Ppt on mathematics for class 9

Instructors: Dr. Lee Fong Lok Dr. Leung Chi Hong Student Name: Chan Mei Shan Student ID:S98039740 Topic:Coordinate Geometry (F3 Mathematics)

Chan Mei Shan Student ID:S98039740 Topic:Coordinate Geometry (F3 Mathematics) Distance Formula Slope Straight Line Drawing Review:Distance and Slope Equation/(b)What is the y-intercept of L ? Slope-intercept Form 7 min Slope-intercept Form Class Work Find the value of k for the following straight line, L. L : 3x + 4y + k = 0 with y-/Back=> Find the equation of the perpendicular bisector of the line segment joining (3, -5) and (-7, 9). [ Ans.: 5x - 7y + 24 = 0 ] Steps : 1.Find the coordinates of the midpoint./


Our Mathematics Bridges Program at Swansfield 2011-2012.

need.  Pre/Post Test Model.  Follow pace of intervention, not pace of mathematics class  Frequent monitoring of student understanding.  Students have been chosen based on need: /Includes a game for them to play.  Explains to parents and classroom teachers what students are doing in the classroom.  Includes a game for them to /class diagnostic (Week of Sept. 13) Strategies are Still the Key  Fact Families  +,- 2  Make 10  Five facts  X3  X 9  Fact Families  +,- 2  Make 10  Five facts  X3  X 9/


Discrete mathematics Kwon, Taekyoung Courtesy of Dr. Michael P. Frank University of Florida.

(§2.2) 7.Complexity (§2.3) 8.Number Theory (§2.4-2.6) 9.Matrices (§2.7) 10.Proof strategy (§3.1) 11.Sequences (§3.2) 12./ patterns, or anything! Mathematics is, most generally, the study of any and all absolutely certain truths about any and all perfectly well-defined concepts. Again, what ’ s this class about? What are “/conceptual foundation of all of computer science. A generally useful tool for rational thought! Uses for Discrete Math in Computer Science Advanced algorithms & data structures Programming /


Lecture 8 Discount Interest Ana Nora Evans 403 Kerchof Math 1140 Financial Mathematics.

d is the discount rate t is the term This is the formula for calculating the discount! 8 Math 1140 - Financial Mathematics P = S - D Where P is the proceeds D is the/ = S - D = S - Sdt = S(1-dt) Discount Proceeds Formula 9 Math 1140 - Financial Mathematics The discount proceeds formula P = S(1-dt) A)Moves money in forward in /or misreported grades Email Communication 18 Math 1140 - Financial Mathematics Before class, I need to get my many toys ready. After class, I am tired and very unlikely to remember what /


Mathematics at High Storrs Faculty 2: Mathematics & Statistics KS5 Information Evening Joseph Quarterman Deputy Head of Mathematics

at least A*AA for a conditional offer Mathematics at High Storrs Faculty 2: Mathematics & Statistics KS5 Information /Mathematics & Statistics KS5 Information Evening Why should I study Maths at High Storrs? Very strong department: –Experienced, enthusiastic and well qualified staff. –Study support available at all times – particularly around module exams. –In Y13, we have 9/ purchased online textbooks for all modules, –All past papers, revision materials and much more on class sites. Enrichment Activities/


How Does the Students’ “Demo” Effect a College-Level Calculus Class Hongli Gao Mentor: Dr. Milos Savic Department of Mathematics.

1982  A Modified Moore Method For Teaching Undergraduate Mathematics. Background Literatures Research Objectives 1 To investigate how the “in-class demos” effect students’ participation in a calculus class 2 To study if the “in-class demos” help improve students’ course /each  Preliminary: MTH 114 or 116 Comparison of Two Sections Control Group  Chinese TA  Same class notes  35 enrolled,16 consent  Class average  ACT-math: 25.9  Overall GPA: 3.19  Other math grades: 2.91  MWF 10:00-10:50AM /


