“Later Indian texts based on the Kama Sutra… omitted the section on same-sex desire, and in the early 20th century, under British Puritan influence, some Indians interpreted the Kama Sutra as a text warning against many types of sex, such as homosexuality,” says Vanita. Over time, however, the inclusivity of the Kama Sutra also became victim to the “distortion” Mitra mentioned. It even says that if a man can pleasure a woman properly, his business will do better because she won’t spend your money needlessly, and that a man would even be a better warrior."ĭespite its ancient status, believe it or not, Vanita reveals that the text also addresses queer intimacy, even devoting a full chapter to same-sex desire. "They believed that if the woman was fully pleasured, sex would go on for longer in a marriage. The Kama Sutra section on sexuality "was designed to teach a man how to make sure that the woman was fully pleasured," says sex expert Seema Anand, author of The Arts of Seduction. The ancient text even teaches that men should prioritize a woman’s pleasure over their own, by focusing on making sure she climaxes before even thinking about their own orgasm. What else does the Kama Sutra say about sex and love?Ī document ahead of its time, the Kama Sutra offers some progressive perspectives on sexuality and love. and catalogues 64 heterosexual positions for sexual intercourse,” she shares. “It describes different types of kisses, love bites, scratches, etc. Even so, Vanita does say that the Kama Sutra gets pretty detailed when it comes to its sexual suggestions. " about the art of living and loving well and obtaining and maintaining the pleasures of life-including sex and love," confirms sex therapist Debra Laino, DHS. The Kama Sutra does address sex positions, but it’s really only in one section, points out Gigi Engle, a certified sex coach. It gives advice to people on how to enjoy the pleasures of life, including sex.” Vanita explains that the text also encourages people to engage in 64 different forms of art-like cooking, music, and even flower arrangement-to experience pleasure beyond the bedroom. “The Kama Sutra is divided into several chapters. It is the first erotic treatise in the world,” says Ruth Vanita, PhD, a professor of South and Southeast Asian studies at the University of Montana. The Kama Sutra is a 4th century Hindu text written in Sanskrit. “Kama means desire, and Kama Deva is the god of love and desire. While the Kama Sutra is way more than just a sexual guidebook, it’s important to note that it was really the first erotic text of its kind. So, if the Kama Sutra isn’t just the sexual playbook many sources in Western culture have touted it to be, then what exactly is it-and what can it teach us about sexuality, sensuality, and more? Below, experts explain what the ancient text is really all about. But, she adds, "Unfortunately, people still use these reductive, racist ideas to think about Indian sexuality in the past and present." ![]() The "distortion" of the book happened "in part because the first edition of Kama Sutra in English was done by colonial enthusiast-and Orientalist-Richard Burton in the late nineteenth century," she explains.īurton "wanted to create a fantasy for his English-speaking audience by portraying people of the East as hyper-sexual and unchanging, without history," notes Mitra. The original set of texts that became known as Kama Sutra "were actually about everything from urban living to statecraft, from perfumes to gardens," Mitra says. " Kama Sutra is a book of philosophy on ethics and aesthetics, never just an ancient text on sexual positions and sexual pleasure." and other parts of the western world," says Durba Mitra, PhD, an assistant professor of women, gender, and sexuality at Harvard University, and author of Indian Sex Life: Sexuality and the Colonial Origins of Modern Social Thought. "The Kama Sutra has been quite distorted in how it has circulated in translation in the U.S. ![]() The Kama Sutra, written by Indian philosopher Vatsyayana, has developed a reputation as the ultimate guidebook to what seems like every sex position ever-but the ancient Sanskrit text is so much more than a reference book for intricate genital gymnastics.
0 Comments
