Today is Pi Day, the day we recognize the wonder of 3.14. Since 200 B.C., we’ve known we can calculate the area of a circle by (1) squaring the distance from the circle’s center to its edge, then (2) multiplying this value by 3.14 — the value of pi.
This number is the ratio of every circle’s circumference to its diameter. An irrational number, pi contains an infinite number of numbers behind the decimal point. (You can find it calculated to the 100,000th digit here.)
Back in 1894, an amateur mathematician in Solitude, Indiana, thought there had to be a better way to measure a circle’s area. Edward Goodwin believed that, using a compass and a ruler, he could create a square with the same area as a circle. And a square’s area would be so much easier to measure.
There was one problem with his method. It didn’t work. In fact, 12 years earlier, a mathematician had proven, mathematically, that it was impossible to calculate the area of a circle this way.
One reason Goodwin’s method didn’t work is that it changed the value of pi from 3.141592 etc. to 3.2. (As he expressed it, “The ratio of the diameter and circumference is as five-fourths to four.”)
Enchanted by his own genius, Goodwin copyrighted his method. Now he could earn a royalty whenever businesses and schools used his new, improved system.
But he knew the state of Indiana couldn’t afford the royalties that introducing his system into Indiana’s schools would involve. So he offered the state a deal: If Indiana’s legislature would officially acknowledge the validity of his system, he’d waive the royalty fees.
Representative Taylor I. Record was Goodwin’s state representative, and he thought it a generous offer. So, in 1897, he introduced House Bill 246, which declared, “a circular area is to the square on a line equal to the quadrant of the circumference, as the area of an equilateral rectangle is to the square on one side.”
If that sounds confusing to you, you’re not alone. Many legislators didn’t understand it either. Nonetheless, they passed the bill in the state House on February 5, 1897. Unanimously. No one stood up and said, “Wait. I’m not supporting this until I understand it.”
The Indianapolis newspapers were wholly supportive of Goodwin’s theory, though it appears they didn’t understand it any better than the legislators did.
And so the bill moved on to the Senate. Fortunately, a math professor from Purdue University was coincidentally in the capitol building when the bill was being debated. Professor Clarence Abiathar Waldo was aghast to hear the state might make this erroneous theory part of school curriculum. He cornered some senators to ask about the bill. They offered to introduce him to the learned Goodwin. Waldo declined, saying that he’d already met as many crazy people as he cared to know.
He explained to the senators why Goodwin’s method was flawed. Armed with this knowledge, they took to the Senate floor to mock the bill and Goodwin’s theory. Finally, a senator moved to postpone the bill. It was never brought up again.
It was easy to make fun of the idea after Waldo had spoken up. Even the newspapers changed their tune. The Indianapolis Journal observed, “The Senate might as well try to legislate water to run up hill as to establish mathematical truth by law.
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MathiVersity is about cool math software, games, online services and a lot more!
Following are the first among our cool products:
- Math Editor - An equation editor (Free and Open Source)
- Spirograph - A fun simulation software (FREE)
- Math Processor - A general purpose programmable math engine/calculator (FREE or Commercial Editions)
To make Spirograph even more fun, we also host a Spirograph Art Gallery, where every user can upload their artwork to share it with others. We have also created a system of voting to rate the artwork uploaded by our users.
We will keep releasing free software for math-lovers, students, teachers, professionals and general audience. We will also be releasing better and more powerful versions of our currently released products.
MathiVersity will soon start several other online services including a unique math related Q & A service, online equation editor, online chat service for communicating in math’s native notation (and not in ugly textual representation of mathematical equations). But you will have to wait a little while we finalize our work on these wonderful applications!


Share My Lesson offers free lesson plans, teacher resources and classroom activities created by dedicated educators. What we have below is a list of over 100 essential questions examples that we’ve created and collected over time. Note: All students following the Occupational Course of Study are also required to take English I, II, III, and IV, Math I, American History I and American History II, and Health and Physical Education. Common Core State Standards; Math Digital Textbook Content. The new K-8 Mathematics Standards were adopted June 1, 2017 for implementation 2018 - 2019. An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts—interpreting a schematic drawing, estimating the amount of wood needed to frame a sloping roof, rendering computer graphics, or designing a sewing pattern for the most efficient use of material. These curriculum maps are designed to address Common Core State Standards (CCSS) Mathematics and Literacy outcomes. The ACT College and Career Readiness Standards® are the backbone of ACT assessments. this is our classroom website. Visit archived Oklahoma's PK-12 academic standards. Bill McCallum's CCSS-M Learning Progressions pages within his blog, Tools for the Common Core. Cluster 2: Analyze, compare, create, and compose shapes. All standards identified on the blueprint are eligible to appear on a test form and should be taught during instruction. Congruence. Several states, once committed to adopting the standards, have opted to repeal them and move on to something else. Math in Practice is not another curriculum; it’s professional development in a book!. A circle is named by its center. These practices rest on important "processes and proficiencies" with long- standing importance in mathematics education. ELA-Literacy. Standards are a bold initiative. TEKS Review and Revision The State Board of Education (SBOE) has legislative authority to adopt the TEKS for each subject of the required curriculum. Medford Lakes School District Math Curriculum Guide – Algebra Survey Grade 8 Written by: Kathy O’Brien Text/Program: “Big Ideas” BOE Approved 8/19/15 EIGHTH GRADE MATHEMATICS - “Algebra Survey”. The standards emphasize depth over breadth, building upon key concepts as students advance. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set. Extended 1 st Grade Mathematics. To become familiar with the changes in the Extended Content Standards 4. Enduring Understandings and Essential Questions Mathematics K-12 Wallingford Public Schools Organization is based on the current State Frameworks in Mathematics. Fluency in Grades K-5. Alternate Assessment Consortium. The Alabama Learning Exchange includes multimedia, learning activities, lessons, and unit plans all “connected” by the Alabama Standards to promote deeper-learning competencies essential for success in college, careers, and our global society. Geometry in Construction is a team taught by both math and applied Technology teachers. Basic education in Washington state is defined by the Legislature (RCW 28A. Common Core is math, language arts and literacy standards fully adopted by 44 states and the District of Columbia. Mathematics: Focus by Grade Level. Loyalty policy – book your preferred writers without extra fees. The Nine Essential Skills are cross-disciplinary skills that students should be developing across grades K- 12. Geometry began to see elements of formal mathematical science emerging in Greek mathematics as early as the 6th century BC. Priority Standards are "a carefully selected subset of the total list of the grade-specific and course-specific standards within each content area that students must know and be able to do by the. would then be repeated with the three or four other Priority Standards assigned to these ELA and math units of study. grade 6 geometry measurement also available in docx and mobi. Answer C is the definition of opposite rays, which form a line. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. Understanding Summative Assessment Design. 150+ Essential Questions for Math. They form a national vision for preschool through twelfth grade mathematics education in the US and Canada. The New York State Prekindergarten Learning Standards: A Resource for School Success, and the New York State Kindergarten Learning Standards: A Resource for School Success, are both now available for the 2019-20 school year. To learn about the process and how to get involved, take the Montana Content Standards 101 course on the Teacher Learning Hub (1 renewal unit). The Geometry Module effectively assists teachers in developing a deeper understanding of the underlying concepts that support the Texas Essential Knowledge and Skills (TEKS) in Geometry and helps teachers develop the pedagogical tools. In North Dakota, the content standards serve as a model. Standards-based curriculum has become the norm in education. In most cases, power standards are developed or selected at the school level by administrators and teachers. Each Element Card presents Essential Understanding(s), which define a range of skills based on a grade-specific Core Content Connector. (Gove, 1993) As you explore the resources and information provided by this LiveBinder the term curriculum refers to the essential standards and clarifying objectives of the standard course of study and any frameworks provided by the. 75 114th CONGRESS 1st Session H. All standards identified on the blueprint are eligible to appear on a test form and should be taught during instruction. GTPS Curriculum - Geometry 3 Weeks Topic: 6 - Inequalities in Geometry Objectives/CPI's/Standards Essential Questions/Enduring Understandings Materials/Assessment A-REI. Scribd is the world's largest social reading and publishing site. Created by experts, Khan Academy's library of trusted, standards-aligned practice and lessons covers math K-12 through early college, grammar, science, history, AP®, SAT®, and more. Extended K Mathematics. Browse or search thousands of free teacher resources for