#Geometry sketchpad activities

[pinerspiritual]

Geometry sketchpad activities

#Geometry sketchpad activities series#

Some children may need more concentration on the topic at hand, and Bob Jones Math will appeal to this group. The approach you prefer depends on your child. However, topics are not covered, then left forever they reappear in more complexity throughout the course, allowing the student continuing practice. Lesson exercises consist mainly of practice for that lesson, not a review of previous lessons or chapters. This is not the same as the "incremental" approach used by Saxon Math (see description). Lessons are "spiraled", meaning topics are reviewed throughout each level, delving a little deeper each time. Each level is themed, providing a motivation learning context. Also, Christian principles and character traits are assumed and integrated throughout the program. One of the strengths of the Bob Jones program is the teaching of concepts, rather than the rote how-to-solve-it approach. If you are looking for an alternative, I suggest the Bob Jones texts. Many homeschoolers have opted to use Saxon Math at the upper levels, but, like any program, it doesn't satisfy everyone. Starting in grade 5, texts are hardbound. This is particularly welcome for those of us with students who are not ready for a hardbound, copy-and-work system this early. Bob Jones supplies student worktexts though the 4th grade. If you are planning to use a different program at upper levels, we have found the transition seamless.

#Geometry sketchpad activities series#

We have long used the Miquon Math series and find it very effective to use the Bob Jones workbooks alongside (plus some drill products for mastery of basic math facts). If you are not using Bob Jones as the core of your math program, consider using the student workbooks as such. If you are using Bob Jones as your basal math program, you will want to invest in them, as they provide the one-on-one instruction, manipulative instruction, and offer many suggestions for presenting and enriching the concepts covered in each lesson. Teacher editions have complete lesson plans and answers to text problems. For those that want to use a more traditional, yet appealing, worktext series at the elementary level, this is perhaps the best. Elementary program texts are particularly well done - colorful, good variety of skills, and on-grade-level. Concepts are taught at the concrete level, with heavy use of manipulatives in the early grades. Geometer’s Sketchpad activities are still included in the 4 th edition, and are included on the Toolkit CD.Ī solid thorough curriculum at all levels. The Teacher Edition includes the Toolkit CD-ROM that includes visuals, projection-ready answers, activities (student activities are organized by chapter and contain extra practice, Bible integration, math history, enrichment, cumulative reviews), resources (Sketchpad files, teaching demonstrations, Technology Corner explorations, and more), and Mathardy Review Game. Is 7.5 x 9, softcover), and there is no separate Student Activities Manual. The student text is now a full-size 8.5 x 11 softcover text (3 rd ed. Added features of this new edition are increased focus on real world applications, proofs are presented incrementally, explore specific types of quadrilaterals, additional examples, expanded exercise sets, and much more. There are twelve chapters, 180 lessons – Foundations of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Congruent Triangles, Relationships in Triangles, Quadrilaterals, Area, Circles, Surface Area and Volume, Transformations and Symmetry, Similarity, and Trigonometry. Bob Jones 4 th edition Geometry, revised in 2016, is a Biblical presentation of math concepts and math in the real world.

[vplong]

Geometry sketchpad activities

#Geometry sketchpad activities update

#Geometry sketchpad activities code

#Geometry sketchpad activities tv

#Geometry sketchpad activities free

Export to several file formats and destinations, including vector PDFs and AirPrint.

Isosceles automatically stores your sketches in iCloud so your documents are available across all your devices.

This allows you to take advantage of the seamless LaTeX rendering without the hassle of learning to write TikZ code.

#Geometry sketchpad activities code

LaTeX users: Create your geometric figures in Isosceles and import them as TikZ code into your LaTeX documents.Take advantage of the simple yet versatile export options for sharing sketches with colleagues.The isometric grid snaps figures as you draw, making 3D schematics easy.Isosceles's smart snapping system takes care of neatness, letting you focus on making your clients happy with great designs.Solve construction problems and multiple choice questions after each tutorial to get the best preparation for geometry tests and the ACT/SAT.Isosceles gives you access to 16 geometry activities and over 50 practice questions in 4 categories: Intro to Geometry, Lines, Circles, and Triangles.The handy notes sidebar accessible with a single tap makes taking notes in geometry effortless.Add marks to show congruency and parallel objects, extend lines, show live measurements, and more.View and edit information about any object, such as the length of a line or the circumference of a circle.Put together homework assignments quickly by constructing diagrams with Isosceles.

#Geometry sketchpad activities tv

Connect your iPad to a TV or projector to present class material or demonstrate a construction.

Switch between four distinct templates (Classical, Cartesian, Isometric, and Polar) to fit any kind of drawing.

Insert images and graph functions directly in your sketches.

Write or draw freeform on the canvas in addition to drawing geometric shapes.

#Geometry sketchpad activities update

Create smart text annotations that update their value based on the figures and calculations you type.

Add text annotations and mathematical expressions anywhere in the drawing.

Features like double/triple lines and point styles open up new uses for Isosceles, such as drawing chemical diagrams or graphs.

Isosceles automatically snaps new additions to nearby objects, keeping your drawing accurate so you can focus on the construction.

