LibreOffice-Suite-Math/C2/Using-Greek-characters-Brackets-Steps-to-Solve-Quadratic-Equation/English-timed
From Script | Spoken-Tutorial
| 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. |
