Department: MATHEMATICS

Transcription

1 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 f algebra in MATH 151. This curse begins with a review f MATH 021 and cntinues with plynmial and expnential expressins, factring, quadratic equatins, ratinal and radical expressins and equatins. Prblem slving is stressed thrughut the curse. Prblems are apprached frm a variety f perspectives, including graphical, numerical, verbal, and algebraic. A graphing calculatr is required the specific mdel is determined by the department. This is a develpmental curse in fundatinal studies and will nt be cunted twards degree requirements. Prerequisites: MATH 021 Credits: 4 Lecture Hurs: 4 Lab: 0 REQUIRED TEXTBOOK/MATERIALS: 1. Cmputer Sftware: A MyMathLab (MML) access cde will be required fr nline assignments in all sectins. MML als prvides access t the e-bk: Rckswld, Beginning Algebra with Applicatins and Visualizatin, 3 rd Editin. 2. Ntebk: Yu shuld use a lse-leaf ntebk. Use the frnt f the ntebk fr class ntes, and the back f the ntebk fr written wrk that crrespnds t MML nline assignments. A lse-leaf ntebk is preferred ver a spiral-bund ntebk since yur instructr may wish t cllect assignments peridically. Returned assignments can be reinserted int their prper lcatin in a lse-leaf ntebk. 3. Graphing Calculatr: The calculatr fr this curse is the TI-83 (any versin) r TI-84 (any versin). The use f any ther calculatr shuld be discussed with the instructr. The TI-89 and TI-92 may nt be used fr testing. 4. Graph paper: Yu shuld bring graph paper t each class. 5. Ruler: Yu shuld bring a small ruler t each class. ADDITIONAL TIME REQUIREMENTS: OTHER TIME COMMITMENTS: This curse is self-paced. Students may wrk at their wn pace n MML nline assignments. If students cmplete all class requirements, they can accelerate and finish the curse prir t the last day f the semester. In additin t the regular class hurs, yu will need t set aside time each week t cmplete the nline assignments as hmewrk. The weekly time will vary by tpic and level f difficulty, but as an estimate, yu shuld expect tw hmewrk hurs fr each class hur per week. If yu are having any difficulty with the curse material, yu may need t allw time t see yur instructr during ffice hurs r t get help in the Math Lab. Page 1 f 7

2 COURSE LEARNING OUTCOMES: Upn cmpletin f this curse, students will be able t: Demnstrate the mathematical skills apprpriate t this curse. Use algebraic variables, expressins, and equatins t analyze and slve applicatin prblems. Interpret prblem slutins in the cntext f the situatin. Use a graphing calculatr t understand cncepts and slve prblems. COURSE GOAL: Upn cmpletin f this curse, students will be able t: Successfully participate in a next-level math curse r ther curse fr which this curse is a prerequisite. GRADING STANDARD: In this curse, yu will be evaluated by means f tests, labs, quizzes, and nline assignments. A. TESTS There will be three tests, ne after each unit. Each test is cumulative and cvers material frm the beginning f the curse. All supprting wrk must be shwn n tests in rder fr yur instructr t prperly assess yur understanding f the material. Graphing calculatrs are used n these tests. The tests will be given in class and unless yu are mving at a faster pace in the curse, it is expected that yu will be in class t take the test n the day it is given. If yu are very ill (verifiable with a dctr s nte) r yu have sme ther emergency, yu must cntact yur instructr immediately. Retesting fr Test 1 and Test 2: If yu pass a test with a grade f 70 r higher, yu may nt retest fr a higher grade. Fr Test 1, if yur grade is belw 70, yu have ne pprtunity fr a retest. Fr Test 2, if yur grade is belw 70, yu have ne pprtunity fr a retest. The decisin abut retesting shuld be made in cnsultatin with yur instructr. A passing retest grade is recrded as a 70. Befre retesting yu must meet with yur instructr and be prepared t shw all yur written wrk and crrectins n the test. Yur instructr may require additinal wrk and/r a special sessin in the Math Lab. Yur instructr will determine when yu are ready fr the retest. The retest must be taken within tw weeks f the day the test was given in class, unless yur instructr has made different arrangements. The grade n the retest, which will nt be recrded as higher than 70, will be the grade used t cmpute yur average fr the curse. B. LABS/QUIZZES/ONLINE ASSIGNMENTS There are daily labs in this curse. They may be cmpleted cllabratively r individually. The labs cntain prblems that reinfrce the cncepts and skills learned in class. There are als peridic quizzes, which may be nline. Online assignments are required as daily class wrk and shuld be cmpleted utside the classrm as hmewrk. Page 2 f 7

