8 th Grade Math: Pre-Algebra
|
|
- Paul Pope
- 5 years ago
- Views:
Transcription
1 Hardin Cunty Middle Schl ( ) 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 thrugh the use f a pre-algebra curriculum, student-supprt prgrams, and technlgy-advanced classrms. The gals f the curse are t empwer students with a brad usability f mathematics as well as t prvide a smther transitin int a high schl algebra curse. Within the curse, students will increase their awareness f the real number system t include the irratinal numbers. Students will extend their knwledge f algebraic expressins and equatins that invlve slving a system f equatins as well as graphing linear functins. Students will cntinue the use f scientific ntatin and extend the cncept f square rts in the develpment f the Pythagrean Therem t slve real-wrld prblems. The verall design f this curse encmpasses an active-learning envirnment with a strict attentin t building student reasning, cmmunicatin, mdeling, and prblem-slving abilities with in real-wrld applicatins. Curse Objectives By the end f this curse, yu shuld be able t: 1. Reasn, cmmunicate, represent, and prblem-slve effectively while develping mathematical prficiency. 2. Describe the differences between the ratinal and irratinal number systems by peratins and prperties. Use accurate cmputing strategies t develp number sense, and cmputatinal fluency when perating with numbers in scientific ntatin.
2 Hardin Cunty Middle Schl ( ) 2 Effectively use rates t determine apprpriate distances, speed, and time (D = rt) relatinships as well as unit rates t cmpare best buys. 3. Describe the algebraic relatinships presented by tables, graphs, and symbls assciated with patterns, equatins, and functins. Create mdels f real-wrld mathematical phenmena using apprpriate technlgy. Represent, analyze, and slve prblems assciated with linear and nn-linear equatins and functins. 4. Use technlgy t develp cnvincing arguments, prfs, and prperties t supprt cnjectures in gemetric reasning assciated with parallel lines cut by a transversal. Extend the cncept f square rts t find distances algebraically using the Pythagrean Therem. 5. Create and interpret statistical data assciated with scatterplts and lines f best fit t make cnjectures and identify misrepresentatins f published data. Textbk This curse uses the Glence Pre-Algebra textbk published by Glence/McGraw-Hill 2012 and its assciated nline textbk resurces frm Cnnect-ED as well as teacher supplemented instructinal resurces. Each student will be assigned a student textbk in additin t a username and passwrd t access the Cnnect-Ed site. Each student is respnsible fr the cnditin f the textbk as well as the security f their username and passwrd. Curse Outline Belw is a tentative utline f the units and lessns fr each nine-week perid thrughut the curse. Please nte sme skills maybe shifted peridically r verlapped in a 9-week perid based n the level f student understanding.
3 Hardin Cunty Middle Schl ( ) 3 1 st 9-weeks Unit 1: Expressins, Integers, and Equatins This unit builds upn students understanding and fluency with algebraic expressins and equatins. Students will be able t represent real-wrld situatins with algebraic expressins and slve cntextual prblems that invlve peratins with integers. In additin students will be able t analyze and slve tw-step/multi-step equatins using the distributive prperty and by cmbining like terms. Standards Areas f Fcus Tasks Perfrmance 8.EE.7 Represent algebraic relatinships with expressins and equatins. Mdel algebraic expressins and equatins symblically. Simplify expressins and equatins by cmbining like terms. Mdel and use the distributive prperty t slve equatins. 8.EE.7 Slve real-wrld prblems using symblic algebra. Slve ne, tw, and multi-step equatins. Slve equatins where f(x)=g(x). 8.EE.7 Develp strng number sense when perating with integers. Develp the rules fr adding, subtracting, multiplying, and dividing integers. Parent Review Date
4 Hardin Cunty Middle Schl ( ) 4 1 st 9-weeks Unit 2: Rates, Functins, and Graphing This unit builds upn student knwledge f ratis, rates, and linear functins. Students will be able t calculate unit rates in rder t determine best buy and use rates t slve distance (D=rt) prblems. In additin, students will be able t graph linear functins, use slpe t analyze situatins cmparing linear and nnlinear functins, and find slutins t a system f equatins. Standards Areas f Fcus Tasks Perfrmance 8.EE.5 SPI Use real-wrld applicatins t determine the best buy using unit rates. Calculate and cmpare unit rates t determine the best buy. 8.EE.5, Slve prblems invlving distance (D = rt). SPI Using the distance equatin (D = rt), determine distance/rate/time. Parent Review Date
