7 TH GRADE MATH STANDARDS

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "7 TH GRADE MATH STANDARDS"

Transcription

1 ALGEBRA STANDARDS Gal 1: Students will use the language f algebra t explre, describe, represent, and analyze number expressins and relatins 7 TH GRADE MATH STANDARDS 7.M.1.1: (Cmprehensin) Select, use, and cnvert apprpriate unit f measurement fr a situatin including capacity and angle measurement. Indicatr 1: Use prcedures t transfrm algebraic expressins. 7.A.1.1: (Applicatin) Write and evaluate algebraic expressins using the set f whle numbers. 7.A.1.2: (Knwledge) Identify assciative, cmmutative, distributive, and identity prperties invlving algebraic expressins. Indicatr 2: Use a variety f algebraic cncepts and methds t slve equatins and inequalities. 7.A.2.1: (Applicatin) Write and slve ne-step 1 st degree equatins, with ne variable, using the set f integers and inequalities, with ne variable, using the set f whle numbers. Indicatr 3: Interpret and develp mathematical mdels. 7.A.3.1: (Applicatin) Identify and graph rdered pairs n a crdinate plane and inequalities n a number line. Indicatr 4: Analyze and describe the prperties and behavirs f relatins, functins, and their inverses. 7.A.4.1: (Applicatin) Recgnize ne-step patterns using tables, graphs, and mdels and create ne-step algebraic expressins representing the pattern. Gal 2: Students will use the language f gemetry t discver, analyze, and cmmunicate gemetric cncepts, prperties, and relatinships. Indicatr 1: Use deductive and inductive reasning t recgnize and apply prperties f gemetric figures. 7.G.1.1: (Applicatin) Identify, describe, and classify plygns having up t 10 sides. 7.G.1.2: (Knwledge) Identify and describe elements f gemetric figures Indicatr 2: Use prperties f gemetric figures t slve prblems frm a variety f perspectives. 7.G.2.1: (Applicatin) Demnstrate ways that shapes can be transfrmed. Gal 3: Students will apply systems f measurement and use apprpriate measurement tls t describe and analyze the wrld arund them. 7.M.1.2: (Cmprehensin) Given the frmulas, find the circumference, perimeter, and area f circles, parallelgrams, triangles, and trapezids (whle number measurement). Gal 4: Students will develp and use number sense t investigate the characteristics f numbers in a variety f frms and mdes f peratin. Indicatr 1: Use the structural characteristics f the set f real numbers and its varius subsets. Apply the cncept f value, magnitude, and relative magnitude f real numbers. 7.N.1.1: (Cmprehensin) Represent numbers in a variety f frms by describing, rdering, and cmparing integers, decimals, percents, and fractins. 7.N.1.2: (Applicatin) Find and use cmmn multiplies and factrs f whle numbers. Indicatr 2: Apply peratins within the set f real numbers. 7.N.2.1: (Applicatin) Add, subtract, multiply, and divide integers and psitive fractins. Indicatr 3: Develp cnjectures, predictins, r estimatins t slve prblems and verify r justify the results. 7.N.3.1: (Applicatin) Use varius strategies t slve ne- and tw-step prblems invlving psitive fractins and integers. Gal 5: Students will apply statistical methds t analyze data and explre prbability fr making decisins and predictins. Indicatr 1: Use statistical mdels t gather, analyze, and display data t draw cnclusins. 7.S.1.1: (Cmprehensin) Find the mean, median, mde, and range f a set f data. 7.S.1.2: (Applicatin) Display data, using frequency tables, line plts, stem-and-leaf plts and make predictins frm data displayed in a graph. Indicatr 2: Apply the law f prbability t predict utcmes and slve prblems. 7. S.2.1: (Cmprehensin) Given a sample space, find the prbability f a specific utcme. Indicatr 1: Apply measurement cncepts in practical applicatins.

2 8 th GRADE MATH STANDARDS ALGEBRA STANDARDS Gal 1: Students will use the language f algebra t explre, describe, represent, and analyze number expressins and relatins Indicatr 1: Use prcedures t transfrm algebraic expressins. 8. A.1.1. (Applicatin) Use prperties t expand, cmbine, and simplify 1 st degree algebraic expressins with the set f integers. Indicatr 2: Use a variety f algebraic cncepts and methds t slve equatins and inequalities. 8. A.2.1. (Applicatin) Write and slve tw-step 1 st degree equatins, with ne variable, and ne-step inequalities, with ne variable, using the set f integers. Indicatr 3: Interpret and develp mathematical mdels. 8. A.3.1. (Cmprehensin) Describe and determine linear relatinships. Indicatr 4: Analyze and describe the prperties and behavirs f relatins, functins, and their inverses. 8. A.4.1. (Synthesis) Create rules t explain the relatinship between numbers when a change in the first variable affects the secnd variable. 8. A.4.2. (Analysis) Describe and represent relatins using tables, graphs, and rules. Gal 2: Students will use the language f gemetry t discver, analyze, and cmmunicate gemetric cncepts, prperties, and relatinships. Indicatr 1: Use deductive and inductive reasning t recgnize and apply prperties f gemetric figures. 8. G.1.1. Describe and classify prisms, pyramids, cylinders, and cnes. 8. G.1.2. (Applicatin) Given any tw sides f an illustrated right triangle, use the Pythagrean Therem t find the third side. Indicatr 2: Use prperties f gemetric figures t slve prblems frm a variety f perspectives. 8. G.2.1. (Applicatin) Write and slve prprtins that express the relatinships between crrespnding parts f similar quadrilaterals and triangles. Gal 3: Students will apply systems f measurement and use apprpriate measurement tls t describe and analyze the wrld arund them. Indicatr 1: Apply measurement cncepts in practical applicatins. 8. M.1.1. (Applicatin) Apply prprtinal reasning t slve measurement prblems with ratinal number measurements. 8. M.1.2. (Cmprehensin) Find area, vlume, and surface area with whle number measurements. Gal 4: Students will develp and use number sense t investigate the characteristics f numbers in a variety f frms and mdes f peratin. Indicatr 1: Use the structural characteristics f the set f real numbers and its varius subsets. Apply the cncept f value, magnitude, and relative magnitude f real numbers. 8.N.1.1. (Cmprehensin) Represent numbers in a variety f frms and identify the subsets f ratinal numbers. Indicatr 2: Apply peratins within the set f real numbers. 8. N.2.1. (Applicatin) Read, write, and cmpute within any subset f ratinal numbers. Indicatr 3: Develp cnjectures, predictins, r estimatins t slve prblems and verify r justify the results. 8. N.3.1. (Applicatin) Use varius strategies t slve multi-step prblems invlving ratinal numbers. Gal 5: Students will apply statistical methds t analyze data and explre prbability fr making decisins and predictins. Indicatr 1: Use statistical mdels t gather, analyze, and display data t draw cnclusins. 8. S.1.1. (Cmprehensin) Find the mean, median, mde, and range f a data set frm a stem and-leaf plt and a line plt. 8. S.1.2. (Applicatin) Use a variety f visual representatins t display data t make cmparisns and predictins. Indicatr 2: Apply the law f prbability t predict utcmes and slve prblems. 8. S.2.1. (Cmprehensin) Find the sample space and cmpute prbability fr tw simultaneus independent events.