The simple, versatile drawing tools (lines, circles, arcs, polygons, and conics) can be combined to create complex drawings.

They dilate and then translate a point, restrict these points to number lines, and ultimately observe that in the algebraic equation y = mx + b, m corresponds to the scale factor for dilation and b corresponds to the length of the vector for translation.Isosceles is the perfect geometry drawing tool for students, teachers, and professionals. In particular, students work with geometric transformations as functions that take an input point and produce an output point, and relate these functions to algebra by using them to construct the Cartesian graph of a generalized linear function. Our article summarizes our curriculum unit, Connecting Geometry and Algebra Through Functions. This unit’s Web-Sketchpad-based activities connect functions in geometry (transformations whose variables are points on the plane) with functions in algebra (whose variables are points on the number line). All of the figures were built with Web Sketchpad.

#Geometry sketchpad activities free

News alert! Scott and I wrote the cover story, Connecting Functions in Geometry and Algebra, in this month’s Mathematics Teacher. You can read the article in print, but better yet, go to the free online version. This is the first time Mathematics Teacher has incorporated live dynamic-mathematics figures into its online offerings, allowing readers to manipulate the mathematical objects in those figures as they read.

[transienturl]

the first half of the ask post you didn't reblog because you're doing them all anyways

Thanks, me!

1. coffee mugs, teacups, wine glasses, water bottles, or soda cans?Option 7, None of the above: highball glass. I looked up the glassware model I like; apparently the manufacturer calls them “nordic cooler glasses.” I much prefer glassware made of glass to any other type, and dislike the ridges/patterns on a lot of drinking glasses. Yep, I’m this picky.

2. chocolate bars or lollipops?Chocolate. I like chocolate’s texture and the way it melts, and I don’t like eating bits of paper.

3. bubblegum or cotton candy?Cotton candy. Bubblegum is gross.

4. how did your elementary school teachers describe you?Uhh… hm. “Smart,” probably, which wasn’t particularly helpful. They probably had a bunch more to say but I don’t remember what anymore.

5. do you prefer to drink soda from soda cans, soda bottles, plastic cups or glass cups?I like this ask post! As mentioned, glass cups. I like how soda cans feel in the hand but the drinking experience is just alright. Plastic is just unpleasant.

6. pastel, boho, tomboy, preppy, goth, grunge, formal or sportswear?I had to google “boho” and I’m still not super clear on what it encompasses, but it seems kinda neat! Also I have no idea what grunge really means. If I had a feminine body and thus felt like dressing up, I’d definitely pick boho out of the google image results of each of those terms.

7. earbuds or headphones?Both; if I wear either for too long I switch to the other for comfort. But I’m at least somewhat an audio enthusiast, so I could go on for a long time here. Ex:

The soundstage of open-back headphones is really unparalleled for one. Apple’s earpods/airpods actually fit me and have basically no microphonics, which usually are a big issue with IEMs for me, plus their resolution on the high end is surprisingly great.

Insert the rest of this discussion here.

8. movies or tv shows?I watch either of these not from seeking them out but from circumstance, but often wind up liking them. I’m one of those people who thinks, “I’d watch that,” and then never watches whatever that was. So I don’t really know which I do or would prefer.

9. favorite smell in the summer?Uh… hm. That’s a really good question. What’s most interesting about it, I think, is just the list of smells people associate with a season. Of course there’s environmental ones like rain, but for summer I assume you have to go with, I dunno, fair food or something like that.

Anyway, no idea! I can’t think of a lot of meaningful smells that aren’t food, honestly.

10. game you were best at in p.e.?I remember enjoying capture the flag a lot. I dunno if I was actually good at it, though. I did have pretty good short-duration speed, so I was a decent defender. I don’t really remember what else we did.

11. what you have for breakfast on an average day?Nothing. (I don’t like most American breakfast foods much, though that’s not why.)

12. name of your favorite playlist?I called it “the playlist which is entirely fire” because why not. Alternately, the playlist with all of my music is just named after me.

13. lanyard or key ring?Key ring; I’m not a… yeah actually that joke would only work for people who went to my high school and follow this blog (hi Xander).

14. favorite non-chocolate candy?That’s also a really good question and I’m positive I have an answer, but I can’t think of it. I eat candy once every like 3 months, so it doesn’t exactly come to mind easily. The candied pecans I just tried are pretty good, though. Insert reference to my halloween fanfiction.

15. favorite book you read as a school assignment?Y'know how there are some things that you remember deciding at one point were your favorite, but don’t remember well enough to properly consider now? A lot of my favorite pieces of media are like that, but I have at least some confidence in the decision I made at the time. Not so much here. I remember thinking with surprise that I enjoyed The Mill on the Floss when I read it in class, so that’s what comes to mind, but I think it’s the wrong answer. I’m pretty sure there are some books I really enjoy that I’ve forgotten were originally for class. Random example that I think is also wrong: The Hobbit. The Giver is pretty darn good, too. Fahrenheit 451. I don’t remember this being the case but we might have read A Wrinkle in Time in a class. Et cetera.