CHARLES UNIVERSITY IN PRAGUE faculty of mathematics and physics C# Language &.NET Platform 6 th Lecture Pavel Ježek

mathematics and physics C# Language &.NET Platform 6 th Lecture Pavel Ježek pavel.jezek@d3s.mff.cuni.cz Some of the slides are based on University of Linz.NET presentations. © University of Linz, Institute for/CLI Type Inheritance (Sealed Types) System.Object (C# keyword: object ) user-defined classes (C# keyword: class ) delegates (C# keyword: delegate ) pointers (C#: Type * ) System./ Backspace8 New lineA Carriage return D Tab (horizontal) 9 xWXYZAny character WXYZ aAlert7 fForm feedC vVertical tabB Note/


CHARLES UNIVERSITY IN PRAGUE faculty of mathematics and physics C# Language &.NET Platform 8 th Lecture Pavel Ježek

mathematics and physics C# Language &.NET Platform 8 th Lecture Pavel Ježek pavel.jezek@d3s.mff.cuni.cz Some of the slides are based on University of Linz.NET presentations. © University of Linz, Institute for/ System Software, 2004 published under the Microsoft Curriculum License (http://www.msdnaa.net/curriculum/license_curriculum.aspx) CLI Type Inheritance System.Object (C# keyword: object ) user-defined classes (C# keyword: class/ return D Tab (horizontal) 9 xWXYZAny character WXYZ aAlert7 fForm /


PM6522 Integrating Constructivism and Meaningful Learning in Student-Centred Primary Mathematics Classrooms PM6522.

meaningful constructivist approaches in primary mathematics classes; –assess student’s prior knowledge, conceptions, motivation and mathematical learning; Objectives At the end/For problem solving –For understanding new concepts (Richard Mayer, 2002) Others 1.All must have and use an email. My email : boontat_teoh@recsam.edu.my My hp # : 016-4542693 2. Class/ii) To Kuala LumpurWeek 2 (Sat & Sun) iii) Hike up Penang HillWeek 4 (Thu) 9. Book Allowance : RM100 - (keep your receipts) - RM20 - Journal - RM30 - Pen/


Pythagoras Theorom Mathematics Mr H Learning Outcomes To be able to understand and use Pythagoras Theorom Key Vocabulary Pythagoras (Theorom) Right-Angled.

22 (Add four to the previous term) 47 (Add 9 to the previous term) 75 (T = 2 N - 11) S (Initial Letters of days of the week) Pythagoras Theorom Mathematics What is Pythagoras Theorom? “For any right triangle, the sum of the areas of the two/ Theorom Mathematics Mr Hennessy Have a Go: www.mymaths.co.uk Pythagoras Theorom Mathematics Mr H Answers: 9.25.49.7 5.76.22.7 Traffic Light?How did you find it? Difficult OK Easy Pythagoras Theorom Mathematics Plenary: (as a class) 25m Pythagoras Theorom Mathematics Mr /


Welcome to… Grade 9 Mathematics!. Classroom Policies & Procedures  Cell phones  Washroom  Late/absent  Missed work.

Welcome to… Grade 9 Mathematics! Classroom Policies & Procedures  Cell phones  Washroom  Late/absent  Missed work My expectations in the classroom…  Cell phones –the list…  Homework –Complete ALL homework on time. It may be checked for completion and marks.  In-class work time –If time is given in class, use it. Abuse of this time may lead to a phone call home or other consequences. Grading As/


Discrete mathematics Kwon, Tae-kyoung

(§2.2) 7.Complexity (§2.3) 8.Number Theory (§2.4-2.6) 9.Matrices (§2.7) 10.Proof strategy (§3.1) 11.Sequences (§3.2) 12./ patterns, or anything! Mathematics is, most generally, the study of any and all absolutely certain truths about any and all perfectly well-defined concepts. Again, what ’ s this class about? What are “/conceptual foundation of all of computer science. A generally useful tool for rational thought! Uses for Discrete Math in Computer Science Advanced algorithms & data structures Programming /


Scenario In 6 th and 7 th classes.   Need of data handling in mathematics  Data handling – nature of mathematics  Data handling – apscf-2011  Present.