![]() If Spectrum TV® isn’t available in your area or you need more DVR storage space, check out our top cable TV providers for other options. If you want a decent number of channels for a fantastic price and live in one of these cities of the 41 states it’s offered, you might have found your next cable TV service. Although the second-year pricing is unclear, you can cancel without any repercussions if it's out of your budget. Most TV providers charge about $10 for their sports add-on, and we're happy that Spectrum is on the low end because it doesn't have nearly enough sports channels in its lineup.Īnother excellent perk to this cable provider is you don’t have to worry about a contract. That’s the price of one hotdog at an MLB game! The part we like the most about Spectrum TV® is that you can access about 30 sports channels for just $7 more per month. SmartMove’s partnerships with leading cable and Internet partners, such as Xfinity, Spectrum, and COX, allow you to learn more about each service before making your final decision.įind out for yourself how SmartMove’s Internet, TV, and cable packages can improve your viewing experience.Spectrum TV® may not provide the best DVR option for those who don't want a streaming device, but at least its fees are reasonable compared to other cable TV providers. SmartMove makes it easy by showing you all of your options in a single place. If you’re looking for a new or better cable TV provider, don’t waste your time comparing every option you see online. This plan you a whopping 10 channels, from almost any channel package (Turner, Viacom, Scripps, whatever), plus you get your local channels and things like PBS. Find Top-Rated Streaming Channels with Spectrum Depending on what you’re looking for, you might want to consider a third-party service that can help you decipher which package is best for you based on your needs. Finding the best Spectrum packages available, however, might require a little more work. You’ll never miss another episode of your most-watched shows with Spectrum TV Streaming. Alternatively, using your Spectrum Internet service to get the best quality streaming content from Netflix, Disney+, and HBO Max is a great option, too. Enjoying content from the most popular streaming providers through the Spectrum TV app is simple. You can also use your Spectrum Internet connection to watch the latest shows straight from the most popular streaming services. Whether you prefer channels such as TNT, Nickelodeon, TBS, MTV, and Cartoon Network or more specialized content from services such as Showtime, HGTV, Starz Encore, TLC, or the Hallmark Channel, Spectrum has exactly what you’re looking for. If you’re looking for a comprehensive cable channel lineup, Spectrum’s streaming packages deliver all the basic and premium channels straight to your TV. You can watch ESPN, The Sports Network, NFL Network, and many others at any time, putting you right where the action is. Spectrum provides a comprehensive channel lineup that allows you to watch all the most popular sports, whether you prefer soccer, boxing, or football. With Spectrum’s sports channels, you won’t ever miss another game. Offering the top news channels, such as CNN, MSNBC, and Fox News, Spectrum ensures you can stay up-to-date with the latest events from anywhere. If staying on top of the news is important, Spectrum’s got you covered. This way users won’t have to switch over to a local receiver to watch their favorite local content. Fox, NBC, CBS, ABC, and PBS are all available to customers through the Spectrum Stream interface. ![]() Spectrum TV Streaming gives users access to local channels through their regional providers. ![]() What channels are included in Spectrum TV Streaming? Local ![]() They each have the best TV channels available, alongside DVR and live TV services, so you never miss out on your favorite shows. New customers can get the most out of the Spectrum TV streaming channel lineup by considering the different options available. The Spectrum TV Select+Internet Bundle offers a comprehensive TV-watching experience alongside 300 Mbps of fast, reliable Spectrum Internet service. With Spectrum, users can combine their TV and Internet packages to save even more money. It includes over 100 channels, available for streaming anywhere via the Spectrum app, and thousands of on-demand titles to choose from. The Spectrum TV Select package starts at a standard rate of just $59.99/month when you sign up for 12 months. Spectrum customers will get all the most popular channels included in their lineup at an affordable price. Providers now offer comprehensive digital packages that allow users to watch content in a variety of different ways, enabling them to view in the manner most convenient for them. With Spectrum TV streaming, live and on-demand shows can be at your fingertips.