3 HIGH SCHOOL ALGEBRA STANDARDS Gal 1: Students will use the language f algebra t explre, describe, represent, and analyze number expressins and relatins Indicatr 1: Use prcedures t transfrm algebraic expressins. Cre HS Standards 9-12.A.1.1. (Cmprehensin) Write equivalent frms f algebraic expressins using prperties f the set f real numbers. Indicatr 4: Analyze and describe the prperties and behavirs f relatins, functins, and their inverses. Cre HS Standards 9-12.A.4.1. (Applicatin) Use graphs, tables, and equatins t represent linear functins A.4.1A. (Analysis) Determine the dmain, range, and intercepts f a functin A.1.1A. (Applicatin) Write equivalent frms f ratinal algebraic expressins using prperties f real numbers A.1.2A. (Applicatin) Apply prperties and definitins f trignmetric, expnential, and lgarithmic expressins. Indicatr 2: Use a variety f algebraic cncepts and methds t slve equatins and inequalities. Cre HS Standards 9-12.A.2.1. (Cmprehensin) Use algebraic prperties t transfrm multi-step, single variable, and first-degree equatins A.2.2. (Applicatin) Use algebraic prperties t transfrm multi-step, single variable, and first-degree inequalities and represent slutins using a number line A.2.1A. (Analysis) Determine slutins f quadratic equatins A.4.2A. (Analysis) Describe the behavir f a plynmial, given the leading cefficient, rts, and degree A.4.3A. (Analysis) Apply transfrmatins t graphs and describe the results A.4.4A. (Applicatin) Apply prperties and definitins f trignmetric, expnential, and lgarithmic expressins A.4.5A. (Analysis) Describe characteristics f nnlinear functins and relatins A.4.6A. (Applicatin) Graph slutins t linear inequalities A.2.2A. (Applicatin) Determine the slutin f systems f equatins and systems f inequalities A.2.3A. (Applicatin) Determine slutins t abslute value statements. Indicatr 3: Interpret and develp mathematical mdels. Cre HS Standards 9-12.A.3.1. (Applicatin) Create linear mdels t represent prblem situatins A.3.2. (Cmprehensin) Distinguish between linear and nnlinear mdels A.3.1A. (Analysis) Distinguish between linear, quadratic, inverse variatins, and expnential mdels A.3.2A. (Synthesis) Create frmulas t mdel relatinships that are algebraic, gemetric, trignmetric, and expnential A.3.3A. (Analysis) Use sequences and series t mdel relatinships.

4 HIGH SCHOOL GEOMETRY AND Gal 2: Students will use the language f gemetry t discver, analyze, and cmmunicate gemetric cncepts, prperties, and relatinships. Indicatr 1: Use deductive and inductive reasning t recgnize and apply prperties f gemetric figures. Cre HS Standards 9-12.G.1.1. (Applicatin) Apply the prperties f triangles and quadrilaterals t find unknwn parts G.1.2. (Applicatin) Identify and apply relatinships amng triangles G.1.1A. (Evaluatin) Justify prperties f gemetric figures. Gal 3: Students will apply systems f measurement and use apprpriate measurement tls t describe and analyze the wrld arund them. Indicatr 1: Apply measurement cncepts in practical applicatins. Cre HS Standards 9-12.M.1.1. (Cmprehensin) Chse apprpriate unit label, scale, and precisin M.1.2. (Cmprehensin) Use suitable units when describing rate f change M.1.3. (Applicatin) Use frmulas t find perimeter, circumference, and area t slve prblems invlving cmmn gemetric figures G.1.2A. (Applicatin) Determine the values f the sine, csine, and tangent ratis f right triangles G.1.3A. (Applicatin) Apply prperties assciated with circles G.1.4A. (Analysis) Use frmulas fr surface area and vlume t slve prblems invlving threedimensinal figures M.1.1A. (Applicatin) Use dimensinal analysis t check answers and determine units f a prblem slutin M.1.2A. (Analysis) Use indirect measurement in prblem situatins that defy direct measurement. Indicatr 2: Use prperties f gemetric figures t slve prblems frm a variety f perspectives. Cre HS Standards 9-12.G.2.1. (Analysis) Recgnize the relatinship between a three-dimensinal figure and its twdimensinal representatin G.2.2. (Applicatin) Reflect acrss vertical r hrizntal lines, and translate tw-dimensinal figures G.2.3. (Applicatin) Use prprtins t slve prblems G.2.1A. (Synthesis) Use Cartesian crdinates t verify gemetric prperties.

