# Ppt on index numbers in mathematics

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Analytic Geometry Unit 5: Quadratic Function September 17, 2013 Session will be begin at 8:00 am While.

Mathematics F-IF Which Function? What’s the big idea? Interpret the structure of expressions. Write expressions in equivalent forms to solve problems Create equations that describe numbers or relationships Solve equations and inequalities in one variable Solve systems of equations Interpret functions that arise in applications in/.map.mathshell.org.uk/materials/index.phphttp://www.map.mathshell.org.uk/materials/index.php  Illustrative Mathematics - http://illustrativemathematics.org/http:///

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Kindergarten Unit 1: Counting With Friends May 1, 2012 Session will be begin at 3:15 pm While you are.

.me/  Phil Daro talks about the Common Core Mathematics Standards - http://serpmedia.org/daro-talks/index.html http://serpmedia.org/daro-talks/index.html Resources Books  Van De Walle and Lovin, Teaching Student-Centered Mathematics, K-3  Fosnot and Dolk, Young Mathematicians at Work  Wright, et al, Teaching Number in the Classroom  Wright, et al, Early Numeracy  Parrish, Number Talks  Clements and Sarama, Learning and Teaching Early/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar First Grade Unit 1: Creating Routines Using Data May 3, 2012 Session will be begin at 3:15 pm While.

.me/  Phil Daro talks about the Common Core Mathematics Standards - http://serpmedia.org/daro-talks/index.html http://serpmedia.org/daro-talks/index.html Resources Books  Van De Walle and Lovin, Teaching Student-Centered Mathematics, K-3  Fosnot and Dolk, Young Mathematicians at Work  Wright, et al, Teaching Number in the Classroom  Wright, et al, Early Numeracy  Parrish, Number Talks  Clements and Sarama, Learning and Teaching Early/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Fifth Grade Unit 4: Adding, Subtracting, Multiplying and Dividing Fractions October 11, 2012 Session.

://prezi.com/yyqkeco2rob5/number-talks/ http://www.insidemathematics.org/index.php/number-talks Number Talk Who does the math thinking during the number talk? What specific mathematics do the students demonstrate they understand? What does the teacher do to support the student discourse? What recording techniques might the teacher employ that supported learning in the class? Assessment? http://www.parcconline.org/samples/mathematics/grade-4-mathematics Mathematical Communication Tips on/

##### MTH55_Lec-41_sec_7-3a_Radical_Product_Rule.ppt.ppt 1 Bruce Mayer, PE Chabot College Mathematics Bruce Mayer, PE Licensed Electrical.

-41_sec_7-3a_Radical_Product_Rule.ppt.ppt 11 Bruce Mayer, PE Chabot College Mathematics Simplify by Product Rule  Use The Product Rule in REVERSE to Facilitate the Simplification process Note that and must both be real numbers BMayer@ChabotCollege.edu MTH55_Lec-41_sec_7-3a_Radical_Product_Rule.ppt.ppt 12 Bruce Mayer, PE Chabot College Mathematics Simplify a Radical Expression with Index n by Factoring 1.Express the radicand as a product/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Accelerated Analytic Geometry B/Advanced Algebra Unit 6: Polynomial Functions September 5, 2013 Session.

Adapted from Illustrative Mathematics A-APR Trina’s Triangles What’s the big idea? Use complex numbers in polynomial identities and equations. Interpret the structure of expressions. Write expressions in equivalent forms to /.com/ Assessment Resources  MAP - http://www.map.mathshell.org.uk/materials/index.phphttp://www.map.mathshell.org.uk/materials/index.php  Illustrative Mathematics - http://illustrativemathematics.org/http://illustrativemathematics.org/  CCSS Toolbox: PARCC Prototyping Project/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Second Grade Unit 1: Extending Base Ten Understanding May 3, 2012 Session will be begin at 3:15 pm While.