5 Hardin Cunty Middle Schl ( ) 5 2 nd 9-weeks Unit 2: Rates, Functins, and Graphing (cnt.) This unit builds upn student knwledge f ratis, rates, and linear functins. Students will be able t calculate unit rates in rder t determine best buy and use rates t slve distance (D=rt) prblems. In additin, students will be able t graph linear functins, use slpe t analyze situatins cmparing linear and nnlinear functins, and find slutins t a system f equatins. Standards Areas f Fcus Tasks Perfrmance 8.EE.5, 8.EE.7, 8.EE.8, 8.F.1-5, SPI , SPI /3.2 SPI SPI EE.6, SPI Parent Review Graph prprtinal and linear relatinships. Interpret the unit rate as the slpe f a graph f a prprtinal relatinship. Define and translate between the varius representatins f a linear functin. Analyze the graph f a linear functin t find its slutins. Cmpare functins as linear r nnlinear. Find the slutin t systems f equatins. Use similar triangles t interpret the meaning f slpe. Develp the slpe frmula. Find the slpe frm a table, set f pints, graph, r equatin. Derive the equatin f a line thrugh the rigin as y = mx and the equatin f line intersecting the y-axis as y = mx + b. Date
6 Hardin Cunty Middle Schl ( ) 6 3 rd 9-weeks Unit 3: Scientific Ntatin, the Real Number System, and the Pythagrean Therem. This unit extends students peratins f real-wrld prblems with numbers in scientific ntatin, numbers within the real number system and the use f the Pythagrean Therem. Students will be able t perate fluently with numbers in scientific ntatin. In additin, students will be able t classify and cmpare ratinal and irratinal numbers within the real number system. Lastly, students will be able t derive the Pythagrean Therem and implement its use t slve real-wrld prblems. Standards Areas f Fcus Tasks Perfrmance 8.EE.3, 8.EE.4, Slve real-wrld prblems in scientific ntatin. SPI Cnvert numbers t and frm scientific SPI ntatin. Cmpute sums, differences, prducts, and qutients f numbers in scientific ntatin. 8.NS.1, 8.NS.2, SPI Classify, rder, and cmpare ratinal and irratinal numbers n the number line. Identify numbers and square rts as ratinal/irratinal. 8.G.6, 8.G.7, 8.G.8, Use the Pythagrean Therem t slve cntextual prblems. SPI , SPI Mdel and derive the Pythagrean Therem Find the missing values f the hyptenuse r legs f a right triangle. Find the distance between tw pints in the crdinate plane. Parent Review Date
7 Hardin Cunty Middle Schl ( ) 7 4 th 9-weeks Unit 4: Angle Relatinships and Data Analysis This unit intrduces the prperties f angles frmed by parallel lines cut by a transversal and uses graphical representatins t determine relatinships between tw sets f data. Students will be able t identify and measure the angles frmed when parallel lines are cut by a transversal. In additin students will be able t interpret graphical representatins f data and identify misleading infrmatin published in graphs and ther media. Standards Areas f Fcus Tasks Perfrmance 8.G.1, 8.G.5, SPI SP.1, 8.SP.2, 8.SP.3, 8.SP.4, SPI SPI Understand the angle relatinships frmed frm parallel lines cut by a transversal. Determine cmplementary/supplementary angles. Analyze cngruent angle pairs (alternate interir/exterir, crrespnding, adjacent). Find missing angle values. Represent real-wrld data with scatterplts t make and test cnjectures. Generalize the relatinship between tw sets f data with scatterplts and lines f best fit. Determine the equatin fr a line f best fit. Analyze misrepresentatins f published data in the media. Cnsider the surce, design, and display in the misrepresentatin f data. Parent Review Date
8 Hardin Cunty Middle Schl ( ) 8 4th 9-weeks Unit 5: Cmmn Cre Readiness This unit is t strengthen prerequisite skills necessary fr implementing cmmn cre standards. Students will build upn current knwledge f gemetric prperties and extend it int 2-D and 3-D figures. Standards Areas f Fcus Tasks Perfrmance 8.G.1, 8.G.2, 8.G.3, 8.G.4, Verify the gemetric prperties f rtatins, reflectins, and translatins. Understand the meaning f cngruence as it applies t 2-D figures. Cnstruct cngruent mdels f 2-D figures and describe the sequence that exhibits the similarity between them. 8.G.9 Slve prblems invlving the vlume f cylinders, cnes, and spheres. Knw hw t use the frmulas fr the vlumes invlving 3-D bjects t slve mathematical prblems. Parent Review Date