Wait, no, actually, I figured it out: Island of the Blue Dolphins. (Which, actually, goes in the “this might be too much of a childrens’ book to enjoy rereading” category along with Summerland, The Great Tree of Avalon, The Marino Mission, What the Moon Saw, The Secret of Platform 13, and Island of the Aunts, all of which I loved at the time of reading. And potentially also The Book Thief, although I doubt it. Can you tell I like award-winning children’s books, though?)

16. most comfortable position to sit in?With crossed legs or on my feet, which people seem to find weird.

17. most frequently worn pair of shoes?I only have one regularly-used pair of shoes.

18. ideal weather?Still. I can’t stand wind of any kind. A range of temperatures is nice (not too hot; not *too* cold but snow is pretty so I’ll allow a wide range in that direction.)

19. sleeping position?In a ball, or at least partially curled up.

20. preferred place to write (i.e., in a note book, on your laptop, sketchpad, post-it notes, etc.)?I haven’t written on paper in like a decade. I had to recently in order to leave a sticky note on something and had actual trouble making it legible. Essentially everything I write is on this 2013 Macbook Pro keyboard.

21. obsession from childhood?Um… existentialism? The pretend world my sisters’ and my stuffed animals lived in? Popular science topics and things from video game worlds, all of which went into said pretend world? Jet aircraft? Algebra and geometry puzzles? Configuring laptop computers?

22. role model?John Green. People who can communicate/present things effectively.

23. strange habits?I’m sure I have a ton. I’m not going to delay posting this to come up with any, but I’ll think about it. But especially if we’re using western society as the ‘norm’ for the sake of the question, I think there’s a ton of stuff I do that’d surprise people.

24. favorite crystal?Hm. I like the colorless ones like diamond, I guess? I just generally like gemstones, especially in fiction when they have powers. Oh, how’s this: I tend to like crystals that are (semi)transparent, so they have depth to them and change appearance as they’re rotated.

The other weird, mostly-unrelated thing that comes to mind is when I made a necklace for my best friend in elementary school and spent a lot of effort picking out the right sort of pendant, but I don’t think it was actually a crystal. (I often wonder what it would’ve been like if I hadn’t moved; I bet we’d still be close.)

25. first song you remember hearing?Neat question! I have no memory of a particular song being the first. My parents played music a lot when I was little, so a lot of their CD collection makes me think, “I’ve been listening to this since far before I noticed that I was.” The most recent one of those I heard and wrote down was Cathedral of the Pines by Tim Janis.

26. favorite activity to do in warm weather?…complain about the heat? :D Hm, I don’t have a lot of outdoor hobbies.

27. favorite activity to do in cold weather?…complain about the cold? :P I do like to ski somewhat. And I like hot cocoa.

28. five songs to describe you?

Eric’s Song – Vienna Teng

Doubt – Ruby Day

…hm. Looking through my playlists and the #media tag on this blog, there’s a ton of songs that I like, and where that fact tells you something about my taste in music, but it’s hard to find songs whose content particularly tells you something. Let’s just go with songs I find some meaning or relevance in?

Laughing With – Regina Spektor

Rainbow Connection – Kermit the Frog/various covers

Okay, I ran out of songs with particular meaning; let’s finish up with one whose meaning is arguably a lack of particular meaning?

Both Sides Now – Joni Mitchell

29. best way to bond with you?Talking, I guess. Boring answer, maybe, but I think most bonding experiences I’ve had were just two people talking about something important.

30. places that you find sacred?My elementary school? Is that a weird answer?

Other than that… a lot of places, really. Depending how you use “sacred,” I think it could apply in my mind to lots of unique places, especially natural-wonder type things.

31. what outfit do you wear to kick ass and take names?I haven’t got one. None of my clothes are things I’ve picked out to look good, honestly. The thing that makes me feel more “ready to go out and kick ass than usual” is, like, bringing a phone charger with me in case I run out of battery in the process of whatever ass kicking it’s going to be, and that’s not an outfit thing.

32. top five favorite vines?Remember vine? Good times.

1. A Legendary Argument (https://vine.co/v/enUmZjLFgw2/); the “just do it” “no” one

Yeah, that’s it. I don’t know of any other ones.

33. most used phrase in your phone?I… don’t know how to tell. That sounds like a cool thing to figure out but I dunno how to see that.

34. advertisements you have stuck in your head?None, thank god.

35. average time you fall asleep?Too late.

36. what is the first meme you remember ever seeing?No idea.

37. suitcase or duffel bag?I don’t really know what context to think of this question in. Like, is there a time both would be valid options? Anyway, suitcase. Honorable mention: backpack.

38. lemonade or tea?I only like either of these in moderation. Usually I’d say lemonade, but lately I’ve been disliking acidic drinks more than usual, so maybe I’ll say tea. Actually, what I like is chrysanthemum tea, which you can get at dim sum places sometimes.

39. lemon cake or lemon meringue pie?I’ll go with lemon cake. I can only eat a really small amount of lemon meringue. If someone made more of a lemon meringue tart with a really thin layer of lemon (maybe 10mm or a bit less) and a lot of crust and meringue, that could be really good though.

40. weirdest thing to ever happen at your school?If “bad” counts as “weird,” let’s just say it involved sexual misconduct.

41. last person you texted?My dad (a link to instructions to get free in-flight wifi; nothing interesting).