Mathematics, Science and Social Science respectively. Peter got 23, 21,20, 19, 24 and 17 marks in the above subjects respectively. Interpret the data in an organized manner  Classroom Project  7.2 Representative Values Data handling in 7 th class/in 7 th class   7.4 Mode  Try This  1. Find the modes of the following data.  (i) 5, 6, 3, 5, 4, 9, 5, 6, 4, 9, 5 / Data handling in 7 th class   Looking back  Dr.C.R.Rao (India)  1920 AD  A well known Statistician, famous for his  “Theory of Estimation/


Peer-Led Team Learning in Precalculus Helmut Knaust Department of Mathematical Sciences The University of Texas at El Paso (UTEP) August 2, 2012.

no College Algebra course. Non-Stem majors take the Mathematics for Social Science course or the terminal course Mathematics in the Modern World. STEM majors take a 5/ NSF-STEP Grant* Used in all introductory Chemistry, Physics and Mathematics classes Delivery format in Precalculus since Fall 2008 changed to four hours/ challenging problems, strive to develop student thinking and encourage active student learning. 9 PLTL Principles Team Learning is student centered. Peer leaders are approachable. Peer leaders/


GPS Math Night Apalachee High School. 9 th Grade Math Choices for 2008-2009  Mathematics I : Algebra/Geometry/Statistics  Accelerated Mathematics I:

with a focus on standards not previously mastered.  preview mathematics concepts to be addressed in the regular mathematics class, including prerequisite skills necessary for those concepts, vocabulary, and definitions.  build a positive disposition toward learning mathematics. A-B Block Schedule  All 9 th grade students will attend their Math I or Accelerated Math I class every other day for the duration of the school year.  Students enrolled in/


Pre-Transfer Mathematics at Berkeley City College: An Adaptive Approach Presenter: Mary Jennings October 31, 2013 1:50-2:40 p. m.

and Functions Math 248VK Exponential and Logarithmic Functions Math 248VG Absolute Value Equations and Inequalities 84 How these classes worked We ran six combined sections during Fall 2012 and six during Spring 2013. Each section was deliberately/ for demonstrated mastery of redundant topics follows a student from one hybrid mathematics course into the next, so 142 Hybrid Pre-Transfer Mathematics for example, when a student finishes arithmetic, he or she will have completed the first 5 of 9 modules/


Developmental Mathematics Redesign: Placement, Mathematics, Study Skills, and Teamwork March 10, 2013Innovations 2013Dallas, Texas Dr. Tamara Carter and.

for the entire College Prep Math (CPM) sequence. Students in the “other” category might have taken the prerequisite more than a year ago or have demonstrated the prerequisite to an advisor. Success in General Education Mathematics Classes / Success# EnrollmentsSuccess Percentage Contemporary Math51265078.8% CPM IV13716782.0% Other37548377.6% College Algebra3102509960.8% CPM IV828140658.9% Other2274369361.6% Pre-Calculus44278256.5% CPM IV7415149.0% Other36863158.3% Statistics767114567.0% CPM IV8915258.6% /


Undergraduate Mathematics FRESHMAN FASET SUMMER 2010.

Mathematics - Degrees BS Applied Mathematics (80%) “MATH” BS Discrete Mathematics (20%) “DMTH” 8 Mathematics - Degrees BS Applied Mathematics (80%) “MATH” BS Discrete Mathematics (20%) “DMTH” Business Option, Research Option Co-op, Internships Study abroad Second major, minor, certificates 9 Mathematics - Degrees BS Applied Mathematics - MATH – 17 MATH classes – PHYS 3XXX class/ 2010 MATH 4802 Mathematical Problem Solving (Putnam class, S/U) Take classes for letter grade – Do not take classes pass/fail. 19/


MAT 2720 Discrete Mathematics Spring 2012. Dr. Wai W. Lau Dr. Lau Wai.