- http://serpmedia.org/daro-talks/index.html http://serpmedia.org/daro-talks/index.html Resources Books  Van De Walle and Lovin, Teaching Student-Centered Mathematics, K-3  Fosnot and Dolk, Young Mathematicians at Work  Wright, et al, Teaching Number in the Classroom  Wright, et al, Teaching Number-Advancing children’s skills and Strategies  Wright, et al, Developing Number Knowledge  Parrish, Number Talks  Shumway, Number Sense Routines (preview!)  Wedekind, Math/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Coordinate Algebra & Accelerated Coordinate Algebra/Analytic Geometry A Unit 1: Relationships Between.

the development of students’ number sense, flexibility, fluency, collaborative skills and communication. Navigating a Unit Classroom Routines What might all of this look like in the classroom?  http://ccgpsmathematics6-8.wikispaces.com/ http://ccgpsmathematics6-8.wikispaces.com/ Also check out:  Inside Mathematics : Mathematical Community of Learners - http://www.insidemathematics.org/index.php/video-tours-of-inside- mathematics/classroom-teachers/157-teachers-reflect-mathematics- teaching-practices http/

. 10 2 = 100.  Students should recall the index laws.  Some students may think that any number multiplied by a power of ten qualifies as a number written in standard form.  When rounding to significant figures some students may think, for example, that 6729 rounded to one significant figure is 7. Problem solvingKeywords  Link with other areas of mathematics, such as compound measures, by using speed/

##### MA4266 Topology Wayne Lawton Department of Mathematics S17-08-17, 65162749

Mathematics S17-08-17, 65162749 matwml@nus.edu.sgmatwml@nus.edu.sg http://www.math.nus.edu.sg/~matwml/ http://arxiv.org/find/math/1/au:+Lawton_W/0/1/0/all/0/1 Lecture 2. Friday 15 Jan 2010 Indexed/ Sets Definition (p. 13)a set and for each there is a setThe collection is said to be indexed/ Products Definition For an indexed collection of sets If /1: Between every two real numbers there is a rational number. Finite and Infinite Sets Finite/2.2 The set of real numbers is uncountable. Open and Closed Sets/

##### Transition to PA Common Core Mathematical Practices

of problems and persevere in solving them. 4th Grade For an elementary audience you may want to show video of a 4th grade example. Click on the icon to view the video: http://insidemathematics.org/index.php/classroom-video-visits/public-lesson-number-operations/182-multiplication-a-divison-problem-4-part-c Copyright ©2011 Commonwealth of Pennsylvania Standards for Mathematical Practice Standard 4: Model/

a "family, triple, or set." http://www.insidemathematics.org/index.php/standard-1 © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Ratios MP 2: Reason abstractly and /help me contextualize and decontextualize problems. Contextualize Decontextualize I can take numbers and put them in a real-world context. I can take numbers out of context and work mathematically with them. Reasoning habits include: 1) creating an understandable representation/

##### Date : 2014/06/10 Author :Shahab Kamali Frank Wm. Tompa Source : SIGIR’13 Advisor : Jia-ling Koh Speaker : Shao-Chun Peng Retrieving Documents With Mathematical.

a text search engine is used to index and retrieve them Purpose 8 Mathematical Expression its appearance(or presentation) its mathematical meaning (often termed its content) how to capture the relevance of mathematical expressions, how to query them, and /respect to the sizes of the matched expressions in increasing order. PATTERN SEARCH 17 a template can be defined using wildcards as non- terminals,and regular expressions to describe their relationships Number wild cards,Variable wild cards, Operator wild /

##### REASONING AND EXPLAINING: MATHEMATICAL PRACTICES OF THE COMMON CORE Statewide Instructional Technology Project.

. Reason abstractly and quantitatively. Mathematically proficient students can…  Make sense of quantities and their relationships in problem situations.  Take math in and out of context  Work with symbols as abstractions  Use a well-developed number sense  Apply properties of/www.thinkfinity.org Online Resources Main page of free teaching materials: http://www.geogebra.org/en/wiki/index.php/English#Number_Sense Area of a circle: http://www.geogebratube.org/student/m279 Classifying Quadrilaterals: http/