all grade levels and subjects. The material should be connected to real-world situations as often as possible, as suggested in the curriculum. A Correlation of Pearson Geometry, Common Core to the Common Core State Standards for Mathematics - High School PARRC Model Content Frameworks Mathematics Geometry ★ indicates modeling standards 1 SE = Student Edition TE = Teacher’s Edition Common Core State Standards for Mathematics - High School. The essential questions in this lesson are aligned to the Common Core State Standards for second grade mathematics. In Unit 6, seventh-grade students cover a range of topics from angle relationships to circles and polygons to solid figures. In April of 2014, the Indiana State Board of Education approved the adoption of new standards for Mathematics. House of Representatives 2013-10-31 text/xml EN Pursuant to Title 17 Section 105 of the United States Code, this file is not subject to copyright protection and is in the public domain. Note: All students following the Occupational Course of Study are also required to take English I, II, III, and IV, Math I, American History I and American History II, and Health and Physical Education. Delaware Content Standards English Language Arts Standards Common Core State Standards for English Language Arts & Literacy in History/Social Studies, Science, and Technical Subjects. In the United States, the theory has influenced the geometry strand of the Standards published by the National Council of Teachers of Mathematics and the new proposed Common Core Standards. version of Singapore's most popular and proven math curriculum. Colorado Standards - Academic Standards The Colorado Academic Standards (CAS) are the expectations of what students need to know and be able to do at the end of each grade. High school geometry involves solving complicated proofs, and graphing and manipulating 3-D objects in 2-D space. The United States Academic Decathlon’s curriculum is an interdisciplinary curriculum in which a selected theme is integrated across six different subject areas: art, economics, literature, music, science, and social science. Geometry Statistics And Sequences. Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS) Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS) Amended Standard New Standard Deleted Standard. Geometry Quiz - Learning Connections Essential Skills Geometric Reasoning - solve tasks related to shapes and angles Problem Solving - work through a variety of. The standards are presented in a grade-by-grade sequence from pre-K through grade 8, and discrete strands address common high-school music classes, such as Ensembles and Music Composition/Theory. Geometry Module 1: Congruence, Proof, and Constructions. Introduction. Throughout the program the Standards for Mathematical Practice are seamlessly connected to the Common Core State Standards resulting in a program that maximizes both teacher. Moolenaar, Mr. These expectations are aligned to the Show-Me Standards, which define what all Missouri high school graduates should know and be able to do. Provide the Michigan Range of Complexity, which outlines how the skills associated with each target Essential Element (that will be measured as "state accessible") is to be. BrainPOP aligns all topics to the standards that matter to you, including CCSS, NGSS and U. The Standards for Mathematical Practice complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle, and high school years. Common Core is math, language arts and literacy standards fully adopted by 44 states and the District of Columbia. 1(continued): Track geometry inspections, assessment and maintenance actions. For more detailed information about unpacking the content standards, unpacking a task, math routines and rituals, maintenance activities and more, please refer to the Grade Level Overview for fourth grade. These are all strategies that are emphasized by the Common Core State Standards, from elementary through secondary school. , we are truly in an exciting era of fulfilling and going beyond Richard Feynman's vision. RATHINDRA NATH has 3 jobs listed on their profile. 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. The California State Standards are a starting point for transforming the way we practice the art of teaching and for building stronger conversations among teachers, grade levels/departments, schools, districts, and states. Before now, students calculated area by. The Math Workgroup has made changes to the content emphasis documents based on what we have learned since 2010. The new standards have been the result of over two years of collaborative work to ensure New York State has the best learning standards for our students. What causes the geometric shapes of molecules? Electron pairs are as far apart as possible 3. The new standards provide teachers with frameworks that closely match the unique goals of their specialized classes. Yet, no one wants to teach to the test. The OGC has also produced the OGC Reference Architecture Profile Advisor, or RAP Advisor to help negotiate the ORM. Unwrapping the Standards: A Simple Way to Deconstruct Learning Outcomes. 114–107, Part I] IN THE HOUSE OF REPRESENTATIVES April 15, 2015 Mr. As announced in Superintendent’s Memo 043-19-This is a Word document. would then be repeated with the three or four other Priority Standards assigned to these ELA and math units of study. Geometry is the fourth math course in high school and will guide you through among other things points, lines, planes, angles, parallel lines, triangles, similarity, trigonometry, quadrilaterals, transformations, circles and area. Dynamic Learning Maps. The mathematics standards set a rigorous definition of college and career readiness by demanding that students develop a depth of understanding and ability to apply mathematics to real-life situations, as college students and employees regularly do. Understand how your team can use essential standards in your work. Tennessee Math Standards. The small one is that, for the rst time, special attention is paid to the need of a proof for the area formula for rectangles when the side lengths are fractions. Mathematical Process Standards Geometry G. Texas Essential Knowledge and Skills for Mathematics. BEST PRACTICES IN TEACHING MATHEMATICS Introduction Mathematics is a form of reasoning. Maryland calls these standards the Maryland College and Career-Ready Standards. A - Know number names and the count sequences. In my last post, I complained about the shrinkage of geometry, a decades-long trend in US math education. Note: All students following the Occupational Course of Study are also required to take English I, II, III, and IV, Math I, American History I and American History II, and Health and Physical Education. Let's look at the definition of a circle and its parts. Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS) Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS) Amended Standard New Standard Deleted Standard. This short video explains the difference between standards and curriculum. 113 HR 3080 EAS: Water Resources Development Act of 2013 U. Common Core Math Curriculum Kindergarten Diocese of Buffalo 2012 1 Math Common Core Curriculum - Kindergarten ESSENTIAL QUESTIONS DOMAINS AND CLUSTERS KINDERGARTEN SKILL VOCABULARY MATHEMATICAL PRACTICES & RESOURCES ASSESSMENT What are numbers? What is counting and how can it be used? Counting and Cardinality K. Create your own educational games, quizzes, class Web pages, surveys, and much more! Explore millions of activities and quizzes created by educators from around the world. ChrisN; We're haaving a version of a conversation that's been had by 2-3 other standards bodies, all of whom came to the decision to favor compatibility over enhancement. Grade 3, Adopted 2012. Each school district may set standards more rigorous than these state content standards, but no district shall use any standards less rigorous than those set forth in IDAPA 08. As required by state law, OSPI develops the state's learning standards (RCW 28A. Essential Assessment is a leading provider of a unique Australian Curriculum, Victorian Curriculum and NSW Syllabus numeracy and literacy assessment and curriculum model that delivers a whole school approach to formative and summative assessment for Australian schools. DONOTEDITTHISFILE!!!!! !!!!!$$$$$ !!!!!///// !!!"!&!&!+!+!S!T![!^!`!k!p!y! !!!"""'" !!!&& !!!'/'notfoundin"%s" !!!) !!!5" !!!9" !!!EOFinsymboltable !!!NOTICE. Overarching Essential Questions. 1 Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines. It is still up to each local school district to adopt its own curriculum (how the standards are taught) to meet these standards. Schools and districts around the country are seeing continuous growth in student achievement using Eureka Math. For students first enrolled in Grade 9 in 2010-2011 or later, three of the Essential Skills are graduation requirements: Students prove that they have mastered these Essential Skills. Principles and Standards for School Mathematics (PSSM) are guidelines produced by the National Council of Teachers of Mathematics (NCTM) in 2000, setting forth recommendations for mathematics educators. The topics covered include the definitions and properties of 2D and 3D shapes, the basic concepts and formulas of perimeter, area and volume, the Pick’s formula, the Cavalieri’s principles, the basic geometric transformations, the concepts of tessellations, the Euler’s polyhedral formula. (b) Introduction. Now to the topic of this post. The Essentials of High School Math was designed to help students learn the basics of mathematics that they are supposed to understand upon entering high school, as well as the fundamental lessons within Algebra, Geometry, and Statistics that students typically learn in ninth and tenth grade. Seventh grade state test scores were 62% last year and 70% proficient this year!" — Tammy S. Combined with unprecedented controllability of interactions, geometry, disorder strength, spectroscopy, and high resolution measurement of momentum distribution, etc. From the late 1970s forward, attempts have been made in the United States to provide a framework defining the basic essentials of mathematics that all students. Welcome to Bright Ideas, the e-newsletter of Illuminations. As required by state law, OSPI develops the state's learning standards (RCW 28A. Provide the Michigan Range of Complexity, which outlines how the skills associated with each target Essential Element (that will be measured as "state accessible") is to be. Click on each section of the graphic below to explore more. essential questions. Unit Essential Questions. Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum developers since 2011. This document is designed to help North Carolina educators teach the 5th Grade Mathematics Standard Course of Study. B | Understand and apply the Pythagorean Theorem. The frameworks that follow are the result of this work. Focusing on critical and analytical. These practices rest on important "processes and proficiencies" with long- standing importance in mathematics education. Each lesson covers a different standard, gives the objective, new vocabulary words that were introduced, and a video that explains the homework sheet. instruction. GTPS Curriculum – Geometry 3 Weeks Topic: 6 - Inequalities in Geometry Objectives/CPI’s/Standards Essential Questions/Enduring Understandings Materials/Assessment A-REI. NCTE/IRA Standards for the English Language Arts. ] textbooks are often weak, the presentation becomes more mechanical than is ideal. The Queensland Curriculum and Assessment Authority is a statutory body of the Queensland Government. Lucas, Mrs. First Grade Math: Geometry Standards. The New York State Prekindergarten Learning Standards also aligned with the existing New York State K-12 learning standards in science, social studies, and the arts. when the CCSS-M authors wrote the standards and sequenced them into grades as they did, be sure to visit Dr. 1 Count, read, and write whole numbers to 100. the standards and, as needed, provided statements to help teachers comprehend the full intent of each standard. So off you go!. 102, page 11. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set. The Go Math Program is designed to go along with the Common Core Standards. The National Council of Teachers of Mathematics' view of how school geometry should look. The curriculum introduces geometric topics, skills, and concepts. Principles and Standards for School Mathematics outlines the essential components of a high-quality school mathematics program. php(143) : runtime-created function(1) : eval()'d code(156) : runtime-created function(1. The Common Core State Standards for English Language Arts & Literacy in History/Social Studies, Science, and Technical Subjects (“the Standards”) are the culmination of an extended, broad-based effort to fulfill the charge issued by the states to create the next generation of K–12 standards in order to help. , having four sides), and that the shared attributes can. Resources on Wisconsin Standards for Mathematics. Extended 3 rd Grade Mathematics. com FREE SHIPPING on qualified orders. The seventh-grade Geometry standards are categorized as additional standards, however, there are several opportunities throughout the unit where students are engaged in the major work of the grade. 7 1 Common Core Math Curriculum Grade 7 ESSENTIAL QUESTIONS DOMAINS AND CLUSTERS GRADE 7 SKILL VOCABULARY MATHEMATICAL PRACTICES ASSESSMENT What are the properties of operations? How do you translate real-world problems to algebraic expressions? What is the difference between a rational and irrational number?. But, teaching the addition facts doesn’t have to be like this. The Helpful Hints section teaches the next concept. Essential Understanding Studentswill be expected to be able. Chegg's step-by-step geometry guided textbook solutions will help you learn and understand how to solve geometry textbook problems and be better prepared for class. essential questions. HID Global’s Lumidigm multispectral imaging fingerprint technology has been certified compliant with the ISO/IEC 30107-3 Presentation Attack Detection (PAD) standard, after receiving a perfect score in certification testing by independent lab iBeta Quality Assurance. IB Union Calendar No. Welcome to the Kansas State Department of Education website devoted to the Kansas Curricular Standards. Math in Practice is a standard-based, professional learning resource from Sue O'Connell and colleagues. At each grade, students are expected to not only develop an understanding of content standards, but also develop key behaviors outlined in. March 7, 2012. Extended K Mathematics. Common Core Georgia Performance Standards High School Mathematics CCGPS Analytic Geometry ‐ At a Glance Common Core Georgia Performance Standards: Curriculum Map 1st Semester 2nd Semester Unit 1 Unit 2 Unit 3 Unit 4a Unit 4b Unit 5 Unit 6 Unit 7 Similarity, Congruence, and Proof. B | Understand and apply the Pythagorean Theorem. High School Geometry Common Core Math Tests:. The Common Core State Standards for language arts get students reading deeply and connecting with what they have read. The heart of the module is the study of transformations and the role transformations play in defining congruence. To do so would strip. All worksheets created. Listed below are the sub-categories or worksheets in Geometry Worksheets. Performance-level descriptors describe what a typical student at each level should be able to demonstrate based on his/her command of grade-level standards. The Tennessee State Math Standards were reviewed and developed by Tennessee teachers for Tennessee schools. The next Smartgeometry Conference (sg2016) will take place at the Chalmers University of Technology in Gothenburg, Sweden, April 4-9, 2016. TABLE OF CONTENTS Introduction. Visual art is a natural place for students to apply their knowledge and understanding of geometric concepts. The standards are helping educators and education leaders worldwide re-engineer schools and classrooms for digital age. Mathematics Standards Download the standards Print this page For more than a decade, research studies of mathematics education in high-performing countries have concluded that mathematics education in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. TCSS GSE Geometry Unit 2 Curriculum Map TCSS 7/30/2016 2. We demonstrate. Assessment: Standards-aligned assessment, a routine part of ongoing classroom activity, should enhance students' learning and inform instructional decisions. of Public Instruction Exceptional Children Division 1 Objectives 1. Family Math Night Math Standards In Action. Imagine Math (IM) is an online, supplemental math instruction and tutoring program that will help raise student achievement in Idaho by providing students with focused instruction, rigorous math problems, access to live certified teachers, and a motivation program with rewards for working on math problems. 4 Reading Standards and Interpreting their Codes in High School Courses. For a variety of kindergarten vocabulary words to help get a handle on mathematics, look no further than VocabularySpellingCity! Our Kindergarten math terms will help your students get the upper hand on this tough to learn subject by helping them understand what the different terminology means. Common Core Standards: 4. , Assistant Principal from Pullman, WA. The study of Geometry offers students the opportunity to develop skill in reasoning and formal proof. ; Fichtl, G. They are organized by conceptual categories or themes: Number and Quantity, Algebra, Functions, Modeling, Geometry, and Statistics and Data. We have done math centers every day this week and most of last week. The standards serve as goals for teaching and learning. The Texas Performance Standards Project (TPSP) comprises a set of performance standards, curricula, and assessments for differentiating instruction and deepening academic learning. Designed and manufactured in the U. 2 sum 1 | Relation and function with two set of values | ordered pair. The Curriculum Division mathematics team provides direction and leadership to the mathematics programs, Kindergarten through grade 12. Welcome to Bright Ideas, the e-newsletter of Illuminations. The Chinese automaker – and Volvo owners – revealed not. 1 Count, read, and write whole numbers to 100. Gwinnett’s curriculum for grades K–12 is called the Academic Knowledge and Skills (AKS) and is aligned to the state-adopted Georgia Standards of Excellence in Language Arts (K-12), Mathematics (K-12), and literacy standards for Science, Social Studies, and Technical Education for middle and high school students. 0 Construct using straight edge and compass. Before now, students calculated area by. Essential questions organically inspire the kinds of narrative, informational, and persuasive writing required by the Common Core. Extended K Mathematics. These standards are developed by each state. gov/femp/ Introduction Incorporating energy efficiency, renewable energy, and sustainable green design features into all Federal. Throughout the program the Standards for Mathematical Practice are seamlessly connected to the Common Core State Standards resulting in a program that maximizes both teacher. Geometry made simple and relevant This series is going Out of Print. NCTE/IRA Standards for the English Language Arts. Overarching Essential Questions. The Essentials of High School Math was designed to help students learn the basics of mathematics that they are supposed to understand upon entering high school, as well as the fundamental lessons within Algebra, Geometry, and Statistics that students typically learn in ninth and tenth grade. There are so many great lesson plans and resources out there for arts integration in geometry. Academic Standards + Grade Level Expectations. 373X100001 from the U. McCallum frequently responds within. 