Quantity three-digit numbers. Placements. How many schedule options can you create? In how many ways can 5 volumes be arranged on a bookshelf? Selecting and rearranging objects. Composition of selected objects. Number of permutations. Combinations. Rearrangement formula. Quantity possible options combinations. Seven teams participate in the tournament. Combinations. In how many ways can a team be formed?
“Probability” 9th grade - Find the expected number of crucian carp. The lower of the two points rolled. The number of points is a multiple of 3. Bernoulli test. The number of points drawn. The number of points dropped on one dice. Probability of success. Properties of dispersion. Probability theory and statistics. Mathematical expectation of a random variable. Distribution of a random variable. Variance of the number of successes. The higher of the two points rolled. The sum of the points obtained in two dice throws.
“Algebra “Geometric progression”” - Write down the first five terms of the geometric progression. Choose the statement that suits you. Definition of geometric progression. Checking progress. Write any sequence of numbers in one of the columns. Geometric progression. “You can’t learn math by watching your neighbor do it...” Ivan Niven. Mathematical dictation. Personal goals. Physical education minute. Compare the math objects in each group.
“The concept of an algebraic fraction” - Raising a rational fraction into negative degree. Do the division. Degree with natural and integer exponent. Reduce to a polynomial of standard form. Operations with algebraic fractions. Methods for factoring a polynomial. Algebraic fraction- this expression. Do it orally. Find numeric value expressions, having previously simplified it. A polynomial is the sum of monomials. Check if the action was completed correctly.
“Quadratic function” 9th grade - Y=a(x-m)2 + n. Properties of a quadratic function. Function y = ax2 + g. The branches of the parabola are directed upward. Shift of the graph of the function y = ax2 along the coordinate axes. Function properties. Schedule. A quadratic function is a function that can be specified by a formula. Function y = a(x – p). Function graph. Graph and properties of the function y=ax2. Let's plot the function y=x2-4x+5. Scheme for constructing a parabola. Function y=x2. Constructing a parabola from points.
““Numerical functions” 9th grade” - Abscissas of points of intersection with the OX axis. Definition of a function. Function zeros. The scope of the function. The function y = f(x) is called odd. Properties of functions. Function range. Monotone. Even and odd functions(even and odd). Numerical functions.
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Lesson type: a lesson in explaining and initially consolidating new knowledge.
Equipment: route sheet (MR) ( Annex 1 ); technical equipment of the lesson - computer, projector for demonstrating presentations, screen. Computer presentation in Microsoft PowerPoint.
DURING THE CLASSES
I. Organization of the beginning of the lesson
Hello! Please check that you have handouts on your desk and that you are ready for the lesson.
II. Communicating the topic, purpose and objectives of the lesson
– Before starting to study a new topic, complete the tasks on the first page of the route sheet (check on the screen). If you completed the tasks correctly, then you should receive the word - STANDARD.
What is a standard? Where have you come across this word? What does it mean? (SCREEN)
Standard (from English - standard) A sample, standard, model with which similar objects and processes are compared. (Universal Encyclopedic Dictionary). That is, when they talk about a standard, it is easier for people to imagine what they are talking about. Today we will talk about the standard form of numbers. So, this is the topic of today's lesson.
III.Updating students' knowledge. Preparation for active educational and cognitive activity at the main stage of the lesson
– Let’s make a lesson plan:
- Repetition
- Determination of powers of a number;
- Determining the power of a number with a negative exponent;
- Properties of degree;
- Definition of the standard type of number;
- Actions with numbers written in standard form;
- Application.
In the world around us we encounter very large and very small numbers. We already know how to write large and small numbers using powers.
– Is it convenient to write numbers in this form? Why? (Take up a lot of space, waste a lot of time, and are difficult to remember.)
– What do you think was the way out of this situation? (Write numbers using powers.)
Write the mass of the Earth using powers. 598 10 25 g. Now write down the mass of the hydrogen atom. 17 10 –20 Is it possible to write these numbers differently using powers? Try it! 59.8 10 26, 5.98 10 27; 0.598 10 28 ; 5980 10 24.
17 10 –20 ; 1,7 10 –19 ; 0,17 10 –18 ; 170
10 –21 ;
– All results are correct. But can we talk about standard recording? What should I do? (Agree on a single recording of numbers.)
– Try to discuss with your neighbor what kind of record should be a single, standard one?
– What should be the factor before the power of 10 so that it is convenient to REMEMBER the number and present it?
IV. Assimilation of new knowledge
– Please open your textbooks, paragraph 35, and find the definition of the standard type of number and write it down on the route sheets.
– The standard form of a number is a notation of the form A 10n, where 1 <
A < 10, n – целое. n –
называют порядком числа.
– In standard form you can write any positive number!!!
Why? (By definition. Since the first factor is a number belonging to the interval from )