##### How No Child Left Behind (NCLB) Accountability Works in New York State: Determining 2010-11 Status Based on 2009-10 Results October 2010 The New York State.

scoring at Levels 2, 3, and 4 + the number scoring at Levels 3 and 4) ÷ number of cohort members]  100 A Performance Index (PI) is a value from 0 to 200 that is assigned to an accountability group, indicating how that group performed on a required State test (or approved alternative) in English language arts, mathematics, or science. PIs are determined using the following equations/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Second Grade Unit 4: Applying Base Ten Understanding October 4, 2012 Session will be begin at 3:15 pm.

foundation of functional thinking because in order to see a number in relationship to another, we must pay attention to any dependency relationship or rule for correspondence. Tad Watanabe, 2008 Tad also says: How are Number Talks Useful? Want more? http://insidemathematics.org/index.php/2nd-grade number-of-the-day Number Talk Who did the math thinking during the number talk? What specific mathematics did the students demonstrate/

##### Indian Digital Library in Engineering Science & Technology (INDEST) Consortium by Dr. Jagdish Arora Librarian, IIT Bombay & National Coordinator, INDEST.

, one of the world´s leading scientific publishers. Key subject areas include: Mathematics, Computer Science, Physics, Astronomy, Geosciences, Chemistry Engineering and Medicine. The resource/ topics worldwide. It consists of 1800 full-text journals and 2000 journals that are indexed and abstracted. The resource has four components, i.e. ABI / INFORM Complete,/ access to CA. Access Options: Z39.50 Client on port 210 Coverage in Number of Years: 1907 to present Print-base: No. Print Equivalent: Chemical /

##### State Accountability Overview 1 Performance Index Framework: For 2013 and beyond, an accountability framework of four Performance Indexes includes a broad.

readiness benchmarks.  Number of students who earn postsecondary credit required for a foundation high school program, an associate’s degree, or an industry certification. 6 Distinction Designations 2013 Distinction Designation  Campus Top Twenty-Five Percent: Campuses in the top quartile of their campus comparison group earn a distinction designation.  Student Progress (based on Index 2)  Academic Achievement in:  Reading/English Language Arts  Mathematics 2014 Distinction/

##### 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems

of the second matrix have two indices, signifying their location within the matrix. The first index is the number of the row and the second is the number of the column, so that together the entry’s position is uniquely identified. For example/1). (continued) Note that the augmented matrix Ã determines the system (1) completely because it contains all the given numbers appearing in (1). Section 7.3 p36 Gauss Elimination and Back Substitution 7.3 Linear Systems of Equations. Gauss Elimination Gauss Elimination/

##### No Child Left Behind (NCLB) Accountability in New York State Using 2010–11 School Year Results To Determine 2011–12 School Year Status The New York State.

scoring at Levels 2, 3, and 4 + the number scoring at Levels 3 and 4) ÷ number of cohort members]  100 A Performance Index (PI) is a value from 0 to 200 that is assigned to an accountability group, indicating how that group performed on a required State test (or approved alternative) in English language arts, mathematics, or science. PIs are determined using the following equations/

##### Teaching Secondary Mathematics

Mathematically: Arithmagons Problem I create a puzzle for you by placing numbers at the corners of a triangle, as shown below. I then add up the two numbers in adjacent corners and write the total on the line joining them. I now hide the corner numbers/ for effective functioning in society both within and beyond school. (http://vels.vcaa.vic.edu.au/essential/interdisciplinary/thinking/index.html) Linking “Working Mathematically” with other VELS domains How does Working Mathematically foster Personal Learning/

##### What happens to all that maths? Peter K Dunn Department of Mathematics and Computing University of Southern Queensland.

you get to play in everyone’s backyard.” (Tukey) Perhaps the most useful topic in mathematics is statistics — and yet it is a very small part of it. Perhaps the most useful topic in mathematics is statistics — and yet/ boom”: An estimated 20000 unfilled jobs in the US in bioinformatics by 2005 An estimated 20000 unfilled jobs in the US in bioinformatics by 2005 A number of Australian universities have bioinformatics degrees (including USQ) A number of Australian universities have bioinformatics degrees (/

##### Response to Intervention www.interventioncentral.org RTI Teams: Best Practices in Elementary Mathematics Interventions Jim Wright www.interventioncentral.org.

