Kindergarten Focus Additional Sample Counting and Cardinality Geometry

Transcription

1 Kindergarten Fcus Additinal Sample Cunting and Cardinality Gemetry Knw number names and cunt sequence. Cunt t tell the number f bjects. Cmpare numbers. Operatins and Algebraic Understand additin as putting tgether and adding t, and understand subtractin as taking apart and taking frm. Number and Operatins in Base Ten Wrk with numbers t grain fundatins fr place value. Depth Opprtunities: CC 4, 5, 6; OA 2, 4 Identify and describe shapes. Analyze, cmpare, create, and cmpse shapes. Describe and cmpare measurable attributes. Classify bjects in categries.

2 Operatins and Algebraic Grade 1 Fcus Additinal Sample Gemetry Represent and slve prblems invlving additin and subtractin. Understand and apply prperties f peratins and the relatinship between additin and subtractin. Add and subtract within 20. Wrk with additin and subtractin equatins. Number and Operatins in Base Ten Extend the cunting sequence. Understand place value. Use place value understanding and prperties f peratins t add and subtract. Measure lengths indirectly and by iterating length units. Depth Opprtunities: OA 1, 6; NBT 2, 4; MD 2 Reasn with shapes and their attributes. Tell and write time. Represent and interpret data.

3 Grade 2 Fcus Additinal Sample Operatins and Algebraic Represent and slve prblems invlving additin and subtractin. Add and subtract within 20. Wrk with equal grups f bjects t gain fundatins fr multiplicatin. Number and Operatins in Base Ten Understand place value. Use place value understanding and prperties f peratins t add and subtract. Measure and estimate lengths in standard units. Relate additin and subtractin t length. Depth Opprtunities: OA 1, 2; NBT 1, 7; MD 5 Gemetry Reasn with shapes and their attributes. Wrk with time and mney. Represent and interpret data.

4 Operatins and Algebraic Represent and slve prblems invlving multiplicatin and divisin. Understand the prperties f multiplicatin and the relatinship between multiplicatin and divisin. Multiply and divide within Slve prblems invlving the fur peratins, and identify and explain patterns in arithmetic. Number and Operatins Fractins Develp understanding f fractins as numbers. Slve prblems invlving measurement and estimatin f intervals f time, liquid vlumes, and masses f bjects. Gemetric measurement: understand cncepts f area and relate area t multiplicatin and t additin. Depth Opprtunities: OA 3, 6; NF 3; MD 2, 7 Grade 3 Fcus Additinal Sample Number and Operatins in Base Ten Use place value understanding and figures and distinguish between linear and area measures. Gemetric measurement: recgnize perimeter as an attribute f plane figures and distinguish between linear and area measures. Represent and interpret data. (Opprtunity t link t multiplicatin and divisin prblem slving.) Reasn with shapes and their attributes. 1 Cluster cntains a fluency standard.

5 Operatins and Algebraic Use the fur peratins with whle numbers t slve prblems. Number and Operatins in Base Ten Generalize place value understanding fr multi-digit whle numbers. Use place value understanding and prperties f peratins t perfrm multi-digit arithmetic. 1 Number and Operatins Fractins Extend understanding f fractin equivalence and rdering. Build fractins frm unit fractins by applying and extending previus understandings f peratins n whle numbers. Understand decimal ntatin fr fractins, and cmpare decimal fractins. Depth Opprtunities: NBT 5, 6; NF 1, 3, 4 Grade 4 Fcus Additinal Sample Operatins and Algebraic Operatins and Algebraic 1 Cluster cntains a fluency standard. Gain familiarity with factrs and multiples. Slve prblems invlving measurement and cnversin f measurements frm a larger unit t a smaller unit. Gemetric measurement: understand cncepts f angle and measure angles. Draw and identify lines and angles, and classify shapes by prperties f their lines and angles. Generate and analyze patterns. Represent and interpret data.

