Topicmf67e35a151337245_1528449000663_0Topic

Applying equationsapplying equationsApplying equations to solve text exercises

Levelmf67e35a151337245_1528449084556_0Level

Second

Core curriculummf67e35a151337245_1528449076687_0Core curriculum

VI. Equations with one unknownunknownunknown. The student:

4) does text exercises using first degree equations with one unknownunknownunknown, including percentage calculations.

Timingmf67e35a151337245_1528449068082_0Timing

45 minutes

General objectivemf67e35a151337245_1528449523725_0General objective

Using mathematical objects, interpreting mathematical concepts.

Specific objectivesmf67e35a151337245_1528449552113_0Specific objectives

1. Doing text exercises using first degree equations with one unknownunknownunknown.

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

Learning outcomesmf67e35a151337245_1528450430307_0Learning outcomes

The student:

- Does text exercises using first degree equations with one unknownunknownunknown.

Methodsmf67e35a151337245_1528449534267_0Methods

1. Situational analysis

2. Individual task contest

Forms of workmf67e35a151337245_1528449514617_0Forms of work

1. Individual work

2. Group work

Lesson stages

Introductionmf67e35a151337245_1528450127855_0Introduction

The teacher introduces the subject of the lesson - applying equationsapplying equationsapplying equations to solve text exercises.

Students work in pairs. Each student creates a text exercises related with everyday life that his partner has to solve.

Proceduremf67e35a151337245_1528446435040_0Procedure

[Slideshow]

Students work individually, using computers. Their task is to analyse the solution of a text exercises and listing most important steps of the solution.

Students’ conclusions
Steps of doing a text exercises while using an equation:mf67e35a151337245_1527752256679_0Steps of doing a text exercises while using an equation:

- analysing the exercises

– identifying the givengivengiven and unknownunknownunknown,

- creating the equation,

- solving the equation,

- verifying the solution of the equation with the condition of the exercisemf67e35a151337245_1527752263647_0verifying the solution of the equation with the condition of the exercise,

- writing down the answer.

Individual task contest
Students do the contest tasks. They can look for necessary information in available knowledge sources, for example the Internet. They can go to the next level after verifying results from the previous level. Three students with the best time score get the highest marks, three following – second highest marks.

Task contest 1
In the isosceles trapezium the angle next to the longer base is 126Indeks górny o^o than the angle next to the shorter base. Find values of angles of this trapezium.

Task contest 2
A flower with a pot weigh 2,3 kg. A pot is 0,9 kg lighter from the flower. How much does the flower weigh and how much does the pot weigh?

Task contest 3
In Hania’s library books are located on three shelves. On the second shelf there are 3 books less than on the first one. On the third shelf there are two times more books than on the second shelf. How many books are on each shelf if overall there are 51 books?

Task contest 4
Agnieszka collects magnets and bookmarks. Together she has 170 items. If there were two times more bookmarks, there would be 20 bookmarks less than magnets. How many magnets and bookmarks does she have?

An extra task:
Find three consecutive even numbers, knowing that the sum of the second and third number is 222 greater than the first number.

Lesson summarymf67e35a151337245_1528450119332_0Lesson summary

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

Steps of doing a text exercises while using an equation:

- analysing the exercises

– identifying the givengivengiven and unknownunknownunknown,

- creating the equation,

- solving the equation,

- verifying the solution of the equationsolution of the equationsolution of the equation with the condition of the exercise,

- writing down the answer.

Selected words and expressions used in the lesson plan

analysis of the taskanalysis of the taskanalysis of the task

applying equationsapplying equationsapplying equations

content of the taskcontent of the taskcontent of the task

givengivengiven

solution of the equationsolution of the equationsolution of the equation

text exercisetext exercisetext exercise

to solve an equationto solve an equationto solve an equation

unknownunknownunknown

verificationverificationverification