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Algebra Drills Topics Introduction ..................1 Making a Backup Diskette ......1 Installing on a Fixed Disk ..........................2 Getting Started ...............2 The Main Menu .................3 Introductory Algebra ........3 Polynomial Equations ........3 Operations with Fractions ...................4 Linear Functions ............4 Geometry ....................4 Trigonometry ................4 Selecting a Drill .............5 Answering Questions ...........5 Scoring .......................6 Ending a Drill ................6 Options .......................7 Time limit ..................7 Sound .......................8 Display type ................8 Color .......................9 Trigonometric Table ..........10 1 Introduction~ ------------ Algebra Drills is a series of randomly generated exercises designed to challenge a student's knowledge in 22 areas of algebra. The program is intended for algebra students on the secondary and postsecondary levels. Exercises range from basic number properties to advanced trigonometric functions. Making a Backup Diskette~ ------------------------ It is important to make a backup copy of your Algebra Drills diskette in case your original diskette is lost or damaged. If necessary, refer to your Disk Operating System (DOS) book for information about using the DISKCOPY command. Store the original diskette in a safe place and use the backup copy to run the program. 2 Installing on a Fixed Disk~ -------------------------- Follow the steps below to install the Algebra Drills program on your fixed disk: 1. Create an Algebra Drills subdirectory on your fixed disk. You might want to name it ALGEBRA or something similar. 2. Insert your Algebra Drills diskette in drive A and enter: A: 3. At the DOS prompt A>, enter: copy: a:*.* c:\algebra where ALGEBRA represents your Algebra Drills subdirectory. Getting Started~ --------------- Follow these steps to start Algebra Drills: 1. At the DOS prompt, type: algebra 2. Press Enter to start the program. The Algebra Drills title screen appears. 3. Press Enter to continue. The Algebra Drills Main Menu screen appears. 3 The Main Menu~ ------------- This section describes each of the six algebra topics on the Main Menu. ____________________________________ | | | ALGEBRA DRILLS | | | | Main Menu | | | | 1 Introductory Algebra | | 2 Polynomial Equations | | 3 Operations with Fractions | | 4 Linear Functions | | 5 Geometry | | 6 Trigonometry | | | | Type selection number: | | | | F2-Options F10-Exit | |____________________________________| Introductory Algebra~ This topic introduces you to the fundamental properties of algebraic expressions. Questions cover number properties, inverses, absolute values, integers, square roots, and inequalities. Polynomial Equations~ This topic includes comparing and solving monomial and polynomial equations. It also includes identify- ing positive roots, solving solution sets, and finding the smallest or largest values of polynomials. 4 Operations with Fractions~ Select this topic for drills involving fractions, ratios, and proportions. Drills cover adding, subtracting, multiplying, and dividing fractions and solving, simplifying, and comparing ratios and proportions. Linear Functions~ This topic reviews the different components of linear functions, and asks you to identify the slope, x and y values, or the y-intercept of y=mx+b equations. Drills also cover factoring lateral functions and solving systems of equations. Geometry~ Drills for this topic review geometric properties of circles, triangles, complementary angles, and the Pythagorean Theorem. Trigonometry~ Select this topic for drills involving the sine, cosine, and tangent of trigonometric equations. Right triangle equations are also covered. Note: A Trigonometric Table is located at the end of this document to assist you in doing trigonometric calculations. 5 Selecting a Drill~ ----------------- Follow these steps to select a drill: 1. Select a topic from the Main Menu by pressing the number next to the topic you want to practice. A second menu appears, called the Drills Menu. This menu displays the list of drills for the topic you selected. 2. Select one of the drills on the Drills Menu by pressing the number next to the drill. 3. Press Enter to start the drill. Answering Questions~ ------------------- Questions are in two formats: multiple choice and short answer. Multiple choice questions provide four answers from which you can choose. The screen displays: Enter your answer (1-4): [ ] Type the number of the answer you think is correct. Then, press Enter to continue. Short answer questions do not provide a list of answers. You must enter the answer to each question. You might want to work out each question on paper. When you have an answer, type it after the prompt: Enter your answer: [ ] Then, press Enter to continue. 6 If you answer a question correctly, the program tells you that your answer is correct. If your answer is incorrect, the program displays the correct answer. To go to the next question, press Enter. You can answer as many questions as you like during a drill. Scoring~ ------- You receive one point for each correct answer. Points are not deducted for incorrect answers. To view your score for the current drill, press F4. Press Enter to continue the drill. Use your score to help identify areas where you need additional practice or instruction. Ending a Drill~ -------------- To end a drill: 1. Press Esc. The score for the drill appears. 