5 HIGH SCHOOL NUMBER SENSE AND Gal 4: Students will develp and use number sense t investigate the characteristics f numbers in a variety f frms and mdes f peratin. Indicatr 1: Use the structural characteristics f the set f real numbers and its varius subsets. Apply the cncept f value, magnitude, and relative magnitude f real numbers. Cre HS Standards 9-12.N.1.1. (Cmprehensin) Identify multiple representatins f a real number N.1.2. (Cmprehensin) Apply the cncept f place value, magnitude, and relative magnitude f real numbers N.1.1A. (Cmprehensin) Describe the relatinship f the real number system t the cmplex number system N.1.2A. (Applicatin) Apply prperties and axims f the real number system t varius subsets, e.g., axims f rder, clsure. Indicatr 2: Apply peratins within the set f real numbers. Cre HS Standards 9-12.N.2.1. (Cmprehensin) Add, subtract, multiply, and divide real numbers including integral expnents N.2.1A. (Applicatin) Add, subtract, multiply, and divide real numbers including ratinal expnents. Indicatr 3: Develp cnjectures, predictins, r estimatins t slve prblems and verify r justify the results. Cre HS Standards 9-12.N.3.1. (Analysis) Use estimatin strategies in prblem situatins t predict results and t check the reasnableness f results. Gal 5: Students will apply statistical methds t analyze data and explre prbability fr making decisins and predictins. Indicatr 1: Use statistical mdels t gather, analyze, and display data t draw cnclusins. Cre HS Standards 9-12.S.1.1. (Analysis) Draw cnclusins frm a set f data S.1.2. (Cmprehensin) Cmpare multiple nevariable data sets, using range, interquartile range, mean, mde, and median S.1.3. (Analysis) Represent a set f data in a variety f graphical frms and draw cnclusins S.1.1A. (Evaluatin) Analyze and evaluate the design f surveys and experiments S.1.2A. (Evaluatin) Analyze and evaluate graphical displays f data S.1.3A. (Analysis) Cmpare multiple ne-variable data sets, using standard deviatin and variance S.1.4A. (Applicatin) Describe the nrmal curve and use it t make predictins S.1. 5A. (Applicatin) Use scatter plts, best-fit lines, and crrelatin cefficients t mdel data and supprt cnclusins. Indicatr 2: Apply the law f prbability t predict utcmes and slve prblems. Cre HS Standards 9-12.S.2.1. (Knwledge) Distinguish between experimental and theretical prbability S.2.2. (Cmprehensin) Predict utcmes f simple events using given theretical prbabilities S.2.1A. (Applicatin) Use prbabilities t slve prblems S.2.2A. (Applicatin) Determine prbability f cmpund, cmplementary, independent, and mutually exclusive events S.2.3A. (Analysis) Generate data and use the data t estimate empirical prbabilities.

MATHEMATICS SYLLABUS SECONDARY 5th YEAR

MATHEMATICS SYLLABUS SECONDARY 5th YEAR Eurpean Schls Office f the Secretary-General Pedaggical Develpment Unit Ref. : 011-01-D-8-en- Orig. : EN MATHEMATICS SYLLABUS SECONDARY 5th YEAR 6 perid/week curse APPROVED BY THE JOINT TEACHING COMMITTEE

More information

Competency Statements for Wm. E. Hay Mathematics for grades 7 through 12:

Competency Statements for Wm. E. Hay Mathematics for grades 7 through 12: Cmpetency Statements fr Wm. E. Hay Mathematics fr grades 7 thrugh 12: Upn cmpletin f grade 12 a student will have develped a cmbinatin f sme/all f the fllwing cmpetencies depending upn the stream f math

More information

Building to Transformations on Coordinate Axis Grade 5: Geometry Graph points on the coordinate plane to solve real-world and mathematical problems.

Building to Transformations on Coordinate Axis Grade 5: Geometry Graph points on the coordinate plane to solve real-world and mathematical problems. Building t Transfrmatins n Crdinate Axis Grade 5: Gemetry Graph pints n the crdinate plane t slve real-wrld and mathematical prblems. 5.G.1. Use a pair f perpendicular number lines, called axes, t define

More information

District Adopted Materials: Pre-Calculus; Graphing and Data Analysis (Prentice Hall) 1998

District Adopted Materials: Pre-Calculus; Graphing and Data Analysis (Prentice Hall) 1998 Grade: High chl Curse: Trignmetry and Pre-Calculus District Adpted Materials: Pre-Calculus; Graphing and Data (Prentice Hall) 1998 tandard 1: Number and Cmputatin The student uses numerical and cmputatinal

More information

A Correlation of. to the. South Carolina Academic Standards for Mathematics Precalculus

A Correlation of. to the. South Carolina Academic Standards for Mathematics Precalculus A Crrelatin f Suth Carlina Academic Standards fr Mathematics Precalculus INTRODUCTION This dcument demnstrates hw Precalculus (Blitzer), 4 th Editin 010, meets the indicatrs f the. Crrelatin page references

More information

Emphases in Common Core Standards for Mathematical Content Kindergarten High School

Emphases in Common Core Standards for Mathematical Content Kindergarten High School Emphases in Cmmn Cre Standards fr Mathematical Cntent Kindergarten High Schl Cntent Emphases by Cluster March 12, 2012 Describes cntent emphases in the standards at the cluster level fr each grade. These

More information

5 th grade Common Core Standards

5 th grade Common Core Standards 5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin

More information

Math Foundations 20 Work Plan

Math Foundations 20 Work Plan Math Fundatins 20 Wrk Plan Units / Tpics 20.8 Demnstrate understanding f systems f linear inequalities in tw variables. Time Frame December 1-3 weeks 6-10 Majr Learning Indicatrs Identify situatins relevant

More information

Math Foundations 10 Work Plan

Math Foundations 10 Work Plan Math Fundatins 10 Wrk Plan Units / Tpics 10.1 Demnstrate understanding f factrs f whle numbers by: Prime factrs Greatest Cmmn Factrs (GCF) Least Cmmn Multiple (LCM) Principal square rt Cube rt Time Frame

More information

Function notation & composite functions Factoring Dividing polynomials Remainder theorem & factor property

Function notation & composite functions Factoring Dividing polynomials Remainder theorem & factor property Functin ntatin & cmpsite functins Factring Dividing plynmials Remainder therem & factr prperty Can d s by gruping r by: Always lk fr a cmmn factr first 2 numbers that ADD t give yu middle term and MULTIPLY

More information

District Adopted Materials: Algebra I (Glencoe/McGraw-Hill)

District Adopted Materials: Algebra I (Glencoe/McGraw-Hill) Grade: High Schl Curse: Algebra District Adpted aterials: Algebra (Glence/cGraw-Hill) Stard : Number Cmputatin The student uses numerical cmputatinal cncepts prcedures in a variety f situatins. Benchmark

More information

The standards are taught in the following sequence.