of people will pass this class? Follow Instructions on using Standard Notations Presentation Formats Do not skip steps Calculators No calculators will be allowed in all exams. Texts Johnsonbaugh, Discrete Mathematics, 7th ed. (ISBN / − a correct answer with no justification will also be worth NO credit. When explanations are called for on the homework, you should respond in complete sentences with proper grammar, spelling, and punctuation. Homework/Th: 7:30am - 9:30pm F: 7:30am - 6:00pm S: 8:00am - 5:00pm


West Point and the Hudson River Valley V. Frederick Rickey Professor of Mathematics United States Military Academy 16 February 2005.

the population to the square mile? By what number must 7/9 be multiplied, that the product may be 14/15? If a single rail, of a railroad, be 9 feet in length, how many rails would be required for a road, whose length is 12 mi. 5 fur. / 631 applied for the class of 1980 (of 6761) 176 were found qualified 148 offered admissions 116 entered in June 1976 Today 15% of the class are women 87 Women Graduated in 1980 COL Kathi Snook Graduated 1980 1987: MA in applied math 1987-1991: “rotator” in mathematics 1997: Ed/


Authentic Tasks in the Intermediate Mathematics Classroom Rhonda mshergott.weebly.com.

/ Thinking/ Communication Recursive Focus Big Ideas Project Work Mathematics Curriculum Strands Project Week Framework Geodesic Dome Framework Example Project Piece Recursive /= Perimeter of a Circle Developing circumference and area relationships for a circle Determining circumference and area of circles What must /class covered 3 strands in the same time frame  Follow up: Grade 9 year the majority of students were preforming at Level 3 or higher  Grade 9 Academic has stayed fairly level (mid 80s)  Grade 9/


Advanced uses of the Mathematics attribute OpendTect Master Class June 15, 2014.

Mathematics attribute OpendTect Master Class June 15, 2014 Mathematics attribute The mathematics attribute allows to combine datasets and to compute new output using mathematical/avg() med() var() Mathematics attribute Constants: –Undef//Mathematics/mathematics/Mathematics attribute - Uses Different types of syntaxes can be used in the Mathematics/Mathematics attribute - Uses Different types of syntaxes can be used in the Mathematics attribute: 3.Recursive : A recursive filter uses past output values x[n-i] for/


What Important Mathematics do Elementary School Teachers “Need to Know”? (and)

mathematics and mathematics education faculty. –collaboration between mathematics faculty and school mathematics teachers. The Math Matters Vision Create a mathematician – mathematics educator partnership with the goal of improving the mathematics education of future elementary school teachers Link field experiences, pedagogy and mathematics instruction Create math classes that are both accessible and useful for/is closest to? a).5,b).6, c).7, d).8, e).9 16) The average (arithmetic mean) of 89, 94, 85, 90, /


David Bressoud Macalester College, St. Paul, MN The Future of High School Mathematics Washington, DC September 26, 2008.

, or a course in quantitative literacy, facility with and understanding of many different aspects of algebra is essential for college-level work. Advanced Mathematics and Science Coursetaking in the Spring High School Senior Classes of 1982, 1992, and 2004. NCES 2007-312 YearPrecollege Precalculus level Calculus and aboveTotal 1980 682,000 952/% 1985 6.0%7.2% 20.4% 1990 7.1%6.9%6.5%20.6% 1995 7.2% 5.4%19.8% 2000 6.4%7.2%5.3%18.9% 2005 6.7%6.8%4.9%18.5% CBMS and NCES data CBMS and College Board data CBMS /


Main Module 1 Fundamentals MODULE 3 BASIC SCIENCES Main Module 1 Fundamentals MODULE 3 BASIC SCIENCES ● Principles of Mathematics ● Physics.

converging of series and calculating them. 8.Study the real functions reales determining their continuity, maxims, minims. 9.Interprete and calculate derivatives of real functions. T.M. APOSTOL, Calculus. Ed Reverté Barcelona. (Parte /.Develop reasoning capacity to resolve problems and exercises, from the theoretical concepts exposed in class and in combination with the provided mathematical tools given to the trainee throughout their educational background. Prerequisites: - Física para/you for your attention