2. Press Enter to return to the Drills Menu. You can either select a new drill from the Drills Menu or press Esc to return to the Main Menu. To end the program, press F10 when the score is displayed at the end of a drill or press F10 when you are at the Main Menu. 7 Options~ ------- Algebra Drills provides four options that allow you to change some of the features of the program. To see the Options Menu, press F2 when you are at the Main Menu. The Options Menu appears. ____________________________________ | | | ALGEBRA DRILLS | | | | Options Menu | | | | 1 Time limit | | 2 Sound | | 3 Display type | | 4 Colors | | | | Type selection number: | | | | Esc-Menu | |____________________________________| Note: Options 3 and 4 may not appear on the Options Menu, depending on the type of display you are using. Time limit~ Follow these steps to change the time limit for answering a question: 1. Press 1 at the Options Menu. The Time Limit screen appears. 2. Type the new time limit after the prompt: Please specify the time limit. (0 to 999 seconds) [ ] Type 0 to specify no time limit. 3. Press Enter to return to the Options Menu. The time limit you select will be saved until you change it again. 8 Sound~ Follow these steps to turn the question response sound on or off: 1. Press 2 at the Options Menu. The Sound Options screen appears. 2. Press Y for Yes or N for No after the prompt: Would you like sound? (Y/N) [ ] You return to the Options Menu. The sound option you select will be saved until you change it again. Display type~ To change the display type: 1. Press 3 at the Options Menu. The Display Options Menu appears. ____________________________________ | | | ALGEBRA DRILLS | | | | Display Options Menu | | | | 1 Black and white | | 2 Color (40 column) | | 3 Color (80 column) | | 4 Monochrome | | | | Type selection number: | | | | Esc-Menu | |____________________________________| Note: Option 4 appears only if you are using both a monochrome and color display. 2. Press the number corresponding to the display you want to use. You return to the Options Menu 9 Color~ Follow these steps to change the screen colors: 1. Press 4 at the Options Menu. The Color Options Menu appears. ____________________________________ | | | ALGEBRA DRILLS | | | | Color Options | | | | Press a letter to change colors: | | | | F - Foreground ██ | | | | T - Titles ██ | | | | P - Prompts ██ | | | | M - Messages ██ | | | | B - Background ██ | | | | Press <─┘ to continue | | | | Esc-Menu | |____________________________________| 2. Press the letter next to each color option until the color you want appears. For example, to change the foreground color to red, press F until the square to the right of F - Foreground is red. 3. Press Enter when you are finished changing colors on the Color Options Menu. You return to the Options Menu. The colors you select will be saved until you change them again. 10 Trigonometric Table~ ------------------- Angle SIN COS TAN 1 0.0175 0.9998 0.0175 2 0.0349 0.9994 0.0349 3 0.0523 0.9986 0.0524 4 0.0698 0.9976 0.0699 5 0.0872 0.9962 0.0875 6 0.1045 0.9945 0.1051 7 0.1219 0.9925 0.1228 8 0.1392 0.9903 0.1405 9 0.1564 0.9877 0.1584 10 0.1736 0.9848 0.1763 11 0.1908 0.9816 0.1944 12 0.2079 0.9781 0.2126 13 0.2250 0.9744 0.2309 14 0.2419 0.9703 0.2493 15 0.2588 0.9659 0.2679 16 0.2756 0.9613 0.2867 17 0.2924 0.9563 0.3057 18 0.3090 0.9511 0.3249 19 0.3256 0.9455 0.3443 20 0.3420 0.9397 0.3640 21 0.3584 0.9336 0.3839 22 0.3746 0.9272 0.4040 23 0.3907 0.9205 0.4245 24 0.4067 0.9135 0.4452 25 0.4226 0.9063 0.4663 26 0.4384 0.8988 0.4877 27 0.4540 0.8910 0.5095 28 0.4695 0.8829 0.5317 29 0.4848 0.8746 0.5543 30 0.5000 0.8660 0.5774 31 0.5150 0.8572 0.6009 32 0.5299 0.8480 0.6249 33 0.5446 0.8387 0.6494 34 0.5592 0.8290 0.6745 35 0.5736 0.8192 0.7002 36 0.5878 0.8090 0.7265 37 0.6018 0.7986 0.7536 38 0.6157 0.7880 0.7813 39 0.6293 0.7771 0.8098 40 0.6428 0.7660 0.8391 41 0.6561 0.7547 0.8693 42 0.6691 0.7431 0.9004 43 0.6820 0.7314 0.9325 44 0.6947 0.7193 0.9657 45 0.7071 0.7071 1.0000 11 Angle SIN COS TAN 46 0.7193 0.6947 1.0355 47 0.7314 0.6820 1.0724 48 0.7431 0.6691 1.1106 49 0.7547 0.6561 1.1504 50 0.7660 0.6428 1.1918 51 0.7771 0.6293 1.2349 52 0.7880 0.6157 1.2799 53 0.7986 0.6018 1.3270 54 0.8090 0.5878 1.3764 55 0.8192 0.5736 1.4281 56 0.8290 0.5592 1.4826 57 0.8387 0.5446 1.5399 58 0.8480 0.5299 1.6003 59 0.8572 0.5150 1.6643 60 0.8660 0.5000 1.7321 61 0.8746 0.4848 1.8040 62 0.8829 0.4695 1.8807 63 0.8910 0.4540 1.9626 64 0.8988 0.4384 2.0503 65 0.9063 0.4226 2.1445 66 0.9135 0.4067 2.2460 67 0.9205 0.3907 2.3559 68 0.9272 0.3746 2.4751 69 0.9336 0.3584 2.6051 70 0.9397 0.3420 2.7475 71 0.9455 0.3256 2.9042 72 0.9511 0.3090 3.0777 73 0.9563 0.2924 3.2709 74 0.9613 0.2756 3.4874 75 0.9659 0.2588 3.7321 76 0.9703 0.2419 4.0108 77 0.9744 0.2250 4.3315 78 0.9781 0.2079 4.7046 79 0.9816 0.1908 5.1446 80 0.9848 0.1736 5.6713 81 0.9877 0.1564 6.3138 82 0.9903 0.1392 7.1154 83 0.9925 0.1219 8.1444 84 0.9945 0.1045 9.5144 85 0.9962 0.0872 11.4301 86 0.9976 0.0698 14.3007 87 0.9986 0.0523 19.0812 88 0.9994 0.0349 28.6363 89 0.9998 0.0175 57.2904 90 1.0000 0.0000 UNDEFINED