42. jacket pockets or pants pockets?I prefer to put stuff in pants pockets so I have them if I take off my jacket, but then my pants fall down because I have no hips and my pants are all regular-person sized.

43. hoodie, leather jacket, cardigan, jean jacket or bomber jacket?I immediately crossed off everything except hoodie and cardigan. With a different body I’d definitely pick cardigan.

44. favorite scent for soap?Unscented.

45. which genre: sci-fi, fantasy or superhero?Eh, I mean, I think they all have potential. I’d pick sci-fi or fantasy over superhero; print comics have never interested me at all, though I’m sure there’s interesting stuff in there too.

46. most comfortable outfit to sleep in?I feel like it’s just whatever you’re used to, honestly.

47. favorite type of cheese?Maybe fresh mozzarella? Either way, it’s going to be something people who really like cheese would barely count as cheese.

48. if you were a fruit, what kind would you be?If I were a fruit… not to take it too literally, but I can’t think of a better way to interpret it. Um… a ground cherry, because it’s cute and has a place to hide in.

49. what saying or quote do you live by?“Hope is the correct response to the human condition.”

There are probably better ones that correspond to things I live by more, but that’s the one I have a quote for. Guess who it’s by? I’ll give you one guess.

50. what made you laugh the hardest you ever have?Not sure. Show of the Weekend (@outsidextra) definitely wins “hardest laugh that I can remember recently” though.

[austinonymous]

FFXIV Fanfic- “Professional Admiration”

Title: Professional Admiration

Fandom: Final Fantasy XIV - A Realm Reborn

Ship: Alphinaud x Male Warrior of Light

Characters: Alphinaud, Alisaie, Miqo’te Warrior of Light (Ahleh’li)

Rating: T (because I’m paranoid)

Summary: On the way back to Eorzea after freeing Doma, Alphinaud can’t help but watch the Warrior of Light- something that amuses his twin sister to no end.

Fingers ran along the weathered border of the codex, his quill quickly dipping into the inkwell to the side. Even from this distance, the smell of old books and ink filled the air as the owner began the meticulous process of studying and copying over new formulae and arcane geometry into the newer book's pages. His gloves lay to the side of the desk as he peered through his monocle to the pages, examining each letter and curve of the glyphs with sharp criticism and consideration. The quill swept across the newer book's pages, copying ancient wisdom from ages past. Black ink blossomed from the tip, drying as he carefully kept his white coat from smearing his meticulous work. Each dot of an "I" and each crossing of a "T" was done with a precision that few afforded the man at first glance. Indeed, even as his eyes stayed steady and his fingers precise with practiced grace, his feline ears twitched, catching each and every sound of the room as people bustled back and forth through it. His tail, long and fluffy, seemed like it wanted to do anything but lay still despite his own diligence. His usual energy was tightly bound as he continued his craft, his knowledge and soul being etched by the instrument into each page he wrote in. The dark charcoal skin of his fingers had a few hard-to-see stains of ink on them; a cause of slight embarrassment by the man, if his near-constant use of gloves and gauntlets was any indication. Here though, his guard was down as he engaged in an activity that some could only call therapeutic for the warrior. 

Candle-light flickered, reflecting off his dark skin and darker tattoos, running up his face and on his forehead. His snowy eyebrows furrowed as some wayward thought crossed his features. An ear tilted down in a way that could only indicate he had come across a problem, some conundrum his scholastic intelligence was now racing to solve and beat into submission like so many Garlean soldiers.

"Brother, you're staring again." Alphinaud jerked a bit, caught off guard by his twin sister's sudden whispered words near his ear. He gasped as she chuckled, a light and airy sound. Blood rushed up into his face, pooling beneath his cheeks as he realized he'd been caught. Of course, he could not get anything past Alisaie, even when he hadn't intended to try and cover up his actions.

"Ah, Alisaie, I-I'm not sure what exactly you mean by that," He said distractedly, looking away from his original object of study, Ahleh'li. "I was simply checking to see if our beloved Warrior of Light was getting adequate rest!" He said flustered, "After all, the siege of Doma Castle was only a few days back and you know how he can overwork himself!" Alphinaud said in his defense, his sister giving him a bemused glance all the while. 

"Oh yes, he certainly does have the habit- you would know that first hand wouldn't you dear brother?" She said, leaning back against the wall, crossing her legs. Alphinaud had to say, he did not like the smirk that she bore across her face. "Long days and nights traveling alongside him, watching him slay primal and Imperial alike. You've always been there by his side to assist him should he need it. Hm, but I will say, Ahleh'li is always quite willing to help you out as well should you need it in turn. He's quite eager to in fact."

Alphinaud huffed a little bit, the blood staying coalesced in his cheeks. Yes, he had traveled quite extensively with the Warrior of Light over the past year. From Ahleh'li helping him with the Crystal Braves to them tracking down and dealing with primals- even when they had been betrayed, Ahleh'li had been by his side, and Alphinaud had been by the other's as well. He wasn't sure what Alisaie was implying- oh, confound it, he knew exactly what she was implying with all this. Not that he was going to amuse her by coming out and saying it.