9 Hardin Cunty Middle Schl ( ) 9 Assignments and Literacy Initiative The Different Kinds f Assignments The assignments thrughut the curse are used nt nly t assess student understanding but they are als intended t make learning math meaningful. In additin t implementing exercises and prjects t prmte skill and practice, several literacy cmpnents have been added t increase critical-thinking skills and supprt the HCMS Literacy Initiative. A variety f assignments include: Online Readings-- Online reading assignments are included in the curse. They may cme frm Wikipedia definitins, bk excerpts, etc., t prvide an intrductin t a lessn, prvide infrmatin, r be articles r papers that have been authred by experts in the field. Readings frm E-Bks-- Yu may have t read and present n any required readings frm the textbk which incrprate, histrical facts, inventins, statistics assciated with the lessn cntent. Web Quests Web Quests teach yu hw t use the Internet as a resurce tl. Yu may be given links t websites that either enhance the cntent f readings r shw yu where infrmatin and resurces can be fund. Sme prvide nline stries r articles. Mst als have Discussin Questins relating t the cntent f the internet resurce. Exercises-- may cnsist f cmpleting skill and practices prblems, slving applicatin prblems, r prviding respnses t Higher-Order Thinking (HOT) questins. Exercises are usually perfrmed ffline with pencil and paper. Prjects-- are individual assignments that require yu cnduct research and design a platfrm fr presenting the infrmatin. Mst prjects are assignments that assess yur ability t extend yur learning f the subject utside f the classrm. Discussin Questins-- are answered in the class discussin frum, either grup discussin r via psting, and frm the cre f class cmmunicatin. Discussin Questins may ask yu t apply mathematics cncepts t yur wn circumstances, prvide
10 Hardin Cunty Middle Schl ( ) 10 yur pinin abut the cntent, r share yur experiences cmpleting exercises r activities. Participatin in discussins is required. Reflective Activities-- Reflective activities such as analyzing student wrk, writing up test crrectins, r critiquing an assignment may be used as a methd fr yu t analyze, synthesize, and evaluate math cntent. Cllabrative Prjects-- Cllabrative prjects can invlve teams f students wrking tgether t participate in study grups, write research papers, make presentatins, and take part in simulatin activities. The prjects allw interactins with fellw students and build n facilitatin and planning skills. Tutring and RTI There are several frms f tutring and Respnse t Interventin (RTI) prgrams created t meet yur needs in the curse. The nline textbk cmes with a vide-based persnal tutr that recvers the material previusly learned in class. Tutring is als available afterschl twice a week fr additinal help in math. Here yu can cmplete assignments r ask fr help as needed n any subject area. Additinal remediatin and enrichment activities are prvided during SPI Lab time. Remember at HCMS we are here t help yu. All yu have t d is ask!
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 informationA 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 informationBuilding 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 informationMath 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 information7 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 7 TH GRADE MATH STANDARDS 7.M.1.1: (Cmprehensin) Select, use,
More information5 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 informationEmphases 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 informationUnit 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 informationWest Deptford Middle School 8th Grade Curriculum Unit 4 Investigate Bivariate Data
West Deptfrd Middle Schl 8th Grade Curriculum Unit 4 Investigate Bivariate Data Office f Curriculum and Instructin West Deptfrd Middle Schl 675 Grve Rd, Paulsbr, NJ 08066 wdeptfrd.k12.nj.us (856) 848-1200
More informationMODULE 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 informationMath 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 informationUnit 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 informationNUMBERS, 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 informationThe 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 informationCity 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 informationAppendix 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 informationEASTERN 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 informationDepartment: 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[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 informationMODULE 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 informationANSWER 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 informationA Quick Overview of the. Framework for K 12 Science Education
A Quick Overview f the NGSS EQuIP MODULE 1 Framewrk fr K 12 Science Educatin Mdule 1: A Quick Overview f the Framewrk fr K 12 Science Educatin This mdule prvides a brief backgrund n the Framewrk fr K-12
More informationTriangle 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 informationFall 2013 Physics 172 Recitation 3 Momentum and Springs
Fall 03 Physics 7 Recitatin 3 Mmentum and Springs Purpse: The purpse f this recitatin is t give yu experience wrking with mmentum and the mmentum update frmula. Readings: Chapter.3-.5 Learning Objectives:.3.