The standards are taught in the following sequence. B L U E V A L L E Y D I S T R I C T C U R R I C U L U M MATHEMATICS Third Grade In grade 3, instructinal time shuld fcus n fur critical areas: (1) develping understanding f multiplicatin and divisin and

More information

MODULE FOUR. This module addresses functions. SC Academic Elementary Algebra Standards:

MODULE FOUR. This module addresses functions. SC Academic Elementary Algebra Standards: MODULE FOUR This mdule addresses functins SC Academic Standards: EA-3.1 Classify a relatinship as being either a functin r nt a functin when given data as a table, set f rdered pairs, r graph. EA-3.2 Use

More information

CPM COLLEGE PREPARATORY MATH (6 th through 12 th Grade)

CPM COLLEGE PREPARATORY MATH (6 th through 12 th Grade) CPM COLLEGE PREPARATORY MATH (6 th thrugh 12 th Grade) The Twin Valley Schl District uses Cllege Preparatry Mathematics (CPM) in the middle grades (6th, 7 th and 8 th ) and in ur secndary math prgram (9th

More information

Area of Learning: Mathematics Pre-calculus 12

Area of Learning: Mathematics Pre-calculus 12 Area f Learning: Mathematics Pre-calculus 12 Big Ideas Elabratins Using inverses is the fundatin f slving equatins and can be extended t relatinships between functins. Understanding the characteristics

More information

Loudoun County Public Schools

Loudoun County Public Schools Ludun Cunty Public Schls Department f Instructin Curriculum and Instructin ELL Mathematics Curriculum Guide Office f English Language Learners (ELL) August 2011 Teresa Vignarli, ELL Supervisr Beth Slagle,

More information

Area of Learning: Mathematics Foundations of Mathematics and Pre-calculus 10

Area of Learning: Mathematics Foundations of Mathematics and Pre-calculus 10 Area f Learning: Mathematics Fundatins f Mathematics and Pre-calculus 10 Big Ideas Elabratins Algebra allws us t generalize relatinships thrugh abstract thinking. generalize: The meanings f, and cnnectins

More information

Marietta City Schools Pacing Guide. CCS Benchmarks Skills/Activities Resources Assessment

Marietta City Schools Pacing Guide. CCS Benchmarks Skills/Activities Resources Assessment Marietta City Schls Pacing Guide Subject: Algebra 1 Grade Level: 8 (high schl credit) Time Frame: Year Lng Mnth / Week CCS Benchmarks Skills/Activities Resurces Assessment First nine weeks Chapter 1 Expressins,,

More information

Area of Learning: Mathematics Pre-calculus 11. Algebra allows us to generalize relationships through abstract thinking.

Area of Learning: Mathematics Pre-calculus 11. Algebra allows us to generalize relationships through abstract thinking. Area f Learning: Mathematics Pre-calculus 11 Big Ideas Elabratins Algebra allws us t generalize relatinships thrugh abstract thinking. generalize: The meanings f, and cnnectins between, peratins extend

More information

Mathematics Methods Units 1 and 2

Mathematics Methods Units 1 and 2 Mathematics Methds Units 1 and 2 Mathematics Methds is an ATAR curse which fcuses n the use f calculus and statistical analysis. The study f calculus prvides a basis fr understanding rates f change in

More information

ACADEMIC STANDARDS AND BENCHMARKS MATHEMATICS

ACADEMIC STANDARDS AND BENCHMARKS MATHEMATICS Table f Cntents Mathematics... 4 By the end f Grade 3... 4 By the end f Grade 5...7 By the end f Grade 8... 10 By the end f Grade 12... 14 Cmmunicatin... 16 Grade 1... 16 Grade 2... 17 Grade 3... 17 Grade

More information

Cologne Academy. Mathematics Department Algebra 1B. (Aligned Text: Prentice Hall/Pearson Algebra 1) Core Knowledge Curriculum 78% Aligned

Cologne Academy. Mathematics Department Algebra 1B. (Aligned Text: Prentice Hall/Pearson Algebra 1) Core Knowledge Curriculum 78% Aligned Clgne Academy Mathematics Department Algebra 1B (Aligned Text: Prentice Hall/Pearsn Algebra 1) Cre Knwledge Curriculum 78% Aligned Adpted: 08/2014 Bard Apprved: 08/28/2014 Updated: 08/12/2017 Page 0 Table

More information

Transfer Goals Students will be able to independently use their learning to Make sense of never-before-seen problems and persevere in solving them.

Transfer Goals Students will be able to independently use their learning to Make sense of never-before-seen problems and persevere in solving them. Unit 5 Area, the Pythagrean Therem, and Vlume Unit Gals Stage 1 Gemetry ACC Number f : 34 2/27/17 4/13/17 Unit Descriptin: Deriving new frmulas frm previusly discvered nes, the students will leave Unit

More information

Unit 1 Functions Overview: Power, Polynomial, Rational, Exponential, and Logarithmic

Unit 1 Functions Overview: Power, Polynomial, Rational, Exponential, and Logarithmic Number f : 39 9/6/16 10/28/16 Unit Gals Stage 1 Unit Descriptin: In this unit, students extend their knwledge f functins and mdels. Students analyze functins and their prperties including dmain and range,

More information

EASTERN ARIZONA COLLEGE Precalculus Trigonometry

EASTERN ARIZONA COLLEGE Precalculus Trigonometry EASTERN ARIZONA COLLEGE Precalculus Trignmetry Curse Design 2017-2018 Curse Infrmatin Divisin Mathematics Curse Number MAT 181 Title Precalculus Trignmetry Credits 3 Develped by Gary Rth Lecture/Lab Rati

More information

City of Angels School Independent Study Los Angeles Unified School District

City of Angels School Independent Study Los Angeles Unified School District City f Angels Schl Independent Study Ls Angeles Unified Schl District INSTRUCTIONAL GUIDE Algebra 1B Curse ID #310302 (CCSS Versin- 06/15) This curse is the secnd semester f Algebra 1, fulfills ne half

More information

MODULE ONE. This module addresses the foundational concepts and skills that support all of the Elementary Algebra academic standards.