Cover Design with Name, Class, Title ……… +5 _______

practice. . For this reason, I would provide my students with answer sheets and spend a portion of class time to go over questions. Yet, I would never grade them. To encourage students to work on them, I would include homework questions on written tests. Chapter “Equity” Summary Chapter 9 “Equity” addresses multiple issues that deal with the many efforts to make mathematics education available/


1. Some properties of a subclass of analytic functions Presented by Dr. Wasim Ul-Haq Department of Mathematics College of Science in Al-Zulfi, Majmaah.

Wasim Ul-Haq Department of Mathematics College of Science in Al-/for this class will be discussed. Basic Concepts The class A (Goodman, vol.1)[2] The class S of univalent functions[2] 6 The class P (Caratheodory functions) [2] The class 19() 6 Some related classes to the class P (Noor, 2007)[6] 5 Examples 6 Special classes/relation (1915) 11 Functions with bounded turning and related classes 12 Convolution (or Hadamard Product) Lemma1 (Singh and Singh)[9] 13 A class of analytic functions [Noor and Haq, 7] 14/


Worle Mathematics Department Year 9 End of Year Exam Revision Guide Set 1.

the estimated mean mark c) Draw a frequency polygon for this data d) Another set of students take the test their mean score is 32.5 and their range was 22 to 58. What can you say about the two sets of students? b) Work out the median class Worle Mathematics Department 16. Similar Triangles The line, PR, cuts/.372 cm 2 7.a)£140, £210, £350 b)Sarah=£30, Jane=£180, Jill=£90 c)6:1 8.a) 536000 b) 0.0046 c) 2.5 QuestionsAnswers 9.13.75cm 10.X=4 & y = -10 11.a) 0.00843 b) 5.0 X 10 4 c) 5.353 X 10 -6 12. 13. 15.a)/


Learning Environments in Andhra Pradesh, India: Children’s Academic Self-Concept and Mathematics Achievement Research Symposium 21 May, 2015 Magnolia,

in 490 classrooms while taking mathematics classes attended by Young Lives children. Academic Self-Concept Index 6 Statements I am really good at learning maths Doing maths is very difficult for me (-ve) Most children in my class score better than me (-/ to perform poorly and score low marks and was “barely passing in mathematics” Association between the classroom learning environment and children’s academic self-concept 9 Variable OLS-site fixed effect Introducing/summarising lesson 0.030 Group call-and/


The 23 rd Annual WERA/OSPI State Assessment Conference December 2007 A State of Distinction: Educating for Sustainability.

39,419 (-364) 4 67 (-12) 532 (-31) 792 (-40) 2,040 (-66) 5,440 (-211) 4,864 (-157) * Class of 2009 students who were classified as 10 th -graders in spring 2007 ** Numbers in ( ) indicate +/- change from previous Progress Report. / to communicate mathematical content to be learned The 23rd Annual WERA/OSPI State Assessment Conference Slide 33 Format of the Draft: Priorities  Three to four content priorities per grade K-8.  Three to five content priorities by four strands for 3 years of math 9-12. (/


BMI II SS06 – Class 2 “Linear Systems 2” Slide 1 Biomedical Imaging II Class 2 – Mathematical Preliminaries: Signal Transfer and Linear Systems Theory.

2 (x 2 -x 1 ) -1, (t 2 -t 1 ) -1 Unit rectangular (or square) pulse BMI II SS06 – Class 2 “Linear Systems 2” Slide 9 Limiting case of unit pulse x, t 0 As the pulse narrows we also make it higher, such that the area under the pulse is / Transform (IFT) is given by The Fourier transform and its inverse can be interpreted as a mathematical technique for converting time–domain data to frequency–domain data, and vice versa. BMI II SS06 – Class 2 “Linear Systems 2” Slide 32 Detailed FT example 1 t f(t)f(t) t/


