Difference between revisions of "LibreOffice-Suite-Math/C2/Using-Greek-characters-Brackets-Steps-to-Solve-Quadratic-Equation/English-timed"
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− | ||Welcome to the Spoken tutorial on LibreOffice Math. | + | ||Welcome to the '''Spoken tutorial''' on '''LibreOffice Math'''. |
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||00:08 | ||00:08 | ||
− | ||Using Greek characters like alpha, beta, theta and pi | + | ||Using '''Greek''' characters like '''alpha, beta, theta''' and '''pi'''. |
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||00:15 | ||00:15 | ||
− | ||Using | + | ||Using '''Bracket'''s. * Writing steps to solve a quadratic equation. |
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||00:21 | ||00:21 | ||
− | ||Let us learn how to write Greek characters using Math. | + | ||Let us learn how to write Greek characters using '''Math'''. |
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||00:26 | ||00:26 | ||
− | ||For this, let us first open the example Writer document that we created in the last tutorial i.e. MathExample1.odt. | + | ||For this, let us first open the example '''Writer''' document that we created in the last tutorial i.e. "MathExample1.odt". |
|- | |- | ||
||00:41 | ||00:41 | ||
− | ||Double click on the Gray box that has the formulae we wrote. | + | ||Double-click on the Gray-box that has the formulae we wrote. |
|- | |- | ||
||00:47 | ||00:47 | ||
− | ||This brings up the Math Formula Editor and the Elements window. | + | ||This brings up the '''Math Formula Editor''' and the '''Elements''' window. |
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||00:54 | ||00:54 | ||
− | ||Let us click on the Formula Editor border and drag and drop to the right to make it float. | + | ||Let us click on the '''Formula Editor''' border and drag and drop to the right to make it float. |
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||01:02 | ||01:02 | ||
− | ||This maximizes the Writer window for better visibility. | + | ||This maximizes the '''Writer''' window for better visibility. |
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||01:07 | ||01:07 | ||
− | ||Now Greek characters | + | ||Now, Greek characters- for example: alpha, beta, theta and pi are common in mathematical formulae. |
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||01:16 | ||01:16 | ||
− | ||But we won’t find these characters in the Elements window. | + | ||But, we won’t find these characters in the '''Elements''' window. |
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||01:21 | ||01:21 | ||
− | ||We can write them directly | + | ||We can write them directly by using the percentage sign followed by the name of the character in English. |
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||01:30 | ||01:30 | ||
− | ||For example | + | ||For example- to write '''pi''', we simply type "%pi" in the '''Formula Editor'''. |
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||01:47 | ||01:47 | ||
− | ||For example | + | ||For example- to write alpha in lower case, type "%alpha" or "%beta". |
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||02:06 | ||02:06 | ||
− | ||For example to write gamma in upper case, type %GAMMA or %THETA | + | ||For example- to write gamma in upper case, type "%GAMMA" or "%THETA". |
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||02:17 | ||02:17 | ||
− | ||Another way to enter Greek characters is by using the Catalog from the Tools menu. | + | ||Another way to enter Greek characters is by using the '''Catalog''' from the '''Tools''' menu. |
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||02:26 | ||02:26 | ||
− | ||Under the Symbol set, select Greek | + | ||Under the '''Symbol set''', select '''Greek''' |
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||02:31 | ||02:31 | ||
− | ||and double click on a Greek letter from the list. | + | ||and double-click on a Greek letter from the list. |
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||02:35 | ||02:35 | ||
− | ||Notice the mark up for the Greek letter as alpha which is displayed below the list. | + | ||Notice the '''mark up''' for the Greek letter as alpha which is displayed below the list. |
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||02:43 | ||02:43 | ||
− | ||So this is how we can introduce Greek characters in a formula. | + | ||So, this is how we can introduce Greek characters in a formula. |
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||02:49 | ||02:49 | ||
− | ||Explore the Symbols Catalog to know the mark up for other Greek characters. | + | ||Explore the '''Symbols Catalog''' to know the '''mark up''' for other Greek characters. |
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||02:56 | ||02:56 | ||
− | ||Let us now learn how to use | + | ||Let us now learn how to use '''Bracket'''s in our formulae. |
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||03:02 | ||03:02 | ||
− | ||Math does not know about order of operation in a formula. | + | ||'Math' does not know about order of operation in a formula. |
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||03:07 | ||03:07 | ||