Source: Big ideas in beginning reading. University of Oregon. Retrieved September 23, 2007, from http://reading.uoregon.edu/index.php Response to Intervention www.interventioncentral.org 23 Five Strands of Mathematical Proficiency 1.Understanding: Comprehending mathematical concepts, operations, and relations--knowing what mathematical symbols, diagrams, and procedures mean. 2.Computing: Carrying out mathematical procedures, such as adding, subtracting, multiplying, and dividing numbers flexibly, accurately/

##### Applying the Normal Distribution: Z-Scores Chapter 3.5 – Tools for Analyzing Data Mathematics of Data Management (Nelson) MDM 4U.

scores offer a way to compare scores among members of the class, find out how many had a mark greater than yours, indicate position in the class, etc. mean = 68.0 standard deviation = 10.9 Example 2: Suppose your mark was 64 Compare your mark to / 180-185 try page 186 #2-5, 7, 8, 10 Mathematical Indices Chapter 3.6 – Tools for Analyzing Data Mathematics of Data Management (Nelson) MDM 4U What is an Index? An index is an arbitrarily defined number that provides a measure of scale These are used to indicate a /

##### Response to Intervention www.interventioncentral.org Best Practices in Classroom Math Interventions (Elementary) Jim Wright www.interventioncentral.org.

receiving interventions should focus intensely on in-depth treatment of whole numbers in kindergarten through grade 5 and on rational numbers in grades 4 through 8. 17 Response to Intervention www.interventioncentral.org Assisting Students Struggling with Mathematics: RtI for Elementary & Middle/ready to follow a nine-step incremental-rehearsal sequence: First, the tutor presents the student with a single index card containing an ‘unknown’ math fact. The tutor reads the problem aloud, gives the answer, then /

##### All information in this Power Point is located on www.engageny.orgwww.engageny.org Dr. Elizabeth Frangella January 2013 1.

100. Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. Determine the unknown whole number in a multiplication or division problem relating three whole numbers. Use place value understanding and /O Commoncore.pearson.ed.com/ http://commoncore.pearsoned.com/index.cfm?locator=PS1c O9 http://commoncore.pearsoned.com/index.cfm?locator=PS1c O9 O Ilustrative Mathematics http://illustrativemathematics.org/standards/k8 http://illustrativemathematics.org/standards/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Fifth Grade Unit 3: Multiplying and Dividing with Decimals September 13, 2012 Session will be begin.

Grid paper Metric measurement tools Anchor charts Number talks Examples & Explanations Mathematically Flexible Thinking Look for likenesses and differences. Expansiveness of thought Understanding of decimals at an appropriate developmental level Reasoning and articulating thought both verbally and in journals Examples & Explanations http://www.learner.org/courses/learningmat h/number//index.html http://www.learner.org/courses/learningmat h/number//index.html How to develop all of these/

##### By Niko Surace For kids in Calculus Subject: Mathematics Go to index Let’s Do Math.

a way to prove all of the volume equations in the world. * Back to Index Back to Index * There many ways to see the same notation for derivatives. Great mathematical minds used different ways to say the same thing. In class we will use Leibniz notation. * This/and easy. The rule states that you take the exponent of any number and multiply it by the number and subtract one from the exponent itself. * Some examples * Back to Index Back to Index * The sum and difference rule are another informal way of finding /

