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NCTM Brain Teasers

NCTM Brain Teasers
Sliding Triangle The triangle at left lies on a flat surface and is pushed at the top vertex. The length of the congruent sides does not change, but the angle between the two congruent sides will increase, and the base will stretch. What is the maximum area achieved during this process? This brainteaser was written by Derrick Niederman. Solution: 200 square units; 32 units. For the first part of the question, the maximum area occurs when the angle between the sides is a right angle. For a more advanced trigonometry solution, remember that the area of a triangle can be calculated by taking half the product of two sides and the sine of the angle between those sides. For the second part of the question, note that if you bisect the original triangle, divide it into two right triangles, and rearrange the pieces, you can form a new triangle with exactly the same area. Again using a trig solution, A=(1/2)absinθ, where a and b are the side lengths.

Stick Pick Math Tests and Quizzes That Are Aligned Core Math Curriculum Math Tests and Topic/Skill Based Quizzes We now have a full line of tests for each section of the common core curriculum. Test are fully available to members for immediate download. There is a test sampler in each section for those who haven't signed up yet and want to see what it is all about. Tests By Grade Level Kindergarten Level - You'll find a multiple choice version, short response, and all 5 individual content areas in their own quiz.Grade 1- The level of the material seems very difficult for first graders, but it is perfectly aligned.Grade 2- The extended response test form is difficult for most students at this level.Grade 3- Geometry comes to life, at least a little more.

14 Excellent YouTube Math Channels for Teachers and Students February 10, 2014 Since the posting of "20 Great Math Websites for Teachers and Students", I have received some requests from math teachers asking for websites that provide quality math videos. Upon checking my archive and some other online resources, I deemed it necessary to compile this list of Math YouTube channels to share with you. These are basically channels where you can have access to a wide variety of math videos and tutorials to help your students with Math. 1- Mr. TenMarks' web-based math program is used by students across 25,000 schools and 7,000 districts. 3- Mathademics: Mathademics is a community learning tool based out of Northern Illinois. This is one of the most popular YouTube channels that offers free video lessons and tutorials on a wide range of subjects including Math. 5- The Video Math Tutor: This is a useful channel that provides several tutoring math videos covering different topics including basic math lessons, calculator tips, and brain teasers.

Standards-Based Grading | When Math Happens When Math Happens Leave a comment Standards-Based Grading The following 4 links are a snapshot of how Standards-Based Grading works in my classroom. Below are resources that are helpful for exploring and implementing Standards-Based Grading. Share this: Leave a Reply Create a free website or blog at WordPress.com. | The Chunk Theme. Follow Get every new post delivered to your Inbox. Join 47 other followers Build a website with WordPress.com Mental Imagery Almost all of mathematics could be described as ‘mental’ in the sense that engaging in a mathematical task involves thinking. Thus every mathematical problem a pupil tackles must involve several stages of mental mathematics. Pupils actively involved in mental mathematics might be engaged in any combination of: interpreting, visualising, analysing, synthesising, explaining, hypothesising, inferring, deducing, judging ,making decisions & justifying These ideas are prevalent throughout mathematical endeavour and underpin the work of using and applying mathematics. These 6 booklets cover a few key areas likely to influence pupils’ progress beyond level 5. Number Talks A Number Talk is a short, ongoing daily routine that provides students with meaningful ongoing practice with computation. PowerPoint Explanation Number Talks 1 Number Talks 2 Level 4 Problems Level 5 Problems Level 6 Problems Level 7 Problems Level 8 Problems Maths Talks This new blog is at mathtalks.fawnnguyen.com. Mental Imagery

Responding to Student Progress | When Math Happens One area where I need a lot of growth is responding to the progress of my students. Specifically, what are the next steps after I’ve identified the level of understanding in certain concepts? I recently decided to tackle this challenge during our review days for the state assessment. The goal was to review the most tested concepts, but I also wanted the kids to work on their biggest struggle areas. I began the process by consolidating all of the data from concept quizzes throughout the year. Here’s a tutorial video showing the process of creating these reports. This is a similar idea to the Growth Mindset Reports I blogged about a few months ago. For the original reports, I had the students self-assess their understanding of each concept because I was concerned about classroom status issues. I created several silent solution videos as the first step toward responding to student progress (the idea came from Kyle Pearce and Cathy Yenca). Here’s a sample… Level 1: Level 2: Level 3: Level 4:

Free Printable Math Worksheets -- Eraserdog.com One Example of a “Bad Hint” :: Annie at the Math Forum A couple of weeks ago during the Sunday night #probchat on Twitter the topic of hints came up. (You can read the whole conversation at Storify.) A few people started talking about possible “good” and “bad” hints, and I wondered how we’d gotten onto the topic of hints, rather than talking about possible solution strategies (which was the current question posed in the chat). So I chimed in with I know hints are a hot Twitter topic right now, and I agree that you do, as a teacher, want to have a plan for what to say to kids who are stuck somewhere specific (that you expected them to get stuck). But most of the hints that we give are really shoves (some very gentle, some more forceful) in a particular direction. figure out what the student understands about the storyhonor where the student is and what they’ve thought of so farlet the student do all the work and make all the decisions Yes, even if they say, “I don’t know how to start.” The students looked at him and said, “Whoa!

Mathed Up! 52 Of The Best Apps For Your Classroom In 2015 52 Of The Best Apps For Your Classroom In 2015 by TeachThought Staff This post was sponsored by CK-12, a non-profit foundation that creates and aggregates high quality curated STEM content. What are the best apps for your classroom? This is, strangely, not a frequent topic for us. But what if that’s not your bag? This is the reality that, if statistics don’t mislead, most of you face on a daily basis. Let us know in the comments any that were what-were-they-thinking-missing-that-one? 52 Of The Best Apps For Your Classroom In 2015

Education Week UserID: iCustID: IsLogged: false IsSiteLicense: false UserType: anonymous DisplayName: TrialsLeft: 0 Trials: Tier Preview Log: Exception pages ( /tm/articles/2015/05/26/6-tips-to-get-blogging-this-summer.html ) = NO Internal request ( 198.27.80.148 ) = NO Open House ( 2015-05-28 11:11:02 ) = NO Personal SL : ( EMPTY ) = NO Site Licence : ( 198.27.80.148 ) = NO ACL Free A vs U ( 2100 vs 0 ) = NO Token Free (NO TOKEN FOUND) = NO Blog authoring preview = NO Search Robot ( Firefox ) = NO Purchased ( 0 ) = NO Monthly ( dec8ae01-ab13-01da-2d70-f0c70e0cb33d : 1 / 1 ) = NO 0: /teachers/classroom_qa_with_larry_ferlazzo/2014/04/response_one-to-one_technology_is_really_about_building_effective_relationships.html Can add to monthly ( /tm/articles/2015/05/26/6-tips-to-get-blogging-this-summer.html ) = NO Access denied ( -1 ) = NO Search Robot ( EPE Bot ) = YES

An "Old Math Dog" Learning New Tricks I have been meaning to blog these for a while.Below you will find the materials that I put together to use throughout my Statistics Unit. These are the learning targets that I used: I will be honest with you all, dear readers. I pretty much had to create stuff from scratch. I have pulled some problems from various places on the interwebs, but I could not tell you where stuff came from. I don’t have many activities here. Please feel free to use and adapt what I have published here. (Many of these are labeled with the Learning Target (LT) designations from above – you may want to look at the table to help you know what goes with what.) Learning Target 20 Examples – Examples used in class for LT20 (I can describe the center of the data distribution (mean or median).) Download (DOCX, 11KB) Learning Target 20 Exit Slip -Exit Slip for LT20 (I can describe the center of the data distribution (mean or median).) Download (DOCX, 11KB) Download (DOCX, 11KB) Download (DOCX, 10KB) Download (DOCX, 12KB)

A Comprehensive Guide of Everything Teachers Need to Know about Google Classroom May 26, 2015 Since its release awhile ago, Google Classroom has been such a hit in the EdTech world with millions of teachers already incorporating it in their daily instruction.With this widespread use of Google Classroom, Google rolled out a host of important updates to improve the functionality of Classroom and to respond to the emerging needs of educators. All of these updates are included in this post. Today’s post is intended to help teachers and educators make the best of Google Classroom by providing them with access to some very useful resources, materials and tips on the use of Classroom in education. All of these resources are created and provided by Classroom Help Center. 1- What is Google Classroom? “Classroom is designed to help teachers create and collect assignments paperlessly, including time-saving features like the ability to automatically make a copy of a Google document for each student. 2- How does Google Classroom Work? Teachers Students

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