− | ||So we have to use | + | ||So, we have to use brackets to state the order of operation. |
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||03:13 | ||03:13 | ||
− | ||For example, how do we write | + | ||For example, how do we write: First add x and y, then divide 5 by the result? |
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||03:22 | ||03:22 | ||
− | ||We can type | + | ||We can type: "5 over x + y". |
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||03:28 | ||03:28 | ||
− | ||Now is this really what we wanted to write? | + | ||Now, is this really what we wanted to write? |
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||03:32 | ||03:32 | ||
− | ||No | + | ||No. We want to add x and y first and we can do this by introducing curly brackets around x and y. |
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||03:44 | ||03:44 | ||
− | ||And the mark up looks like: | + | ||And the '''mark up''' looks like: 5 over x+y in curly brackets. |
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||03:52 | ||03:52 | ||
− | ||So using brackets can help set the order of operation in a formula. | + | ||So, using brackets can help set the order of operation in a formula. |
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||03:58 | ||03:58 | ||
− | ||Let us save our work by using the File menu at the top and choosing Save. | + | ||Let us '''save''' our work by using the '''File''' menu at the top and choosing '''Save'''. |
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||04:08 | ||04:08 | ||
− | ||Let us now write the steps to solve a | + | ||Let us now write the steps to solve a quadratic equation. |
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||04:13 | ||04:13 | ||
− | ||We will go to new page in the Writer document | + | ||We will go to new page in the '''Writer document''' by pressing '''Control + Enter'''. |
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||04:21 | ||04:21 | ||
− | ||Let us type: | + | ||Let us type: "Solving a Quadratic Equation" |
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||04:25 | ||04:25 | ||
− | || | + | ||and call '''Math''' from the '''Insert > Object > Formula''' menu. |
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||04:33 | ||04:33 | ||
− | ||I have already typed the quadratic equations | + | ||I have already typed the quadratic equations. I will '''cut''' and '''paste''' them so as to '''save''' time. |
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||04:42 | ||04:42 | ||
− | ||So here is the quadratic equation we will solve | + | ||So, here is the quadratic equation we will solve: x squared - 7 x + 3 = 0 |
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||04:53 | ||04:53 | ||
− | ||To solve it, we can use the quadratic formula shown on the screen | + | ||To solve it, we can use the quadratic formula shown on the screen. |
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||04:59 | ||04:59 | ||
− | ||Here ‘a’ is the coefficient of the x squared term, ‘b’ is the coefficient of the x term and ‘c’ is the constant. | + | ||Here, ‘a’ is the coefficient of the 'x' squared term, ‘b’ is the coefficient of the 'x' term and ‘c’ is the constant. |
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||05:11 | ||05:11 | ||
− | ||And we can solve the equation by substituting 1 for a, -7 for b, and 3 for c in the formula. | + | ||And we can solve the equation by substituting 1 for a, -7 for b, and 3 for c, in the formula. |
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||05:23 | ||05:23 | ||
− | ||So first let us write the mark up for the quadratic equation that we want to solve. | + | ||So, first let us write the '''mark up''' for the quadratic equation that we want to solve. |
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||05:30 | ||05:30 | ||
− | ||First we will call Math from the Insert>Object>Formula menu | + | ||First, we will call '''Math''' from the '''Insert > Object > Formula''' menu. |
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||05:39 | ||05:39 | ||
− | ||In the Format Editor | + | ||In the '''Format Editor''' window, let us type the '''mark up''' as follows: |
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||05:46 | ||05:46 | ||
− | ||x squared minus 7 x | + | ||'''x squared minus 7 x plus 3 = 0'''. |
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||05:53 | ||05:53 | ||
− | ||Let us write two | + | ||Let us write two '''newline'''s for entering blank lines for better readability. |
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||06:01 | ||06:01 | ||
− | ||Press Enter and type | + | ||Press '''Enter''' and type: "Quadratic Formula:". Press '''Enter'''. |
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||06:07 | ||06:07 | ||
− | ||It is always a good practice to break down a complex formula by starting with the inner most elements of the formula first | + | ||It is always a good practice to break down a complex formula by starting with the inner most elements of the formula, first. |
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||06:21 | ||06:21 | ||
− | ||So we will first write the inner most square root function | + | ||So, we will first write the inner most square root function. |
|- | |- | ||