##### 2005 Connecticut Mathematics Curriculum Framework: Building Understanding Across the Grades November 9, 2005.

a pattern and describe the rule using the physical attributes or position of objects in a sequence. (1) Recognize, copy and extend patterns of sounds, colors, shapes, textures and numbers in a variety of contexts and describe the rule of the pattern. (2) Make/ Mathematics Page - http://www.state.ct.us/sde/dtl/curriculum/currm ath.htm http://www.state.ct.us/sde/dtl/curriculum/currm ath.htm http://www.state.ct.us/sde/dtl/curriculum/currm ath.htm Implementing the Standards - http://illuminations.nctm.org/index/

##### Birmingham,15 th April 2010 1 Mathematics and Telecommunications – aspects from an operator’s perspective Michael Walker President of the IMA Vodafone.

out in the NUMS consultative report University Liaison Peter Rowlett peter.rowlett@ima.org.uk £400 grants available for any university maths society –http://www.ima.org.uk/student/index.htmlhttp://www.ima.org.uk/student/index.html/network –diversity coding and MIMO: quaternions and Cayley numbers Designing and managing networks for IP data traffic Securing the cloud How can mathematics help? –Don’t expect well formulated mathematical problems Users’ needs Customer propositions Service Enabling Connectivity /

##### Math Models progression in the early grades Becky Paslay 2015 IEA Summer Institute.

does she have left? -How should your students model this problem? -Write them on index cards. Models *Bar/Tape Model *Number Line Pictures Ten Frame Venn Diagram Tree Diagram Graphs Tools *Unifix Cubes Rekenrek Dice, Cards/ of cognitive growth. American psychologist,19(1), 1. Cobb, P. (2000). Conducting teaching experiments in collaboration with teachers. In R. Lesh & A. Kelly (Eds.), Handbook of research design in mathematics and science education (pp. 307-334). Mahwah, NJ: Lawrence Erlbaum. Imm, K. L., /

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Third Grade Unit 4: Operations and Algebraic Thinking: Patterns in Addition and Multiplication October.

Want more? http://www.insidemathematics.org/index.php/number-talks Number Talk Who does the math thinking during the number talk? What specific mathematics do the students demonstrate they understand? What does the teacher do to support the student discourse? What recording techniques might the teacher employ that supported learning in the class? Assessment? http://www.parcconline.org/samples/mathematics/grade-3-mathematics Assessment? http://www.parcconline.org/

##### U NIVERSITY of V AASA Communications and Systems Engineering Group TLTE.3120 Computer Simulation in Communication and Systems (5 ECTS)

2 Basics of Matlab  Number representation  Matrix operations  Matlab data types  Complex numbers in Matlab 26 U NIVERSITY of V AASA Communications and Systems Engineering Group Number Representation, Computational Accuracy 27 U/continue index = 1; while (index < 5) if (index == 3) break; end; index index = index + 1; end; index = 1; while (index < 5) if (index == 3) index = index + 1; continue; end; index index = index + 1; end; index = 1 index = 2 index = 1 index = 2 index = 4 Note write index to /

##### CCGPS Mathematics 6 th Grade Update Webinar Unit 4: One-Step Equations and Inequalities November 8, 2013 James Pratt – Brooke Kline.

numbers in this unit  Better problem  Are these two expressions equal? 3(2x+1) + 2x and 8x + 4  3(2x+1) + 2x and 8x + 4  Specific Standards for Mathematical Prac tice  A step was taken by the team to incorporate in each unit specific Standards for Mathematical/bit.ly/OoyaK5  MAP - http://www.map.mathshell.org.uk/materials/index.phphttp://www.map.mathshell.org.uk/materials/index.php  Illustrative Mathematics - http://illustrativemathematics.org/http://illustrativemathematics.org/  CCSS Toolbox: PARCC /

##### Adequate Yearly Progress (AYP) Academic Performance Index (API) and Analysis of the Mathematics Section of the California Standards Test (CST) Data Elementary.