More informationTransfer 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 informationProfessional Development. Implementing the NGSS: High School Physics
Prfessinal Develpment Implementing the NGSS: High Schl Physics This is a dem. The 30-min vide webinar is available in the full PD. Get it here. Tday s Learning Objectives NGSS key cncepts why this is different
More informationUnit 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 informationDifferentiation Applications 1: Related Rates
Differentiatin Applicatins 1: Related Rates 151 Differentiatin Applicatins 1: Related Rates Mdel 1: Sliding Ladder 10 ladder y 10 ladder 10 ladder A 10 ft ladder is leaning against a wall when the bttm
More informationAlgebra 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 informationMonroe 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 informationCurriculum 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 informationI.S. 239 Mark Twain. Grade 7 Mathematics Spring Performance Task: Proportional Relationships
I.S. 239 Mark Twain 7 ID Name: Date: Grade 7 Mathematics Spring Perfrmance Task: Prprtinal Relatinships Directins: Cmplete all parts f each sheet fr each given task. Be sure t read thrugh the rubrics s
More informationMathematics and Computer Sciences Department. o Work Experience, General. o Open Entry/Exit. Distance (Hybrid Online) for online supported courses
SECTION A - Curse Infrmatin 1. Curse ID: 2. Curse Title: 3. Divisin: 4. Department: 5. Subject: 6. Shrt Curse Title: 7. Effective Term:: MATH 70S Integrated Intermediate Algebra Natural Sciences Divisin
More informationCode: 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 informationGRADE 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 informationY10 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 informationMATHEMATICS 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 informationCourse 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 informationArea 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 informationMathematics 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 informationINSTRUCTIONAL PLAN Day 2
INSTRUCTIONAL PLAN Day 2 Subject: Trignmetry Tpic: Other Trignmetric Ratis, Relatinships between Trignmetric Ratis, and Inverses Target Learners: Cllege Students Objectives: At the end f the lessn, students
More informationArea 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 informationArea 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 informationCredits: 4 Lecture Hours: 4 Lab/Studio Hours: 0
Cde: MATH 025 Title: ELEMENTARY ALGEBRA Divisin: MATHEMATICS Department: MATHEMATICS Curse Descriptin: This curse is a review f elementary algebra and requires previus experience in algebra. The curse
More informationGrade Level: 4 Date: Mon-Fri Time: 1:20 2:20 Topic: Rocks and Minerals Culminating Activity Length of Period: 5 x 1 hour
Lessn Plan Template 1. Lessn Plan Infrmatin Subject/Curse: Science Name: Janne Kmiec Grade Level: 4 Date: Mn-Fri Time: 1:20 2:20 Tpic: Rcks and Minerals Culminating Activity Length f Perid: 5 x 1 hur 2.
More informationWeathering. Title: Chemical and Mechanical Weathering. Grade Level: Subject/Content: Earth and Space Science
Weathering Title: Chemical and Mechanical Weathering Grade Level: 9-12 Subject/Cntent: Earth and Space Science Summary f Lessn: Students will test hw chemical and mechanical weathering can affect a rck
More informationUnit 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 informationDomains: 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 informationDiscovering the Better Buy
Discvering the Better Buy Presented by: Cynthia Raff cynthia@mathandteaching.rg The Center fr Mathematics and Teaching, Inc. www.mathandteaching.rg Califrnia Mathematics Cuncil Palm Springs, CA Nvember
More informationSample 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 informationDistrict 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 informationHistory the Hood Way. Amy Shell-Gellasch Betty Mayfield Hood College. MD-DC-VA Section October 27, 2012
Histry the Hd Way Amy Shell-Gellasch Betty Mayfield Hd Cllege MD-DC-VA Sectin Octber 27, 2012 Weaving histry int the majr Mathematics as part f the liberal arts Frm the Department s Missin Statement: Students
More informationRevision: 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 informationEnglish 10 Pacing Guide : Quarter 2
Implementatin Ntes Embedded Standards: Standards nted as embedded n this page are t be cntinuusly spiraled thrughut the quarter. This des nt mean that nging explicit instructin n these standards is t take
More informationUnit 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 informationLesson Plan. Recode: They will do a graphic organizer to sequence the steps of scientific method.
Lessn Plan Reach: Ask the students if they ever ppped a bag f micrwave ppcrn and nticed hw many kernels were unppped at the bttm f the bag which made yu wnder if ther brands pp better than the ne yu are
More informationSTUDENT/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 informationEASTERN 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 informationmaking triangle (ie same reference angle) ). This is a standard form that will allow us all to have the X= y=
Intrductin t Vectrs I 21 Intrductin t Vectrs I 22 I. Determine the hrizntal and vertical cmpnents f the resultant vectr by cunting n the grid. X= y= J. Draw a mangle with hrizntal and vertical cmpnents
More informationCHAPTER 24: INFERENCE IN REGRESSION. Chapter 24: Make inferences about the population from which the sample data came.