1 Describe objects in the environment using names of shapes, and describe the relative positions of objects using positional terms. This is a first grade blog designed to help my class with our Go Math Program. Please click the links below to see suggested replacement series: AGS Geometry Power Basics Geometry Through a clear and thorough presentation, this comprehensive program fosters learning and success for students of all ability levels with extensive skills practice, real-life. Given a number from 1 to 24, output the kissing number to the best of current knowledge (some numbers will have more than one acceptable output). During this period, the content of geometry and its internal diversity increased almost beyond recognition; the axiomatic method, vaunted since antiquity by the admirers of. The initial draft of the Dynamic Learning Maps Essential Elements (then called the Common Core Essential Elements) was released in the spring of 2012. No hidden charges – a fair policy is essential for our relation with the customers. In this article, you’ll learn everything you need to know to teach your child the addition facts—without killing your kid’s love of math or wanting to poke your eyeballs out in the process. For students first enrolled in Grade 9 in 2010-2011 or later, three of the Essential Skills are graduation requirements: Students prove that they have mastered these Essential Skills. Hultgren, Mr. Jasmine's class wrote stories about various animals that focused on the setting of their habitats, and wrote informational texts using summary, description, and comparison. Math Connects is correlated to the Common Core State Standards! Click the CCSS logo to check out the new CCSS lessons and homework practice pages. A closed-form equation is derived for root mean square (rms) value of velocity change (gust rise) that occurs over the swept area of wind turbine rotor systems and an equation for rms value of velocity change that occurs at a single point in space. The heart of the module is the study of transformations and the role transformations play in defining congruence. Geometry is an important part of mathematics, one that deals with shapes and spatial relationships. Welding Procedure Specifications (WPS) This document details the practical application of the Procedure Qualification Record (PQR). Math Progressions Prior to the development of the Common Core State Standards in Mathematics, a series of documents were produced by writers of the Common Core that described a specific topic or concept across a number of grade bands. Find the right K-12 lesson plans - for free. First Grade Standards, First Grade Math Standards, First Grade Math, First Grade Skills, Math Standards First Grade, Geometry Standards, Shape Standards. Reading: Literature Standards; Reading: Informational Text Standards. Sep 25, 2019- Grade 5 materials and resources, lessons, printables, worksheets, projects, and games for Science, especially the NC Essential Standards. state standards. The material should be connected to real-world situations as often as possible, as suggested in the curriculum. 12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc. Personally, think it is a worthwhile subject of study, but I don't think that there is much demand for it in today's design environment. Enduring Understandings Essential Questions. Mathematics Course Updates for 2018–2019 • Differential Equations. Read grade 6 geometry measurement online, read in mobile or Kindle. This is a first grade blog designed to help my class with our Go Math Program. NOTICE: Comments, as submitted, shall be filed with the West Virginia Secretary of State's Office and open for public inspection and copying for a period of not less than five years. And, in most districts, standardized tests are the way understanding is measured. are repeated. Principles and Standards for School Mathematics (PSSM) are guidelines produced by the National Council of Teachers of Mathematics (NCTM) in 2000, setting forth recommendations for mathematics educators. 1 The student uses mathematical processes to acquire and demonstrate mathematical understanding. Internet: http://www. Thinking mathematically consists of thinking in a logical manner, formulating and testing conjectures, making sense of things, and forming and justifying judgments, inferences, and conclusions. The competency committee members looked at existing competencies within and outside of our state, Oklahoma high school and college course syllabi, vertical alignment documents, our Oklahoma Academic Standards for Mathematics, and the NCTM Essential Standards for High School Mathematics to determine which essential skills should be included in. The topics covered include the definitions and properties of 2D and 3D shapes, the basic concepts and formulas of perimeter, area and volume, the Pick’s formula, the Cavalieri’s principles, the basic geometric transformations, the concepts of tessellations, the Euler’s polyhedral formula. It provides students with the mathematical knowledge, skills and understanding to solve problems in real contexts for a range of workplace, personal, further learning and community settings. “Unwrap” the Standards Definition of “unwrapping”: The analysis of standards and. The first of. These standards are designed to complement other national, state, and local standards and contribute to ongoing discussions about English language arts. Review the geometry topics youve been learning in class with this convenient and self-paced high school geometry course. Math Curriculum Kindergarten 3. Domain: OPERATIONS AND ALGEBRAIC THINKING Cluster 1: Use the four operations with whole numbers to solve problems. The aim was to create a set of common learning expectations for Mathematics and for English Language Arts/Literacy in subjects including literature, history. Standards for Mathematical. Geometry is an important part of mathematics, one that deals with shapes and spatial relationships. Overarching Essential Questions. A super beneficial offer for every customer. TPSP enhances gifted/talented (G/T) programs from kindergarten through high school. High School: Geometry » Introduction Print this page. Essential Standards" Essential Standards; Technology" Chromebooks; Essential Standards. , having four sides), and that the shared attributes can. In addition to the requirement that students meet those content standards, students must also (to the extent practicable) develop and demonstrate skills (Fig. To what extent do we make connections to build relationships between algebra, arithmetic, geometry, measurement, discrete mathematics, probability and statistics? Representing mathematical ideas involves using a variety of representations such as graphs, numbers, algebra, words, and physical models to convey practical situations. Illuminations Navigation Guide. Clear statements about what students must know and be able to do are essential to ensure students are given the opportunity to succeed. The standards serve as goals for teaching and learning. essential questions. Everything At One Click Sunday, December 5, 2010. Common Core Math Curriculum Kindergarten Diocese of Buffalo 2012 1 Math Common Core Curriculum - Kindergarten ESSENTIAL QUESTIONS DOMAINS AND CLUSTERS KINDERGARTEN SKILL VOCABULARY MATHEMATICAL PRACTICES & RESOURCES ASSESSMENT What are numbers? What is counting and how can it be used? Counting and Cardinality K. In the nineteenth century, geometry, like most academic disciplines, went through a period of growth verging on cataclysm. Personally, think it is a worthwhile subject of study, but I don't think that there is much demand for it in today's design environment. Grade 8 Math Revised 07/2008 5 Topic: Geometry/2-D Angles Essential Questions: How is geometry used in life? Performance Indicators Guided Questions Essential Knowledge and Skills Classroom Ideas (Instructional Strategies) Assessment Idea s (evidence of understanding) 8. Common Core and Essential Standards Extended Content Standards Claire Greer Dept. Pilot Eureka math. The NCTM published the process standards in Principles and Standards for School Mathematics. Los Angeles Unified School District Office of Curriculum Instruction and School Support 2014-2015 Common Core Geometry Curriculum Map LAUSD Secondary Mathematics Overview of the Curriculum Map – Geometry June 2, 2014 Draft Page 2 Mathematical literacy is a critical part of the instructional process, which is addressed in:. This provides a rich yet balanced curriculum- attention to numeration and computation without neglecting geometry, data, and algebraic thinking. Geometry is an important part of mathematics, one that deals with shapes and spatial relationships. No hidden charges – a fair policy is essential for our relation with the customers. This High School Geometry Web Guide can be a valuable resource for geometry help and final exam preparation for students, a source of geometry lesson plans for teachers and a geometry refresher for parents. Mathematics Common Core (MACC) is now Mathematics Florida Standards (MAFS) Next Generation Sunshine State Standards (NGSSS) for Mathematics (MA) is now Mathematics Florida Standards (MAFS) Amended Standard New Standard Deleted Standard. The standards emphasize depth over breadth, building upon key concepts as students advance. Standards for Mathematical Practice Common Core State Standards for Mathematics To emphasize the Mathematical Practices, the CCSS gives them their own distinct section, but they are not to be thought of as a separate skill set to be handled in special lessons or supplements. All worksheets created. essential standards chart grade 6 math - Free download as Word Doc (. 1) essential for success in professional life. Math was essential to everything from the first wireless radio transmissions to the prediction and discovery of the Higgs boson and the successful landing of rovers on Mars. The Geometry course outlined in this document begins with developing the tools of geometry, including transformations, proof, and constructions. Browse or search thousands of free teacher resources for all grade levels and subjects. 7 Integrate visual information (e. Knowledge of geometry is not essential as the outputs. Assessment: Standards-aligned assessment, a routine part of ongoing classroom activity, should enhance students' learning and inform instructional decisions. INTRODUCTION. Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning. content in the Common Core State Standards to academic expectations for students with the most significant cognitive disabilities. Welcome to Achieve the Core. Extended K Mathematics. (1) The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. High School Office; High School Principal's Page; 2019-2020 Course Registration Handbook; Counselor's Corner; High School Daily Schedule; Lunch Menus; 2019-2020 School Supply Lists. BIM handbook: A guide to building information modeling for owners, managers, designers, engineers and contractors. To what extent do we make connections to build relationships between algebra, arithmetic, geometry, measurement, discrete mathematics, probability and statistics? Representing mathematical ideas involves using a variety of representations such as graphs, numbers, algebra, words, and physical models to convey practical situations.