Ĭable TV isn’t as straightforward as it used to be. Many cable providers offer bundled packages that grant their users access to more options for watching their favorite TV shows. ![]() ![]() You are also warranting that you are not under the control of, located in, or a resident or national of any such country or on any such list. ![]() By downloading or using any of these programs, you are agreeing to the foregoing and all applicable export control laws. For more information on export laws, please refer to the United States Commerce Department, Bureau of Export Administration. The information on export laws provided herein is not necessarily complete. These programs may not be downloaded or otherwise exported or re-exported into (or to a national or resident of): Cuba, Iran, Libya, North Korea, Sudan, Syria or any other country to which the United States has embargoed goods or any organization or company on the United States Commerce Department’s “Denied Parties List”. FTP Server – Main Menu Compliance with Export Control LawsĪny program available on this website is subject to United States export controls. Some versions on the FTP site are Not fully tested. Please use caution: In most cases, the correct software version for your use is listed on the associated product download tab. The link provided will direct you to our FTP servers main menu. These files should only be used by advanced users. Try these things, then come back and tell us how you get on and whether you need further help.The FTP site contains files and older versions of our software. You should then find when you launch Mach3 that it puts up a screen where you choose which plugin to use, the Ethernet one or parallel port, you choose the first, then things should start to work. So I suggest you check which moption controller you have and download the plugin and documentation, and follow the instructions to install it. There is good documentation on this on the CNCDrive website. You can download the required plugin free from the CNCDrive website and if it's like the UC100 one it can auto-install into the right place in Mach. So you need a separate motion controller (such as the one you have from CNCDrive) and a different Mach3 plug-in that outputs the commands from the main program over Ethernet (or, in a different version, USB) to the motion controller. However modern PCs, especially laptops, don't have the old-fashioned 25-pin parallel ports and they aren't supported under modern Windows either. on a CD or downloaded from the NFS website), it has a "plugin" that converts commands from the main program into pulses to drive the stepper drives and output these through the parallel port. Now, where did the Mach3 software you have come from? As supplied (e.g. (I have a Huawei Matebook Pro that is 2 years old and it doesn't have any Ethernet ports either, though actually I have a mini Win10 machine for the CNC.) Is this correct? I can't see why this should give any problems, if it supports general Ethernet connections up to 1 Gbps I doubt that Mach 3 can throw anything it can't handle. So I would guess that you have USB-C ports, which are quite fast enough to support Ethernet up to 1 Gbps, and a USB-Ethernet "dongle". I would guess that you have a modern laptop that doesn't have an integral Ethernet port - this is quite common these days since the Ethernet connector is too high for thin laptops. Please could you tell us which driver you have? It might help to look at their website at - it's probably either a UC300ETH or UC400ETH. So hopefully there is light at the end of the tunnel for you!įrom what you say you have a CNC Drive Ethernet motion controller (that is, the connection to your laptop is via Ethernet). Ability to customize M-code and macros using VB scripts. Generate G-codes via Laz圜am or step-by-step wizards. ![]() Direct import of DXF, BMP, JPG and HPGL files via Laz圜am. I therefore think that Win11 should work. Features and features of Mach3: Convert a normal system to a 6-axis CNC controller. Hi Ts, I guess we are not being very helpful but we don't have a lot of information to work from!įirst, I have recently upgraded to using Mach 3 under Windows 10 using CNC Drive components and it was fairly painless. Customized Birthday Party Packages, Expert birthday party organisers for 1st birthday, kids birthday - Wow. Our Return & Refund Policy provides detailed information about options and procedures for returning your order. Kalakar Events offers theme designs and birthday party decoration services in Hyderabad, Secunderabad, Telangana and Andhra Pradesh Areas. Best Birthday Party Planners in Delhi, Gurgaon. Memorable Celebrations is an Event Management Company in Hyderabad we are Kids Birthday Party organisers, Theme Party Organisers, Corporate Event. WE CURRENTLY DO NOT SHIP OUTSIDE THE INDIA. AT THE POINT OF PACKING AND DISPATCH ATMOST CARE SHALL BE TAKEN TO SEE THE PRODUCT REACHES SAFELY. Taxes : TAXES WILL BE INCLUDED IN THE TOTAL BTP AMOUNT MENTIONED.