illustrativemathematics Illustrated Standards Count to 100 by ones and by tens. (see illustrations) Count forward beginning from a given number within the known sequence (instead of having to begin at 1). Write numbers from 0 to 20. Understand the relationship between numbers and quantities; connect counting to cardinality. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. Understand that the last number name said tells the number of objects counted. Understand that each successive number name refers to a quantity that is one larger. Count to answer “how many?” Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. Compare two numbers between 1 and 10 presented as written numerals. Fluently add and subtract within 5. Compose simple shapes to form larger shapes.
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. Initially, the area of the triangle will increase, but eventually the area will decrease, continuing until the triangle collapses. 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. Again using a trig solution, A=(1/2)absinθ, where a and b are the side lengths.
The University of Arizona - Institute for Mathematics & Education The Common Core State Standards in mathematics were built on progressions: narrative documents describing the progression of a topic across a number of grade levels, informed both by research on children's cognitive development and by the logical structure of mathematics. These documents were spliced together and then sliced into grade level standards. From that point on the work focused on refining and revising the grade level standards. The early drafts of the progressions documents no longer correspond to the current state of the standards. It is important to produce up-to-date versions of the progressions documents. They can explain why standards are sequenced the way they are, point out cognitive difficulties and pedagogical solutions, and give more detail on particularly knotty areas of the mathematics. This project is organizing the writing of final versions of the progressions documents for the K–12 Common Core State Standards.
Common Core State Standards Initiative | PTA (select any of the links below) The Common Core State Standards (CCSSI) is a joint effort led by the National Governors Association Center for Best Practices and the Council of Chief State School Officers to develop a common core of K-12 standards in English language arts and Mathematics. Read more about National PTA's position on Education Standards. The goal initiative is to develop internationally-benchmarked standards that ensure all students are held to consistent expectations that will prepare them for college and career. More than 45 states, the District of Columbia, Guam, American Samoan Islands, U.S. CCSSI Toolkit Articles of Interest National PTA Position on Education Standards National PTA volunteers have adopted several position statements and resolutions, beginning in 1981, in support of voluntary, clearer, higher academic standards for all students. Supports nationally agreed upon voluntary standards if they are derived by consensus at the state and local levels.
Stick Pick Tools for the Common Core Standards Please post questions in the forums If you have questions about the standards, please click on the Forums tab above and post them in the appropriate forum. There are forums for each K–8 domain and high school conceptual category, and a general forum for questions that do not fit in any of these. Problem with RSS Feed for Forums Fixed The link to the RSS feed for the forums (on the right of this page) was broken. K–5 Elaborations of the Practice Standards Illustrative Mathematics, with the assistance of Mary Knuck, Deborah Schifter, and Susan Jo Russell, has been working on developing grade band elaborations of the Standards for Mathematical Practice. As usual, please comment by starting a new thread in the forums. Virtual Lecture Series! Are you interested in engaging with national experts around mathematics education without the travel, hassle, and costs associated with attending a conference? Also the blog is back from a rough time over the new year. Task Talks Hope to see you there!
Implementation | Common Core State Standards | Topic Specific Sources | Web links | MC3 Register | Lost Password Skip to Content Follow us on Facebook ResourcesAbout MC3 Web links > Topic Specific Sources > Common Core State Standards > Implementation Common Core Implementation ExemplarsDate Added: July 24, 2013 Visits: 55 [ Report ] This Achieve document features state practices and models used with implementing the Common Core State Standards. Common Core Implementation WorkbookDate Added: February 6, 2013 Visits: 56 [ Report ] This link to the Partnership for Assessment of Readiness for College and Careers' (PARCC's) website provides an implementation workbook developed by Achieve and U.S. Common Core State Standards: Progress and Challenges in School Districts' ImplementationDate Added: June 10, 2013 Visits: 15 [ Report ] This link is to a Center on Education Policy report exploring the issues associated with implementing the Common Core State Standards. Common Core VideoDate Added: January 8, 2014 Visits: 98 [ Report ] Back to Top
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 Mathematics Leadership Program (MLP) - For teacher leaders, coaches, administrators and others who support elementary, middle and high school mathematics 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. From there, I created a “Personal Growth Report” for each student using autoCrat. 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. Here’s a sample… …and a link to all of the silent solutions I’ve uploaded to YouTube so far. Level 1: Level 2: Level 3:
50 Important Links for Common Core Educators Educators across the nation are working hard this summer to begin developing updated curricula that will fit into the new Common Core State Standards, which will be fully applied in 45 U.S. states (Texas, Alaska, Nebraska, Virginia, and Minnesota have opted out of statewide participation) by 2015. Yet despite the hubbub about the new standards, which were created as a means of better equipping students with the knowledge they need to be competitive in the modern world, many teachers still have a lot of unanswered questions about what Common Core will mean for them, their students, and their schools. Luckily, the Internet abounds with helpful resources that can explain the intricacies of Common Core, offer resources for curriculum development, and even let teachers keep up with the latest news on the subject. We’ve collected just a few of those great resources here, which are essential reads for any K-12 educator in a Common Core-adopting state. Groups and Organizations Useful Resources
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). 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). 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.” I didn’t mean to imply that you should offer nothing to students who aren’t sure how to get started. The students looked at him and said, “Whoa!
Common Core Standard Tag Home Showing Playlists 1-10 of 33 total: Showing Playlists 1-10 of 33 total. 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? The best little bits of software to use tomorrow, in your school, to make your classroom go? 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