1 Strengthening Teaching and Learning of K-12 Mathematics through the Use of High Leverage Instructional Practices Raleigh, North Carolina February 11,

ourselves) a reason to care -Difficult, unlikely, to do alone!!! 17 Ready, Set….. 5 + (-9) 18 Remember How 5 + (-9) “To find the difference of two integers, subtract the absolute value of the two integers and then assign/language-rich mathematics classrooms. 66 67 Accordingly: Some Practical, Research-Affirmed Strategies for Raising Student Achievement Through Better Instruction 68 My message today is simple: We know what works! K-1 Reading Gifted Active classes Questioning classes Thinking classes 69 Our/


EDSE 2700E Middle and Secondary School Mathematics: Teaching Developmentally Dr. Shana Elizabeth Henry 5 th of February 2015.

February 2015 ActivityMinutesTime 1 Reflection of Last Class 10 min7:30 – 7:40 2 Articles, Discussion Questions 20 min7:40 – 8:00 3 Activity w/ Summary 60 min8:00 – 9:00 4 Hybrid Course 10 min9:00 – 9:10 5 Review Info for next week Blackboard, articles, 10 min9:10 – 9:20 EDSE 2700E Middle and Secondary School Mathematics: Teaching Developmentally Dr. Shana Elizabeth Henry 5/


Worle Mathematics Department Year 9 End of Year Exam Revision Guide Sets 2, 3 & 4.

Mathematics Department Year 9 End of Year Exam Revision Guide Sets 2, 3 & 4 Worle Mathematics Department 1. Calculator work Worle Mathematics Department 2. Angles 152° What is the value of angle ACB? x° C B A Worle Mathematics Department 3. Averages Class Marks11121314 Frequency1432 B. Work out the mean mark? 5892341122 A.Work out the median, mode, mean and range. Worle Mathematics/ for the price of one. Does this change your decision? Worle Mathematics Department 10. Area 6 cm 9 cm 10 cm Worle Mathematics /


© 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM Bridging the Gap Grades 6-9.

taking away Model 2: Comparison, e.g. “3 fewer than” Max’s string 9.3 feet Joe’s string If Max has 1.7 less feet of string than Joe and all together they have 9.3 feet of string, how much string does each boy have? 1.7 feet / problem in the sequence. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Functions Fluency – Sprints Your class is ready for a sprint when students are able to make it through a set of rapid white board exchanges in which /


1 An Instrument to Measure Mathematics Attitudes Presenters: Wei-Chih Hsu Professor : Ming-Puu Chen Date : 09/15/2008 Tapia, M. & Marsh, G. E. (2004).

expectations parents and teachers have of the students’ ability and performance in mathematics SubjectsSubjects –545 high school students, 302 boys and 243 girls, enrolled in mathematics high school classes 135 freshmen, 153 sophomores, 168 juniors, 84 seniors, and five 8th/for group analyses. –Of the 49 items, 40 had item-to-total correlations above.50, the highest being.82. –The mean and standard deviation of the total score were 169.74 and 32.06 respectively. –The standard error of measurement was 6.07. 9/


Arash Rastegar Department of Mathematical Sciences Sharif University of Technology.

have been given the best possible education for group thinking. A teacher for this class should be very experienced and knowledgeable in mathematics. Student versus a role model The role of students in such a classroom is doing mathematics while keeping the teacher in mind as /a break and then ask them to decide many ways to explain the arguments and choose the most appropriate one. 9) Notifying important steps in form of lemmas Lemmas are the best tools to simplify explanation of a complicated argument. /


Excursions in Modern Mathematics, 7e: 14.1 - 1Copyright © 2010 Pearson Education, Inc. 14 Descriptive Statistics 14.1Graphical Descriptions of Data 14.2Variables.