īOOKTHEPARTY.IN DOES NOT STAND LIABILE IN CASE OF ANY TRANSIT DAMAGE OR LOST. Shipment method : COURIER OR OTHER THIRD PARTY DELIVERIES DEPENDING ON THE PRODUCT AND DISTANCE.Įstimated delivery time: DEPENDS ON THE PRODUCT AND SCHEDULES.īOOKTHEPARTY.IN SHIPS TO ADDRESSES WITHIN THE GREATER HYDERABAD AREAS RIGHTLY. From deciding the venue to transforming it into fabulous space and the perfect party setting, we use bespoke designs and finest of materials to turn the dream events into reality. Our team of expert stylists ensures every small detail of your events is taken care of. We booked the face painting and balloons twisting service for my. We are one of the trusted event organizers for birthday party in Hyderabad. SHIPPING CHARGES SHALL BE CHARGED/CALCULATED ON ACTUALS BASED ON THE DISTANCE, PRODUCT AND MODE OF TRANSPORT. Balloons with a twist was so easy to work with from requesting a quote to the event day. IF WE ARE EXPERIENCING A HIGH VOLUME OF ORDERS, SHIPMENTS MAY BE DELAYED BY A DAY OR TWO. SOME PRODUCTS ARE DELIVERED ON THE SAME DAY. ![]() MOST OF THE ORDERS ARE PROCESSED WITHIN 2-3 BUSINESS DAYS. Party & Event Planners Party Supply Rental Banquet Halls & Reception Facilities. ![]() By filling the above form, you can ask for package details such as kids/adults, birthday party venue decorations, balloon decorations, catering, photography, DJ, Stage Setup and many. Clients can also book by calling +91-80191 43046, +91-9866899829, or mail us at . And are glad to introduce to you the services of the top 3330+ birthday planners in Vadodara, to add great fun to your birthday events. Following are the terms and conditions that constitute our Shipping Policy. Party, Kids Party, Bachelor Party, Any Event. If you have any questions, please get in touch with us at Akshara Entertainments Birthday Party Organisers, Decorations Hyderabad 3-8-6/4, Nehru Nagar, Ramanthapur Hyderabad, Telangana 500013. Thank you for visiting and shopping at booktheparty.in. ![]() Interactive Kindergarten Math Worksheets: Prepping the Materials:įor the most part, all you need to do is print the page(s) you need and pass them out to students, along with colored pencils or crayons!įor the even and odd pages, students will need scissors and glue to cut and paste as they sort the even numbers from the odd numbers. Count & represent quantities on a ten frameĪltogether there are 10 kindergarten math worksheets in the pdf file.Here are the math skills you’ll find on the included pages: Learn more about teaching math in Preschool here. Read our full disclosure here.* Kindergarten Math Skills Covered:Īlthough this is designed for Kindergarten, you could use a variety of these worksheets with Pre-K students as well. * Please Note: This post contains affiliate links which help support the work of this site. Combine them with hands on activities in the classroom, or send home as easy practice over the summer, or have them ready for low-prep sub plans. This set of Kindergarten math worksheets is easy and FUN for your kids, covering a wide range of math skills. It does not store any personal data.Looking for a quick and easy way to review key Kindergarten math skills? This set of interactive practice pages with a cute safari animal theme is the perfect collection of Kindergarten math worksheets for your little ones.ĭo you have themed weeks or unit studies with your Kindergartners? Or do you have an animal unit as part of your science studies? Or maybe you just need some low-prep review to assess your kiddos. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. The cookie is used to store the user consent for the cookies in the category "Performance". This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. The cookies is used to store the user consent for the cookies in the category "Necessary". The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously. ![]() Necessary cookies are absolutely essential for the website to function properly. It would be a great morning activity to use each day or just for a little extra practice daily. There was a few topics I wanted to touch on more and I may do so in the future but I added a little of everything into this book. It progressively gets harder but there is tons of review to keep practicing what has already been learned. This book has a sort of spiral approach to learning math. I kept moving forward and found a work around to my problem and finished the book. I lost 100 pages of it three weeks into working on it and was about to give