MODULE ONE. This module addresses the foundational concepts and skills that support all of the Elementary Algebra academic standards. Mdule Fundatinal Tpics MODULE ONE This mdule addresses the fundatinal cncepts and skills that supprt all f the Elementary Algebra academic standards. SC Academic Elementary Algebra Indicatrs included in

More information

SEC Syllabus (2019): Mathematics SEC SYLLABUS (2019) MATHEMATICS SEC 23 SYLLABUS

SEC Syllabus (2019): Mathematics SEC SYLLABUS (2019) MATHEMATICS SEC 23 SYLLABUS SEC SYLLABUS (2019) MATHEMATICS SEC 23 SYLLABUS 1 Mathematics SEC 23 Syllabus Available in September (Paper I and Paper IIB nly) Paper I: Sectin A (20 minutes) & Sectin B (1 hr 40 minutes) + Paper II (2

More information

Algebra 1 /Algebra 1 Honors Curriculum Map

Algebra 1 /Algebra 1 Honors Curriculum Map 2014-2015 Algebra 1 /Algebra 1 Hnrs Curriculum Map Mathematics Flrida Standards Vlusia Cunty Curriculum Maps are revised annually and updated thrughut the year. The learning gals are a wrk in prgress and

More information

Unit 2 Trigonometric Functions, Identities, and Equations

Unit 2 Trigonometric Functions, Identities, and Equations Number f : 43 10/30/17 1/19/18 Unit Gals Stage 1 Unit Descriptin: In this unit, students extend their knwledge f angles t rtatinal angles in the plane and radian measure. The six trignmetric functins are

More information

Prentice Hall Algebra Correlated to: South Dakota Mathematics Standards, (Grades 9-12)

Prentice Hall Algebra Correlated to: South Dakota Mathematics Standards, (Grades 9-12) High School Algebra Indicator 1: Use procedures to transform algebraic expressions. 9-12.A.1.1. (Comprehension)Write equivalent forms of algebraic expressions using properties of the set of real numbers.

More information

ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION. Instructions: If asked to label the axes please use real world (contextual) labels

ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION. Instructions: If asked to label the axes please use real world (contextual) labels ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION Instructins: If asked t label the axes please use real wrld (cntextual) labels Multiple Chice Answers: 0 questins x 1.5 = 30 Pints ttal Questin Answer Number 1

More information

Algebra II ESL. Students will be skilled at. Students will understand that:

Algebra II ESL. Students will be skilled at. Students will understand that: UNIT 2 FUNCTIONS IN THIS MODULE, STUDENTS SYNTHESIZE AND GENERALIZE WHAT THEY HAVE LEARNED ABOUT A VARIETY OF FUNCTION FAMILIES. Established Gals: N-RN.A.1 Explain hw the definitin f the meaning f ratinal

More information

8 th Grade Math: Pre-Algebra

8 th Grade Math: Pre-Algebra Hardin Cunty Middle Schl (2013-2014) 1 8 th Grade Math: Pre-Algebra Curse Descriptin The purpse f this curse is t enhance student understanding, participatin, and real-life applicatin f middle-schl mathematics

More information

Triangle Congruency. Overview. Geometry Mathematics, Quarter 2, Unit 2.1. Number of Instructional Days: 15 (1 day = 45 minutes)

Triangle Congruency. Overview. Geometry Mathematics, Quarter 2, Unit 2.1. Number of Instructional Days: 15 (1 day = 45 minutes) Gemetry Mathematics, Quarter 2, Unit 2.1 Triangle Cngruency Overview Number f Instructinal Days: 15 (1 day = 45 minutes) Cntent t Be Learned Apply and describe the effects f rigid mtins (translatin, reflectin,

More information

[COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t o m a k e s u r e y o u a r e r e a d y )

[COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t o m a k e s u r e y o u a r e r e a d y ) (Abut the final) [COLLEGE ALGEBRA EXAM I REVIEW TOPICS] ( u s e t h i s t m a k e s u r e y u a r e r e a d y ) The department writes the final exam s I dn't really knw what's n it and I can't very well

More information

Sample questions to support inquiry with students:

Sample questions to support inquiry with students: Area f Learning: Mathematics Calculus 12 Big Ideas Elabratins The cncept f a limit is fundatinal t calculus. cncept f a limit: Differentiatin and integratin are defined using limits. Sample questins t

More information

Curriculum Development Overview Unit Planning for 8 th Grade Mathematics MA10-GR.8-S.1-GLE.1 MA10-GR.8-S.4-GLE.2

Curriculum Development Overview Unit Planning for 8 th Grade Mathematics MA10-GR.8-S.1-GLE.1 MA10-GR.8-S.4-GLE.2 Unit Title It s All Greek t Me Length f Unit 5 weeks Fcusing Lens(es) Cnnectins Standards and Grade Level Expectatins Addressed in this Unit MA10-GR.8-S.1-GLE.1 MA10-GR.8-S.4-GLE.2 Inquiry Questins (Engaging-

More information

Calculus Placement Review. x x. =. Find each of the following. 9 = 4 ( )

Calculus Placement Review. x x. =. Find each of the following. 9 = 4 ( ) Calculus Placement Review I. Finding dmain, intercepts, and asympttes f ratinal functins 9 Eample Cnsider the functin f ( ). Find each f the fllwing. (a) What is the dmain f f ( )? Write yur answer in

More information

Unit 2 Expressions, Equations, and Inequalities Math 7

Unit 2 Expressions, Equations, and Inequalities Math 7 Unit 2 Expressins, Equatins, and Inequalities Math 7 Number f Days: 24 10/23/17 12/1/17 Unit Gals Stage 1 Unit Descriptin: Students cnslidate and expand previus wrk with generating equivalent expressins

More information

Unit 1 Equations and Inequalities

Unit 1 Equations and Inequalities Unit 1 Equatins and Inequalities Number f Days: 29 9/5/17 10/13/17 Unit Gals Stage 1 Unit Descriptin: Students extend their understanding f slving linear equatins in ne variable t slving equatins with

More information

Y10 Foundation SOW Term 1

Y10 Foundation SOW Term 1 Y10 Fundatin SOW Term 1 Algebra Fcus Students shuld be cmpletely familiar with all the rules f algebra Plt straight line graphs f functins by setting up a table f x and y pints as crdinate pairs (by use

More information

NUMBERS, MATHEMATICS AND EQUATIONS

NUMBERS, MATHEMATICS AND EQUATIONS AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t

More information

Unit 6 Circles, Circumference, Area and Volume

Unit 6 Circles, Circumference, Area and Volume Unit 6 Circles, Circumference, Area and Vlume Number f Days: 38 4/10/17 6/9/17 Unit Gals Stage 1 Unit Descriptin: In Unit 6 students prve and apply basic circle therems such as: a tangent line is perpendicular

More information

Course Syllabus MATH 205: Geometry for the Middle Level Teacher

Course Syllabus MATH 205: Geometry for the Middle Level Teacher Curse Syllabus MATH 205: Gemetry fr the Middle Level Teacher Catalg Descriptin with Prerequisites This curse is designed t equip middle level (4-8) mathematics specialists with sufficient knwledge and

More information

District Adopted Materials: Every Day Math (2007)