14.62007 SAT Math Scores Excursions in Modern Mathematics, 7e: 14.1 - 41Copyright © 2010 Pearson Education, Inc. The process of converting test scores (a numerical variable) into grades (a categorical variable) requires setting up class intervals for the various letter grades. Typically, the professor /up in a narrow band of scores (at least half of the students in the class scored in the range 9–12 points), and the rest of the class was all over the place. In general, this type of “bumpy” distribution of /


Spring 2011 Computer-Based Test Grade 10 Mathematics Reading & Mathematics Retakes TRAINING MATERIALS.

class information in the PreID upload will be able to create these classes in PearsonAccess. Classes will have the appropriate prefix and class name. Class Name (e.g., Clas01) Subject Prefixes:  Mathematics Grade 10 = M10  Mathematics Retake = MRT  Reading Retake = RRT Example: if a class name of Clas01 was provided for Mathematics Retake, then the class/ workstation. 142 Technology Coordinator TestNav Downloading TestNav 6.9 Two options for installing TestNav, local install or file share Installation /


Learning Mathematics In Elementary and Middle Schools, 5e Cathcart, Pothier, Vance, and Bezuk ©2011 Pearson Education, Inc. All Rights Reserved Chapter.

9 Learning Mathematics In Elementary and Middle Schools, 5e Cathcart, Pothier, Vance, and Bezuk ©2011 Pearson Education, Inc. All Rights Reserved 16-16 Five reasons to include statistics and probability in the school mathematics program: 1. They provide meaningful applications of mathematics at all levels. 2. They provide methods for/ and nonnumeric probability activities should help children think about concepts such as: Certain – Class of 30 girls. Teacher picks 1 child. Certain to pick a girl. Impossible /


Based on Rosen, Discrete Mathematics & Its Applications, 5e Prepared by (c)2001-2004 Michael P. Frank Modified by (c) 2004-2005 Haluk Bingöl 1/37 Module.

|A|+|B|. Based on Rosen, Discrete Mathematics & Its Applications, 5e Prepared by (c)2001-2004 Michael P. Frank Modified by (c) 2004-2005 Haluk Bingöl 9/37 Module #18 - Combinatorics Inclusion/Exclusion Example Some hypothetical rules for passwords: Passwords must be 2 characters long./ are 101 possible numeric grades (0%- 100%) rounded to the nearest integer. Also, there are >101 students in this class. Therefore, there must be at least one (rounded) grade that will be shared by at least 2 students at the /


Secondary school mathematics teachers’ views of manipulatives and their use in the classroom Adrian Jones M.A.(Ed.) Candidate.

high- school mathematics classes (e.g.: Howard, Perry & Lindsay, 1996; Suurtamm & Graves, 2007; Weiss, 1994) Why the decline of manipulative use in high-school when: – The use of manipulatives is strongly recommended by current curricula for all students, across/9 Applied50%48% Grade 9 Academic37%30% Grade 10 Applied47%35% Grade 10 Academic30%27% How important is promoting the use of multiple representations of ideas? In this class, how comfortable are you with using concrete materials to teach mathematics/


GPS Mathematics Implementation A Secondary Administrator’s Perspective.

as math credit – For those students entering 9 th grade, the assessment and modules contained in the Georgia Virtual School High School Transition Course may be used to assess and remediate topics contained in the middle grades GPS courses. Students needing extensive remediation on middle grades topics should be placed in a Math Support Class and Mathematics I. Entering with credit for: Placement under GPSPossible/


J. Frank Dobie High School Endorsement Showcase Class of 2020.

1 (120993)Technical Theatre 2 (120994)Technical Theatre 3 (120997)Technical Theatre 4 (120998) Courses listed for all Endorsements may change based on state and district offerings Arts & Humanities Endorsement CAREER PATHWAY ARTS & /YEAR11TH YEAR12TH YEAR Mathematics Geometry (125221)Algebra 2 (125131)Advanced Mathematics Algebra 1 (125121)Geometry (125221)Algebra 2 (125131)Two Advanced Mathematics Science Biology (127104)Chemistry (127201)Physics (127304)Two Advanced Sciences 9 th grade registration/


Alan Edelman Mathematics Computer Science & AI Laboratories June 9, 2014 Jeff Bezanson, Stefan Karpinski, Viral Shah and may collaborators worldwide Try.