"Well! We are colleagues and friends after all. It only makes sense that we would journey with each other at least once, sister." he was distracted by movement from Ahleh'li and his heart raced- had the keen-eared Scholar overheard their conversation? Alphinaud calmed a bit when he saw Ahleh'li had merely been brushing aside his snowy bangs from his eyes. He looked back at Alisaie, who was smirking in triumph. Damn it all, his heart had betrayed him once again, and so openly.

"We are twins are we not Alphinaud? And as Krile said herself, you've always been such a terrible liar. I've seen you moony-eyed over many a girl, though I didn't expect such infatuation with our Warrior of Light." Alisaie teased him with a falsely-innocent smirk. She tapped the sketchpad that he'd left on the table next to him, a knowing grin adorning her features. "How many pages of this includes very detailed sketches of a certain cat?" 

Alphinaud gaped at her, wisely not denying her comment nor challenging her to examine it. Even the more innocent of sketches would be enough to indict him, let alone the ones he'd managed to do when Ahleh'li was training shirtless. "I assure you Alisaie, it is not what you think. While I do count Ahleh'li as one of my closest friends and most trusted confidantes,  it is not in the way you assume!" Damn his body for betraying him; he could feel the very obvious blush on his cheeks refusing to leave despite his best efforts, "It is simply... professional admiration for him, as a fellow man of summoning and as a man of action."

His sister let out a good laugh at that, "A man of action, eh? And what, pray tell, are those 'actions' you are thinking of?" She stood as Alphinaud spluttered, taken off guard by such a comment from his sister of all people. She smoothed out her clothes, a wide smirk still on her lips as she made to leave, apparently having decided she had tormented him enough. "You know, you should really do more than admire from a distance. Proper admiration is done up close and personal," Alisaie said, giving him a wink before leaving him behind, leaving him a blushing mess. By the Twelve, what was that about! Could he not sit in peace! 

Alphinaud pinched his nose as he fought down his blush. He had merely been lucky that Ahleh'li had not overheard their conversation.

"What was that all about Alphinaud?"

The short elezen's eyes shot open wide as he squeaked, a bit more girlishly than he'd care to admit, as he realized the dark-skinned Miqo'te was standing above him, Codex in hand and a questioning look on his face. Alphinaud quickly shook his head, letting out a short but nervous laugh, "Ah-ha! It's, ah, nothing to worry about Ahleh'li! My sister was simply being her usual self, nothing to be too concerned about," He promised his friend, pale face still a bit red.

A snicker from the Warrior of Light made Alphinaud smile. The Miqo'te's tail swished behind him as Ahleh'li motioned to the seat next to Alphinaud that his sister had just vacated, "Well then, if you wouldn't mind my presence I had a few things to talk to you about." Alphinaud nodded quickly, smiling as Ahleh'li took a seat.

"Thank you Alphinaud; I was theorizing about ways to possibly improve my Aetherflow in the midst of combat to extend my healing spells." Ahleh'li explained as Alphinaud looked over at him, having to look down slightly for once. The other male was barely taller than him when standing and with Ahleh'li's natural hunch when sitting, the feline man was just shorter than him. "With Krile and Y'shtola back in Eorzea, I have no one to bounce my ideas off of. Plus," Ahleh'li seemed a bit sheepish now, "It's always awkward talking with people with so much more learning than me when I'm mostly self-taught. And you're just a little younger than me and all so..." He trailed off a bit awkwardly as Alphinaud gave him a bright smile.

"It's fine Ahleh'li! I'm more than happy to help you with anything you need- I'll admit I don't know much about the ancient Scholar arts, but hopefully my arcane knowledge will be enough to suffice..." He said as they began to animatedly talk, leaning over the same books, shoulders touching and Ahleh'li's tail curling up near Alphinaud.

Alisaie watched them from the doorway, the gentle sway of the ship underneath her feet. She shook her head, chuckling as she watched her twin blush and talk with the other male. "Professional Admiration" indeed.

[calcyoulaterteach]

Academic, Civic, Community & Career Connections

Desmos

Desmos is a wonderful tool for mathematics education.  While I have been using desmos for several years, I have not explored the premade resources.  Through the blog of Dan Meyer (dy/dan) I came across the following resource on the Intermediate Value Theorem.  I introduce this theorem in PreCalculus and like many theorems, it may seem obvious (it does to me).  This interactive exploration leads students to the (arguably) critical component of the IVT which is that the function must be continuous! I have studied and taught this topic multiple times in multiple courses (precalculus/calculus), but the way this activity navigates through the possibilities is beyond anything I have experienced with this topic.  I can’t wait to have my Calculus and PreCalculus students explore this topic!

Interactive Geometry - Here are two geometry tools that students can use to interact with geometric shapes and figures.

Geogabra

Geometer’s sketchpad

These two resources give students the opportunity to manipulate geometric constructs in order to better understand theorems, algorithms, and properties in geometry.

Poll Everywhere

This free tool is a great way to get student responses in real time.  I recently set up a multiple choice poll.  They also offer free response, clickable images, ranking, and word clouds.  The paid version includes reporting features as well as reporting and grading features. There are many ways to leverage this interactive tool in ANY classroom and beyond!