MATH 1342 Ch. 24 April 25 and 27, 2013 Page 1 f 5 CHAPTER 24: INFERENCE IN REGRESSION Chapters 4 and 5: Relatinships between tw quantitative variables. Be able t Make a graph (scatterplt) Summarize the
More informationCologne 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 information5 th Grade Goal Sheet
5 th Grade Gal Sheet Week f Nvember 26 th, 2018 Frm Ms. Simmns: Upcming dates: 11/26 Thanksgiving Break Packets are due 12/4 Prgress Reprts fr 2 nd Quarter 12/5 12/7 Benchmark Testing 12/11- Parent Partnership
More informationWRITING THE REPORT. Organizing the report. Title Page. Table of Contents
WRITING THE REPORT Organizing the reprt Mst reprts shuld be rganized in the fllwing manner. Smetime there is a valid reasn t include extra chapters in within the bdy f the reprt. 1. Title page 2. Executive
More informationComputational 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 informationACADEMIC 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 informationMillburn 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 informationPHY The Physics of Musical Sound
AS-2556-167-GE, PHY 1050 Physics f Musical Sunds 3 PHY - 1050 - The Physics f Musical Sund C. Curse - New General Educatin* Updated General Catalg Infrmatin Cllege/Department Physics and Astrnmy Semester
More informationUC A-G Chemistry. Gorman Learning Center (052344) Basic Course Information
UC A-G Chemistry Grman Learning Center (052344) Basic Curse Infrmatin Title: UC A-G Chemistry Transcript abbreviatins: A-G Chem / A-G Chem Length f curse: Full Year Subject area: Labratry Science ("d")
More information5 th Grade Goal Sheet
5 th Grade Gal Sheet Week f Nvember 19 th, 2018 Upcming dates: 11/19 Franklin Institute Field Trip: Pack a Lunch 11/22 and 11/23 Schl Clsed fr the Thanksgiving Break. Frm Ms. Simmns: Dear 5 th Grade Students,
More informationFunctions. 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 informationB. 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 informationSubject description processes
Subject representatin 6.1.2. Subject descriptin prcesses Overview Fur majr prcesses r areas f practice fr representing subjects are classificatin, subject catalging, indexing, and abstracting. The prcesses
More informationAlgebra 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 informationSections 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 informationProvided by TryEngineering -
Prvided by TryEngineering - Lessn Fcus In this lessn, students build spinning tps ut f everyday materials. Their challenge is t design a spinning tp that can spin fr at least 10 secnds within a circle
More informationTrigonometric Ratios Unit 5 Tentative TEST date
1 U n i t 5 11U Date: Name: Trignmetric Ratis Unit 5 Tentative TEST date Big idea/learning Gals In this unit yu will extend yur knwledge f SOH CAH TOA t wrk with btuse and reflex angles. This extensin
More informationFunction 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 informationYEAR 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 informationENSC Discrete Time Systems. Project Outline. Semester
ENSC 49 - iscrete Time Systems Prject Outline Semester 006-1. Objectives The gal f the prject is t design a channel fading simulatr. Upn successful cmpletin f the prject, yu will reinfrce yur understanding
More informationMathematics Instructional Cycle Guide
Mathematics Instructinal Cycle Guide Cncept (7.RP.2) Rsemary Burdick, 2014 Cnnecticut Dream Team teacher 0 CT CORE STANDARDS This Instructinal Cycle Guide relates t the fllwing Standards fr Mathematical
More informationGetting Involved O. Responsibilities of a Member. People Are Depending On You. Participation Is Important. Think It Through
f Getting Invlved O Literature Circles can be fun. It is exciting t be part f a grup that shares smething. S get invlved, read, think, and talk abut bks! Respnsibilities f a Member Remember a Literature
More information1 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 informationExplore Pollination. Cups Scissors Computers or tablets with internet access Poster board & markers
Lessn Plan fr Grades: Middle Schl Length f Lessn: 90 minutes Authred by: UT Envirnmental Science Institute Date created: 05/10/2017 Subject area/curse: Science Materials: Pipe cleaners Tissue Paper Tape