District Adopted Materials: Every Day Math (2007) Grade: Furth Curse: athematics District Adpted aterials: Every Day ath (007) Standard : Number and Cmputatin The student uses numerical and cmputatinal cncepts and prcedures in a variety f situatins. Benchmark

More information

YEAR 6 (PART A) Textbook 6A schema

YEAR 6 (PART A) Textbook 6A schema YEAR 6 (PART A) Textbk 6A schema Chapter 1 Numbers t 10 Millin Lessn 1 Reading and Writing Numbers t 10 Millin T create and identify numbers t 10 000 000; t write in numerals and wrds numbers t 10 000

More information

Monroe Township School District Monroe Township, New Jersey

Monroe Township School District Monroe Township, New Jersey Mnre Twnship Schl District Mnre Twnship, New Jersey Preparing fr 6 th Grade Middle Schl *PREPARATION PACKET* Summer 2014 ***SOLVE THESE PROBLEMS WITHOUT THE USE OF A CALCULATOR AND SHOW ALL WORK*** Yu

More information

LHS Mathematics Department Honors Pre-Calculus Final Exam 2002 Answers

LHS Mathematics Department Honors Pre-Calculus Final Exam 2002 Answers LHS Mathematics Department Hnrs Pre-alculus Final Eam nswers Part Shrt Prblems The table at the right gives the ppulatin f Massachusetts ver the past several decades Using an epnential mdel, predict the

More information

EOG REVIEW NOTES Number Systems

EOG REVIEW NOTES Number Systems EOG REVIEW NOTES Number Systems Adding Fractins ) Find a cmmn denminatr. (LCM) 2) Cnvert the fractins. (Equivalent Denminatrs) ) Add the numeratrs and keep the denminatr. ) Simplify. Eamples f Adding Fractins

More information

Code: MATH 151 Title: INTERMEDIATE ALGEBRA

Code: MATH 151 Title: INTERMEDIATE ALGEBRA Cde: MATH 151 Title: INTERMEDIATE ALGEBRA Divisin: MATHEMATICS Department: MATHEMATICS Curse Descriptin: This curse prepares students fr curses that require algebraic skills beynd thse taught in Elementary

More information

STUDENT/PARENT INFORMATION LETTER SUMMER MATHEMATICS PREPARATION PACKETS Summer 2014

STUDENT/PARENT INFORMATION LETTER SUMMER MATHEMATICS PREPARATION PACKETS Summer 2014 MONROE TOWNSHIP PUBLIC SCHOOLS Mnre Twnship Middle Schl 1629 Perrineville Rad Mnre Twnship, NJ 08831 Telephne (732) 521-6042 Fax (732) 521-2846 E-mail www.mnre.k12.nj.us Chari R. Chanley, Ed.S. James F.

More information

Algebra2/Trig: Trig Unit 2 Packet

Algebra2/Trig: Trig Unit 2 Packet Algebra2/Trig: Trig Unit 2 Packet In this unit, students will be able t: Learn and apply c-functin relatinships between trig functins Learn and apply the sum and difference identities Learn and apply the

More information

Syllabus for Grade 7. More details on each of the topics is covered in the following pages.

Syllabus for Grade 7. More details on each of the topics is covered in the following pages. Syllabus for Grade 7 Chapter 1 Algebraic Reasoning Chapter 2 Integers and rational numbers Chapter 3 Number Theory Chapter 4 Rational number Chapter 5 Patterns and functions Chapter 6 Proportional Relationships

More information

Middle School Mathematics Parent Guide

Middle School Mathematics Parent Guide Middle Schl Mathematics Parent Guide Curriculum Aligned t NJ CCSS: August 2012 Revised July 2015 District Missin The Suth Brunswick Schl District will prepare students t be lifelng learners, critical thinkers,

More information

MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b

MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b . REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but

More information

Math 302 Learning Objectives

Math 302 Learning Objectives Multivariable Calculus (Part I) 13.1 Vectrs in Three-Dimensinal Space Math 302 Learning Objectives Plt pints in three-dimensinal space. Find the distance between tw pints in three-dimensinal space. Write

More information

M O R R I S S C H O O L D I S T R I CT M O R R I S T O W N, N J Dr. Thomas J. Ficarra

M O R R I S S C H O O L D I S T R I CT M O R R I S T O W N, N J Dr. Thomas J. Ficarra M O R R I S S C H O O L D I S T R I CT M O R R I S T O W N, N J 2011 ALGEBRA I SUPERINTENDENT Dr. Thmas J. Ficarra 1 Bard f Educatin: 2010 2011 Lisa Pllak, President Marie Frnar, Vice President Nancy Bangila,

More information

District Adopted Materials: Every Day Math (2007)

District Adopted Materials: Every Day Math (2007) Grade: Fifth Curse: athematics District Adpted aterials: Every Day ath (2007) Standard 1: Number and Cmputatin The student uses numerical and cmputatinal cncepts and prcedures in a variety f situatins.

More information

ALGEBRA I CURRICULUM

ALGEBRA I CURRICULUM MIDDLETOWN PUBLIC SCHOOLS ALGEBRA I CURRICULUM Grades 8-10 January 2012 2/20/2012 Middletwn Public Schls 1 T he Middletwn Public Schls Mathematics Curriculum fr grades K-12 was cmpleted in January 2012

More information

GHS Course Syllabus. Department: Math Room #: 112 Periods Taught: 3, 4, 6, 7

GHS Course Syllabus. Department: Math Room #: 112 Periods Taught: 3, 4, 6, 7 GHS Curse Syllabus General Curse Infrmatin Curse Title: Accelerated Algebra 2 Year: 2015-2016 Department: Math Rm #: 112 Perids Taught: 3, 4, 6, 7 Resurces: Online editin f Algebra 2: Kanld, Burger, Dixn,

More information

Kansas City Area Teachers of Mathematics 2011 KCATM Math Competition GEOMETRY GRADES 7-8

Kansas City Area Teachers of Mathematics 2011 KCATM Math Competition GEOMETRY GRADES 7-8 Kansas City Area Teachers f Mathematics 2011 KCATM Math Cmpetitin GEOMETRY GRADES 7-8 INSTRUCTIONS D nt pen this bklet until instructed t d s. Time limit: 20 minutes Yu may use calculatrs. Mark yur answer

More information

Algebra2/Trig Chapter 12 Packet

Algebra2/Trig Chapter 12 Packet Algebra/Trig Chapter 1 Packet In this unit, students will be able t: Learn and apply the sum and difference identities Learn and apply the duble-angle identities Learn and apply the ½-angle identities