To determine the overall odds of a Scratcher game, take the number of tickets in a game and divide it by the total number of prizes in that same game. For example, 100 tickets divided by 25 winners equals overall odds of 1 in 4.
If the “overall odds of winning a prize” in a game are 1 in 4, this does not mean that there is an automatic winner within every 4 consecutive tickets. Prizes are distributed randomly throughout the total game and there is no pattern as to where they will occur. It’s all a matter of luck and that’s what makes it fun!


Applied analysis and computation are essential to research in virtually every field of science and engineering. Modern engineering is, to a large extent, computational engineering. Computational and applied mathematics (CAAM) is the fundamental discipline that underlies practice and intellectual advancement in mathematical modeling, applied analysis, the development and analysis of numerical algorithms, and the implementation and dissemination of mathematical software. CAAM provides a key enabling technology for all aspects of computational engineering and numerical simulation.
The CAAM faculty at Rice are leading researchers with international reputations. There are cutting edge research activities in inverse problems, discrete and continuous optimization, computational neuroscience, partial differential equations (PDE), PDE constrained optimization, and large scale numerical linear algebra. Our work is often highly interdisciplinary and involves interaction with all of the other departments within the School of Engineering.


Mathematics is often viewed as a daunting subject. For many, it conjures up memories of struggling through complicated equations and wondering if they will ever use these concepts outside of the classroom. However, understanding general mathematics is essential in everyday life. Whether you are grocery shopping or calculating your paycheck, mathematical skills play a vital role in our daily routines. In this blog post, we’ll explore why having a grasp on basic math concepts can make all the difference in navigating real-world situations with confidence and ease. Get ready to see how math truly does matter!
The Importance of Mathematics
It is often said that mathematics is the language of the universe. This is because mathematical concepts and principles are present in everything around us, from the patterns we see in nature to the systems that keep our modern world running. A strong foundation in mathematics is therefore essential for everyday life.
Mathematics helps us make sense of the world and allows us to see relationships and connections between things that we might not otherwise notice. It enables us to solve problems systematically and efficiently, and to think logically and creatively. It also develops our powers of abstraction and generalization, which are important skills for both learning and work.
In addition, an understanding of mathematics is increasingly important in our technologically-driven society. Many jobs now require basic mathematical skills, and even those that don’t will often involve using computers or other technology, which relies on mathematical concepts.
So whatever career you pursue, good math skills will be essential for success. Even if you don’t plan to use math directly in your job, it will still be a valuable asset in your problem-solving arsenal. So whether you’re solving a personal problem or a professional one, don’t be afraid to reach for your math skills – they just might come in handy!
How to Use Mathematics in Everyday Life
In general, we use mathematics in our everyday lives to help us solve problems. We use arithmetic when we go grocery shopping, paying bills, or do home repairs. We use geometry when we drive, cook, or play sports. Algebra and trigonometry come in handy when we design buildings, bridges, and electrical circuits. And calculus is useful for predicting the behavior of things like the stock market or the weather.
But math isn’t just about numbers and equations. It’s also a way of thinking that can help us make sense of the world around us. For example, mathematical modeling can be used to understand how diseases spread or how traffic flows. Probability can help us figure out the chances of winning the lottery or getting into a car accident. And statistics can be used to study everything from baseball batting averages to voting patterns in elections.
So whether you’re trying to balance your checkbook or trying to understand the cosmos, mathematics is a tool that can help you make sense of it all.
The Different Types of Mathematics
Mathematics is generally divided into three distinct categories: pure mathematics, applied mathematics, and statistics. Each one focuses on a different aspect of the subject and has its own unique applications.
Pure mathematics is the branch of mathematics that deals with abstract concepts such as quantity, structure, space, and change. It is the foundation upon which all other branches of mathematics are built. Applied mathematics, on the other hand, is focused on the solution of real-world problems. Statistics is the study of data and the application of probability theory to help make decisions in the face of uncertainty.
All three branches of mathematics are important in their own way and each has its own unique applications. Pure mathematics is essential for developing new mathematical theories and ideas. Applied mathematics is vital for solving practical problems in the real world. Statistics plays an important role in making decisions when there is uncertainty involved.
Understanding basic mathematics is an essential part of everyday life, as it gives us the ability to calculate and understand problems in our lives. It not only helps with financial tasks such as budgeting and saving money but also allows us to make informed decisions on a range of topics, from understanding nutrition labels to weight management. With so many applications for general math skills, it’s important for everyone to have a good foundation in this area.
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Each term, we have a whole school focus for improvement, and for the spring term we are focusing on Making Maths Memorable!
Every single member of staff has come up with something to do that will inspire the children to remember the core maths knowledge that they should know by the end of each year group.
We need your help too! Keep and eye out for information coming home on the home learning flyers, which will give you ideas of how you can help.
Did you know, for example, that by the end of Year 6, ALL children must know how to convert between the commonly used imperial and metric measurements in the picture above?
Do you know how to do this? Try to find times at home where you can introduce this to your child, at an age-appropriate level, of course! Check back a few days later and see if they have remembered it!


Maths has been regarded with an air of dread by generations of students struggling to get their heads around algebra and Pythagoras theorem, but it is one of the most important subjects for pupils to be successful in to increase their chances of getting a good job in later life.
So what can be done to encourage children to excel at maths? According to a new report, adopting a teaching method used in the Far East could be the answer.
Singaporean maths mastery
Global exam league tables show that children from Singapore are typically storming ahead of British pupils in terms of maths exam results.
A new study carried out by researchers at Cambridge University and the University College London Institute of Education has looked at why this is the case, finding that Singapore’s ‘maths mastery’ approach to teaching appears to hold the answer.
The study authors explained: “Until now, there has been little proof that such an approach can be successfully introduced into western education systems.