3 GRADING Each test is graded n the basis f 100 pints, the labs are averaged t frm yur lab grade, the quizzes are averaged t frm yur quiz grade and yur nline assignments are averaged t frm yur nline assignments grade. Yur final curse average is determined by a weighted average as fllws: Test 1 20% Test 2 25% Test 3 30% Labs/Quizzes/Online assignments 25% FINAL GRADE Yur final grade is determined as fllws: If yur final curse average is Yur final grade is A A B B B C C F r INC (see belw) Belw 65 F Incmplete INC is nly given at the discretin f yur instructr. This may ccur: 1. If yur final average is In this case, yu must pass a cmprehensive final exam with a minimum grade f 70 t earn a grade f C fr the curse. Failure t pass this test will result in a grade f F. OR 2. In dcumented cases f hardship r emergency. In this case, yu must meet with yur instructr t discuss the wrk that must be cmpleted t earn a grade in the curse. All wrk must be cmpleted within 21 days after the end f the term, exclusive f fficial cllege clsings. Withdrawal Yu may withdraw frm the curse, withut penalty, up t a date set by the Cllege. If yu d nt withdraw frm the curse but stp attending, yur grade at the end f the semester will be F. Page 3 f 7

4 COURSE CONTENT: (TEXT SECTION) Unit 1: In this unit, yu will review tpics frm MATH 021. Yu will write an equatin f a line in pint-slpe frm and the equatin f a line perpendicular t a given line. Unit 1 Outcmes: Yu will: Review prperties f real numbers, simplify and write algebraic expressins (1.7, 1.8) Use the additin and multiplicatin prperties f equality t slve linear equatins (2.1) Slve a linear equatin algebraically, graphically and numerically (2.2) Slve linear equatins by applying the distributive prperty (2.2) Translate sentences int equatins and slve linear equatins (2.3) Slve varius applicatin prblems (2.3) Simplify fractins cntaining unit labels (lab) Change frm ne unit f measure t anther using unit analysis (lab) Slve a frmula fr ne variable and evaluate frmulas (2.4) Graph linear inequalities n a number line (2.5) Write slutin sets in interval ntatin, a number line, and linear inequality and symbls (2.5) Slve linear inequalities in ne variable, express the slutin set in interval ntatin, and graph the slutin set n a number line (2.5) Write and slve linear inequalities fr applicatin settings (2.5) Interpret the slutins t linear inequalities in the cntext f the applicatin (2.5) Read and interpret a graph (3.1) Create tables t find slutins f linear equatins in tw variables by hand and using a graphing calculatr (3.2) Graph linear equatins in tw variables by hand and using a graphing calculatr (3.2) Find intercepts f a linear equatin by graphing and using tables (3.3) Interpret the meaning f the intercepts in an applicatin (3.3) Find the equatins f hrizntal and vertical lines (3.3) Find the slpe f a line frm its graph, frm the frmula, and frm a table (3.4) Interpret the slpe as a rate in the cntext f a prblem situatin (3.4) Find a linear equatin in slpe-intercept frm frm a graph (3.5) Use a graph and a table t find a linear equatin in slpe-intercept frm (3.5) Graph a line using the slpe-intercept frm (3.5) Determine if equatins represent parallel lines and find an equatin f a parallel line (3.5) Find an equatin f a perpendicular line (3.5) Use slpe and a pint t write the equatin f a line in a pint-slpe frm (3.6) Use a graph t find the equatin f a line in a pint-slpe frm (3.6) Find an equatin f a line in pint-slpe frm given tw pints (3.6) Set up a system f linear equatins and slve the system numerically, graphically and algebraically (4.1, 4.2, 4.3) Use a system f equatins t analyze and slve applicatin prblems and interpret the results in the cntext f the prblem situatin (4.2, 4.3) Simplify expressins cntaining zer and psitive expnents (5.1) Add and subtract plynmials in ne r mre variables (5.2) Evaluate a plynmial expressin (5.2) Multiply plynmials and recgnize special prducts f plynmials (5.3, 5.4) Page 4 f 7

5 Unit 2: In this unit, yu will evaluate expressins with negative expnents; write and wrk with numbers in scientific ntatin; make use f mre prperties f expnents; factr plynmial expressins; and slve equatins by factring. Unit 2 Outcmes: Yu will: Simplify expressins cntaining negative expnents (5.5) Use prperties f expnents t rewrite expressins with expnents (5.5) Cnvert numbers between decimal ntatin and scientific ntatin (5.5) Factr binmials and plynmials by using the greatest cmmn factr (6.1) Factr plynmial expressins by gruping (6.1) Factr trinmials f the frm x 2 + bx + c and ax 2 + bx + c (6.2, 6.3) Factr perfect square trinmials, and the difference f tw squares (6.4) Develp a basic factring strategy t implement fr any plynmial (6.5) Slve quadratic equatins by factring and apply the zer-prduct prperty (6.6) Slve applicatin prblems and interpret the results in the cntext f the prblem situatin (6.6) Slve plynmial equatins by factring (6.7) Given a quadratic equatin, determine whether its graph pens up r dwn and find the vertex, axis f symmetry, and y-intercept and use this infrmatin t sketch a graph by hand (9.1) Create a table t graph a quadratic equatin. Use a TI-83/84 t check the graph (9.1) Slve quadratic equatins by graph and table. Use a TI-83/84 t check the slutins (9.1) Slve quadratic equatins numerically, graphically, and symblically using factring. Use a TI-83/84 t check answers (9.2) Use the square rt prperty t find the slutins t quadratic equatins (9.2) Slve applicatins f quadratic equatins and interpret slutins in the cntext f the applicatin (9.2) Unit 3: In this unit, yu will study applicatins invlving direct and inverse variatin and ratinal functins. Yu will als study ratinal expressins and equatins. Unit 3 Outcmes: Yu will: Evaluate and simplify ratinal expressins. Recgnize when a ratinal expressin simplifies t 1 r 1 (7.1) Multiply and divide ratinal expressins (7.2) Add and subtract ratinal expressins with like and unlike denminatrs (7.3, 7.4) Slve equatins cntaining ratinal expressins (7.6) Identify the difference between ratinal expressins and ratinal equatins (7.6) Use graphs and tables t slve ratinal equatins and check slutins (7.6) Slve a frmula fr a variable (7.6) 1 Slve applicatin prblems related t + 1 = 1 (7.6) a b c Interpret the slutins f ratinal equatins in the cntext f the applicatin (7.6) Evaluate principle square rts (8.1) Multiply, divide, add, and subtract radical expressins (8.2, 8.3) Slve radical equatins algebraically by squaring bth sides (8.5) Use graphs and tables t slve radical equatins and check slutins 4 (8.5) Slve applicatins f radical equatins and interpret slutins in the cntext f the applicatin (8.5) Page 5 f 7