More information

LEARNING : At the end of the lesson, students should be able to: OUTCOMES a) state trigonometric ratios of sin,cos, tan, cosec, sec and cot

LEARNING : At the end of the lesson, students should be able to: OUTCOMES a) state trigonometric ratios of sin,cos, tan, cosec, sec and cot Mathematics DM 05 Tpic : Trignmetric Functins LECTURE OF 5 TOPIC :.0 TRIGONOMETRIC FUNCTIONS SUBTOPIC :. Trignmetric Ratis and Identities LEARNING : At the end f the lessn, students shuld be able t: OUTCOMES

More information

Rangely RE 4 Curriculum Development 5 th Grade Mathematics

Rangely RE 4 Curriculum Development 5 th Grade Mathematics Unit Title Dctr We Still Need t Operate... Length f Unit 12 weeks Fcusing Lens(es) Inquiry Questins (Engaging Debatable): Structure Systems Standards and Grade Level Expectatins Addressed in this Unit

More information

6 th Grade Math Connects

6 th Grade Math Connects 6 th Grade Math Connects Chapter 1: Multiply and Divide Decimals Multi-Part Lesson 1: Multiply Decimals A: Estimate Products B: Explore Multiply Decimals by Whole Numbers C: Multiply Decimals by Whole

More information

Department: MATHEMATICS

Department: MATHEMATICS Cde: MATH 022 Title: ALGEBRA SKILLS Institute: STEM Department: MATHEMATICS Curse Descriptin: This curse prvides students wh have cmpleted MATH 021 with the necessary skills and cncepts t cntinue the study

More information

Year 6 End of Year Expectations Reading, Writing and Maths

Year 6 End of Year Expectations Reading, Writing and Maths Year 6 End f Year Expectatins Reading, Writing and Maths Year 6 Reading Wrd reading Apply their grwing knwledge f rt wrds, prefixes and suffixes (mrphlgy and etymlgy), as listed in Appendix 1 f the Natinal

More information

Functions. EXPLORE \g the Inverse of ao Exponential Function

Functions. EXPLORE \g the Inverse of ao Exponential Function ifeg Seepe3 Functins Essential questin: What are the characteristics f lgarithmic functins? Recall that if/(x) is a ne-t-ne functin, then the graphs f/(x) and its inverse,/'~\x}, are reflectins f each

More information

EASTERN ARIZONA COLLEGE Introduction to Statistics

EASTERN ARIZONA COLLEGE Introduction to Statistics EASTERN ARIZONA COLLEGE Intrductin t Statistics Curse Design 2014-2015 Curse Infrmatin Divisin Scial Sciences Curse Number PSY 220 Title Intrductin t Statistics Credits 3 Develped by Adam Stinchcmbe Lecture/Lab

More information

B. Definition of an exponential

B. Definition of an exponential Expnents and Lgarithms Chapter IV - Expnents and Lgarithms A. Intrductin Starting with additin and defining the ntatins fr subtractin, multiplicatin and divisin, we discvered negative numbers and fractins.

More information

Lead/Lag Compensator Frequency Domain Properties and Design Methods

Lead/Lag Compensator Frequency Domain Properties and Design Methods Lectures 6 and 7 Lead/Lag Cmpensatr Frequency Dmain Prperties and Design Methds Definitin Cnsider the cmpensatr (ie cntrller Fr, it is called a lag cmpensatr s K Fr s, it is called a lead cmpensatr Ntatin

More information

Solving Inequalities: Multiplying or Dividing by a Negative Number

Solving Inequalities: Multiplying or Dividing by a Negative Number 11 Slving Inequalities: Multiplying r Dividing by a Negative Number We slve inequalities the same way we slve equatins, with ne exceptin. When we divide r multiply bth sides f an inequality by a negative

More information

Preparation work for A2 Mathematics [2018]

Preparation work for A2 Mathematics [2018] Preparatin wrk fr A Mathematics [018] The wrk studied in Y1 will frm the fundatins n which will build upn in Year 13. It will nly be reviewed during Year 13, it will nt be retaught. This is t allw time

More information

8 th Grade Math Connects

8 th Grade Math Connects 8 th Grade Math Connects Chapter 1: Rational Numbers and Percent Multi-Part Lesson 1: Rational Numbers A: Rational Numbers B: Add and Subtract Rational Numbers C: Multiply Rational Numbers D: Divide Rational

More information

M thematics. National 5 Practice Paper C. Paper 1. Duration 1 hour. Total marks 40

M thematics. National 5 Practice Paper C. Paper 1. Duration 1 hour. Total marks 40 N5 M thematics Natinal 5 Practice Paper C Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain

More information

Introductory Chapter(s)

Introductory Chapter(s) Course 1 6 11-12 years 1 Exponents 2 Sequences Number Theory 3 Divisibility 4 Prime Factorization 5 Greatest Common Factor Fractions and Decimals 6 Comparing and Ordering Fractions 7 Comparing and Ordering

More information

Appendix A: Mathematics Unit

Appendix A: Mathematics Unit Appendix A: Mathematics Unit 16 Delaware Mdel Unit Gallery Template This unit has been created as an exemplary mdel fr teachers in (re)design f curse curricula. An exemplary mdel unit has undergne a rigrus

More information

MIDDLETOWN PUBLIC SCHOOLS GEOMETRY CURRICULUM. High School. Curriculum Writers: Stephen G. Fagan, MaryBeth Murphy, and Gus Steppen.

MIDDLETOWN PUBLIC SCHOOLS GEOMETRY CURRICULUM. High School. Curriculum Writers: Stephen G. Fagan, MaryBeth Murphy, and Gus Steppen. MIDDLETOWN PUBLIC SCHOOLS CURRICULUM High Schl January 2012 2/20/2012 Middletwn Public Schls 1 T he Middletwn Public Schls Mathematics Curriculum fr grades K-12 was cmpleted in January 2012 by a K-12 team

More information

Cop yri ht 2006, Barr Mabillard.

