesm079f027cd9e2fe3d_1528449552113_0Specific objectives

1. Comparing natural numbers.

2. Comparing common and decimal fractions.

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

Learning outcomesm079f027cd9e2fe3d_1528450430307_0Learning outcomes

The student:

- compares natural numbers.

- compares common and decimal fractions.

Methodsm079f027cd9e2fe3d_1528449534267_0Methods

1. Talking cards.

2. Situation alanalysis.

Forms of workm079f027cd9e2fe3d_1528449514617_0Forms of work

1. Individual work.

2. Group work.

Lesson stages

Introductionm079f027cd9e2fe3d_1528450127855_0Introduction

Students discuss the rules of comparing numbers in pairs.

Procedurem079f027cd9e2fe3d_1528446435040_0Procedure

The teacher writes questions on the board:

1. How do we compare natural numbersnatural numbersnatural numbers?
2. How do we compare decimal fractionsdecimal fractionsdecimal fractions?
3. How do we compare common fractionscommon fractionscommon fractions?

The teacher puts boxes in different colours next to questions. Each pair of students gets three coloured pieces of paper (according to colours of the boxes). Students write down answers on pieces of paper and put them into proper boxes.

Three volunteers read answers from pieces of paper. Then all students together formulate rules of comparing numbers.

1. Out of two numbers marked on the number line, the one that is located farther from the zero is greater.
2. Out of two natural numbers, the one that has more digits is greater. If numbers have the same number of digits, we compare digits in each rows of both numbers, starting from the highest.
3. To compare two decimal fractions, we compare the whole parts first and then fraction parts.
4. If two common fractions have the same denominators, then the one that has a greater numerator is greater. If two fractions have the same numerators, then the one that has a smaller denominator is greater. If two fractions have different numerators and denominators, then we need to find the common numerator or denominator and then compare them.m079f027cd9e2fe3d_1527752263647_01. Out of two numbers marked on the number line, the one that is located farther from the zero is greater.
2. Out of two natural numbers, the one that has more digits is greater. If numbers have the same number of digits, we compare digits in each rows of both numbers, starting from the highest.
3. To compare two decimal fractions, we compare the whole parts first and then fraction parts.
4. If two common fractions have the same denominators, then the one that has a greater numerator is greater. If two fractions have the same numerators, then the one that has a smaller denominator is greater. If two fractions have different numerators and denominators, then we need to find the common numerator or denominator and then compare them.

Students work in pairs. They use obtained knowledge, do the exercises and discuss the solutions.

Task 1

Place numbers from the cloud in proper columns.m079f027cd9e2fe3d_1527752256679_0Place numbers from the cloud in proper columns.

[Illustration 1]

[Table 1]

Task 2

Give coordinates of points A, B, C, D and E presented on the number linenumber linenumber line.

Choose proper numbers from the table.

[Table 2]

[Illustration 2]

Task 3

Insert sign <, > or = in the place of … .

a) $2\frac{5}{12}...2\frac{5}{9}$

b) $3\frac{8}{25}...5\frac{3}{4}$

c) $\frac{56}{79}...\frac{55}{79}$

d) $4\frac{2}{3}...4\frac{3}{7}$

e) $\frac{4}{15}...\frac{3}{21}$

[Geogebra applet] 

Students work individually, using computers. Their task is to make three exercises based on arranging numbers in the increasing order.

Students present results of their work. The teacher clairifies doubts and award the most active students.

An extra task:

Give five numbers that are located on the number linenumber linenumber line between numbers: $4\frac{2}{7}$ and $4\frac{3}{7}$.

Lesson summarym079f027cd9e2fe3d_1528450119332_0Lesson summary

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

1. Out of two numbers marked on the number line, the one that is located farther from the zero is greater.
2. Out of two natural numbers, the one that has more digits is greater. If numbers have the same number of digits, we compare digits in each rows of both numbers, starting from the highest.
3. To compare two decimal fractions, we compare the whole parts first and then fraction parts.
4. If two common fractions have the same denominators, then the one that has a greater numerator is greater. If two fractions have the same numerators, then the one that has a smaller denominator is greater. If two fractions have different numerators and denominators, then we need to find the common numerator or denominator and then compare them.m079f027cd9e2fe3d_1527752263647_01. Out of two numbers marked on the number line, the one that is located farther from the zero is greater.
2. Out of two natural numbers, the one that has more digits is greater. If numbers have the same number of digits, we compare digits in each rows of both numbers, starting from the highest.
3. To compare two decimal fractions, we compare the whole parts first and then fraction parts.
4. If two common fractions have the same denominators, then the one that has a greater numerator is greater. If two fractions have the same numerators, then the one that has a smaller denominator is greater. If two fractions have different numerators and denominators, then we need to find the common numerator or denominator and then compare them.

Selected words and expressions used in the lesson plan

common fractionscommon fractionscommon fractions

comparing two common fractionscomparing two common fractionscomparing two common fractions

comparing two decimal fractionscomparing two decimal fractionscomparing two decimal fractions

comparing two natural number numbers that have the same number of digitscomparing two natural number numbers that have the same number of digitscomparing two natural number numbers that have the same number of digits

decimal fractionsdecimal fractionsdecimal fractions

greater natural numbergreater natural numbergreater natural number

natural numbersnatural numbersnatural numbers

number linenumber linenumber line