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There, you’ll see a manipulative that relates the slope m and constant b of a linear equation in slope intercept form to its graph. Like physical manipulatives, virtual manipulatives are awesome tools for students trying to really understand and internalize i’d use the term grok, but i doubt that word is commonly understood, these days how a mathematical concept works. Learning objective s understand how graphing is used to represent solutions to a linear equation recognize how changing coefficients and constants change the graphed solution. Assessment type the formative assessment mentioned here should be employed as part of an introduction or reinforcement activity before students are thoroughly familiar with the concepts referred to. Assignment details in a classroom with only one internet enabled computer, one can have one of nroc’s manipulatives running on through an overhead projector. Explain the basics of what they're seeing in the manipulative, and then ask them to predict what will happen when you toggle one of the variables.

For example, to use the manipulative mentioned, remind students of the y mx+b form of linear equations, and possibly run them through how to graph one using an x,y table. Read the introduction to the manipulative aloud to the class and field any questions, but do not use any of the slider bars to change the manipulative. Then, ask what will happen to the graph if we increase the value of b in the manipulative below? how about if we make b negative? have them record their prediction and share their prediction with one partner. Then, what will happen if we make ‘m’ greater? if ‘m’ is a fraction? negative? if at all possible, though, these manipulatives should be given to students directly to explore on their own. You’ll need to give them basic direction on how to make the manipulative go, but once you have, allow them to have fun exploring the manipulative.

Eventually, structure their investigation, asking them what happens if…? questions and why does…? questions. See the example questions below so, that’s a great way to use virtual manipulatives in your classroom. I hope you have fun with them! yet, what do you do if you want a manipulative, but nroc doesn’t have it in its text? i have two go to sources, wolfram math demonstrations and geogebra. Both of which have large libraries of manipulatives and a build your own option if you need something new.

In fact, geogebra is what was used to make the demonstrations made in the nroc text. See my hints and tips below for more information on getting started with these two great manipulative resources. I’d love to see it! in summary, manipulatives are great because they instantly provide a playful math experience while allowing the student to explore and internalize if i change one thing, what happens to another? you can access manipulatives through nroc’s text, by visiting the wolfram math demonstrations page, or making your own with geogebra! example questions 1. What do you think will happen to the graph if we increase the value of ‘b’ in the manipulative? how about if we make b negative? what really happened when ‘b’ changed? 2. What do you think will happen if we make ‘m’ greater? what if ‘m’ is a fraction? negative? what really happened when ‘m’ changed? 3. Extra credit challenge! if you have two y mx+b equations graphed on the same page and ‘m’ is the same in both, but 'b' is different, what is the special name for how these two lines’ relationship? 4 points for participating well in the class activity and discussion. The first point is for any honest attempt at a prediction given in a complete sentence.

No penalty for skipping the extra credit, but take the opportunity to discuss the answer later as it introduces parallel lines. Total: 10 points instructor notes hints and tips for geogebra: download geogebra and register with them to access their materials. Browse the wiki library of resources, but be patient as things take a while to load. Geogebra's library is divided by language you won’t see a list of manipulatives on the main page. If you want information on how to create or embed a manipulative in your website, look in their introductory materials for orientation. Again, if you make a manipulative, please post me a link of your creation! i’d love to see it! hints and tips for wolfram math: you’ll need to download a cdf player free to use the demonstrations, but wow! it’s worth it. Cdf player to navigate, try looking within the topics list in the drop down menu linked to here.

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If you get stuck or find yourself with questions on how to make your own demonstration wolfram faq. Also, if you see a demo that’s almost what you want, but not quite, emailing them is very effective. Or, if you’re at all familiar with mathematica and/or programming you can make a diy manipulative here too! have a great time! learning calculus? got an assignment in calculus that is challenging your mind? wringing your brain over a problem? no need to fret anymore. Calculus home work help is a reputed educational service provider which specialises in the branch of calculus. So, wondering where we fit in? we provide assistance with homework and assignment when it comes to calculus. Not only calculus, we have a wider group that specialises and concentrates on almost any subject you name and whip up assignments and be of assistance to you.