More informationCS 477/677 Analysis of Algorithms Fall 2007 Dr. George Bebis Course Project Due Date: 11/29/2007
CS 477/677 Analysis f Algrithms Fall 2007 Dr. Gerge Bebis Curse Prject Due Date: 11/29/2007 Part1: Cmparisn f Srting Algrithms (70% f the prject grade) The bjective f the first part f the assignment is
More informationThermodynamics and Equilibrium
Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,
More informationAssessment Primer: Writing Instructional Objectives
Assessment Primer: Writing Instructinal Objectives (Based n Preparing Instructinal Objectives by Mager 1962 and Preparing Instructinal Objectives: A critical tl in the develpment f effective instructin
More informationRangely 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 informationPreparation 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 informationTrigonometric Functions. Concept Category 3
Trignmetric Functins Cncept Categry 3 Gals 6 basic trig functins (gemetry) Special triangles Inverse trig functins (t find the angles) Unit Circle: Trig identities a b c 2 2 2 The Six Basic Trig functins
More informationSAMPLE ASSESSMENT TASKS MATHEMATICS SPECIALIST ATAR YEAR 11
SAMPLE ASSESSMENT TASKS MATHEMATICS SPECIALIST ATAR YEAR Cpyright Schl Curriculum and Standards Authrity, 08 This dcument apart frm any third party cpyright material cntained in it may be freely cpied,
More information3. Classify the following Numbers (Counting (natural), Whole, Integers, Rational, Irrational)
After yu cmplete each cncept give yurself a rating 1. 15 5 2 (5 3) 2. 2 4-8 (2 5) 3. Classify the fllwing Numbers (Cunting (natural), Whle, Integers, Ratinal, Irratinal) a. 7 b. 2 3 c. 2 4. Are negative
More informationAssociated Students Flacks Internship
Assciated Students Flacks Internship 2016-2017 Applicatin Persnal Infrmatin: Name: Address: Phne #: Years at UCSB: Cumulative GPA: E-mail: Majr(s)/Minr(s): Units Cmpleted: Tw persnal references (Different
More informationA Transition to Advanced Mathematics. Mathematics and Computer Sciences Department. o Work Experience, General. o Open Entry/Exit
SECTION A - Curse Infrmatin 1. Curse ID: 2. Curse Title: 3. Divisin: 4. Department: MATH 245 A Transitin t Advanced Mathematics Natural Sciences Divisin Mathematics and Cmputer Sciences Department 5. Subject:
More informationGEOMETRY Transformation Project
GEOMETRY Transfrmatin Prject T bring tgether the unit f transfrmatins, yu will be making a Gemetry Transfrmatins Prject based n yur interest. This prject is meant t give yu an pprtunity t explre hw transfrmatins
More informationPower Formulas for Various Energy Resources and Their Application
EP@BHS-TOPIC 2: Energy, UNIT2.2: Energy Cnversin and Efficiency Page 1 UNIT 2.2 Energy Cnversin and Efficiency Purpse Once energy resurces are effectively utilized, cnversin t ther frms f energy is necessary
More informationMATHEMATICS CURRICULUM Grade 3
MIDDLETOWN PUBLIC SCHOOLS MATHEMATICS CURRICULUM Grade 3 Elementary Schl Curriculum Writers: Mary Alice Chrabascz, Mary Claneri, Danielle Laurie, Laurie Oliveira, Cathy Palkvic, Kim Pearce, Jen Pesare,
More informationLifting a Lion: Using Proportions
Overview Students will wrk in cperative grups t slve a real-wrd prblem by using the bk Hw D yu Lift a Lin? Using a ty lin and a lever, students will discver hw much wrk is needed t raise the ty lin. They
More informationHow do scientists measure trees? What is DBH?
Hw d scientists measure trees? What is DBH? Purpse Students develp an understanding f tree size and hw scientists measure trees. Students bserve and measure tree ckies and explre the relatinship between
More informationPublic Key Cryptography. Tim van der Horst & Kent Seamons
Public Key Cryptgraphy Tim van der Hrst & Kent Seamns Last Updated: Oct 5, 2017 Asymmetric Encryptin Why Public Key Crypt is Cl Has a linear slutin t the key distributin prblem Symmetric crypt has an expnential
More informationThis section is primarily focused on tools to aid us in finding roots/zeros/ -intercepts of polynomials. Essentially, our focus turns to solving.
Sectin 3.2: Many f yu WILL need t watch the crrespnding vides fr this sectin n MyOpenMath! This sectin is primarily fcused n tls t aid us in finding rts/zers/ -intercepts f plynmials. Essentially, ur fcus
More information