6 Grade 5 Fcus Additinal Sample Number and Operatins in Base Ten Understand the place value system. Perfrm peratins with multi-digit whle numbers and with decimals t hundredths. 1 Number and Operatins Fractins Use equivalent fractins as a strategy t add and subtract fractins. Apply and extend previus understandings f multiplicatin and divisin t multiply and divide fractins. Cnvert like measurement units within a given measurement system. Gemetric measurement: understand cncepts f vlume and relate vlume t multiplicatin and t additin. Gemetry Graph pints n the crdinate plane t slve real-wrld and mathematical prblems. Classify tw-dimensinal figures int categries based n their prperties. Operatins and Algebraic Write and interpret numerical expressins. Analyze patterns and relatinships. Represent and interpret data. Depth Opprtunities: NBT 1, 6; NF 2, 4; MD 5 1 Cluster cntains a fluency standard.

7 Ratis and Prprtinal Relatinships Grade 6 Fcus Additinal Sample Understand rati cncepts and use rati reasning t slve prblems. The Number System Apply and extend previus understandings f multiplicatin and divisin t divide fractins by fractins. Apply and extend previus understandings f arithmetic t algebraic expressins. Expressins and Equatins Reasn abut and slve nevariable equatins and inequalities. Represent and analyze quantitative relatinships between dependent and independent variables. Depth Opprtunities: RP 3; NS 1; NS 8; EE 3, 7 The Number System Cmpute fluently with multidigit numbers and find cmmn factrs and multiples. 1 Apply and extend previus understandings f numbers t the system f ratinal numbers. Gemetry Slve real-wrld and mathematical prblems invlving area, surface area, and vlume. Statistics and Prbability Develp understanding f statistical variability. Summarize and describe distributins. 1 Cluster cntains a fluency standard.

8 Ratis and Prprtinal Relatinships Grade 7 Fcus Additinal Sample Analyze prprtinal relatinships and use them t slve real-wrld and mathematical prblems. The Number System Apply and extend previus understandings f peratins with fractins t add, subtract, multiply, and divide ratinal numbers. Expressins and Equatins Use prperties f peratins t generate equivalent expressins. Gemetry Slve real-life and mathematical prblems using numerical and algebraic expressins and equatins. 1 Depth Opprtunities: RP 2; NS 3; EE 3, 4; G 6 Expressins and Equatins Slve real-life and mathematical prblems invlving angle measure, area, surface area, and vlume. Gemetry Draw, cnstruct and describe gemetrical figures and describe the relatinships between them. Statistics and Prbability Use randm sampling t draw inferences abut a ppulatin. Statistics and Prbability Investigate chance prcesses and develp, use, and evaluate prbability mdels. Draw infrmal cmparative inferences abut tw ppulatins. 1 Cluster cntains a fluency standard.

9 Grade 8 Fcus Additinal Sample Expressins and Equatins Wrk with radicals and integer expnents. Expressins and Equatins Understand the cnnectins between prprtinal relatinships, lines, and linear equatins. Analyze and slve linear equatins and pairs f simultaneus linear equatins. 1 Functins Define, evaluate, and cmpare functins. Gemetry Understand and apply the Pythagrean Therem. Understand cngruence and similarity using physical mdels, transparencies, r gemetry sftware. Depth Opprtunities: EE 5, 7, 8; F 2; G 7 The Number System Knw that there are numbers that are nt ratinal, and apprximate them by ratinal numbers. Functins Use functins t mdel relatinships between quantities. Gemetry Slve real-wrld and mathematical prblems invlving vlume f cylinders, cnes, and spheres. Statistics and Prbability Investigate patterns f assciate in bivariate data. 1 Cluster cntains a fluency standard.

10 Quantities High Schl: Number and Quantity Fcus Additinal Sample Reasn quantitatively and use units t slve prblems. The Real Number System Extend the prperties f expnents t ratinal expnents. Depth Opprtunities: N NQ 1 The Cmplex Number System Perfrm arithmetic peratins with cmplex numbers. The Real Number System Use prperties f ratinal and irratinal numbers. The Cmplex Number System Represent cmplex numbers and their peratins n the cmplex plane. Use cmplex numbers in plynmial identities and equatins. Vectr and Matrix Quantities Represent and mdel with vectr quantities. Perfrm peratins n vectrs. Perfrm peratins n matrices and use matrices in applicatins.