“Cultural and historical differences have made it difficult to establish why Singaporean children are so far ahead of their English counterparts when it comes to maths.”
The study involved over 10,000 UK pupils and followed the Singaporean method of not dividing students into groups based on ability, but instead teaching the same content to all children, waiting for academically weaker individuals to achieve a basic understanding of a topic before the whole class moves on to the next one.
Maths mastery places a focus on problem solving and using props to work out sums, making the subject as interactive and memorable as possible for children.
This allows students to spend longer getting to grips with a particular subject, possibly explaining why Singaporean pupils tend to outperform their UK counterparts in the exam league tables.
After a year of following the maths mastery programme, students’ maths scores increased, with this equivalent to making an entire month’s progress over the course of the year.
What’s more, the researchers predict being taught via the maths mastery method throughout school could see pupils earning up to £200 more per year in later life than their counterparts who are divided into sets based on ability.
When looking at the exam league tables, it’s also clear to see that independent school pupils typically achieve higher results than students who attend state schools.
Figures from the Joint Council for Qualifications and the Independent Schools Council (ISC) released in 2014 showed that 48.2 per cent of private school pupils achieved an A* or A grade in their A-levels that year in comparison to just 22.5 per cent of students at other exam centres.
In terms of science, technology, engineering and maths (STEM) subjects, those taught at independent schools performed significantly better than state school pupils, with the former accounting for 34 per cent of all physics A* A-level grades achieved in 2014.
Speaking to the Telegraph last year, Head Of Press at the ISC Tracy Cook commented: “The surprise is how big that gap is between independent and state sector pupils’ results.
“It is indicative of the significant added value provided by independent schools, due to factors such as intensive, focused teaching and smaller class sizes.”
Another factor that could increase pupils’ maths exam scores is dispelling the gender divide that has surrounded the subject for many years.
Typically, boys achieve higher scores in the subject than girls, while figures from the Institute of Physics show that 60 per cent of maths A-level students between 2010 and 2012 were male.
However, some of the UK’s most prominent maths figures are female – take former and current Countdown Co-Hosts Carol Vorderman and Rachel Riley, for instance.
What’s more, a recent study from Washington State University suggested that it was not women’s capabilities leading to lower maths scores, but rather men’s overestimation of their abilities.
Lead author of the report Shane Bench stated: “Despite assumptions that realism and objectivity are always best in evaluating the self and making decisions, positive illusions about math abilities may be beneficial to women pursuing math courses and careers.”
Maths is unlikely to become every pupil’s favourite subject anytime soon, but with the right education and encouragement, all students should be able to do their best and achieve the exam scores they deserve.


Among some of the most necessary school subjects are math and science.
Not only are they crucial to a student’s success, they’re also incredibly challenging and intimidating to some students.
Time Warner Cable and Discovery World are taking a big step to alleviate the fears that children may have toward these subjects.
This past Saturday, Nov. 8, children and their parents and guardians flocked to Discovery World to take part in STEMfest Milwaukee, “STEM” standing for science, technology, engineering and mathematics. It’s an all-day event that celebrates math and science as fun and enjoyable subjects.
This the sixth year it has taken place. The event cost attendees nothing to participate.
The only commitments they were required to make were a little bit of time and imagination.
Joel Brennan is the President and CEO of Discovery World. He found that an event like this gave students a reason to believe that math, science, and technology have real-life application and problem solving potential.
Local Girl Scouts got a VIP look into what the festival had to offer this year. On Friday, they tested out the STEM lab activities.
The following morning at 10 a.m., Discovery World’s doors opened to the public to take part in an array of hands-on work.
Everyone had until 5 p.m. to take part in as many activities as they could.
More than 10 non-profits and educators had a hand in the festivities.
Even the Milwaukee School of Engineering (MSOE) got involved.
Much to some children’s pleasure, representatives from the college explained some of the science that goes into modern video games.
While videogame production becomes more of interest to younger generations, such a method of real-life application is a sensible strategy for peaking interest in science and technology.
Time Warner Cable took the opportunity to let attendees know about it’s own move to make STEM subjects more approachable for students.
Connect a Million Minds (CAMM) aims to help children work toward careers in the tough subjects.
With continued effort by big names like Time Warner and MSOE, STEM subjects should have no problem becoming the fuel for many students’ career choices.


"Rocking Success at HES!"
Welcome to the 2017-2018 school year! I am excited to be your child’s 4th Grade math, science & social studies teacher! Browse around to look for important information, updates and events. Please +subscribe to my page so that you can get email alerts when changes are made on my website.
Mrs. Heather Bell
Conference Time: 9:55-10:55am
The STAAR Math Test will be given on Monday, May 9th. In preparation for the test, I will send home a STAAR Math folder, which includes a mathematics chart and a practice test on Monday, May 2nd. I want each child to complete 6-7 problems each night and return the folder with ALL of the materials each day.
Please make sure your child completes the designated problems as stated below:
#1-6 by Tuesday, May 3
#7-13 by Wednesday, May 4
#14-19 by Thursday, May 5
#20-25 by Friday, May 6
If you have any questions, please feel free to contact me via email, Class Dojo, or call me during my conference time, 9:45-10:35 A.M. I appreciate your support.


In primary school, you will learn maths in a variety of ways. You will learn addition, subtraction, multiplication and division. You will also learn how to do basic problems with numbers.
Learn the Basics of Maths
There are many ways to learn maths in primary school. Some children find a teacher who teaches them formal maths lessons, while others learn through doing. One way to learn maths is by doing puzzles, games and exercises that are designed to help children understand the concepts. Another way is for children to explore maths concepts on their own. They can try different methods and strategies to see which ones work best for them. Ultimately, the most important thing is for children to enjoy learning maths and find a method that works well for them.
Learning Basic Math Modeling
Math is essential for everyday life and learning it in primary school is important. Primary school students need to be able to understand basic math concepts such as addition, subtraction, multiplication, and division in order to function in the world. One way to help students learn math is through modeling. Modeling teaches children how to do problem solving by using real-world examples. Math modeling can also help children see relationships between different math concepts.
Practice, Practice, Practice
When it comes to maths, many people believe that the more you practice, the better you will get at it. This is definitely true for maths! In primary school, there are a number of ways to practice maths. One way is to do puzzles or questions from math books or online resources at The Science Academy. Another way is to play games with your friends or family. And lastly, you can try practising on your own. The more you practice, the better you will get at maths!
Ask Questions When You’re Stuck!
When you’re stuck on a maths problem, ask yourself these four questions:
What do I know about the problem? This includes understanding the concepts involved, knowing the answer choices and how to solve it, and anything else that might help you figure out what to do.
What do I need to know to solve the problem? This could be something specific about the equation or formula involved, or specific information about what numbers or terms are in parentheses or brackets.
What can I find online? There may be helpful resources available online – like answers to related questions on websites – that can help you figure out how to solve the problem.
What can I try experimentally? Sometimes solving a maths problem can be helped by trying different solutions out on paper first. This could involve drawing diagrams or solving problems step-by-step.
Taking Primary Maths Tuition
There are many different ways to learn maths in primary school. One option is to take primary maths tuition. This can be a great way to improve your skills and knowledge of maths. It can also help you prepare for the maths tests that you will need to take in secondary school.
There are many different types of primary maths tuition available. You can choose from online, offline, self-taught or tutor-led courses. Whichever option you choose, make sure that you find the right tutor for you and that the course is tailored to meet your specific needs.
If you want to improve your maths skills but don’t know where to start, consider taking primary maths tuition from a reputable provider. They will be able to help guide you through the process and teach you the skills that you need to improve your maths abilities.
Learning maths can be tricky but it is definitely worth it in the end! If you are looking for some tips on how to learn maths then please visit our website or contact us at www.thescienceacademy.sg. We would be happy to help!
