Презентация "Занимательная математика"

Занимательная математика

"Предмет математики настолько серьезен, что полезно не упускать случая сделать его немного занимательным" (Б. Паскаль)

Составитель Братчикова Е. В., учитель математики

Знаки и

символы

Из школьной

программы

Великие

математики

Кто

быстрее

Найди

ошибку

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

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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.

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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.

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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:

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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:

Цифровые стихи

511 1 6 5 20 337 712 19 2247

2 15 42 42 15 37 08 5 20 20 20! 7 14 105 2 00 13 37 08 5 20 20 20!

17 30 48

140 10 01

126 138

140 3 501

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Софизм

(от греч. sophisma – уловка, выдумка, головоломка),

формально кажущееся правильным,

но по существу ложное умозаключение,

основанное на преднамеренно неправильном

подборе исходных положений.

Каков бы ни был софизм, он обязательно

содержит одну или несколько замаскированных

ошибок. Особенно часто в математических

софизмах выполняются «запрещённые» действия

или не учитываются условия применимости

теорем, формул и правил. Иногда рассуждения ведутся

с использованием ошибочного чертежа или опираются

на приводящие к ошибочным заключениям «очевидности».

Встречаются софизмы, содержащие и другие ошибки.

Вопрос

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.

Цифра имеющая большое значение

в арабской (индийской)

нумерации и не существующая

в римской нумерации

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:

Вопрос

Если число неизвестно,

то скорее всего его

напишут именно так.

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.

Это интересно

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.

Вопрос

Самое меньшее

натуральное число известно,

а самого большого нет.

Этот знак помогает обозначить

сложившуюся ситуацию.

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.

Вопрос

Это действие необходимо

очень аккуратно выполнять,

если встретишь нуль.

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.

Вопрос

• Другое название независимой переменной.

• Периметр квадрата 24 см.

Чему равна его площадь.

3. Двое играли в шахматы два часа.

Сколько времени играл каждый?

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.

Вопрос

• Название функции, заданной формулой y = kx + b

• Утверждение, которое нужно доказывать.

3. Назовите наибольшее целое отрицательное число.

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.

Вопрос

• Наименьшее натуральное число.

• Что больше: катет или гипотенуза.

• Что есть общего у равнобедренного

треугольника и степени?

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.

Вопрос

• Семью восемь.

• Сотая часть числа.

3. График линейной функции.

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.

Это интересно

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.

Вопрос

Прошли столетий вереница,

Научный подвиг не забыт.

Никто не знает кто убийца,

Но знают все кто был убит.

Кто из математиков древности погиб от меча

римского солдата, гордо воскликнув «Отойди!

Не трогай моих чертежей!»

• Карл Гаусс
• Николай Лобачевский
• Рене Декарт
• Евклид
• Архимед
• Пифагор

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.

Вопрос

Автор слов «В геометрии нет

особых путей для царей!»?

Его книга лежит в основе большинства

школьных учебников по геометрии?

• Карл Гаусс
• Николай Лобачевский
• Рене Декарт
• Евклид
• Архимед
• Пифагор

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.

Вопрос

Кто является создателем

первой неевклидовой геометрии?

• Карл Гаусс
• Николай Лобачевский
• Рене Декарт
• Евклид
• Архимед
• Пифагор

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.

Вопрос

Король математики.

Этот ученый больше известен своими

открытиями в алгебре,

тем не менее, на своем надгробном памятнике

он завещал выгравировать

правильный 17-угольник, вписанный в круг.

• Карл Гаусс
• Николай Лобачевский
• Рене Декарт
• Евклид
• Архимед
• Пифагор

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.

Это интересно

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.