TI Nspire

One of my go to mathematical resources is Mr. Tarrou.  On his website Tarrou’s Chalk Talk, there is a section for TI-Nspire tutorials. Students (and teachers) can use these videos to learn how to effectively utilize this dynamic calculator to help visualize the functions, geometric figures, statistical analysis and more!

Texas Instruments also offers tutorials and other resources.

Extra Practice with IXL

IXL is a good tool for students to practice skills.  Students work toward mastering a skill by solving problems of increasing difficulty as they get problems correct.  Incorrect responses offer students an explanation so that they can improve and hopefully solve correctly on the next attempt. Teachers have access to a dashboard showing how many and which students are currently practicing.  The dashboard also suggests students that may need help.  I have utilized this feature to assist students while circulating the room during in class practice.  This site does require a membership

The above resources all help students become college, career and community readied.  By giving students the tools to visualize and practice their mathematical skills on both an individual and group level, their understanding is enhanced and increased.  Poll Everywhere in particular is a resource that can be utilized in presentations in college as well is into the workforce and even beyond into the community to gather information that can be used to help others.  IXL may be the one example that presents an issue in regards to equity as it does require payment to fully utilize this resource. I recognize that I am fortunate my school has a subscription, but if I did not have this resource available, I would consider trying to obtain the funds as this site is useful for practice and skill mastery.

Keep on connecting!

[desmos]

The Desmos Geometry Tool

Desmos is proud to announce the beta release of our geometry tool. You can find it at www.desmos.com/geometry, with support materials at learn.desmos.com/geometry.

"Beta" means this product will continue to change in ways small and large. "Beta" means we're in the process of creating helpful documentation, tutorials, and examples. "Beta" means we don’t warranty this product for your classrooms or presentations just yet, and if you use it in those contexts you should offer lots of assistance along with all of these disclaimers.

“Beta” also means we want your feedback. (Send email to feedback@desmos.com or tweets to @desmos.) What features do you want? Do you see sharp edges that need sanding? Tell us what you like and, more importantly, what confuses or surprises you. Your feedback makes us and our products stronger.

Our goal is to release our geometry tool without the "beta" label sometime over the summer, right in time for the start of the 2017-2018 school year in North America. Even at this early stage, we wanted to let our users know why we’re building this product, and how we envision its integration with the rest of our toolset.

Why did we build geometry?

We grew up as students of interactive geometry software. Pioneers like Geometer's Sketchpad and Cabri laid the groundwork for an entire industry. Other tools, like Geogebra and Euclidea.xyz, have since emerged with their own unique perspectives, strengths, and weaknesses.

Given this wealth of great existing technology, why did we choose to build our own?

First, our goals are different than those embodied by most of those other tools. When we design products, we design first for students who struggle with math and we assume they may also struggle with technology. We strive for a student's first creation with our tools to feel effortless and joyful. For that reason, our geometry tool has a far shorter list of features than some of those above. We will carefully expand that list over time, never trading power for ease-of-use.

Second, we wanted a geometry tool that integrates cleanly with the rest of our products. We wanted a lightweight, blazingly fast, browser-based tool. We wanted a Geometry API for partners that closely resembles our Graphing API. We wanted a tool that could fit neatly inside of our Activity Builder.

We don't intend our work in geometry to replace the existing set of interactive geometry tools, but rather to supplement them. We hope our work will open up the magic of synthetic geometry to millions of new students.

Will geometry be free?

Yes. Our geometry product will be completely free, now and for as long as we support it.

We can't promise that Desmos will always exist (though we promise to try!) nor can we promise that we will always support any given product. (As a small organization, focus is critical and we can only support products that we believe have the biggest impact.) Our promise, instead, is to never move any of our free products behind a "paywall." We won't ever charge you for products that are free today.

We can sustain that promise because we've partnered with organizations who license our products for commercial use. Those organizations – dozens of them, both large and small – get access to our APIs, which makes it possible to integrate our technology into their programs. They also get access to the knowledge and experience of our team. Partnerships fund our growing business and allow us to keep our products free for teachers and students.

You'll soon see our geometry tool in products from organizations like Pearson, College Preparatory Mathematics, and Kendall Hunt. If you see one of those products, give it a good, critical evaluation. We only work with ambitious partners who care deeply about teachers, students, math, and technology. And if that sounds like your organization, please email an introduction to partnerships@desmos.com.

[blogcmbeall-blog]

5E Lesson Plan - Geometry

Teacher:  Catie Beall

Date: 02/17/19

Subject / grade level: Geometry  / 9th-10th

Class length: 50  minutes                                

Materials:

- overhead projector and pens  - computers with Geometer's Sketchpad software  - worksheets for all students to complete for homework

- tangrams

 NC SCOS Essential Standards and  Clarifying Objectives:

Standards:  Geometry 9-12 (National Standard)

  C8. Use  trigonometric ratios and the Pythagorean Theorem to solve right triangles in  applied problems.

Common  Core State Standards for Mathematics (National Standard)

  5c. Students break problems into component parts,  extract key information, and develop descriptive models to understand complex  systems or facilitate problem-solving.

Lesson objective(s):

  Students should learn to apply the Pythagorean  Theorem to word problems.

  Student should be able to determine the lengths of two sides of a 45 – 45 – 90 triangles when the length of the third side is given.

