Презентация по математике "Математическая игра-викторина "Своя игра"" (7-10 классы)

Составьте неравенство, решением

которого является

объединение промежутков (- ∞; - 5 ] и [5 ;∞)

Категория Неравенства за 200

Например, x ² ≥ 25

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

0 Категория Неравества за 300 (-2;0)U(2;+ ∞) Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3. " width="640"

Решите неравенство

x ³-4x0

Категория Неравества за 300

(-2;0)U(2;+ ∞)

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Решите неравенство

Категория Неравенства за 400

(0;1)

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

0 (x ²-1)² Категория Неравен c тва за 500 X ≠±1 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3. " width="640"

1

0

(x ²-1)²

Категория Неравен c тва за 500

X ≠±1

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Какое из выражений не

тождественно

выражению ( a-b) ² :

(- a-b)²;(b-a)²;(-a+b)²;(-b+a)²

Категория

Формулы сокращенного умножения за 100

(- a-b)²

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Укажите верную

формулу: a) (a-b)³=a³-b³ b) (a-b)³=a³- 3 a ²b- 3 ab²- b³

c)(a-b)³=a³- 3 a²b +3 ab²-b³

c)

Категория Формулы сокращенного

умножения за 200

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Представьте в виде

многочлена

стандартного вида:

(3a+2b) * (2 b-3a)

Категория Формулы сокращенного

умножения за 300

4b²-9 a ²

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Вычислите при a=1000

Категория Формулы сокращенного

умножения за 400

995

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Представьте многочлен

в стандартном виде:

x 3 - х (x-3)(x+3)

Категория Формулы сокращенного

умножения за 500

9x

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Вычислите:

SIN( π /6)

Категория Тригонометрия за 100

1 /2

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Вычислите:

arcsin(-1)

Категория Тригонометрия за 200

- π /2

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

sin α =3 /5, α Є III ч.

Найдите COS α

Категория Тригонометрия за 300

-4 /5

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Вычислите:

cos(arccos1/2)

Категория Тригонометрия за 400

1 / 2

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Вычислите:

sin ² ( arccos3/5)

Категория Тригонометрия за 500

16 /25

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instruc-tions that appear on each slide.

I раунд завершён!

Slide 1-Title

This slide begins the game. When you first start the presentation, the screen appears all blue. When you click the mouse button, the Jeopardy theme song plays, and the title and “Hosted by” text slowly move into place.

To tailor this slide, follow these instructions:

• Print the notes for slides 1 through 3 by doing the following:

• Under File select Print… In the section entitled Print Range, click the radio button for Slides and in the box to its right, type in 1-3 . Under Print what: , select Notes Pages .
• Under File select Print…
• In the section entitled Print Range, click the radio button for Slides and in the box to its right, type in 1-3 .
• Under Print what: , select Notes Pages .

At this point, the Print pop-up should look like the picture at the right.

• At this point, the Print pop-up should look like the picture at the right.

• Click OK
• Click OK

2. Now that you have printed instructions for tailoring the game, you can make the needed changes to each slide by moving into Slide View. Simply double click the blue slide above .

• Change Slide 1:

• Double click on the word Subject , and type in the subject you want in its place (e.g., Math). Double click on the word Teacher in the bottom right of the slide, and type over it with your name (e.g., Mr. Link).
• Double click on the word Subject , and type in the subject you want in its place (e.g., Math).
• Double click on the word Teacher in the bottom right of the slide, and type over it with your name (e.g., Mr. Link).

After doing this, the new slide will look something like this:

• After doing this, the new slide will look something like this:

4. Go on to the next slide.

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instruc-tions that appear on each slide.

Математическая смекалка

Slide 1-Title

This slide begins the game. When you first start the presentation, the screen appears all blue. When you click the mouse button, the Jeopardy theme song plays, and the title and “Hosted by” text slowly move into place.

To tailor this slide, follow these instructions:

• Print the notes for slides 1 through 3 by doing the following:

• Under File select Print… In the section entitled Print Range, click the radio button for Slides and in the box to its right, type in 1-3 . Under Print what: , select Notes Pages .
• Under File select Print…
• In the section entitled Print Range, click the radio button for Slides and in the box to its right, type in 1-3 .
• Under Print what: , select Notes Pages .

At this point, the Print pop-up should look like the picture at the right.

• At this point, the Print pop-up should look like the picture at the right.