Cop yri ht 2006, Barr Mabillard. Trignmetry II Cpyright Trignmetry II Standards 006, Test Barry ANSWERS Mabillard. 0 www.math0s.cm . If csα, where sinα > 0, and 5 cs α + β value f sin β, where tan β > 0, determine the exact 9 First determine

More information

Stage 6 PROMPT sheet. 2 > -2 We say 2 is bigger than -2-2 < 2 We say -2 is less than 2. 6/2 Negative numbers. l l l l l l l

Stage 6 PROMPT sheet. 2 > -2 We say 2 is bigger than -2-2 < 2 We say -2 is less than 2. 6/2 Negative numbers. l l l l l l l Stage 6 PROMPT sheet 6/ Place value in numbers t 0millin The psitin f the digit gives its size Ten millins Millins Hundred thusands Ten thusands thusands hundreds tens units 4 5 6 7 8 Example The value

More information

Millburn ASG Numeracy Developmental Milestones

Millburn ASG Numeracy Developmental Milestones Millburn ASG Numeracy Develpmental Milestnes Acknwledgement The Millburn Assciated Schls Grup (ASG) Numeracy Develpmental Milestnes have been develped using the Highland Numeracy Prgressin and wrk by Educatin

More information

GRADE 5 QUARTER 4 SUGGESTED PACING

GRADE 5 QUARTER 4 SUGGESTED PACING SUGGESTED PACING STRAND: PHYSICAL SCIENCE (PS) Tpic: Light, Sund and Mtin This tpic fcuses n the frces that affect mtin. This includes the relatinship between the change in speed f an bject, the amunt

More information

, which yields. where z1. and z2

, which yields. where z1. and z2 The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin

More information

End of Course Algebra I ~ Practice Test #2

End of Course Algebra I ~ Practice Test #2 End f Curse Algebra I ~ Practice Test #2 Name: Perid: Date: 1: Order the fllwing frm greatest t least., 3, 8.9, 8,, 9.3 A. 8, 8.9,, 9.3, 3 B., 3, 8, 8.9,, 9.3 C. 9.3, 3,,, 8.9, 8 D. 3, 9.3,,, 8.9, 8 2:

More information

ECE 2100 Circuit Analysis

ECE 2100 Circuit Analysis ECE 2100 Circuit Analysis Lessn 25 Chapter 9 & App B: Passive circuit elements in the phasr representatin Daniel M. Litynski, Ph.D. http://hmepages.wmich.edu/~dlitynsk/ ECE 2100 Circuit Analysis Lessn

More information

1 PreCalculus AP Unit G Rotational Trig (MCR) Name:

1 PreCalculus AP Unit G Rotational Trig (MCR) Name: 1 PreCalculus AP Unit G Rtatinal Trig (MCR) Name: Big idea In this unit yu will extend yur knwledge f SOH CAH TOA t wrk with btuse and reflex angles. This extensin will invlve the unit circle which will

More information

Trigonometry, 8th ed; Lial, Hornsby, Schneider

Trigonometry, 8th ed; Lial, Hornsby, Schneider Trignmetry, 8th ed; Lial, Hrnsby, Schneider Trignmetry Final Exam Review: Chapters 7, 8, 9 Nte: A prtin f Exam will cver Chapters 1 6, s be sure yu rewrk prblems frm the first and secnd exams and frm the

More information

Domains: Operations and Algebraic Thinking Clusters: Clusters outlined in bold should drive the learning for this period of instruction.

Domains: Operations and Algebraic Thinking Clusters: Clusters outlined in bold should drive the learning for this period of instruction. Weeks 6-10 September/Octber/Nvember envisinmath2.0 Tpics 3-4 Critical Area(s): Multiplicatin and Divisin FOCUS fr Grade 3 Majr Wrk 70% f time Supprting Wrk 20% f time Additinal Wrk 10% f time 3.OA.A.1-2-3-4

More information

COMMON CORE STATE STANDARDS THIRD GRADE

COMMON CORE STATE STANDARDS THIRD GRADE COMMON CORE STATE STANDARDS THIRD GRADE ENGLISH LANGUAGE ARTS STANDARDS» READING: LITERATURE KEY IDEAS AND DETAILS RL.3.1. Ask and answer questins t demnstrate understanding f a text, referring explicitly

More information

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax .7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical

More information

MATCHING TECHNIQUES. Technical Track Session VI. Emanuela Galasso. The World Bank

MATCHING TECHNIQUES. Technical Track Session VI. Emanuela Galasso. The World Bank MATCHING TECHNIQUES Technical Track Sessin VI Emanuela Galass The Wrld Bank These slides were develped by Christel Vermeersch and mdified by Emanuela Galass fr the purpse f this wrkshp When can we use

More information

Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs

Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs Admissibility Cnditins and Asympttic Behavir f Strngly Regular Graphs VASCO MOÇO MANO Department f Mathematics University f Prt Oprt PORTUGAL vascmcman@gmailcm LUÍS ANTÓNIO DE ALMEIDA VIEIRA Department

More information

NGSS High School Physics Domain Model

NGSS High School Physics Domain Model NGSS High Schl Physics Dmain Mdel Mtin and Stability: Frces and Interactins HS-PS2-1: Students will be able t analyze data t supprt the claim that Newtn s secnd law f mtin describes the mathematical relatinship

More information

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic. Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage

More information

Apply Discovery Teaching Model to Instruct Engineering Drawing Course: Sketch a Regular Pentagon

Apply Discovery Teaching Model to Instruct Engineering Drawing Course: Sketch a Regular Pentagon Available nline at www.sciencedirect.cm Prcedia - Scial and Behaviral Sciences 6 ( 01 ) 7 66 INTERNATIONAL EDUCATIONAL TECHNOLOGY CONFERENCE IETC01 Apply Discvery Teaching Mdel t Instruct Engineering Drawing

More information

Computational modeling techniques

Computational modeling techniques Cmputatinal mdeling techniques Lecture 4: Mdel checing fr ODE mdels In Petre Department f IT, Åb Aademi http://www.users.ab.fi/ipetre/cmpmd/ Cntent Stichimetric matrix Calculating the mass cnservatin relatins

More information

MATHEMATICS Grade 7 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Number and Number Systems

MATHEMATICS Grade 7 Standard: Number, Number Sense and Operations. Organizing Topic Benchmark Indicator Number and Number Systems Standard: Number, Number Sense and Operations Number and Number Systems A. Represent and compare numbers less than 0 through familiar applications and extending the number line. 1. Demonstrate an understanding

More information

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning BUI L T F O VIR R G INIA 2014 2015 Virginia -Specific Learning Pathways Grades 6-Algebra I: Standards of Learning Table of Contents Grade 6...3 Grade 7...6 Grade 8...9 Algebra I... 11 Grade 6 Virginia

More information