||06:27 | ||06:27 | ||
− | ||And the mark up is | + | ||And the '''mark up''' is '''square root of b squared - 4ac''' in curly brackets. |
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||06:37 | ||06:37 | ||
− | ||Next, we will add the | + | ||Next, we will add the '''minus b plus or minus''' to the above expression and put them inside curly brackets. |
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||06:57 | ||06:57 | ||
− | || | + | ||and add ‘over 2a’ to the expression. |
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||07:02 | ||07:02 | ||
− | ||And finally add | + | ||And, finally add '''x equals''' to the beginning |
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||07:08 | ||07:08 | ||
− | || | + | ||with two long '''gap'''s surrounding the '''equal to''' symbol. |
|- | |- | ||
||07:13 | ||07:13 | ||
− | ||And there is the quadratic formula. | + | ||And, there is the quadratic formula. |
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||07:22 | ||07:22 | ||
− | ||Next let us type the rest of the text as follows in the Formula Editor window | + | ||Next, let us type the rest of the text as follows in the '''Formula Editor''' window |
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||07:29 | ||07:29 | ||
− | || | + | ||Where ‘a’ is the coefficient of the 'x' squared term, 'b' is the coefficient of the 'x' term, 'c' is the constant followed by a '''newline'''. |
|- | |- | ||
||07:43 | ||07:43 | ||
− | ||And type: | + | ||And type: "We can solve the equation by substituting 1 for a, -7 for b, 3 for c’ followed by two '''newline'''s. |
|- | |- | ||
||07:59 | ||07:59 | ||
− | ||So the mark up after the substitution | + | ||So, the '''mark up''' after the substitution is as shown on the screen. |
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||08:05 | ||08:05 | ||
− | ||So we have substituted the numbers using parentheses in the equation. | + | ||So, we have substituted the numbers using parentheses in the equation. |
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||08:15 | ||08:15 | ||
− | ||Complete the remaining steps for solving the quadratic equation | + | ||Complete the remaining steps for solving the quadratic equation. |
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||08:23 | ||08:23 | ||
− | ||Format the steps by changing | + | ||'''Format''' the steps by changing '''alignment'''s and '''spacing'''. |
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||08:28 | ||08:28 | ||
− | ||Add long | + | ||Add long '''gap'''s and '''newline'''s wherever necessary. |
|- | |- | ||
||08:33 | ||08:33 | ||
− | ||Write the following formula: | + | ||Write the following formula: pi is similar or equal to 3.14159. |
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||08:43 | ||08:43 | ||
− | ||This brings us to the end of this tutorial on Greek Characters, Brackets and Equations in LibreOffice Math. | + | ||This brings us to the end of this tutorial on '''Greek Characters, Brackets and Equations''' in '''LibreOffice Math'''. |
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||08:56 | ||08:56 | ||
− | ||Using Greek characters like alpha, beta, theta and pi | + | ||Using '''Greek''' characters like '''alpha, beta, theta''' and '''pi'''. |
|- | |- | ||
||09:01 | ||09:01 | ||
− | ||Using Brackets Writing | + | ||Using '''Brackets''' * Writing steps to solve a Quadratic Equation. |
|- | |- | ||
||09:07 | ||09:07 | ||
− | ||Spoken Tutorial | + | ||'''Spoken Tutorial''' project is a part of the '''Talk to a Teacher''' project, |
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||09:19 | ||09:19 | ||
− | ||This project is | + | ||This project is coordinated by http://spoken-tutorial.org. |
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||09:29 | ||09:29 | ||
− | ||This | + | ||This script has been contributed by Priya Suresh, DesiCrew Solutions. And this is Soundharya, DesiCrew Solutions, signing off. |
− | + | Thanks for joining. | |
− | And this is | + | |
− | + | ||
− | Thanks for joining | + |
Latest revision as of 10:18, 24 March 2017
Time | Narration |
00:00 | Welcome to the Spoken tutorial on LibreOffice Math. |
00:04 | In this tutorial, we will cover the following topics: |
00:08 | Using Greek characters like alpha, beta, theta and pi. |
00:15 | Using Brackets. * Writing steps to solve a quadratic equation. |
00:21 | Let us learn how to write Greek characters using Math. |
00:26 | For this, let us first open the example Writer document that we created in the last tutorial i.e. "MathExample1.odt". |
00:41 | Double-click on the Gray-box that has the formulae we wrote. |
00:47 | This brings up the Math Formula Editor and the Elements window. |
00:54 | Let us click on the Formula Editor border and drag and drop to the right to make it float. |
01:02 | This maximizes the Writer window for better visibility. |
01:07 | Now, Greek characters- for example: alpha, beta, theta and pi are common in mathematical formulae. |
01:16 | But, we won’t find these characters in the Elements window. |
01:21 | We can write them directly by using the percentage sign followed by the name of the character in English. |
01:30 | For example- to write pi, we simply type "%pi" in the Formula Editor. |