Proficient Basic Below Basic Far Below Basic 10% 20% 40% 10% 20% % of students in each quintile Academic Performance Index (API) Criteria: Quintile Rankings based on Math CST Quintile API Weights API 51000 4875 3 700/ Mathematics Far Below BasicBelow BasicBasicProficientAdvanced 150 to 247248 to 299300 to 349350 to 429430 to 600 State Target for All Students CST Assessment Protocol: Simplifying the Data In each Reporting Cluster, simplify the percentage correct by rounding to the nearest single digit number/

##### MATHEMATICAL MODELLING FOR POLLUTION ASSESSMENT IN AQUATIC ENVIRONMENTS OF MYSORE DISTRICT N.S. VEERESHA KUMAR, SHANKAR P.HOSMANI Department of studies.

to be eutrophic during May when zooplankton increase in number. The Soyer’s frequency index and Bellan Santini’s dominance index are high and the dispersion is only 3 % with diatoms dominant. Therefore diversity indices, which constitute mathematical models, serve as important tools in pollution assessment of aquatic environments. Principal component analysis serves in identifying key toxic parameters and helps in proper modelling of lake ecosystems. INTRODUCTION A/

##### Tech-knowledgy in Mathematics: Investigating Mathematical Models and Concepts Using Virtual Manipulatives and Applets Jennifer M. Suh, Ph.D.

/~jsuh4/mathbridges/index.h tml References Battey, D., Kafai, Y, & Franke, M. (2005). Evaluation of mathematical inquiry in commercial rational number software. In C. Vrasidas & G. Glass (Eds.), Preparing teachers to teach with technology (pp. 241-256). Greenwich, CT: Information Age Publishing. Garofalo, J., Drier, H., Harper, S., Timmerman, M. A., & Shockey, T. (2000). Promoting appropriate uses of technology in mathematics teacher preparation. Contemporary Issues in Technology and/

##### Response to Intervention www.interventioncentral.org RTI: Best Practices in Writing & Math Interventions Jim Wright www.interventioncentral.org.

Source: Big ideas in beginning reading. University of Oregon. Retrieved September 23, 2007, from http://reading.uoregon.edu/index.php Response to Intervention www.interventioncentral.org 80 Five Strands of Mathematical Proficiency 1.Understanding: Comprehending mathematical concepts, operations, and relations--knowing what mathematical symbols, diagrams, and procedures mean. 2.Computing: Carrying out mathematical procedures, such as adding, subtracting, multiplying, and dividing numbers flexibly, accurately/

##### Robin Mariah Jon Philosophy & Psychology Geography & History Literature & Rhetoric The ArtsTechnology (Applied Sciences) Natural Sciences & Mathematics.

ordinary signiﬁcance of nought, to number a classiﬁcation of all human knowledge in print; this supplemented by the next simplest known symbols, a, b, c, indexing all heds of the tables, so /Fishing, hunting, shooting Philosophy & Psychology Geography & History Literature & Rhetoric The ArtsTechnology (Applied Sciences) Natural Sciences & Mathematics LanguageSocial SciencesReligionGeneralities There is an abridged version for small local libraries, and a more detailed/complex version if the library grows/

##### BELL RINGER – MATH JOURNAL ENTRY Yesterday we discussed Properties of Exponents. Summarize yesterday’s lesson using mathematical vocabulary. Underline.

BELL RINGER – MATH JOURNAL ENTRY Yesterday we discussed Properties of Exponents. Summarize yesterday’s lesson using mathematical vocabulary. Underline the math vocabulary words you use. Choose 2 of your math vocabulary words and define/ variable by the index. 2.Pull out that variable. 3.Anything left over stays in the radicand. REMINDERS 1.Even indexes must be positive or they are imaginary, not real. 2.Odd indexes can be negative. 3.The square root of a number can be re-written as that number to the ½ power/

##### Hueneme Elementary School District Staff Development Day #3 Common Core State Standards Mathematics.

in college and careers. The Common Core State Standards are: Built on progressions: narrative documents describing the progression of a topic across a number of grade levels. Informed by: 1. Research on children’s cognitive development 2. Logical structure of mathematics/ Standards of Mathematical Practice http://www.youtube.com/watch?v=m1rxkW8ucAI On Your Own or Collaboratively Watch and Discuss: Classroom Videos of Exemplary Lessons http://www.insidemathematics.org/index.php/mathematical-practice-standards/

##### SEEING STRUCTURE AND GENERALIZING: MATHEMATICAL PRACTICES OF THE COMMON CORE Statewide Instructional Technology Project.