• Click OK
• Click OK

2. Now that you have printed instructions for tailoring the game, you can make the needed changes to each slide by moving into Slide View. Simply double click the blue slide above .

• Change Slide 1:

• Double click on the word Subject , and type in the subject you want in its place (e.g., Math). Double click on the word Teacher in the bottom right of the slide, and type over it with your name (e.g., Mr. Link).
• Double click on the word Subject , and type in the subject you want in its place (e.g., Math).
• Double click on the word Teacher in the bottom right of the slide, and type over it with your name (e.g., Mr. Link).

After doing this, the new slide will look something like this:

• After doing this, the new slide will look something like this:

4. Go on to the next slide.

1 задача

Slide 2-Category Selection

This slide is the main game board. You go here to begin the game, and you return here after each Question/Answer slide. This is where the “contestant” selects one of the five categories and a dollar value for the question. The higher the value, the more difficult the question. When you open this slide, the categories appear one at a time, and the dollar values appear at random with an accompanying laser beep. Here’s how it works: if the contestant selects the first category for $300, you would click on the $300 text under

2 задача

3 задача

4 задача

5 задача

10 00

500

500

500

500

the 1st category (i.e., the 3rd dollar box in column one). As a result, the corresponding Question/Answer slide will automatically appear. Once the question, and then the answer, for that slide have been shown, you will click on the arrow in the bottom right of that slide to return to this main slide. When you return to this slide, the dollar amount for the box you selected will have changed from white to blue to show that that particular question has already been used. Below, you will see how to tailor the game for your particular categories.

Сегодня II тур предлагает вам задачи, которые решали шестиклассники в далеком 1962 году. Смогли бы вы победить команду таких учеников?

To tailor this slide, follow these instructions:

Five different categories are used in the game. The category names appear at the top of the columns on this slide and on the five associated Question/ Answer slides (one for each dollar value). Rather than changing all of these separately, you will use the Replace command to change each placeholder category name only once.

1. Under Edit , choose Replace

• Type the placeholder name for category 1 as shown in the pop-up at the right. Type in your category name (e.g., Mixed Numbers) under Replace with:
• Type the placeholder name for category 1 as shown in the pop-up at the right.
• Type in your category name (e.g., Mixed Numbers) under Replace with:

The Replace pop-up should now look like the one on the right, only with your category name.

• The Replace pop-up should now look like the one on the right, only with your category name.

• Click the Replace All button to make the changes.
• Click the Replace All button to make the changes.

You will then see this pop-up

• You will then see this pop-up

• Click the OK button. This replaces the six occurrences of the specified placeholder category name with your category name. After this, the top of the slide will look like this:
• Click the OK button. This replaces the six occurrences of the specified placeholder category name with your category name. After this, the top of the slide will look like this:

Notice that in this case, “Mixed Numbers” doesn’t fit on the line. To fix this, simply click on the text right before the “N” and press Backspace followed by Enter. Now it’s on two lines:

2. Now, repeat Step 1 for the remaining four category placeholder names:

Магазин получил  со склада   материал.

Ситца  было получено 66% общего количества,

а числа метров сатина и шерсти относились  

между  собой,   как  11 : 6.   

Сатина было получено   на 450 м больше шерсти.

Сколько метров каждого материала

получил  магазин?

Slide 3-Question/Answer (Cat1, $100)

This slide is the first Question/Answer slide. It corresponds to Category 1 for $100. Once you have followed the instructions on Slide 2 to replace category name placeholders with your actual categories, the text “Cat1” on this slide will be replaced with your 1 st category name.

When you click on Category 1 for $100 on the main slide, this slide opens automatically, with the Question appearing at the top. (Note: On TV Jeopardy, the contestant is actually shown an

answer and is asked to offer a related question. Since this concept is sometimes difficult to understand and implement, this PowerPoint version shows a question followed by the corresponding answer.)

One way to play the game in class is to set up three teams. For each round, have one person from each team stand up as contestants. Have one pick the category and dollar value; click on that box and then ready the question that appears. Call on the first contestant that raises his or her hand for the answer. If they are correct, their team gets corresponding points or dollars (e.g., 1 point for each $100). If the first contestant misses the question or does not answer quickly enough, his or her team loses the corresponding points. Then, offer the question to the remaining two contestants in order of their raised hands. After the question has been answered correctly, or after all three contestants miss it, or after no contestant wants to try, return to the main slide by clicking on the yellow arrow. The current contestants then sit down, and the game moves to the next round.