6 DEPARTMENT POLICIES: The Math Department wants yu t be successful in this curse. Because f this, we have cmpiled a list f strategies and behavirs. Attendance and class participatin If yu want t be successful in this curse, attend every class. Cme t class n time, and stay fr the entire class perid. If yu are late r leave during class, yu will miss imprtant class material and yu will als distract yur classmates and yur instructr. (See the Student Cnduct Cde) Turn ff yur cell phne during class. Yu and yur classmates need t be free frm distractins. (See the Student Cnduct Cde) Bring yur ntebk, supplementary materials, and calculatr t every class. Respect yur classmates and yur instructr. Listen carefully t questins asked and answers given. Treat all questins with respect. Participate fully in class. Vlunteer answers, wrk prblems, take careful ntes, and engage in discussins abut the material. Abve all, stay n task. Cntribute yur share t yur in-class grup wrk and d yur best t make the grup experience a psitive ne fr all members. D yur wn wrk n tests and quizzes. Cheating will nt be tlerated. (See the Academic Integrity Cde.) Hmewrk Hmewrk is the way yu practice the ideas and skills that are intrduced in class. T be successful n the tests, yu must d the hmewrk. In this class, yur hmewrk is t cmplete the daily nline assignments. When yu d the hmewrk, write dwn all supprting wrk. Using the crrect prcess is at least as imprtant as getting the crrect answer, s yur wrk and steps are very imprtant. The written wrk fr yur nline assignments may be cllected and hmewrk questins may be included n quizzes r tests. Remember t check yur answers. Make use f the MML features t practice additinal prblems, as needed. If there are questins yu can t get r dn t understand, ask abut them at the beginning f the next class. Yu can wrk n yur nline assignments in the Math Lab, where help is available. Absence If yu are sick and an absence is unavidable, please call r yur instructr. Yu are still respnsible fr all material that was cvered during yur absence. Yu are expected t cntinue wrking n yur nline assignments. Make time t see yur instructr when yu return s that yu can get any papers yu missed. Yu will nt be able t make up labs. Remember that yu are expected t be in class fr the tests, unless yu are mving at a faster pace in the curse. Page 6 f 7

7 Getting Help After yu have tried the hmewrk, there are ways t get help: Lk in yur text and yur class ntes fr examples similar t the prblems yu are finding difficult. See yur instructr during ffice hurs r make an appintment. Bring the wrk yu have dne. G t the Math Lab t get extra help n yur hmewrk r simply g and d yur hmewrk there. Smene will be there if yu get stuck. Yu dn t need an appintment t use the Math Lab. Frm a study grup with ther class members. Wrking with ther students can be a great way t learn. If yu have a grup t wrk with, cnsider meeting and wrking tgether in the Math Lab. Yur textbk may have a cmplete slutins manual available in the Math Lab, which can be used in the Math Lab. Yu can use the cmputers in the cmputer lab within the Math Lab t d wrk related t yur math curse. In the Math Lab, yu can get help n hw t use yur calculatr. Visit the Math Lab website t view hurs and ther useful infrmatin abut the Math Lab. COLLEGE POLICIES: Fr infrmatin regarding: Brkdale s Academic Integrity Cde Student Cnduct Cde Student Grade Appeal Prcess Please refer t the BCC STUDENT HANDBOOK AND BCC CATALOG. NOTIFICATION FOR STUDENTS WITH DISABILITIES: Brkdale Cmmunity Cllege ffers reasnable accmmdatins and/r services t persns with disabilities. Students with disabilities wh wish t self-identify must cntact the Disabilities Services Office at (vice) r (TTY) t prvide apprpriate dcumentatin f the disability, and request specific accmmdatins r services. If a student qualifies, reasnable accmmdatins and/r services, which are apprpriate fr the cllege level and are recmmended in the dcumentatin, can be apprved. Page 7 f 7