Topicm66a6d10823327002_1528449000663_0Topic

Squares and cubes of natural numbers

Levelm66a6d10823327002_1528449084556_0Level

Second

Core curriculumm66a6d10823327002_1528449076687_0Core curriculum

II. Operations on natural numbers. Student:

10) calculates squares and cubes of natural numbers.

Timingm66a6d10823327002_1528449068082_0Timing

45 minutes

General objectivem66a6d10823327002_1528449523725_0General objective

Performing uncomplicated calculations in head or in more difficult operations in columns and the use of these skills in practical situations.

Specific objectivesm66a6d10823327002_1528449552113_0Specific objectives

1. Recognizing the relationship between multiplication and exponentiation.

2. Calculation of squares and cubes of natural numbers.

3. Communicating in English, developing mathematics skills, scientific, technical and IT competences; developing learning skills.

Learning outcomesm66a6d10823327002_1528450430307_0Learning outcomes

The student:

- student recognizes the relationship between multiplication and exponentiationexponentiationexponentiation,

- student calculates squares and cubes of natural numbers.

Methodsm66a6d10823327002_1528449534267_0Methods

1. Case study.

2. Comptetition.

Forms of workm66a6d10823327002_1528449514617_0Forms of work

1. Individual work.

2. Whole class.

Lesson stages

Introductionm66a6d10823327002_1528450127855_0Introduction

Students review the multiplication table. The teacher draws attention to the products of the same factors.

Procedurem66a6d10823327002_1528446435040_0Procedure

Students work individually using computers. They open slideshow and learn about exponentiationexponentiationexponentiation.

[Slideshow]

After finishing the task, they present the results of their observations:

- The product of the same factors can be written using an operation called exponentiationexponentiationexponentiation.

- A power denotation consists of the base of powerbase of powerbase of power and the exponent of powerexponent of powerexponent of power.

- The base of powerbase of powerbase of power determines what number we multiply, and the exponent - how many times the factor is multiplied.

Students take part in an individual task competition, solving tasks at four levels of difficulty.

Three students with the highest number of points receive excellent marks, three other ones - very good grades.

Level 1- each correct answer for 1 point

Combine product and power in pairs.

[Ex. 1]

Level 2- each correct answer for 2 points

Calculate.

a) 3Indeks górny 2²

b) 5Indeks górny 2²

c) 7Indeks górny 2²

d) 10Indeks górny 2²

e) 12Indeks górny 2²

Level 3- each correct answer for 3 points

Calculate.

a) 2Indeks górny 3³

b) 4Indeks górny 3³

c) 6Indeks górny 3³

d) 11Indeks górny 3³

Level 4 - each correct answer for 4 points

Write the natural number x that satisfies the given condition.m66a6d10823327002_1527752256679_0Write the natural number x that satisfies the given condition.

a) xIndeks górny 2² = 10 000

b) xIndeks górny 3³ = 125

The teacher assesses the students' work and clarifies all the doubts.

An extra task:

Calculate successively: 3Indeks górny 3³, 3Indeks górny 4⁴, 3Indeks górny 5⁵, 3Indeks górny 6⁶.

Lesson summarym66a6d10823327002_1528450119332_0Lesson summary

Students do the revision exercises.

Then they summarize the lesson together and formulate conclusions to remember:

- The product of the same factors can be written using an operation called exponentiation.
- A power consists of the base of power and the exponent of power.
- The base of power determines what number we multiply, and the exponent of power - how many times the factor is multiplied.m66a6d10823327002_1527752263647_0- The product of the same factors can be written using an operation called exponentiation.
- A power consists of the base of power and the exponent of power.
- The base of power determines what number we multiply, and the exponent of power - how many times the factor is multiplied.

Selected words and expressions used in the lesson plan

base of powerbase of powerbase of power

exponent of powerexponent of powerexponent of power

exponentiationexponentiationexponentiation

number cubednumber cubednumber cubed

number squarednumber squarednumber squared