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Research on application of micro class in middle school mathematics teaching in China
Hao Li, Kai Wang, Yanqing Zhang, Zezhong Yang
Since the micro class was introduced in China in 2011, it has shown explosive growth. Micro class has been rapidly applied to middle school mathematics teaching, which not only reforms the way of classroom learning, but also improves the interest of learning and promotes the development of students. Meanwhile, there are more and more research results on micro class mathematics teaching, and but most of them are about the meaning, characteristics, problems, strategies, values and application status of micro class teaching. There are few researches on problems in practice and teaching evaluation research. Therefore, the author summarizes the current situation of the application of micro class in mathematics teaching in middle schools, puts forward own ideas and indicates the next research direction.
Hao Li, Kai Wang, Yanqing Zhang, Zezhong Yang. Research on application of micro class in middle school mathematics teaching in China. National Journal of Advanced Research, Volume 4, Issue 3, 2018, Pages 49-53


enVision and ST Math - Elementary Math
enVision Mathematics 2020
Our primary curriculum resource is enVision Math 2020 (Savvas). At the instructional core of enVision Math is problem-based and visual learning. Concepts and procedures are introduced to students with a problem-based experience (called a Solve and Share) where students must think critically about a real-world math problem, evaluate options, collaborate, and present solutions. This is followed by enhanced direct instruction where student’s thinking and solutions are connected to the new math of the lesson. To further enhance this connection, visual illustrations (called Visual Learning Bridge) are presented (via video or workbook) to promote understanding. Students are then provided with guided and independent practice to deepen their understanding of concepts. To learn more about grade specific components us the links below to match your needs.
Meet Jiji, the ST Math Ambassador. ST Math is a digital learning platform used in our K-5 classrooms. ST Math’s approach - manipulating objects in space and time - is totally unique! The program starts by teaching the foundational concepts visually, then connects the ideas to the symbols, language, and robust discourse. Why does this approach work so well? Because with visual learning, students are better equipped to tackle unfamiliar math problems, recognize patterns, and build conceptual understanding. Without language barriers, the problem is accessible to all students, regardless of skill level or language background. To learn more about ST Math check out the Family Resources at https://www.stmath.com/parent-math-resources.


Pictured above: Kelsey Mackall (A Dabbled Dwelling) prepares to install DuraDecor luxury vinyl planks in color Bungalow Beige from the popular Modern Maven collection.
We always wondered when all that math we learned in school would pay off. And here we are, ready to install our favorite DuraDecor Rigid Vinyl Planks and Tile or Peel and Stick Vinyl Planks and now we need the math skills again. This should be interesting…
Whether you want to revamp your bathroom or give your kitchen a makeover, you will need to take accurate measurements of your space to calculate square footage, budget accordingly, and plan for your purchase. Think about it: Before you can even install a new floor, you must know how much you will need and how much it will cost!
Thankfully, you can easily get an accurate idea of how much flooring you need and how much money to save up, by measuring your spaces like a pro. There’s no need to second guess your math skills when you have a tape measure, a calculator, pen, paper, and these helpful steps for how to measure for flooring installation.
Measure Length x Width – First, use your tape measure to take the length and width of the room receiving new flooring and write them down. Next, round each measurement up to the nearest inch.
- Example: If the length of your room is 10 feet, 2 and 2/3h inches, round up the total length to 10 feet and 3 inches.
Convert Measurements – Now, you will need to convert the length and width into measurements that are only in terms of feet. Divide the inches in each measurement by 12 and add that figure to the feet in each measurement. Write down these new totals, which will be the length and width measurements to use for new flooring.
- Example: If the length of the room is 10 feet and 3 inches, divide the 3 inches by 12 to get .25 feet. Add this figure to the 10 feet and your final length is 10.25 feet.
Multiply Measurements – Feeling like a flooring wiz yet? Take your converted measurements and multiply the room length by the room width to determine the square footage of the room. Write down this figure and label it as well.
- Example: If the room has a length of 10.25 ft. and a width of 7.8 ft., multiply these two measurements (10.25 x 7.8) to get the square footage of 79.95, or 80 sq ft.
Trickier Floorplans – You may have a room that’s not a perfect square or rectangle, maybe it’s an L-shape or a room that features an inlet. Try splitting the room into separate rectangular areas to make calculations easier! Measure each section, calculate the square footage of each section separately, write them each down, and then add them together to determine the total square footage of the entire area.
- Example: A room has been separated into 2 sections for easier measuring. The bigger section is calculated to be 80 sq ft and a bay window inlet is calculated to be 7.20 sq ft. in size. Add these two measurements (80 + 7.20) to get the total square footage of 87.20 sq ft.
- Doors & Transitions – We hate surprise costs when we are budgeting for a new project. To eliminate these miscues when calculating your flooring installation, make note of any doors, closets, and transition areas in the room. Calculate each square footage and add them to your total for accurate planning.
- Additional Rooms – If you have calculated the square footage within other rooms where you want new floors as well, add ALL the respective square footage figures together for the total amount of flooring needed.
- Measure Walls – You can use all these measuring steps, tips, and principles to measure your walls for planning accent wall projects as well!
Extra Flooring – Once you have the total area of all rooms and considerations, it’s very wise to add an additional 10%-15% of extra flooring to cover waste and plank cuts that are needed to complete the floor. Trust us, you do not want to run out of flooring towards the end of your installation. Multiply your total area by 1.1 to 1.5 (1.5 is recommended for trickier floorplans) to get your extra flooring amount. Add this to your total area and now you have your Grand Total!
As you shop for DuraDecor products at Home Depot, you will notice that each fabulous style offers different square footage of flooring per case, or sqft/case. Divide your Grand Total figure by the square foot per case of your fav DuraDecor style, and then round up this figure to the nearest whole figure to know how many cases you should purchase.
Now that you know how much flooring you need, it’s time to gather your favorite inspiration on our DuraDecor Pinterest and Facebook pages and have your favorite DuraDecor variety shipped directly to you!
Looks like all those trying years of math homework paid off after all… just don’t ask us about Calculus.


Korean mathematician Heo Jun won the Fieldls Medal, a professor of Princeton University. It is regarded as a great place in the field of basic science.
The International Mathematics Federation (IMU) announced on May 5 (local time) that four people including Professor Heo Joon were selected as the Fields award at the International Mathematical Congress (ICM) held in Helsinki, Finland.
Professor Huh won the Fields Award for his contributions to a number of challenges in the field of union theory using the major season. His research contributes to the development of various applications such as information and communication, semiconductor design, traffic, logistics, machine learning, and statistical physics.
Together with Professor Huh, Marina Via Jossa, Professor of Lausanne Federal Institute of Technology, Dubinyl Copin French School of High School, and Professor of Oxford University in the UK, James Meinad, were selected.
The Fields Award is a prizes of the International Mathematics Federation once every four years of young mathematicians under the age of 40 and awarded to the future scholars. There is no mathematics sector in the Nobel Prize, and is recognized as the Nobel Prize in Mathematics. Professor Huh was 39 years old this year, this was the last chance for the Fields Award.
Professor Huh was recognized for his work that solved the long-term mathematics ‘Read’s Conjecture’ and ‘ROTA Conjecture’. In particular, it was highly regarded that the problem was solved by creatively combining the methodology of the algebraic and union theory that seemed to be related to each other.
He was born in the United States and returned home when he was two years old, and he was elementary and middle school and university education in Korea. He graduated from Seoul National University, Physics, and received a master’s degree in mathematics from Seoul National University. He then received a Ph.D. in mathematics from the University of Michigan through the University of Illinois Avana Champagne.
In his childhood, he did not show talent in mathematics, and he did not major in mathematics in the undergraduate, but he started out late and surprised his academic world. Before he studied mathematics, he dreamed of becoming a poet or a science journalist. During his attending Seoul National University, he was invited as a professor at Seoul National University and met with Japanese mathematician Hironaka Hisuke, a Japanese mathematician who was studying in Korea.
