SOCORRO ISD PLANNING GUIDE ALGEBRA I SB 463 EOC PROJECT

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Eugenia Miles
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1 SB 463 EOC PROJECT Independent Prject Individual Graduatin Cmmittee (IGC) Recmmended Assignment fr: Algebra 1 Time Allcatins 6 Weeks Unit Overview EOC Prject As a city planner, students develp a street map fr a new master planned cmmunity. Texas Essential Knwledge and Skills/Student Expectatins (TEKS/SEs) (district clarificatins/elabratins in italics) A.3(B) calculate the rate f change f a linear functin represented tabular, graphically, r algebraically in cntext f mathematical and real-wrld prblems A.3(C) graph linear functins n the crdinate plane and identify key features, including x-intercept, y-intercept, zers, and slpe, in mathematical and real-wrld prblems A.3(D) graph the slutin set f linear inequalities in tw variables n the crdinate plane A.3(A) determine the slpe f a line given a table f values, a graph, tw pints n the line, and an equatin written in varius frms, including y = mx + b, Ax + By = C, and y y1 = m(x x1) A.3(F) graph systems f tw linear equatins in tw variables n the crdinate plane and determine the slutins if they exist A.3(H) graph the slutin set f systems f tw linear inequalities in tw variables n the crdinate plane A.2(A) determine the dmain and range f a linear functin in mathematical prblems; determine reasnable dmain and range values fr real-wrld situatins, bth cntinuus and discrete; and represent dmain and range using inequalities A.2(C) write linear equatins in tw variables given a table f values, a graph, and a verbal descriptin A.5(C) slve systems f tw linear equatins with tw variables fr mathematical and real-wrld prblems A.2(B) write linear equatins in tw variables in varius frms, including y = mx + b, Ax + By = C, and y y1 = m(x x1), given ne pint and the slpe and given tw pints A.2(E) write the equatin f a line that cntains a given pint and is parallel t a given line A.2(H) write linear inequalities in tw variables given a table f values, a graph, and a verbal descriptin A.6(A) determine the dmain and range f quadratic functins and represent the dmain and range using inequalities A.7(A) graph quadratic functins n the crdinate plane and use the graph t identify key attributes, if pssible, including x-intercept, y-intercept, zers, maximum value, minimum values, vertex, and the equatin f the axis f symmetry A.7(C) determine the effects n the graph f the parent functin f(x) = x 2 when f(x) is replaced by af(x), f(x) + d, f(x c), f(bx) fr specific values f a, b, c, and d A.8(A) slve quadratic equatins having real slutins by factring, taking square rts, cmpleting the square, and applying the quadratic frmula A.6(B) write equatins f quadratic functins given the vertex and anther pint n the graph, write the equatin in vertex frm (f(x) = a(x h) 2 + k), and rewrite the equatin frm vertex frm t standard frm (f(x) = ax 2 + bx + c) A.9(C) write expnential functins in the frm f(x) = ab x (where b is a ratinal number) t describe prblems arising frm mathematical and real-wrld situatins, including grwth and decay A.9(D) graph expnential functins that mdel grwth and decay and identify key features, including y-intercept and asymptte, in mathematical and real-wrld prblems A.9(A) determine the dmain and range f expnential functins f the frm f(x) = ab x and represent the dmain and range using inequalities A.9(E) write, using technlgy, expnential functins that prvide a reasnable fit t data and make predictins fr real wrld prblems Page f Page 1 f 4

2 ³ English Language Prficiency Standards (ELPS) ELPS C.1c Use strategic learning techniques such as cncept mapping, drawing, memrizing, cmparing, cntrasting, and reviewing t acquire basic and grade-level vcabulary. ELPS C.4d Use prereading supprts such as graphic rganizers, illustratins, and pretaught tpic-related vcabulary and ther prereading activities t enhance cmprehensin f written text. Cllege and Career Readiness Standards (CCRS) CCRS 2.D2 Translate amng multiple representatins f equatins and relatinships. CCRS 7.A2 Recgnize and distinguish between different types f functins. CCRS 7.B2 Algebraically cnstruct and analyze new functins. CCRS 7.C1 Apply knwn functin mdels. CCRS 7.C2 Develp a functin t mdel a situatin. CCRS 9.A1 Use mathematical symbls, terminlgy, and ntatin t represent given and unknwn infrmatin in a prblem. CCRS 9.C2 Create and use representatins t rganize, recrd, and cmmunicate mathematical ideas. Key Cncepts equatin linear functin system f equatins expnential functin inequality quadratic functin system f inequalities grwth and decay Academic Vcabulary dmain range vertex crrelatin rt x-intercept functin ntatin slpe zer parallel lines y intercept intersectin rigin crdinate axis f symmetry Essential Understandings Patterns may be represented algebraically. Algebraic equatins mdel real-wrld relatinships. Functins are used t mdel real-wrld relatinships. Patterns may be represented in many ways, including equatins, tables, and graphs. Graphs f linear crrelatins represent trends in data that can be used t make predictins and critical judgments in prblem situatins. A graphical representatin f a system f linear equatins can be used t mdel real-wrld relatinships. A transfrmatin f the quadratic parent functin results in anther quadratic functin. Real wrld situatins invlving grwth and decay can be mdeled by expnential functins. Assessment Cnnectins Perfrmance Expectatin By the end f this unit, students will write and graph the equatins and inequalities f linear, quadratic, and expnential functins, and determine reasnable dmain and range values fr each functin. Students will als determine intersectins between lines, find rts f quadratic functins, and explain their reasnableness f their slutins. Frmative Assessment: EOC Prject Students wrk as a city planner t create a street map and master plan fr a new subdivisin that is being develped. Page f Page 2 f 4