 Differentiation strategies to meet diverse learner needs:

There  will be two types of learning styles met. Manipulative learning will also be  involved in this lesson.

ENGAGEMENT

·          Ask questions over vocabulary as a review.

·          Discuss ways you can use the properties of  parallelograms to solve real-world problems.

·          Triangles  are part of our everyday life. Architecture, road signs, pyramids…can you

             think of others?

 EXPLORATION

·          Students  will complete a quick worksheet using Pythagorean Theorem applications. They  will have 10 minutes to complete the worksheet, whatever they do not finish  they will take home for homework. After the 10 minutes is up they class with  move to a manipulative exercise in groups.

·          Using a  Math Manipulative: Tangram activity – this activity requires students to  manipulate tangrams to discover the geometric properties of a triangle.

·          Students  will access geometer sketchpad on their devices. They will answer the  following questions. Students will be broken up into groups of three to  complete this assignment. Each student will need to answer the questions on  their own sheet of paper but need to discuss problems amongst themselves as  well.

1. Measure the angles of the triangle. How can  you classify the triangle by its angles?

2. Measure the lengths of the two legs of the  triangle. What do you notice about these lengths? Move the points on the  triangle around and see if your conjecture always works.

3. How can you classify the triangle by its  sides?

4. What is the relationship between the legs and  the hypotenuse?

5. Is this relationship always true? Move the  points on the triangle around to test your conjecture.

After all groups are finished, tangrams will be  passed out to all groups. They will manipulate the tangrams into different  shapes and come up with three “architecture designs”.

They will write down describing their designs on  their paper.

 EXPLANATION

·          What is a  triangle? What geometric shapes can be constructed from a triangle? How would  you solve real world problem with Pythagorean Theorem?

·          The students will then give justification to their  answers during a class discussion.

 ELABORATION

·          The students will elaborate their understanding of  the properties of triangles.

·          As  a class, they will discuss how previous units and chapters relate to what  they learned in this lesson.

·          Vocabulary will be introduced from the next unit  for the students to make connections for prior and future learning.

 EVALUATION

·          Students will be required to complete  worksheets during class/for homework consisting of problems involving  applications of the Pythagorean Theorem and special right triangles.

·          In their  groups, if the constructions are correct, each student will be able to show  their three-dimensional final architecture  designs. I will ask each student to show me their final product. I will walk  around the room observing and answering any questions. During the process as  well listening to conversations to make sure they are understanding.  Questions will be asked at the end of class for understanding as well.

[sdeckermike]

What Is CAD Software, and Do Construction Managers Need It?

If you’ve been doing building design the old-fashioned way, all that paper piling up, and the intense work that it takes to prepare it, may have you longing for a better way.

As a construction manager looking for software, maybe you’re familiar with the idea of computer-aided design (CAD), but you’re intimidated by the prospect of overhauling your current way of doing things in favor of new technology.

Perhaps there’s good reason for trepidation on your part. And, as this executive summary from a Stanford University paper indicates, you’re not the only one who’s slow to adopt it, although, there’s no reason to hesitate:

Despite the industry’s slow progress toward integrating the entire design and construction process, computer-aided design tools (CAD) have evolved to a point where they can support field engineering and construction operations apart from a total integrated environment. … Constructors who use CAD will be able to improve their field engineering activities; constructors who innovate with CAD will develop new construction aids that will significantly improve their overall construction operations and gain a competitive advantage over their non-automated competitors.

Just one thing about that summary: The paper it comes from was published 27 years ago.

Yep, CAD software has been around that long. And it’s a pretty mature technology at this point, so there’s no need to worry about getting involved in something untested—although you’ll certainly need to do your research when it comes to finding the right CAD software option for you.

But what is it exactly, and how can it help your construction business see immediate benefits? We’re breaking it all down below.

Interface of AutoCAD

What is CAD software?

CAD, or computer-aided design, refers to any software used by architects, engineers, or construction managers to create precision drawings or illustrations of new buildings as either two-dimensional drawings or three-dimensional models.

What does CAD aim to solve? CAD was developed so that designers and architects would have a more precise way of producing models of the things they want to build, helping them avoid costly mistakes. By switching from paper to software, construction managers use CAD to make pinpoint accurate measurements, spot design flaws, and conduct advanced analysis on designs that they wouldn’t be able to do otherwise.

What information does CAD software display? All CAD software is different, but at its heart is geometry. All CAD software will have X (horizontal), Y (vertical), and Z (depth) coordinates. Using these coordinates, CAD software allows users to create two- or three-dimensional models, depending on their needs.

How do architects, engineers, and construction managers use CAD differently? Engineers and architects design buildings from the ground up. As a construction manager, you need to take those designs and turn them into actual buildings, so you may not use CAD software as extensively as an architect does. However, CAD software is helpful for simplifying blueprints or providing uniform measurements, and also for making adjustments once the project is underway. It’s a tool that makes your life a lot easier when you find you have to go back to the blueprints—and you always will at some point during a project.

What do you need to get started with CAD? If you’re prepared to spend money upfront, you can try the most popular CAD software, AutoCAD. AutoCAD is the industry leader, and our reviewers see it as a powerful tool that has a lot of clout with engineers and architects, making it worth the price. One reviewer describes it as a “very feature rich application with more functionality than I would ever ask of it.”