Note that this Jeopardy game does not have a Double Jeopardy question.

Задача 1 за 5 00

Ситца – 2970 метров,

сатина – 990 метров,

шерсти – 540 метров.

To tailor this slide, follow these instructions:

You are now ready to put in your questions and answers, but you might want to go ahead and save this file first, using Save As and giving it a new name—one that makes sense for this particular Jeopardy game (e.g., Fractions Jeopardy ).

• If your Question is short, simply double click on the word “Question” and type in your specific question (e.g., “50% of 150” or “Capitol of France”). If the text you enter will not fit on one line, there’s room for two lines at this font size. If you need more room, reduce the font size by triple clicking on the text and using the Font Size selector in the toolbar. In some cases, your question may need a drawn figure or graphic. You can use PowerPoint features to draw the figure you need or to insert graphics. A few examples are show below.
• Double click on the word “Answer” and type in your answer in the same way.
• Do the same steps to tailor the remaining Question/Answer slides, remembering to make questions of higher dollar value more difficult. Also remember to save your work.

Example Questions:

Имеются два числа,

ни одно из которых не делится на 7.

Может ли (и при каком условии)

сумма этих чисел разделиться на 7?

Задача 2 за 5 00

Может, если сумма остатков

от деления этих чисел на 7

равна семи.

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Из двух кусков сплавов, из которых первый весил 12 кг и содержал 70% чистого серебра, а второй содержал 56% чистого серебра, получился сплав, содержащий 60% чистого серебра. Найти вес второго куска сплава.

30 кг

Задача 3 за 500

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Сколько процентов от вычитаемого составляет разность, если  вычитаемое составляет 2/3 уменьшаемого?

Задача 4 за 5 00

50%

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Мальчик накопил на покупку фотоаппарата 5,2 руб. Остальные деньги ему дали отец и два старших брата. Оказалось, что первый брат дал 25% суммы, собранной на покупку без него, второй  брат  дал  33 1/3% суммы, собранной на покупку без него, и отец дал 50% суммы, собранной на покупку без него. Сколько  рублей заплатил мальчик за фотоаппарат?

240 рублей

Задача 5 за 5 00

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Welcome to Power Jeopardy

© Don Link, Indian Creek School, 2004

You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instruc-tions that appear on each slide.

Финальный раунд завершён!

Успехов в дальнейшем изучении математики!

Slide 1-Title

This slide begins the game. When you first start the presentation, the screen appears all blue. When you click the mouse button, the Jeopardy theme song plays, and the title and “Hosted by” text slowly move into place.

To tailor this slide, follow these instructions:

• Print the notes for slides 1 through 3 by doing the following:

• Under File select Print… In the section entitled Print Range, click the radio button for Slides and in the box to its right, type in 1-3 . Under Print what: , select Notes Pages .
• Under File select Print…
• In the section entitled Print Range, click the radio button for Slides and in the box to its right, type in 1-3 .
• Under Print what: , select Notes Pages .

At this point, the Print pop-up should look like the picture at the right.

• At this point, the Print pop-up should look like the picture at the right.

• Click OK
• Click OK

2. Now that you have printed instructions for tailoring the game, you can make the needed changes to each slide by moving into Slide View. Simply double click the blue slide above .

• Change Slide 1:

• Double click on the word Subject , and type in the subject you want in its place (e.g., Math). Double click on the word Teacher in the bottom right of the slide, and type over it with your name (e.g., Mr. Link).
• Double click on the word Subject , and type in the subject you want in its place (e.g., Math).
• Double click on the word Teacher in the bottom right of the slide, and type over it with your name (e.g., Mr. Link).

After doing this, the new slide will look something like this:

• After doing this, the new slide will look something like this:

4. Go on to the next slide.

Использованные источники информации:

• Рисунки взяты из встроенной коллекции MS Power Point
• Задания I тура являются базовыми, ориентированы на любой УМК по изучению математики 7-10 классов
• Использованные задачи ориентированы на уровень, предлагаемый учебником алгебры под ред. А.Г.Мордковича

Использованные источники информации:

• Задания II тура «Математическая смекалка» взяты из задачника Пономарёва С.А. и Сырнева Н.И. «Сборник задач и упражнений по арифметике для V-VI классов». Издание девятое, «Учпедгиз», Москва, 1962 год