EASTERN ARIZONA COLLEGE

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1 EASTERN ARIZONA COLLEGE Principles f Mathematics II Curse Design Curse Infrmatin Divisin Mathematics Curse Number MAT 157 Title Principles f Mathematics II Credits 3 Develped by Ray Orr Lecture/Lab Rati 3 Lecture/0 Lab Transfer Status ASU NAU UA MTE 281 MAT 155; Fundatin Requirement [FNRQ] MATH Dept Elective Activity Curse N CIP Cde Assessment Mde Final Exam (25 Questins/100 Pints) Semester Taught Spring GE Categry Nne Separate Lab N Awareness Curse N Intensive Writing Curse N Prerequisites MAT 140 r higher with a grade f "C" r higher r placement test scre as established by District plicy Descriptin A cntinuatin f MAT 156, Principles f Math I, including the prcesses underlying mathematics instructin in grades K-8; algebra, measurement, gemetry including perimeter, area, vlume, surface area, transfrmatins, cnstructins, symmetry, scaling, statistics, and prbability. Supplies Calculatr EASTERN ARIZONA COLLEGE Principles f Mathematics II

2 Cmpetencies and 1. Explain algebra. a. Classify expressins as either numerical r algebraic. b. Define a variable in the cntext f a prblem. c. Evaluate algebraic expressins. d. Explain the prcess f slving an equatin. e. Slve prblems using algebraic thinking. f. Determine the number f slutins an equatin has as; infinite, nne, r finite. g. Classify a sequence as arithmetic, gemetric, r neither. h. Determine a frmula fr the general term fr bth arithmetic and gemetric sequences. i. Graph linear functins. j. Explain the slpe as a rate f change. k. Slve prblems numerically, graphically, and analytically. learner can classify expressins as either numerical r algebraic learner can define a variable in the cntext f a prblem learner can evaluate algebraic expressins learner can explain the prcess t slve an equatin learner can slve prblems using algebraic thinking learner can determine the number f slutins as: infinite, nne, r finite learner can identify sequences as arithmetic, gemetric, r neither learner can find the general term f arithmetic and gemetric sequences learner can graph linear functins learner can explain slpe as a rate f change learner can slve prblems numerically, graphically, and analytically 2. Explain basic gemetry ideas. a. Explain the cncept f a pint, line, ray, an angle, and a plane. b. Classify angles as acute, right, btuse, r straight. c. Use degrees t measure angles. d. Find the cmpliment and supplement f an angle. e. Discuss angles prduced by cnfiguratins f lines. EASTERN ARIZONA COLLEGE Principles f Mathematics II

3 f. Explain the difference between parallel, skew, and perpendicular lines. g. Define, identify, and classify plygns. h. Classify quadrilaterals in a hierarchy based n their prperties. i. Identify the parts f a circle (center, radius, diameter, and circumference). learner can explain the cncept f a pint, a line, a ray, an angle, and a plane learner can use degree angle measure learner defines, identifies, and classifies angles as acute, right, btuse, r straight learner can find the cmpliment and supplement f an angle learner can discuss angles prduced by cnfiguratins f lines learner can explain the difference between parallel, skew, and perpendicular lines learner can define, identify, and classify plygns learner can classify quadrilaterals in a hierarchy based n their prperties learner can identify the parts f a circle 3. Explain measurement. a. Use the U.S. custmary system f measure. b. Use the Metric system f measure. c. Select an apprpriate unit fr a measurement in bth systems. d. Use the crrect units fr length, area, and vlume. e. Cmpute unit cnversins within the U.S. custmary system. f. Cmpute unit cnversins within the Metric system. g. Cmpute unit cnversins between the tw systems f measurement. h. Explain why sme errr is invlved in all measurements. learner can select an apprpriate unit fr a measurement in bth systems learner can use the U.S. custmary system f measure learner can use the Metric system f measure learner can use crrect units fr length, area, and vlume EASTERN ARIZONA COLLEGE Principles f Mathematics II