up. I actually was beginning to think this book would never see the light of day. In it you will find pages that cover everything from counting to time to money to shapes and lots of stuff in between. This is a book with 180 different worksheets to practice Kindergarten Math Skills. Kindergarten Daily Math Practice Worksheets 180 Page Work Book ![]() Consider some of the following options for handling this: Depending on your group of students, this may or may not be of any concern. Since a deck of cards has ace-10 representing the numbers 1-10, students may have trouble fitting a slope or y-intercept of 10, for example, on their Predicting Changes handout. Students will be using a deck of cards to change the slope or y-intercept of each graph. ![]() It is not necessary for students to have Desmos accounts to use the Desmos Studio graphing calculator. Try to become familiar ahead of time with the Desmos Studio graphing calculator to better help students navigate through the Explore and Extend phases of this lesson. Ask if anyone noticed anything that all of the pictures had in common. Have the class come together to share their notices and wonders. Give students some time to reflect and talk with their partner about their discoveries. Have students walk around the room to the pictures and, using the strategy, reflect on the pictures. If necessary, give students an example of what they might write, "I noticed _ about picture #1." Do not mention lines or slopes at this time. Explain that they will write down everything they notice from a picture in the left column and anything they wonder or have a question about in the right column. ![]() Tell students that they will be walking around the classroom and reflecting on different pictures. On a piece of paper, have students make a table like the one on slide 5. Display slide 5 and share the I Notice, I Wonder instructional strategy. Instruct students to find a partner or assign students partners. Review each of these with students to the extent you feel necessary. Display slide 3 and share the lesson's essential question: How can we predict what the graph of a linear function will look like? Display slide 4 and share the lesson's learning objectives. Introduce the lesson using the attached Lesson Slides. If using printed pictures, consider laminating them so they will be more durable. If it is not possible to print the photos, display them one at a time. The photographs are numbered to facilitate note taking and discussion later in the lesson. Hang the pictures around the room, so that small groups of students may view them easily. Print the attached Slope Pictures slide deck (or choose other photos of real-world situations that illustrate a line with a positive or negative slope). Students demonstrate their ability to predict the effect on a linear function when the slope changes and use a Muddiest Point prompt to reflect on their learning through an Exit Ticket. Students find real-world examples of lines with defined slopes and then use digital photos and the Desmos Studio graphing calculator to generate a linear function that represents their pictures. Then students complete a foldable, identifying the components of slope-intercept form. Using the results from the Explore portion of the lesson, students generate a "rule" for the relationship between the linear equation and the graph and justify their decision using the Commit and Toss strategy. Students use the online Desmos Studio graphing calculator to explore how changing the number in front of x (slope) or the number after the plus sign (the y-intercept) influences the graph of a line. Students make notes and observations of photos that have strong lines with positive or negative slopes during an I Notice, I Wonder learning activity. Take a look at this video for more information!Īfter you have completed the above steps, our Customer Support Team will send you an email asking a few questions. This gives you a more complete picture of every unit, property, and. In the app, you can view and share inspection details using Buildium’s communication portals and Happ圜o, and tie inspections to your leasing process. Once this is done your request will be sent over to us and we will be able to complete the setup. Property Meld charges 1.60 per unit per month for its software, with a 160-per-month minimum. Tick the boxes indicating that an agreement exists with Property Meld and the terms of agreement have been reviewed and approved for this connection.Select whether to enroll all properties, specific Property Groups, or individual properties to Property Meld. Click Setup Connection in the Connection