Professor Heo Joon said, Mathematics is a process of understanding my own prejudice and limitations, and I am more commonly curious about how human beings can think and how deep. I feel deeply grateful because I have a meaningful award for being happy.
Geum Jong-hae, chairman of the Korean Mathematics Society, said, Professor Heo Joon won the Fields Award, the best mathematician’s honor, and in February of this year, the International Mathematics Federation raised the national grade of Korean mathematics to the highest level of 5 groups. The science has won the Fields Award, so the Nobel Prize will soon continue.
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During this webinar Math Solutions professional development experts will:
- review the defining characteristics of the CCSS;
- help you understand the nature of the shifts needed to implement the CCSS;
- launch your analysis of your current standards and how they align with the CCSS; and
- show classroom video demonstrating instructional practices and content reflective of the CCSS.
Learn More about Math Solutions support for the Common Core State Standards.


Based on what we have known on Interest protocol’s interest rate model, we found that we can improve its borrow rate model by introducing PID controller,(the deposit rate is based on the borrow rate and the protocol fee rate). The core design of the borrow rate model is that when s value is small, we want to raise both borrow rate to encourage users to pay their loans and deposit rate to encourage users to deposit USDC (both way will help to increase s value). Thus, the core design of new borrow rate model will also raise borrow rate when s value is small.
First of all, we need to understand what is PID controller: In brief, PID is an adjusting algorithm when we want to change a parameter W to its optimal value W0 by adjusting another parameter Y.
The formula is :
e(t) = W0 - W(t), it means the difference between W’s target value (or optimal value) and W’s value at time t.
Y(t) = Y(t-1) +u(t), it means we should adjust Y(t) to the sum of u(t) (calculated as above) and Y(t-1)
For more information about PID controller, please see PID controller - Wikipedia
Introducing PID in our borrow rate model:
u(t) = P(t) + I(t) + D(t)
e(t) = S0 -S
P(t) = Kp * e(t)
I(t) = I(t-1) + Ki * e(t)
D(t) = Kd * ( e(t) -e(t-1) )
IR(t) = IR(t-1) + u(t)
S(t)is the s value at time t;
S0 is our target s value;
Kp、Ki、Kd are three parameters in PID’s formula;
IR(t) is the borrow rate at time t;
In our first borrow rate model (three-line piecewise function), we apparently want s value to be above 0.4, so we can simply set S0 as 0.4 (S0 can be other number, and it also can be dynamic, here is just an example to show a simply way to value Kp、Ki、Kd)
To find optimal value for Kp、Ki、Kd (the process is called tunning), we are going to use Ziegler-nichols method (again, other methods can be used here).
For more information about Ziegler-nichols method, please see Ziegler–Nichols method - Wikipedia
Ziegler-nichols method process:
To complete the simulation in Ziegler-nichols method, we need a relationship betweer S(t) and IR(t), because in our PID example we want to affect S(t) by adjusting IR(t).
A simple way to set the simulation model:
When IR(t) is 0, S(t)should be 0, because no one would like to deposit.
When IR(t) is large enough, let’s say 0.5, S(t) should be 1,because none would like to carry the loans.
So we can have a simple simulation model:
S(t) = S(t-1) + ΔIR * 2 + whitenoise, ΔIR = IR(t-1) -IR(t-2)
IMPORTANT: the simulation model is very important in the process of finding best value for Ks, the actual simulation model can be very complicated and it should be based on testnet data if possible. Here is just a very basic linear simulation model used to show the process of tunning.
We set S(0) as 0.2 and IR(0) as 0.1. By following the third step of the graph above, we find the Kmax as 0.2 and f0 as 0.1, and thus we have Kp = 0.12, Ki = 0.024, Kd = 0.15 by using classic PID in the table(Ku =0.2 and Tu=10 inour case):
The graph of S(t) when we set Kp=0.2,Ki=0,Kd=0 and find sustained oscillation.
The graph of S(t) with Kp = 0.12, Ki = 0.024, Kd = 0.15
The graph of IR(t) with Kp = 0.12, Ki = 0.024, Kd = 0.15:


【报告题目】： Portfolio Selection Under Loss Aversion with a Mentally Adjusted Reference Point
【报告人】：MORIS STRUB 博士 香港中文大学
Dr. Moris Strub received his PhD in Financial Engineering from the Chinese University of Hong Kong in 2018after obtaining a BSc in Mathematics and a MSc in Applied Mathematics from ETH Z¨ urich, both with distinction.He currently is a postdoctoral researcher at the Chinese University of Hong Kong.His research interests includeportfolio selection problems in behavioral finance and economics,preference formation and updating and risk management.
Most models on portfolio selection under loss aversion make a strong assumption on what the reference point is or how it is formed. In this paper, we relax this assumption by proposing three models where the investor mentally adjusts an initial, exogenous reference point: A model of mental reference point updating, where the process of determining an optimal solution influences the formation of the reference point, a model of a partially endogenous reference point, where the reference point is determined among a set of candidates through an equilibrium condition, and a model of a mentally optimal reference point, which strikes a balance between a completely exogenous reference point and a reference point fully determined by the chosen investment strategy in a predefined manner. We find that optimal trading behavior is remarkably robust with respect to mental reference point formation. Whereas the investor behaves as if her reference point were completely exogenous in the model of reference point updating, an investor with a partially endogenous or mentally optimal reference point exhibits a lower level of loss aversion. We further find that the optimal trading behavior of a loss averse investor with a mentally adjusted reference point converges to the neoclassical solution with increasing experience and sophistication of the investor under those two latter models.


Available in: GLM, GAM
solver option allows you to specify the solver method to use in GLM and GAM. When specifying a solver, the optimal solver depends on the data properties and prior information regarding the variables (if available). In general, the data are considered sparse if the ratio of zeros to non-zeros in the input matrix is greater than 10. The solution is sparse when only a subset of the original set of variables is intended to be kept in the model. In a dense solution, all predictors have non-zero coefficients in the final model.
You can specify one of the following solvers:
IRLSM: Iteratively Reweighted Least Squares Method
L_BFGS: Limited-memory Broyden-Fletcher-Goldfarb-Shanno algorithm
COORDINATE_DESCENT: Coordinate Decent
COORDINATE_DESCENT_NAIVE: Coordinate Decent Naive
AUTO: Sets the solver based on given data and parameters (default)
GRADIENT_DESCENT_LH: Gradient Descent Likelihood (available for Ordinal family only; default for Ordinal family)
GRADIENT_DESCENT_SQERR: Gradient Descent Squared Error (available for Ordinal family only)
Detailed information about each of these options is available in the Solvers section. The bullets below describe how the algorithm chooses the solver when
If there are more than 5k active predictors, the algorithm uses L_BFGS.
alpha=0(ridge or no penalty), the algorithm uses L_BFGS.
If lambda search is enabled, the algorithm uses COORDINATE_DESCENT.
If your data has upper/lower bounds and no proximal penalty, the algorithm uses COORDINATE_DESCENT.
If none above is true, then the algorithm defaults to IRLSM. This is because COORDINATE_DESCENT works much better with lambda search.
Below are some general guidelines to follow when specifying a solver.
L_BFGS works much better for L2-only multininomial and if you have too many active predictors.
You must use IRLSM if you have p-values.
IRLSM and COORDINATE_DESCENT share the same path (i.e., they both compute the same gram matrix), they just solve it differently.
Use COORDINATE_DESCENT if you have less than 5000 predictors and L1 penalty and when
COORDINATE_DESCENT performs better when
lambda_searchis enabled. Also with bounds, it tends to get a higher accuracy.
Use GRADIENT_DESCENT_LH or GRADIENT_DESCENT_SQERR when
family=ordinal. With GRADIENT_DESCENT_LH, the model parameters are adjusted by minimizing the loss function; with GRADIENT_DESCENT_SQERR, the model parameters are adjusted using the loss function.