11 High Schl: Algebra Fcus Additinal Sample Seeing the Structure in Expressins Interpret the structure f expressins. Write expressins in equivalent frms t slve prblems. Arithmetic with Plynmials and Ratinal Expressins Perfrm arithmetic peratins n plynmials. Understand the relatinship between zers and factrs f plynmials. Creating Equatins Create equatins that describe numbers r relatinships. Reasning with Equatins and Inequalities Understand slving equatins as a prcess f reasning and explain the reasning. Slve equatins and inequalities in ne variable. Slve systems f equatins. Depth Opprtunities: A SSE 2, 3; A APR 1; A CED 3; A REI 4 Arithmetic with Plynmials and Ratinal Expressins Rewrite ratinal expressins. Reasning with Equatins and Inequalities Represent and slve equatins and inequalities graphically. Arithmetic with Plynmials and Ratinal Expressins Use plynmial identities t slve prblems.

12 Interpreting Functins High Schl: Functins Fcus Additinal Sample Understand the cncept f a functin and understand functin ntatin. Interpret functins that arise in applicatins in terms f the cntext. Analyze functins using different representatins. Building Functins Build a functin that mdels a relatinship between tw quantities. Linear, Quadratic and Expnential Mdels Cnstruct and cmpare linear, quadratic, and expnential mdels and slve prblems. Interpret expressins fr functins in terms f the situatin they mdel. Depth Opprtunities: F-IF 4, 8, 9; F LE 1 Building Functins Build new functins frm existing functins. Trignmetric Functins Extend the dmain f trignmetric functins using the unit circle. Mdel peridic phenmena with trignmetric functins. Prve and apply trignmetric identities.

13 Cngruence High Schl: Gemetry Fcus Additinal Sample Prve gemetric therems. Expressing Gemetric Prperties with Equatins Use crdinates t prve simple therems algebraically. Similarity, Right Triangles, and Trignmetry Define trignmetric ratis and slve prblems invlving right triangles. Mdeling with Gemetry Apply gemetric cncepts in mdeling situatins. Depth Opprtunities: GPE 1, 4, 7; G MG 2 Cngruence Experiment with transfrmatins in the plane. Understand cngruence in terms f rigid mtins. Make gemetric cnstructins. Circles Understand and apply therems abut circles. Find arc lengths and areas f sectrs f circles. Similarity, Right Triangles, and Trignmetry Understand similarity in terms f similarity transfrmatins. Similarity, Right Triangles, and Trignmetry Prve therems invlving similarity. Apply trignmetry t general triangles. Gemetric Measurement and Dimensin Explain vlume frmulas and use them t slve prblems. Visualize relatinships between tw-dimensinal and three-dimensinal bjects. Expressing Gemetric Prperties with Equatins Translate between the gemetric descriptin and the equatin fr a cnic sectin. (Here because f circles.)

14 High Schl: Statistics and Prbability Fcus Additinal Sample Interpreting Categrical and Quantitative Data Summarize, represent, and interpret data n a single cunt r measurement variable. Summarize, represent, and interpret data n tw categrical and quantitative variables. Making Inferences and Justifying Cnclusins Make inferences and justify cnclusins frm sample surveys, experiments, and bservatinal studies. Depth Opprtunities: S ID 3, 5, 6, 9; S IC 3 Making Inferences and Justifying Cnclusins Understand and evaluate randm prcesses underlying statistical experiments. Interpreting Categrical and Quantitative Data Interpret linear mdels. Cnditinal Prbability and the Rules f Prbability Understand independence and cnditinal prbabilities f cmpund events in a unifrm prbability mdel. Use the rules f prbability t cmpute prbabilities f cmpund events in a unifrm prbability mdel. Using Prbability t Make Decisins Calculate expected values and use them t slve prblems. Use prbability t evaluate utcmes f decisins.