Quantity three-digit numbers. Accommodations. How many scheduling options are available. In how many ways can 5 volumes be arranged on a bookshelf? Selecting and rearranging objects. The composition of the selected objects. The number of permutations. Combinations. Permutation formula. Quantity options combinations. Seven teams participate in the tournament. Combinations. In how many ways can a team be formed?
""Probability" Grade 9" - Find the expected number of carp. The lowest of the two points rolled. The number of points is a multiple of 3. Bernoulli test. The dropped number of points. The number of points rolled on one dice. Probability of success. Dispersion properties. Probability theory and statistics. Mathematical expectation of a random variable. Distribution of a random variable. The variance of the number of successes. Highest of two points rolled. The sum of the scores from two throws of a die.
"Algebra "Geometric progression"" - Write down the first five terms of a geometric progression. Choose the statement that suits you. Definition of a geometric progression. Execution check. 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. Fizkultminutka. Compare mathematical objects in each group.
"The concept of an algebraic fraction" - Raising a rational fraction to negative degree. Do the division. Degree with natural and integer exponent. Convert to a polynomial of standard form. Operations with algebraic fractions. Methods for factoring a polynomial. Algebraic fraction- this expression. Do it orally. Find numerical value expressions, after simplifying it. A polynomial is the sum of monomials. Check if the action is correct.
""Quadratic function" Grade 9" - Y=a(x-m)2 + n. Properties of a quadratic function. The function y = ax2 + g. The branches of the parabola are directed upwards. 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 defined by a formula. Function y \u003d 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. Building a parabola from points.
"Numerical functions" Grade 9 "- Abscissas of points of intersection with the OX axis. Function definition. Function nulls. Function scope. The function y = f(x) is called odd. Function properties. Function range. Monotone. Even and odd features(even and odd). Numeric functions.
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Lesson type: a lesson of explanation and primary consolidation of new knowledge.
Equipment: route sheet (MR) ( Annex 1 ); technical equipment of the lesson - a computer, a projector for demonstrating a presentation, a 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. Reporting the topic, purpose and objectives of the lesson
– Before you start learning 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 did you come across this word? What does it mean? (SCREEN)
Standard (from English - standard) A sample, standard, model, with which similar objects, processes are compared, compared. (Universal Encyclopedic Dictionary). That is, when talking about the standard, it is easier for people to imagine what is at stake. And today we will talk about the standard form of a number. So, this is the topic of today's lesson.
III. Actualization of students' knowledge. Preparation for active educational and cognitive activity at the main stage of the lesson
- Make a lesson plan
- Repetition
- Determining the degree of a number;
- Determination of the degree of a number with a negative indicator;
- Degree properties;
- Determination of the standard form of a 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 the degree of a number.
Is it convenient to write numbers in this form? Why? (Take up a lot of space, waste a lot of time, hard to remember.)
What do you think is the way out of this situation? (Write numbers using powers.)
Write down the mass of the Earth using a power of a number. 598 10 25 g. Now write down the mass of the hydrogen atom. 17 10–20 d. Is it possible to write these numbers differently using degrees? Try it! 59.8 10 26 , 5.98 10 27 ; 0.5981028; 5980 10 24 .
17 10 –20 ; 1,7 10 –19 ; 0,17 10 –18 ; 170
10 –21 ;
All results are correct. But is it possible to speak of a standard notation? How to be? (Agree on a single notation of numbers.)
- Try to discuss with a neighbor what kind of record should be a single, standard one?
- What should be the factor before the power of the number 10, so that it is convenient to REMEMBER the number and present it?
IV. Assimilation of new knowledge
- Please open the textbooks p.35 and find the definition of the standard form of the number and write it down in the route sheets.
- The standard form of a number is a record of the form a 10 n , where 1 <
a < 10, n – целое. n –
называют порядком числа.
– In standard form, you can write any positive number!!!
Why? (By definition. Because the first factor is a number that belongs to the interval from )