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The Knights of Maths

INTRODUCTION

Imagine that the Educational Minister wants to reduce the number of Maths teaching hours/ a week to increase IC hours and ask to the Maths teachers to list the subjects to delete from the programe. Among them she suggests to cancel the logarithm because they are outdated cause of the use of calculators.

 

Create a CANVA Presentation  to explain why it is a great mistake to cancel the logarithms from the programe standing up for ourselves. You are the new "knights of the Maths".

 TASK 

 

- to know the definition of logarithm;

- to calculate the value of simple logarithms;

- to apply the properties of logarithms;

- to solve the logarithmic equation applying the properties and analyze the solution  ;

- compare the use of logarithms in different fields ( earthquake, chemistry, music, astronomy,...)

- discuss with your friends about the importance of logarithms in your studying and defend your idea, giving  minimum two reasons.

- create a presentation where you show your ideas.

PROCESS

Step 1

 See the following materials and solve the assigned tests.

 

 

Exercises - Properties of Logarithms

 
  1. Find the values of the following:

    1. log4⁡8">log4(64)   

    2. log1/9⁡27">log1/9(27)   

    3. log 3 (81)   

  2. Solve for the unknown:

    1. logb⁡16=43">logb(16)=4   

    2. ln⁡x=−1">lnx=1   

  3. Write as a single logarithm:

    1. ln⁡3+2ln⁡4">ln3+2ln4   

    2. 2log2(16)+3log2(8)- 2log2(4)  

 

4. Solve the following equation and discuss about the result:

log 10(3x-1) + log10(x+2)= log10(100)

 

Step n. 2

 The following resourses give you some ideas about the applications of logarithms in our life.  In group of 3 students, research other informations about one of this application and create a little presentation by canva app (www.canva.com)

 

 

Step n.3

Discuss with other groups about your ideas and collect all presentations in one to show to the other classes of your school.

                                                                                 

                                                                                                  EVALUATION

 

 

Criteria

Excellent

Good

Satisfactory

Needs improvement


Task completion

Completed 100% of the task

Completed 70% of the task

Completed 60% of the task

Completed less than 60% of the task


And language competence

Is very able to formulate an original opinion, using correctly grammar and specialized language

Is able to formulate an opinion, using correctly grammar and specialized language

Is able to formulate an opinion only if guided. Uses grammar and specialized language, with some mistakes.

Does not attempt to formulate an opinio. Needs to work on grammar and specialized language.


Use logarithms in math and other fields

Fully mastered the skills to solve exercises and evaluate the admissibility of the solutions.

Mastered most of the skills to solve exercises and evaluate the admissibility of the solutions.

Mastered some of the skills to solve exercises and evaluate the admissibility of the solutions only if guided

Still needs to master the skills to solve exercises.

Discuss and defend own idea

Fully mastered the abilities to debate and argue in a logical manner. All evaluations were original and justified.

Mastered most of the abilities to debate and argue in a logical manner. Most evaluations were original and justified.

Mastered some of the abilities to debate and argue in a logical manner. Some evaluations were original and justified.

Needs to learn how to debate and argue in a logical manner.

Evaluations were not original and unjustified

Sharing and cooperating

Excellent teamwork and cooperation

Positive teamwork and cooperation

Can work in  team and cooperate at times

Does not attempt to work in a team or cooperate with others

 

 

 

 

 

 

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