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.