Alan Edelman Mathematics Computer Science & AI Laboratories June 9, 2014 Jeff Bezanson, Stefan Karpinski, Viral/pay fare lose buy top up pay fare lose buy pay fare lose buy class-based OO classes are more fundamental than methods 3 Object-oriented programming with multi-methods What can / to objects with the same name that represent different things. -- The Julia Team Abstractions Multi-methods for linear algebra What can I do with/to a thing? find eigenvalues and eigenvectors find singular values find/


Spring 2011 Computer-Based Test Grade 10 Mathematics Reading & Mathematics Retakes TRAINING MATERIALS.

class information in the PreID upload will be able to create these classes in PearsonAccess. Classes will have the appropriate prefix and class name. Class Name (e.g., Clas01) Subject Prefixes:  Mathematics Grade 10 = M10  Mathematics Retake = MRT  Reading Retake = RRT Example: if a class name of Clas01 was provided for Mathematics Retake, then the class/ workstation. 142 Technology Coordinator TestNav Downloading TestNav 6.9 Two options for installing TestNav, local install or file share Installation /


Mathematics. Cartesian Coordinate Geometry and Straight Lines Session.

Mathematics Cartesian Coordinate Geometry and Straight Lines Session Session Objectives 1.Definition of straight line – locus 2.Slope of a line 3.Angle between two lines 4.Intercepts of a line on the axes 5.Slope, intercept form 6.Point, slope form 7.Two-point form 8.Intercepts form 9/ the point dividing AB in 2 : 1, Solution And Q be the point dividing AB in the ratio 1 : 2, then Equation of Class Exercise - 9 Prove that the points (2, –1), (0, 2), (2, 3) and (4, 0) are the vertices of a parallelogram. /


1 Discrete Structures – CNS2300 Text Discrete Mathematics and Its Applications (5 th Edition) Kenneth H. Rosen Chapter 7 Relations.

1 Discrete Structures – CNS2300 Text Discrete Mathematics and Its Applications (5 th Edition) Kenneth H. Rosen Chapter 7 Relations 2 Section 7.5 Equivalence Relations 3 A relation on a set A is called an/ R is denoted by [a] R. When only one relation is under consideration, we will delete the subscript R and write [a] for this equivalence class. 11 [0] = {…-14, -7, 0, 7, 14, 21,…} [1] = {…-13, -6, 1, 8, 15, 22,…} [2] = {…-12, -5, 2, 9, 16, 23,…} [3] = {…-11, -4, 3, 10, 17, 24,…} [4] = {…-10, -3, 4, 11, 18, /


Department of Mathematics and Science Office of Academics and Transformation Ms. Glenda Moton, CSS Millard Lightburn, Ph.D. Supervisor MDCPS Elementary.

5 E’s Lesson Plan  Announcements  3-2-1 Reflection Differentiated Instruction Dr. Millard Lightburn Big Idea 9: Changes in Matter (SC.3 P.9.1) Changes in Matter (Hands on Activity) Big Idea 10: Forms of Energy (SC. 3. / in all grades (K-5)! Department of Mathematics and Science Supplemental Resources Textbook, Notebook (Journal) Common Grade Level Planning Hands-on Materials & Measurement Tools Essentials for a Successful Science Class computers LCD digital projector Internet Access Designated School /


Teacher Leader Endorsement Programme Modeling Exemplary Mathematics Teaching Session 4 Facilitator: Rebeka Matthews Sousa Mathematics Specialist Teacher,

Teaching and Learning 6 Beliefs about Teaching and Learning Mathematics 7 Using the rubric for Teaching Through Problem Solving  Classes observed between Oct. 1 and Nov. 1, 2015.  60 primary mathematics classes were observed  10 different primary schools 8 /feedback in how to enhance the task (one in each section) 9 Analyzing Tasks 10 Good Task…now what? TASK Questioning Student Engagement Communication 11 Videos – Observing Mathematics Share your short video clip of your students being taught through /


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