Settings block.Scroll down to Property Meld, click the drop-down arrow, and select Manage Connection. A software designed for property management professionals ready to transform their maintenance process, Property Meld offers the ability to increase productivity and lower maintenance costs through data-driven decisions.From General Settings click Manage AppFolio Stack™ Integrations. Reasons for Switching to Property Meld: We were sold on Property Meld doing a better job than Buildiums in-app maintenance system.Then, select General Settings from the dropdown menu. In AppFolio, click your name in the top right-hand corner. A software designed for property management professionals ready to transform their maintenance process, Property Meld offers the ability to increase.This will enable AppFolio Stack™ for your database and you are ready to sign up for the Property Meld Integration. (Only President or System Administrator users are able to activate this service). Enter your name as an Authorized Signer, and click Activate AppFolio Stack™ Premium. ![]() This is 'Vendor Orientation 1' by Property Meld on Vimeo, the home for high quality videos and the people who love them. While logged into your database, click Add Functionality in the top right-hand corner and select Integrations. Upload, livestream, and create your own videos, all in HD.How to set up the Appfolio Integration (Stack) NOTE: This article applies to customers interested in setting up an integration between Property Meld and AppFolio. ![]() – When the player’s car is under AI control & the race finishes, he will now retire to the pits and stay retired. – Fixed bug where if an AI retires early due to mechanical failure & doesn’t make it completely off the road (to the right), AI following him might try to avoid him….by turning straight into him. – For rear flap rules, check track wetness in all sessions, not just race by default. – Various fixes for multiple pitlanes tracks. – Added ability to automatically mirror tires rather than re-running TTool tests on a mirrored tire. – Tire planar contact compliances can now be adjusted based on tire pressure, etc Note this may be used to restore the fixed setup when that feature is enabled. – Restore garage setup upon race rejoin, if server’s Multiplayer.JSON setting “Race Rejoin” is set to the new value of 3. – TTool: added a way to set the Surface Load Goal during Quasi Static Analysis, rather than using Surface Height directly – Changed default for Controller.JSON value “Use thread” from “true” to “false”. – Session starting times now default to track GDB values rather than always 9am. Other known issues still to be found in knownissues.txt Non-steam clients and clients not subscribed to the workshop item will need to manually install “RaceEvents”. – “RaceEvents” on workshop are not served by dedicated server. ![]() – The rFactor2 Matchmaker list will not count clients that join a server using rFactor 2 Steam edition in the “player” column. – Launcher Message will display: “Component “Core UI 1.0″ failed to verify, removed from inventory”” In some rare cases this can cause issues with custom UI that also relies on core UI to handle some pages. – On rare occasion, when using “+connect” command via shortcut on server, users may need to retry multiple times when connecting to a password protected server. KNOWN ISSUES: rFactor 2 Build 1028 (NON-Steam) – You can (when available) install the dedicated server distribution from Steam as that works for both Steam and non-Steam matchmaker. – Recording path should no longer stick the 1st and last waypoint any closer than 80% of the defined waypoint distance. – Fix for displaying a Race Events components from the RFM selector page, even when it’s package file doesn’t exist. – Made AIs coming out of the garage at least try to avoid slow cars in the pitlane. – Handled a potential crash caused by replacement vehicle having less tire compounds than the virtual vehicle. – Fix for crash that happens when file defining a virtual vehicle doesn’t get transfered to a multiplayer client. – Fix for occasional select box misdrawing at resolutions other than 1920X1080 – Fix for AI’s incorrectly trying to match non-AI driving lines on superspeedways – Reduced possibility of significant halts when someone joins in multiplayer. – Disabled a few lines of code that overrode our intended defaults. – Fixed loose objects that would fall asleep and become rather solid. – Scale the instant replay text and progress bar correctly. – Added a boundary line between official ISI servers and all others on the multiplayer game list. – Added cockpit.ini variable “DebrisIndexInCockpit=” which makes instance DEBRIX visible in cockpit view. (Not necessarily the best sector 1 & 2 times, which are already provided.) – Added times for sector 1 & 2 from best lap to the plugin scoring data. This mode only works at current desktop resolution. – Moved damage to near the top of the pit menu. – Removed tree structure from RFM tree scroll box. In turn, that will be stored for the specific vehicle you are using. – Pressing Shift with the Increase/Decrease FOV controls will now adjust the seat pitch angle. – Added HDV variable AIBumpstop in order to control some occasional physics instabilities. Also, resume-from-replay now restores general tire wear. ![]() – Now sorting opponent filters alphabetically. – Defaulting camera zoom in and out to number pad 3 and 1, respectively. – Re-enabled some gizmos for brake wear and temps. – Added a new control “Load Vehicles” so you can load the full graphics and sound of temp cars while you are driving down a straight or parked at the side of the road. – Improved detection of controllers by checking device VID and PIDs if it failed by device name (which could happen in some cases – apparently the names are not always consistent for identical devices). ![]() Answerįind x x and y, y, where x = x ′ cos θ − y ′ sin θ x = x ′ cos θ − y ′ sin θ and y = x ′ sin θ + y ′ cos θ. X = x ′ cos θ − y ′ sin θ and y = x ′ sin θ + y ′ cos θ x = x ′ cos θ − y ′ sin θ and y = x ′ sin θ + y ′ cos θįinding a New Representation of an Equation after Rotating through a Given Angleįind a new representation of the equation 2 x 2 − x y + 2 y 2 − 30 = 0 2 x 2 − x y + 2 y 2 − 30 = 0 after rotating through an angle of θ = 45°. īecause u = x ′ i ′ + y ′ j ′, u = x ′ i ′ + y ′ j ′, we have representations of x x and y y in terms of the new coordinate system. u = ( x ' cos θ − y ' sin θ ) i + ( x ' sin θ + y ' cos θ ) j Factor by grouping. u = i x ' cos θ − i y ' sin θ + j x ' sin θ + j y ' cos θ Apply commutative property. u = i x ' cos θ + j x ' sin θ − i y ' sin θ + j y ' cos θ Distribute. u = x ′ i ′ + y ′ j ′ u = x ′ ( i cos θ + j sin θ ) + y ′ ( − i sin θ + j cos θ ) Substitute. U = x ′ i ′ + y ′ j ′ u = x ′ ( i cos θ + j sin θ ) + y ′ ( − i sin θ + j cos θ ) Substitute. It may be represented in terms of its coordinate axes. Because A C > 0 A C > 0 and A ≠ C, A ≠ C, the graph of this equation is an ellipse.įigure 5 Relationship between the old and new coordinate planes.Ĭonsider a vector u uin the new coordinate plane. Because A = C, A = C, the graph of this equation is a circle.Ī = −25 A = −25 and C = −4. We can determine that the equation is a parabola, since A A is zero.Ī = 3 A = 3 and C = 3. The graph of this equation is a hyperbola.Ī = 0 A = 0 and C = 9. Identify the graph of each of the following nondegenerate conic sections. Identifying a Conic from Its General Form On the other hand, the equation, A x 2 + B y 2 + 1 = 0, A x 2 + B y 2 + 1 = 0, when A and B are positive does not represent a graph at all, since there are no real ordered pairs which satisfy it. The degenerate case of a hyperbola is two intersecting straight lines: A x 2 + B y 2 = 0, A x 2 + B y 2 = 0, when A and B have opposite signs. For example, the degenerate case of a circle or an ellipse is a point:Ī x 2 + B y 2 = 0, A x 2 + B y 2 = 0, when A and B have the same sign. That is because the equation may not represent a conic section at all, depending on the values of A, B, C, D, E, and F. Notice the phrase “may be” in the definitions. If B does not equal 0, as shown below, the conic section is rotated. If B = 0, the conic section will have a vertical and/or horizontal axes. If either A A or C C is zero, then the graph may be a parabola.If A A and C C are nonzero and have opposite signs, then the graph may be a hyperbola.If A A and C C are equal and nonzero and have the same sign, then the graph may be a circle.If A A and C C are nonzero, have the same sign, and are not equal to each other, then the graph may be an ellipse.Identify the values of A A and C C from the general form.A x 2 + B x y + C y 2 + D x + E y + F = 0. ![]() Rewrite the equation in the general form, A x 2 + B x y + C y 2 + D x + E y + F = 0.Given the equation of a conic, identify the type of conic. So from 0 degrees you take (x, y) and make them negative (-x, -y) and then you've made a 180 degree rotation.