3 Instructinal Strategies / Activities Guided Ntes and Supplemental Aides (see attachment) Vcabulary Examples Online resurces Hmewrk and Practice Rubric Students act as a city planner and develp a street map fr a new master planned cmmunity. Students first create a rugh draft n ntebk sized graph paper and then transfer their creatin nt a pster bard. See prject guidelines belw: All streets must be labeled with the name f the rad. Buildings and landmarks must be labeled. Lines cannt be hrizntal r vertical unless therwise dented. Each cmmunity requirement must be represented by a different equatin. The map shuld be easy t read, clrful, and creative. Final prduct must be represented n a crdinate plane and include all guidelines and requirements. Students access Frmative Assessment: EOC Prject and EOC Prject Rubric fr additinal instructins and guidelines. (Effective Practices: Assess Mastery and Beginning with the End) Mnitr student prgress at varius pints in the prject and evaluate using the rubric. Page f Page 3 f 4

4 Resurces Adpted Instructinal Materials Pearsn (2016) Texas Algebra I Tpic 3 Linear Functins Tpic 4 Systems f Equatins and Inequalities Tpic 8 Quadratic Functins and Equatins Tpic 9 Expnential Functins and Equatins Online Resurces Dmain and Range Graphically A lessn which describes and graphically represents varius functins Determining the Dmain and Range f Quadratic Functins Activity n dmain and range frm Prject Share Finding the Equatin f a Line (Given 2 Pints) A lessn n writing equatins with practice prblems and slutins Khan Academy: System f Equatins A cllectin f shrt vides n slving a system f equatins Page f Page 4 f 4

5 EOC Prject: Create Yur Own City Map - Rubric Alignment Prject Requirements Scring* Guided Ntes / Supplemental Aids Checkpint Cmmunity Requirement A.3(C) Cmmunity Requirement A.2(A) Cmmunity Requirement A.2(C) Cmmunity Requirement A.2(A) Cmmunity Requirement Checkpint Cmmunity Requirement A.3(B), A.3(A) Cmmunity Requirement A.2(B) Cmmunity Requirement A.6(B), A.7(C), A.8(A) Cmmunity Requirement A.2(H), A.3(H), A.C(D) Cmmunity Requirement Checkpint A.7(A), A.6(A), A.6(B) Cmmunity Requirement Cmmunity Requirement A.3(F), A.5(C) Cmmunity Requirement A.9(E), A.9(C), A.9(A), A.9(D) Cmmunity Requirement A.9(E), A.9(C), A.9(A), A.9(D) Cmmunity Requirement Checkpint City Map Key Fllws guidelines Demnstrates accurate mathematical understanding Prfessinal Representatin Demnstrates sufficient prgress n prject develpment Demnstrates high standards fr quality and neatness Prduces creative and innvative map Crrelates wrk t the map OVERALL SCORE (>69 is the passing standard) * Shws cmplete understanding f the required mathematical knwledge. The slutin cmpletely address all mathematical cmpnents presented in the task. Shws nearly cmplete understanding f required mathematical knwledge. The slutin addresses almst all mathematical cmpnents presented in the task. There may be minr errrs. Shws sme understanding f required mathematical knwledge. The slutin addresses sme, but nt all mathematical cmpnents presented in the task. Shws limited r n understanding f the prblem, perhaps nly recpying the given data. The slutin addresses nne f the mathematical cmpnents required t slve the task.

MATH PRACTICE EXAM 2 (Sections 2.6, , )

MATH PRACTICE EXAM 2 (Sections 2.6, , ) MATH 1050-90 PRACTICE EXAM 2 (Sectins 2.6, 3.1-3.5, 7.1-7.6) The purpse f the practice exam is t give yu an idea f the fllwing: length f exam difficulty level f prblems Yur actual exam will have different