4 learner can cnvert units within the U.S. custmary system learner can cnvert units within the Metric system learner can cnvert between bth measurement systems learner can explain why sme errr is invlved in all measurements 4. Explain perimeter and area f shapes. a. Explain and use the mving and additivity principles. b. Use the frmula fr the area f a rectangle t explain the area frmulas f ther shapes. c. Define pi. d. Explain why the area frmula fr circles is valid. e. Explain why shearing a shape des nt change its area. f. Estimate the area f irregular shapes. g. Slve prblems using the Pythagrean Therem. learner can explain and use the mving and additivity principles learner can use the frmula fr the area f a rectangle t explain ther area frmulas. learner can define pi learner can explain why the frmula fr the area f a circle is valid learner can explain why shearing a shape des nt change its area learner can apprximate the area f irregular shapes learner can use the Pythagrean Therem 5. Explain the gemetry f slid shapes and their vlume and surface area. a. Determine the number f faces, edges, and vertices f a slid. b. Classify slids as prisms, cylinders, cnes, r pyramids. c. Create the pattern r net f a slid. d. Create the slid given the pattern r net. e. Calculate the vlume f prisms, cylinders, cnes, and pyramids. f. Calculate the surface area f prisms, cylinders, cnes, and pyramids. g. Calculate the vlume and surface area f spheres. h. Explain the vlume f submersed bjects verses the weight f flating bjects. EASTERN ARIZONA COLLEGE Principles f Mathematics II

5 learner can determine the number f faces, edges, and vertices f a slid learner can classify slids as prisms, cylinders, cnes, r pyramids learner can create the pattern r net f a slid learner can create the slid given the pattern r net learner can calculate the vlume f prisms, cylinders, cnes, and pyramids learner can calculate the surface area f prisms, cylinders, cnes, and pyramids learner can calculate the vlume and surface area f spheres learner can explain the vlume f submersed bjects verses the weight f flating bjects 6. Explain gemetric cnstructins, mtin, and change. a. Explain the transfrmatin f reflectin and its prperties. b. Explain the transfrmatin f translatin and its prperties. c. Explain the transfrmatin f rtatin and its prperties. d. Explain different types f symmetry. e. Explain scaling in terms f length, area, and vlume. f. Explain similar shapes. g. Use similarity t slve prblems. h. Demnstrate gemetric cnstructins with a cmpass and straight edge. learner can explain the transfrmatin f reflectin and its prperties learner can explain the transfrmatin f translatin and its prperties learner can explain the transfrmatin f rtatin and its prperties learner can explain different types f symmetry learner can explain scaling in terms f length, area, and vlume learner can explain similar shapes learner can use similarity t slve prblems learner can demnstrate gemetric cnstructins with a cmpass and straight edge EASTERN ARIZONA COLLEGE Principles f Mathematics II

6 7. Explain rganizing and analyzing data. a. Cnstruct and interpret a variety f statistical graphs and tables. b. Calculate the mean, median, and mde f a data set. c. Calculate the range and standard deviatin f a data set and explain what it measures. d. Calculate the quartiles f a data set. e. Explain the characteristics f a nrmal distributin. learner can cnstruct and interpret a variety f statistical graphs and tables learner can explain cmmn statistical deceptins learner can calculate the mean, median, and mde f a data set learner can calculate the range and standard deviatin f a data set learner can explain the characteristics f a nrmal distributin 8. Explain prbability. a. Explain experimental and theretical prbabilities. b. Explain basic prbability. c. Explain cmplementary, independent, and dependent events. d. Calculate the prbabilities f simple events. learner can explain experimental and theretical prbabilities learner can explain basic prbability learner explain cmplementary, independent, and dependent events learner can calculate the prbabilities f simple events EASTERN ARIZONA COLLEGE Principles f Mathematics II

7 Types f Instructin Classrm Presentatin Grading Infrmatin Grading Ratinale Each instructr has the flexibility t develp evaluative prcedures within the fllwing parameters. 1. Written exams must represent at least 60% f the final curse grade. 2. Final exam must represent at least 20% f the final curse grade. 3. Other activities may represent at mst 20% f the final curse grade. Grading Scale A 90%-100% B 80%-89% C 70%-79% D 60%-69% F Belw 60% EASTERN ARIZONA COLLEGE Principles f Mathematics II