But if you’re a construction manager who doesn’t need a million features, you can try some less expensive AutoCAD alternatives. Or, peruse our CAD software directory to see if there’s another option that fits your construction project.

The History of CAD

CAD software started in the early 1960s with a program called “Sketchpad,” which was invented by a student at MIT. The designer could interact with a computer by using a light pen to draw on the monitor—pretty impressive technology back then.

Image of Sketchpad via Wikimedia

By the 1970s, CAD was starting to migrate out of research and development and into commercial use. Automotive and aerospace manufacturers took an interest in the technology and started incorporating CAD software into their companies.

Through the 1980s, CAD software continued to slowly develop and grow, although it remained mostly inaccessible to smaller companies, due to its high cost. The availability of the software accelerated with the exploding popularity of personal computers in the 1980s and 1990s.

The growing power of computers to produce 2D, and even 3D models, in the 2000s, along with the falling price of CAD software, has opened up its accessibility to everyone from the big dogs of the industry to construction managers on small projects.

Benefits of using CAD for construction managers

Interface of ProgeCAD

CAD enables you to better visualize the building, and all the parts that go into it, from the steel beams to the tiniest of screws. This puts an incredibly accurate blueprint of the building at your fingertips, allowing you the flexibility to make change decisions on the fly and make sure you’re not missing anything as the project progresses.

CAD also results in a higher-quality design, because the accuracy level is higher than relying on paper blueprints. That further means you’re less likely to make costly mistakes that result in delays.

Then there’s the documentation. Unlike with those papers piled up on your desk, everything is neatly organized on your computer and easily accessible. And these days, most CAD software lets you access your plans from the cloud, so you can pull it up in an instant on your mobile phone if you wanted to.

Things to consider before buying CAD software

Interface of Sketchup

Our engineering CAD software directory includes dozens of options, so there are a few factors you’ll need to consider before settling on a CAD software solution.

Different platforms. CAD software options run on a variety of different platforms, so you’ll need to take that into consideration. For example, some run on Unix-like systems, some don’t. Some run on Windows and some on Macs. Some work on mobile platforms such as iOS and Android.

2D or 3D. Another main dividing factor is whether they offer 2D modeling, 3D, or both. Most of the time, you’re going to want 3D functionality, but sometimes for simple projects, a 2D model is all you really need.

License. The license is important for construction managers who want to modify software to make it ideally suited for their business. Most software options are proprietary (meaning it’s sold as-is and you can’t make changes to it), but there are some open-source versions out there.

Compatibility with BIM. Not all CAD software supports another popular and much newer technology known as building information modeling (BIM). BIM is similar to CAD, but unlike a simple 3D CAD file, a BIM file includes key performance characteristics, specifications, and connections that are helpful to construction managers.

Other considerations. Individual CAD software will each have their own benefits and drawbacks. For example, Microstation PowerDraft costs less than AutoCAD (although it’s still $2,500), but some reviewers think it’s not as good at 2D as AutoCAD. For example, one reviewer complains that MicroStation is a “bit too convoluted” and complex for basic 2D drafting, while AutoCAD reviewers praise the software for its ease of use in 2D.

Chief Architect creates very detailed models, but is primarily geared toward home design and, as the name implies, architects.

Some CAD options, such as Sketchup and ProgeCAD, aim to be easy to learn while leaving off some of the more advanced features. For most construction managers who don’t need to get down in the weeds with a design, this is usually enough.

Also, you’ll need to check whether the software supports file types you’ll be using. DesignCAD is a solid option, for example, but it lacks compatibility for STL, DGN, or SKP files. When you choose CAD software, you’re going to want it to at least be compatible with DWG, DXF, and DWT files, the most commonly used in the industry.

Recent developments in CAD software

(Interface of Chief Architect)

So how is CAD software changing, and what could the market look like in the next five years?

The trend appears to be toward further developing 3D capabilities. Right now, CAD software still relies heavily on 2D drawings, and builders are expecting software developers to make it easier to create 3D structures.

Automation is another emerging trend. Construction managers want software that will automate data input and assess the quality of the design in real time. And they’re going to expect it all to work with the cloud.

Then there’s cost. CAD software used to be extremely expensive, but as more software developers enter the market, the price is dropping. This lowers the barrier for entry that kept out many of the smaller construction companies.

Another exciting area of development is to make CAD software that allows customers themselves to make tweaks to the design. Of course, the idea of a client breathing down your neck and making last-minute changes may stress you out, but it’s something to think about.

What gets you excited about CAD?

Clearly, you’ve come looking for answers about CAD. What are you hoping CAD can do you for your construction business? Have you used CAD software in the past? Do you have strong opinions on the issue? Please, let us know in the comments below.

The post What Is CAD Software, and Do Construction Managers Need It? appeared first on Capterra Blog.

from Construction Management – Capterra Blog http://blog.capterra.com/what-is-cad-software-and-do-construction-managers-need-it/ via Capterra from Blogger http://sdeckermike.blogspot.com/2017/05/what-is-cad-software-and-do.html via blogger