01:40 | To write a lowercase character, type the name of the character in lowercase. |
01:47 | For example- to write alpha in lower case, type "%alpha" or "%beta". |
01:59 | To write an uppercase character, type the name of the character in uppercase. |
02:06 | For example- to write gamma in upper case, type "%GAMMA" or "%THETA". |
02:17 | Another way to enter Greek characters is by using the Catalog from the Tools menu. |
02:26 | Under the Symbol set, select Greek |
02:31 | and double-click on a Greek letter from the list. |
02:35 | Notice the mark up for the Greek letter as alpha which is displayed below the list. |
02:43 | So, this is how we can introduce Greek characters in a formula. |
02:49 | Explore the Symbols Catalog to know the mark up for other Greek characters. |
02:56 | Let us now learn how to use Brackets in our formulae. |
03:02 | 'Math' does not know about order of operation in a formula. |
03:07 | So, we have to use brackets to state the order of operation. |
03:13 | For example, how do we write: First add x and y, then divide 5 by the result? |
03:22 | We can type: "5 over x + y". |
03:28 | Now, is this really what we wanted to write? |
03:32 | No. We want to add x and y first and we can do this by introducing curly brackets around x and y. |
03:44 | And the mark up looks like: 5 over x+y in curly brackets. |
03:52 | So, using brackets can help set the order of operation in a formula. |
03:58 | Let us save our work by using the File menu at the top and choosing Save. |
04:08 | Let us now write the steps to solve a quadratic equation. |
04:13 | We will go to new page in the Writer document by pressing Control + Enter. |
04:21 | Let us type: "Solving a Quadratic Equation" |
04:25 | and call Math from the Insert > Object > Formula menu. |
04:33 | I have already typed the quadratic equations. I will cut and paste them so as to save time. |
04:42 | So, here is the quadratic equation we will solve: x squared - 7 x + 3 = 0 |
04:53 | To solve it, we can use the quadratic formula shown on the screen. |
04:59 | Here, ‘a’ is the coefficient of the 'x' squared term, ‘b’ is the coefficient of the 'x' term and ‘c’ is the constant. |
05:11 | And we can solve the equation by substituting 1 for a, -7 for b, and 3 for c, in the formula. |
05:23 | So, first let us write the mark up for the quadratic equation that we want to solve. |
05:30 | First, we will call Math from the Insert > Object > Formula menu. |
05:39 | In the Format Editor window, let us type the mark up as follows: |
05:46 | x squared minus 7 x plus 3 = 0. |
05:53 | Let us write two newlines for entering blank lines for better readability. |
06:01 | Press Enter and type: "Quadratic Formula:". Press Enter. |
06:07 | It is always a good practice to break down a complex formula by starting with the inner most elements of the formula, first. |
06:16 | And then we can work our way around these elements. |
06:21 | So, we will first write the inner most square root function. |
06:27 | And the mark up is square root of b squared - 4ac in curly brackets. |
06:37 | Next, we will add the minus b plus or minus to the above expression and put them inside curly brackets. |
06:48 | We will make the above expression a numerator by adding another set of curly brackets |
06:57 | and add ‘over 2a’ to the expression. |
07:02 | And, finally add x equals to the beginning |
07:08 | with two long gaps surrounding the equal to symbol. |
07:13 | And, there is the quadratic formula. |
07:16 | This is how we can break down complex formulae and build them part by part. |
07:22 | Next, let us type the rest of the text as follows in the Formula Editor window |
07:29 | Where ‘a’ is the coefficient of the 'x' squared term, 'b' is the coefficient of the 'x' term, 'c' is the constant followed by a newline. |
07:43 | And type: "We can solve the equation by substituting 1 for a, -7 for b, 3 for c’ followed by two newlines. |
07:59 | So, the mark up after the substitution is as shown on the screen. |
08:05 | So, we have substituted the numbers using parentheses in the equation. |
08:12 | Okay, here is an assignment for you: |
08:15 | Complete the remaining steps for solving the quadratic equation. |
08:20 | Display the two results separately. |
08:23 | Format the steps by changing alignments and spacing. |
08:28 | Add long gaps and newlines wherever necessary. |
08:33 | Write the following formula: pi is similar or equal to 3.14159. |
08:43 | This brings us to the end of this tutorial on Greek Characters, Brackets and Equations in LibreOffice Math. |
08:52 | To summarize, we learned the following topics: |
08:56 | Using Greek characters like alpha, beta, theta and pi. |
09:01 | Using Brackets * Writing steps to solve a Quadratic Equation. |
09:07 | Spoken Tutorial project is a part of the Talk to a Teacher project, |
09:12 | supported by the National Mission on Education through ICT, MHRD, Government of India. |
09:19 | This project is coordinated by http://spoken-tutorial.org. |
09:24 | More information on the same is available at the following link. |
09:29 | This script has been contributed by Priya Suresh, DesiCrew Solutions. And this is Soundharya, DesiCrew Solutions, signing off.
Thanks for joining. |