Real numbers without secrets. Revision or consolidation lesson

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Level, age of the students:	14 – 18
Subject:	Real numbers without secrets. Revision or consolidation lesson.
Subjects involved:	Maths
Aims:	A student fluently uses numbers, knows methods of fast calculations, properties of numbers, their record. A student working under time pressure doesn’t make mistakes.
Suggested # of students per group:	Individually
Time of the main activity:	10-15’
Material:	Crash test, crossword, mobile phone, computer, interactive board.
Competences:	Mathematical competence – logical and analytical thinking skills. Computer competence – skillful usage of a computer and other multimedia to take part in online cooperation.
Preparatory actions if any:	Reminding information about features of divisibility, including innovative division by 7. Introduction of fast multiplication of XY by XZ, where Y+Z=10. Introduction of fast multiplication of YX by ZX, where Y+Z=10. Introduction of exponentiation with 5 at the end. Reminding numerical notation in Roman system.
Expected results:	A student fluently performs operations with numbers without usage of a calculator, exploiting interesting features of numbers.
Expected difficulties:	Students haven’t learnt multiplication table well enough, low counting efficiency without a calculator.
Follow up if any:	Improvement of counting efficiency on every lesson.

Time	STRATEGY OF ACTIONS, PROCEDURE	METHOD, TOOLS
1-2’	Logging in on the platform.	Mobile phone, computer
5-10’	Solving crossword.	Platform
2’	Learning about results and getting to know predispositions.	Multimedia board