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.
Using Writing In Mathematic Using Writing In Mathematics This strand provides a developmental model for incorporating writing into a math class. The strand includes specific suggestions for managing journals, developing prompts for writing, and providing students with feedback on their writing. In addition, the site includes two sample lessons for introducing students to important ideas related to writing about their mathematical thinking. Teaching Strategies For Incorporating Writing Into Math Class: Moving From Open-Ended Questions To Math Concepts Starting Out Gently with Affective, Open-Ended Prompts Writing about thinking is challenging. Begin with affective, open-ended questions about students' feelings. Have students write a "mathography"-a paragraph or so in which they describe their feelings about and experiences in math, both in and out of school. Encourage students to keep their pencils moving. Try requiring 20 words per answer, even if they have to copy the same words again to reach 20. 1. 2. 3. 1. 2. 1.
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.
Math Games Practice addition and subtraction skills in this fun puzzle game. Select from adding, subtracting or both and choose between a range of 10, 20 or 100. Find the matching cards. Count up the Easter Eggs shown and find the card that shows the same number. Count up the blocks shown in each square. Drag the correct number from the bottom onto the top of the same number of blocks. Practice counting skills in this fun online game. Find the matching cards. Practice addition skills with sums up to 100 in this fun puzzle game. It's color by number! Complete the pattern. Look at each picture math equation. Match the analog clocks with the correct time to make an Easter picture. Practice addition, subtraction, and multiplication in this math version of Pacman. Practice addition skills by matching the correct answer to each question. Look at each picture math equation. Practice multiplication skills with factors up to 12 in this fun puzzle game. Connect the dots in order to make a Winter picture. Help Mr.
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 Kay Toliver: Math and Communication Math and Communication by Kay Toliver Before I taught mathematics in grades 7 and 8 at East Harlem Tech, I taught all of the other elementary grades, starting with the first and gradually moving up through each grade, one at a time. It may have been this background which led me to want to use mathematics instruction to develop my students' communication skills, because I saw that, for all students in all grades, communication skills were among the most important abilities that I could help them to develop. Over the years I have learned that there are two sides to this coin. Not only can I use math class to develop children's abilities to speak, read, write and listen, but by stressing these communication activities I am able to be a better mathematics teacher. By encouraging students to speak up in class, to explain their reasoning, and to define the words that we are using, I learn a great deal about how well they understand the lesson. Make it easy for students to speak up.
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!
Math Book Lists TBA Math in Children's Literature 205K+Save New Update! Dec. 28, 2016My goal is to gradually update this list with new links. You can see which sections have been updated by looking for New! after each heading. New! Latest Update: March 8, 2014 I try to update the following list of Math Books for Kids on a regular basis. Why Do I Keep Up This List? Linking Children's Literature to Math A few important notes about this list: 1. 2. 3. Addition/Subtraction 12 Ways to Get 11, Eve Merriam *The 329th Friend , Marjorie Weinman Sharmat (lesson)The Action of Subtraction , Brian Cleary Centipede's 100 Shoes , Tony RossEach Orange Had 8 Slices , Paul Giganti (also multiplication)Elevator Magic , Stuart Murphy (subtracting) The Grapes of Math , Greg TangThe King's Commissioners , Aileen Friedman (addition, skip counting) Math Appeal , Greg Tang Math Fables , Greg TangMath For All Seasons , Greg TangMath-terpieces , Greg Tang Monster Math , Stuart Murphy (building equations)The Real Princess: A Mathematical Tale , D.
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 Yummy Math | We provide teachers and students with mathematics relevant to our world today … Mathematics Leadership Program (MLP) - For teacher leaders, coaches, administrators and others who support elementary, middle and high school mathematics