Grade Patterns http://www.ixl.com/math/grade-1/describe-patterns Elementary - Middle: Patterns in Mathematics: Teachers’ Lab Mystery Operations http://www.learner.org/teacherslab/math/patterns/mystery/ BillyBug: http://www.oswego.org/ocsd-web/games/BillyBug2/bug2.html Fun Brain Number Cracker http://www.funbrain.com/cracker/index.html No frills http://www.harcourtschool.com/activity/rubber_number_patterns_and_rules/ Function Machine http://www.mathplayground.com/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Fourth Grade Unit 2: Fraction Equivalents August 8, 2012 Session will be begin at 3:15 pm While you.

/index.html Resources Books  Van De Walle and Lovin, Teaching Student-Centered Mathematics, 3-5  Fosnot and Dolk, Young Mathematicians at Work  Parrish, Number Talks  NCTM, Developing Essential Understanding of Rational Numbers  Shumway, Number Sense Routines  Wedekind, Math Exchanges  New- Burns and Silbey, So You Have to Teach Math?  New- Teaching with Intention- Debbie Miller  New- Moynihan, Math Sense  New- Confer and Ramirez, Math Tools in/

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar 6 th Grade Unit 3: Expressions August 28, 2012 Session will be begin at 8:00 am While you are waiting,

in which letters stand for numbers and with expressions involving whole number exponents. Develop a deep understanding with applying the properties of operations to generate and identify equivalent expressions. What’s the big idea? Standards for Mathematical/Core Mathematics Standards - http://serpmedia.org/daro-talks/index.html http://serpmedia.org/daro-talks/index.html Books  Van DeWalle and Lovin, Teaching Student-Centered Mathematics, 6-8 Resources Professional Learning Resources  Inside Mathematics- /

##### CCGPS Mathematics Unit-by-Unit Grade Level Webinar Fourth Grade Unit 3: Adding and Subtracting Fractions September 12, 2012 Session will be begin at 3:15.

Examples & Explanations Mathematically Flexible Thinking Look for likenesses and differences. Expansiveness of thought Understanding of fractions at an appropriate developmental level Reasoning and articulating thought both verbally and in journals Examples & Explanations http://www.learner.org/courses/learningmat h/number//index.html http://www.learner.org/courses/learningmat h/number//index.html How to develop all of these? Hold number talks regularly, making sure to include ideas/

##### Katie Hayes. The bulk of Greek mathematics was Geometry The Greeks had many inconsistencies and a very clunky number system that prevented much advanced.

volume and constructing one of exactly twice the volume) and trisecting the angle (Reluga, Index) The doubling of the cube would be addressed in 1637 by Fermat, in his famous Fermat’s Last Theorem. A translation of his proposal into English: “There /seige. Archimedes helped defend the city using a number of machines and weapons he created, but eventually the Romans took over the city. According to legend, Archimedes was tracing some mathematical problem in the dirt of the street when a soldier attempted/

##### Common Core State Standards Mathematical Practices Jeremy Centeno.

learning to ensure that all children will graduate high school with the skills they need to be successful. In mathematics, this means three major changes. Teachers will concentrate on teaching a more focused set of major math concepts//index.p hp/classroom-video-visits/public- lesson-number-operations/179- multiplication-a-divison-problem-3- part-b http://insidemathematics.org/index.p hp/classroom-video-visits/public- lesson-number-operations/179- multiplication-a-divison-problem-3- part-b Mathematically /