\) When you rotate by 180 degrees, you take your original x and y, and make them negative. If you have a point on (2, 1) and rotate it by 180 degrees, it will end up at (-2, -1) We do the same thing, except X becomes a negative instead of Y. If you understand everything so far, then rotating by -90 degrees should be no issue for you. ![]() Our point is as (-2, -1) so when we rotate it 90 degrees, it will be at (1, -2)Īnother 90 degrees will bring us back where we started. What about 90 degrees again? Same thing! But remember that a negative and a negative gives a positive so when we swap X and Y, and make Y negative, Y actually becomes positive. Our point is at (-1, 2) so when we rotate it 90 degrees, it will be at (-2, -1) ![]() What if we rotate another 90 degrees? Same thing. So from 0 degrees you take (x, y), swap them, and make y negative (-y, x) and then you have made a 90 degree rotation. When you rotate by 90 degrees, you take your original X and Y, swap them, and make Y negative. If you have a point on (2, 1) and rotate it by 90 degrees, it will end up at (-1, 2) In case the algebraic method can help you: ![]() If you’ve previously signed up, no big deal. You MUST confirm your subscription using the email sent as soon as you fill out and submit the form. Use the form below to sign up for my email list to get access to the free The Very Very Very Long Dog activities. If you use something in your classroom or home, I’d love to see! Tag me on Instagram Download free games I hope you are able to use these free games for preschool and kindergarten. I have tons of free resources available for the 6-and-under crowd! CLICK HERE to check them out! Need more fun activities for preschool and kindergarteners? If you land on a star with a picture, you get to advance one more space.(Alternatively, you could also say the letter it begins with.) Say the sound you hear at the beginning of the word.Say the name of the picture in the space.Move the number of spaces indicated by the spinner.If not, there are countless other options. I couldn’t find the link when I search from my computer, but if you Google ‘online spinner’ from you phone, the Google one should appear. I highly recommend it over the spinner below. We also used an online spinner for this on my phone, which worked SO WELL. We played using one board with fruit snacks as our game pieces #whateverworks. ![]() This is another simple game for practicing letter sounds. Subitize or count the dots on the die in the space.They took turns spinning and then moving a penny according to the number indicated on the spinner. I gave them each their own game board, though if you’re playing with more than one kiddo they could share a board. Next, we used the Dice Dash game board and a simple 0-2 spinner to practice subitizing quantities 1-6. We’ll likely do lowercase tomorrow! Benny ended up the winner of this game. This is just another FUN way to review the alphabet. You could easily do this with coins, too! Tip: we used the lowercase letter cards as covers for our game. There are four different upper- and lowercase options included, plus small alphabet cards for calling out the letters. Today, reviewed uppercase letters by playing alphabet bingo. Memory is a great game to play for several reasons, including improving: And, I think they would’ve kept playing had I not said we had to move on! (We played boys vs girls so that Beck, who’s eleven, could help Ben and I could help Faith.)Īfter tying the first game, naturally there was a tie breaker! I’m not kidding – they LOVED this. I had no idea how much my kids would LOVE this game! Even big brother took a break from his sixth grade math activities to play on Ben’s team. The free printable downloads include pages with the numbers in order from 1-30 and a page where their mixed to make it more challenging. I made sure to shuffle the cards so that they weren’t in order. I showed my kids the number card, and they had to locate it and dot it on their papers. The free printables included in this post also include 1-30 cards. However, any old marker or crayon will do the trick, too!Ĭonveniently, we used the Very Long Dog Number Cards 0-30 because they were already printed. All you need is the game board, numeral cards 1-30 and bingo daubers/dotters. (School is almost over…right?!) Find the Number Game That way, we’ll be able to play them individually over the next few weeks. So, today, was a game day! I created five free games for preschool and kindergarten and decided to spend the day learning how to play them. Unpredictability is definitely one of my favorite tricks to pull out of the Teacher Toolkit. Since their attention to ‘school at home with mom’ is waning, I changed up our weekly routines a bit. So, it’s the point in the year that I need to be a circus performer to garner their attention for longer than a millisecond. 5 Free Games for Preschool and Kindergarten |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |