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1 Acronym or Term Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info: Common Core Terms General ALD Achievement Level Descriptors These articulate the knowledge, skills, & processes expected of students at different levels of performance on the Smarter Balanced assessments. http://www.smarterbalanced.org/ac hievementlevels/ APLU The Association of Public & Land Grant Universities A research, policy, & advocacy organization representing 239 public research universities, landgrant institutions, state university systems, & affiliated organizations. http://www.aplu.org/page.aspx?pid= 203 CBMS Conference Board of the Mathematical Sciences An umbrella organization consisting of 17 professional societies all of which have as one of their primary objectives the increase or diffusion of knowledge in one or more of the mathematical sciences. Its purpose is to promote understanding & cooperation among these national organizations so that they work together & support each other in their efforts to promote research, improve education, & expand the uses of mathematics. http://www.cbmsweb.org/ CGI Cognitively Guided Instruction A professional development program based on an integrated program of research on (a) the development of students' mathematical thinking; (b) instruction that influences that development; (c) teachers' knowledge & beliefs that influence their instructional practice; & (d) the way that teachers' knowledge, beliefs, & practices are influenced by their understanding of students' mathematical thinking. http://en.wikipedia.org/wiki/Cognitiv ely_Guided_Instruction CCR College & Career Readiness The content knowledge, skills, & habits that students must possess to be successful in postsecondary education or training that leads to a sustaining career. https://www.epiconline.org/Issues/c ollegecareer readiness/definition.dot CCR Anchor College & Career Readiness Anchor Define the literacy expectations for students entering college & careers & provide the foundation for the K12 http://www.cde.ca.gov/ci/cr/cf/docu ments/appendixesandreferences.pdf

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1  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

Common  Core  Terms  -­‐  General  ALD   Achievement  Level  

Descriptors  These  articulate  the  knowledge,  skills,  &  processes  expected  of  students  at  different  levels  of  performance  on  the  Smarter  Balanced  assessments.    

http://www.smarterbalanced.org/achievement-­‐levels/  

APLU   The  Association  of  Public  &  Land  Grant  Universities  

A  research,  policy,  &  advocacy  organization  representing  239  public  research  universities,  land-­‐grant  institutions,  state  university  systems,  &  affiliated  organizations.      

http://www.aplu.org/page.aspx?pid=203  

CBMS   Conference  Board  of  the  Mathematical  Sciences  

An  umbrella  organization  consisting  of  17  professional  societies  all  of  which  have  as  one  of  their  primary  objectives  the  increase  or  diffusion  of  knowledge  in  one  or  more  of  the  mathematical  sciences.  Its  purpose  is  to  promote  understanding  &  cooperation  among  these  national  organizations  so  that  they  work  together  &  support  each  other  in  their  efforts  to  promote  research,  improve  education,  &  expand  the  uses  of  mathematics.    

http://www.cbmsweb.org/  

CGI   Cognitively  Guided  Instruction  

A  professional  development  program  based  on  an  integrated  program  of  research  on  (a)  the  development  of  students'  mathematical  thinking;  (b)  instruction  that  influences  that  development;  (c)  teachers'  knowledge  &  beliefs  that  influence  their  instructional  practice;  &  (d)  the  way  that  teachers'  knowledge,  beliefs,  &  practices  are  influenced  by  their  understanding  of  students'  mathematical  thinking.  

http://en.wikipedia.org/wiki/Cognitively_Guided_Instruction  

CCR   College  &  Career  Readiness  

The  content  knowledge,  skills,  &  habits  that  students  must  possess  to  be  successful  in  postsecondary  education  or  training  that  leads  to  a  sustaining  career.    

https://www.epiconline.org/Issues/college-­‐career-­‐readiness/definition.dot  

CCR  Anchor  

College  &  Career  Readiness  Anchor  

Define  the  literacy  expectations  for  students  entering  college  &  careers  &  provide  the  foundation  for  the  K-­‐12  

http://www.cde.ca.gov/ci/cr/cf/documents/appendixesandreferences.pdf  

   

2  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

Standards   Standards   English  language  arts  standards.  They  are  essential  to  un-­‐derstanding  the  structure  &  cohesive  nature  of  the  CCSS.    

CCSS   Common  Core  State  Standards  

A  set  of  high  quality  academic  expectations  in  English-­‐language  arts  (ELA)  &  mathematics  that  define  the  knowledge  &  skills  all  students  should  master  by  the  end  of  each  grade  level  in  order  to  be  on  track  for  success  in  college  &  career.  

http://www.ccsso.org/Resources/Programs/The_Common_Core_State_Standards.html  

CCSSO   Council  of  Chief  State  School  Officers  

A  non-­‐partisan  non-­‐profit  organization  of  public  officials  who  head  departments  of  elementary  &  secondary  education  in  the  U.S.  states,  the  District  of  Columbia,  the  Department  of  Defense  Education  Activity  &  five  U.S.  territories.  

http://en.wikipedia.org/wiki/Council_of_Chief_State_School_Officers  

Cluster     Groups  of  related  standards  inside  domains   CA  CCSSM  DOK    

Depth  of  Knowledge   A  reference  to  the  complexity  of  mental  processing  that  must  occur  to  answer  a  question,  perform  a  task,  or  generate  a  product.  There  are  four  levels  as  developed  by  Webb:  1. Recall  and  Reproduction  2. Skills  and  Concepts  3. Strategic  Thinking,  Reasoning  4. Extended  Thinking    

http://www.google.com/search?q=Smarter+Balanced+Assessments&ie=utf-­‐8&oe=utf8&aq=t&rls=org.mozilla:  en-­‐US:official&client=firefox-­‐a&channel=fflb&gws_rd=ssl#safe=active&rls=org.mozilla:en-­‐US:official&channel=fflb&sout=1&q=depth+of+knowledge+definition  

Domain     Clusters  of  standards  that  address  “big  ideas”  &  support  connections  of  topics  across  the  grades  

CA  CCSSM  

NAEP   National  Assessment  of  Educational  Progress  

The  largest  continuing  &  nationally  representative  assessment  of  what  American  students  know  &  can  do  in  core  subjects.  

http://en.wikipedia.org/wiki/National_Assessment_of_Educational_Progress  

PARCC   Partnership  for  the  Assessment  of  Readiness  

A  Consortium  of  states  working  together  to  develop  assessments  for  CCSS  

http://www.parcconline.org/  

   

3  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

for  College  &  Career      SBAC   Smarter  Balanced  

Assessment  Consortium      A  consortium  of  states  working  together  to  develop  a  common  set  of  K  -­‐  12  assessments  for  CCSS  (California  belongs  to  this  consortium)  

http://www.smarterbalanced.org/smarter-­‐balanced-­‐assessments/  

SBAC  Terms  Claims   http://www.smarterbalanced.org/wordpress/wp-­‐

content/uploads/2012/09/Smarter-­‐Balanced-­‐Mathematics-­‐Claims.pdf  Overall  Claims  

Grades  3-­‐8   Students  can  demonstrate  progress  toward  college  and  career  readiness  in  mathematics  

 

  Grades  9  -­‐12   Students  can  demonstrate  college  and  career  readiness  in  mathematics  

 

  Claim  1   Concepts  and  Procedures:  Students  can  explain  and  apply  mathematical  concepts  and  carry  out  mathematical  procedures  with  precision  and  fluency.  

 

  Claim  2   Problem  Solving:  Students  can  solve  a  range  of  well-­‐posed  problems  in  pure  and  applied  mathematics,  making  productive  use  of  knowledge  and  problem-­‐solving  strategies.  

 

  Claim  3   Communicating  Reasoning:  Students  clearly  and  precisely  construct  viable  arguments  to  support  their  own  reasoning  and  to  critique  the  reasoning  of  others.  

 

  Claim  4   Modeling  and  Data  Analysis:  Students  can  analyze  complex,  real-­‐world  scenarios  and  can  construct  and  use  mathematical  models  to  interpret  and  solve  problems.  

 

CR   Constructed  Response  Item  

Prompt  students  to  produce  a  text  or  numerical  response  in  order  to  collect  evidence  about  their  knowledge  or  understanding  of  a  given  assessment  target.  

http://www.smarterbalanced.org/sample-­‐items-­‐and-­‐performance-­‐tasks/  

ER   Extended  Response  Item   Also  referred  to  as  an  essay  question.  An  extended   http://teaching.about.com/od/A-­‐

   

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Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

response  item  is  an  open-­‐ended  question  that  begins  with  some  type  of  prompt.  These  questions  allow  students  to  write  a  creative  response  that  arrives  at  a  conclusion  based  on  their  knowledge  of  the  topic.  An  extended  re-­‐sponse  item  takes  considerable  time  &  thought.  It  re-­‐quires  students  to  not  only  give  an  answer,  but  to  explain  the  answer  with  as  much  in-­‐depth  detail  as  possible..  

ITeachingGlossary/g/Extended-­‐Response-­‐Item.htm  

PT   Performance  Task  Item   Measure  a  student’s  ability  to  integrate  knowledge  &  skills  across  multiple  standards—a  key  component  of  college  &  career  readiness.  Performance  tasks  will  be  used  to  better  measure  capacities  such  as  depth  of  understanding,  research  skills,  &  complex  analysis,  which  cannot  be  adequately  assessed  with  selected-­‐  or  constructed-­‐response  items.    

http://www.smarterbalanced.org/sample-­‐items-­‐and-­‐performance-­‐tasks/  

SR   Selected  Response  Item   Prompt  students  to  select  one  or  more  responses  for  a  set  of  options.  

http://www.smarterbalanced.org/sample-­‐items-­‐and-­‐performance-­‐tasks/  

TE   Technology  Enhanced  Item  

Take  advantage  of  computer-­‐based  administration  to  assess  a  deeper  understanding  of  content  &  skills  than  would  otherwise  be  possible  with  traditional  item  types.  Technology-­‐enhanced  items  capitalize  on  technology  to  collect  evidence  through  a  non-­‐traditional  response  type,  such  as  editing  text  or  drawing  an  object.    

http://www.smarterbalanced.org/sample-­‐items-­‐and-­‐performance-­‐tasks/  

CC  Literacy  across  Disciplines  RST   Reading  Science  &  

Technical  Subjects  Just  as  students  must  learn  to  read,  write,  speak,  listen,  &  use  language  effectively  in  a  variety  of  content  areas,  so  too  must  the  Standards  specify  the  literacy  skills  &  understandings  required  for  college  &  career  readiness  in  multiple  disciplines.  Literacy  standards  for  grade  6  &  

http://www.cde.ca.gov/be/st/ss/documents/finalelaccssstandards.pdf    page  2  

WHST   Writing  History,  Science  &  Technical  Subjects  

   

5  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

above  are  based  on  the  expectation  that  teachers  of  ELA,  history/social  studies,  science,  &  technical  subjects  use  their  expertise  to  help  students  meet  the  particular  challenges  of  reading,  writing,  speaking,  listening,  &  language  in  those  content  areas.  It  is  important  to  note    that  the  grades  6–12  literacy  standards  in  history/social  studies,  science,  &  technical  subjects  are  not  meant  to  replace  content  standards  in  those  areas  but  rather  to  supplement  them.  States  may  incorporate  these  standards  into  their  standards  for  those  subjects  or  adopt  them  as  literacy  standards  in  content  areas.    

Common  Core  Mathematics  K-­‐8  Acronyms                Domains  &  Clusters  K-­‐8:    Info  from  Progressions  Documents:    http://ime.math.arizona.edu/progressions/  CC   Counting  &  Cardinality   Counting  &  Cardinality  underlies  Operations  &  Algebraic  

Thinking  as  well  as  Number  &  Operations  in  Base  Ten.  It  begins  with  early  counting  &  telling  how  many  in  one  group  of  objects.  Addition,  subtraction,  multiplication,  &  division  grow  from  these  early  roots.  This  Progression  involves  important  ideas  that  are  neither  trivial  nor  obvious;  these  ideas  need  to  be  taught,  in  ways  that  are  interesting  &  engaging  to  young  students.  

http://commoncoretools.files.wordpress.com/2011/05/ccss_progression_cc_oa_k5_2011_05_302.pdf    page  2  

OA   Operations  &  Algebraic  Thinking  

The  Progression  in  Operations  &  Algebraic  Thinking  deals  with  the  basic  operations—the  kinds  of  quantitative  relationships  they  model  &  consequently  the  kinds  of  problems  they  can  be  used  to  solve  as  well  as  their  mathematical  properties  &  relationships.  Although  most  of  the  standards  organized  under  the  OA  heading  involve  whole  numbers,  the  importance  of  the  

http://commoncoretools.files.wordpress.com/2011/05/ccss_progression_cc_oa_k5_2011_05_302.pdf    page  2  

   

6  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

Progression  is  much  more  general  because  it  describes  concepts,  properties,  &  representations  that  extend  to  other  number  systems,  to  measures,  &  to  algebra.  

NBT   Numbers    &  Operation  in  Base  Ten  

Students’  work  in  the  base-­‐ten  system  is  intertwined  with  their  work  on  counting  &  cardinality,  &  with  the  meanings  &  properties  of  addition,  subtraction,  multiplication,  &  division.  Work  in  the  base-­‐ten  system  relies  on  these  meanings  &  properties,  but  also  contributes  to  deepening  students’  understanding  of  them.  

http://commoncoretools.me/wp-­‐content/uploads/2011/04/ccss_progression_nbt_2011_04_073_corrected2.pdf    page  1  

NF   Numbers  &  Operations  Fractions  

The  meaning  of  fractions  In  Grades  1  &  2,  students  use  fraction  language  to  describe  partitions  of  shapes  into  equal  shares.2.G.3  In  Grade  3  they  start  to  develop  the  idea  of  a  fraction  more  formally,  building  on  the  idea  of  partitioning  a  whole  into  equal  parts.  The  whole  can  be  a  shape  such  as  a  circle  or  rectangle,  a  line  segment,  or  any  one  finite  entity  susceptible  to  subdivision  &  measure-­‐ment.  In  Grade  4,  this  is  extended  to  include  wholes  that  are  collections  of  objects.  

http://commoncoretools.me/wp-­‐content/uploads/2011/08/ccss_progression_nf_35_2013_09_19.pdf    page  3  

MD   Measurement  &  Data   Measurement:  Geometric  measurement  connects  the  two  most  critical  domains  of  early  mathematics,  geometry  &  number,  with  each  providing  conceptual  support  to  the  other.  Measurement  is  central  to  mathematics,  to  other  areas  of  mathematics  (e.g.,  laying  a  sensory  &  conceptual  foundation  for  arithmetic  with  fractions),  to  other  subject  matter  domains,  especially  science,  &  to  activities  in  everyday  life.  For  these  reasons,  measurement  is  a  core  component  of  the  mathematics  curriculum.  

http://commoncoretools.files.wordpress.com/2012/07/ccss_progression_gm_k5_2012_07_21.pdf    page  2  

Data:  As  students  work  with  data  in  Grades  K–5,  they  build   http://commoncoretools.files.wordp

   

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Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

foundations  for  their  study  of  statistics  &  probability  in  Grades  6  &  beyond,  &  they  strengthen  &  apply  what  they  are  learning  in  arithmetic.  Kindergarten  work  with  data  uses  counting  &  order  relations.  First-­‐  &  second-­‐graders  solve  addition  &  subtraction  problems  in  a  data  context.  In  Grades  3–5,  work  with  data  is  closely  related  to  the  number  line,  fraction  concepts,  fraction  arithmetic,  &  solving  problems  that  involve  the  four  operations.    

ress.com/2011/06/ccss_progression_md_k5_2011_06_20.pdf    page  2  

G   Geometry   Geometric  &  spatial  thinking  are  important  in  &  of  themselves,  because  they  connect  mathematics  with  the  physical  world,  &  play  an  important  role  in  modeling  phenomena  whose  origins  are  not  necessarily  physical,  e.g.,  as  networks  or  graphs.  They  are  also  important  because  they  support  the  development  of  number  &  arithmetic  concepts  &  skills.  Thus,  geometry  is  essential  for  all  grade  levels  for  many  reasons:  its  mathematical  content,  its  roles  in  physical  sciences,  engineering,  &  many  other  subjects,  &  its  strong  aesthetic  connections.  This  progression  discusses  the  most  important  goals  for  elementary  geometry  according  to  three  categories.  � Geometric  shapes,  their  components  (e.g.,  sides,  

angles,  faces),  their  properties,  &  their  categorization  based  on  those  properties.  

� Composing  &  decomposing  geometric  shapes.  � Spatial  relations  &  spatial  structuring.  

http://commoncoretools.files.wordpress.com/2012/06/ccss_progression_g_k6_2012_06_27.pdf    page  2  

RP   Ratio  &  Proportional  Relations  

The  study  of  ratios  &  proportional  relationships  extends  students’  work  in  measurement  &  in  multiplication  &  division  in  the  elementary  grades.  Ratios  &  proportional  

http://commoncoretools.files.wordpress.com/2012/02/ccss_progression_rp_67_2011_11_12_corrected.pdf  

   

8  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

relationships  are  foundational  for  further  study  in  mathematics  &  science  &  useful  in  everyday  life.  Students  use  ratios  in  geometry  &  in  algebra  when  they  study  similar  figures  &  slopes  of  lines,  &  later  when  they  study  sine,  cosine,  tangent,  &  other  trigonometric  ratios  in  high  school.  Students  use  ratios  when  they  work  with  situations  involving  constant  rates  of  change,  &  later  in  calculus  when  they  work  with  average  &  instantaneous  rates  of  change  of  functions.  An  understanding  of  ratio  is  essential  in  the  sciences  to  make  sense  of  quantities  that  involve  derived  attributes  such  as  speed,  acceleration,  density,  surface  tension,  electric  or  magnetic  field  strength,  &  to  understand  percentages  &  ratios  used  in  describing  chemical  solutions.  Ratios  &  percentages  are  also  useful  in  many  situations  in  daily  life,  such  as  in  cooking  &  in  calculating  tips,  miles  per  gallon,  taxes,  &  discounts.  They  also  are  also  involved  in  a  variety  of  descriptive  statistics,  including  demographic,  economic,  medical,  meteorological,  &  agricultural  statistics  (e.g.,  birth  rate,  per  capita  income,  body  mass  index,  rain  fall,  &  crop  yield)  &  underlie  a  variety  of  measures,  e.g.,  in  finance  (exchange  rate),  medicine  (dose  for  a  given  body  weight),  &  technology  (kilobits  per  second).  

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NS   The  Number  System   In  Grades  6–8,  students  build  on  two  important  concept-­‐tions  which  have  developed  throughout  K–5,  in  order  to  understand  the  rational  numbers  as  a  number  system.  The  first  is  the  representation  of  whole  numbers  &  fractions  as  points  on  the  number  line,  &  the  second  is  a  firm  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccssm_progression_NS+Number_2013-­‐07-­‐09.pdf    

   

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Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

understanding  of  the  properties  of  operations  on  whole  numbers  &  fractions.  

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EE   Expressions  &  Equations   Mathematical  expressions  express  calculations  with  numbers.  Some  of  the  numbers  might  be  given  explicitly,  like  2  or  3/4  .  Other  numbers  in  the  expression  might  be  represented  by  letters,  such  as  x,  y,  P,  or  n.  The  calculation  an  expression  represents  might  use  only  a  single  opera-­‐tion,  as  in  4  +  3  or  3x,  or  it  might  use  a  series  of  nested  or  parallel  operations,  as  in  3(a  +    9)q    -­‐  9/b.  An  expression  can  consist  of  just  a  single  number,  even  0.  

http://commoncoretools.files.wordpress.com/2011/04/ccss_progression_ee_2011_04_25.pdf    page  2  

SP   Statistics  &  Probability   In  Grade  6,  students  build  on  the  knowledge  &  experi-­‐ences  in  data  analysis  developed  in  earlier  grades.  They  develop  a  deeper  understanding  of  variability  &  more  precise  descriptions  of  data  distributions,  using  numerical  measures  of  center  &  spread,  &  terms  such  as  cluster,  peak,  gap,  symmetry,  skew,  &  outlier.  They  begin  to  use  histograms  &  box  plots  to  represent  &  analyze  data  distributions.  As  in  earlier  grades,  students  view  statistical  reasoning  as  a  four-­‐step  investigative  process:  � Formulate  questions  that  can  be  answered  with  data  � Design  &  use  a  plan  to  collect  relevant  data  � Analyze  the  data  with  appropriate  methods  � Interpret  results  &  draw  valid  conclusions  from  the  data  

that  relate  to  the  questions  posed.  In  Grade  7,  students  move  from  concentrating  on  analysis  of  data  to  production  of  data,  understanding  that  good  answers  to  statistical  questions  depend  upon  a  good  plan  for  collecting  data  relevant  to  the  questions  of  interest.  

http://commoncoretools.files.wordpress.com/2011/12/ccss_progression_sp_68_2011_12_26_bis.pdf    page  2  

   

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Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

Because  statistically  sound  data  production  is  based  on  random  sampling,  a  probabilistic  concept,  students  must  develop  some  knowledge  of  probability  before  launching  into  sampling.  Their  introduction  to  probability  is  based  on  seeing  probabilities  of  chance  events  as  long-­‐run  relative  frequencies  of  their  occurrence,  &  many  opportunities  to  develop  the  connection  between  theoretical  probability  models  &  empirical  probability  approximations.  This  connection  forms  the  basis  of  statistical  inference.  Eighth  graders  apply  their  experience  with  the  coordinate  plane  &  linear  functions  in  the  study  of  association  between  two  variables  related  to  a  question  of  interest.  As  in  the  univariate  case,  analysis  of  bivariate  measurement  data  graphed  on  a  scatterplot  proceeds  by  describing  shape,  center,  &  spread.  But  now  “shape”  refers  to  a  cloud  of  points  on  a  plane,  “center”  refers  to  a  line  drawn  through  the  cloud  that  captures  the  essence  of  its  shape,  &  “spread”  refers  to  how  far  the  data  points  stray  from  this  central  line.  Students  extend  their  understanding  of  “cluster”  &  “outlier”  from  univariate  data  to  bivariate  data.  They  summarize  bivariate  categorical  data  using  two-­‐way  tables  of  counts  and/or  proportions,  &  examine  these  for  patterns  of  association.  

F   Functions   Functions  describe  situations  in  which  one  quantity  is  determined  by  another.  The  area  of  a  circle,  e.g.,  is  a  function  of  its  radius.  When  describing  relationships  between  quantities,  the  defining  characteristic  of  a  function  is  that  the  input  value  determines  the  output  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccss_progression_functions_2013_07_02.pdf    page  4  

   

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Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

value  or,  equivalently,  that  the  output  value  depends  upon  the  input  value.    Since  the  elementary  grades,  students  have  been  describing  patterns  &  expressing  relationships  between  quantities.  These  ideas  become  semi-­‐formal  in  Grade  8  with  the  introduction  of  the  concept  of  function:  a  rule  that  assigns  to  each  input  exactly  one  output.8.F.1    Building  on  their  earlier  experiences  with  graphs  &  tables  in  Grades  6  &  7,  students  a  routine  of  exploring  functional  relationships  algebraically,  graphically,  numerically  in  tables,  &  through  verbal  descriptions.8.F.2    

Domains  &  Clusters  9-­‐12:    Info  from  Progressions  Documents:    http://ime.math.arizona.edu/progressions/  Number  &  Quantity  N-­‐RN   The  Real  Number  System   In  Grades  6–8  students  began  to  widen  the  possible  types  

of  number  they  can  conceptualize  on  the  number  line.  In  Grade  8  they  glimpse  the  existence  of  irrational  numbers  such  as  √2.  In  high  school,  they  start  a  systematic  study  of  functions  that  can  take  on  irrational  values,  such  as  f(x)  =  x2  exponential,  logarithmic,  &  power  functions.    

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccssm_progression_NS+Number_2013-­‐07-­‐09.pdf    page    9  

N-­‐Q   Quantities     There  is  no  progression  document  on  this  topic  

N-­‐CN   The  Complex  Number  System  

That  complex  numbers  have  a  practical  application  is  surprising  to  many.  But  it  turns  out  that  many  phenomena  involving  real  numbers  become  simpler  when  the  real  numbers  are  viewed  as  a  subsytem  of  the  complex  numbers.  E.g.,  complex  solutions  of  differential  equations  can  give  a  unified  picture  of  the  behavior  of  real  solutions.  Students  get  a  glimpse  of  this  when  they  study  complex  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccssm_progression_NS+Number_2013-­‐07-­‐09.pdf    page  18  

   

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Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

solutions  of  quadratic  equations.  When  complex  numbers  are  brought  into  the  picture,  every  quadratic  polynomial  can  be  expressed  as  a  product  of  linear  factors.  

N-­‐VM   Vector  &  Matrix  Quantities  

  There  is  no  progression  document  on  this  topic  

Algebra      OA-­‐SSE       Seeing  Structure  in  

Equations  Students  have  been  seeing  expressions  since  Kindergar-­‐ten,  starting  with  arithmetic  expressions  in  Grades  K–5  &  moving  on  to  algebraic  expressions  in  Grades  6–8.  The  middle  grades  standards  in  Expression  &  Equations  build  a  ramp  from  arithmetic  expressions  in  elementary  school  to  more  sophisticated  work  with  algebraic  expressions  in  high  school.  As  the  complexity  of  expressions  increases,  students  continue  to  see  them  as  being  built  out  of  basic  operations:  they  see  expressions  as  sums  of  terms  &  products  of  factors.A-­‐SSE.1a  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccss_progression_algebra_2013_07_03.pdf    page  4  

A-­‐APR       Arithmetic  with  Polynomials  &  Rational  Expressions  

Students  learn  to  use  the  properties  of  operations  to  write  expressions  in  different  but  equivalent  forms.  At  some  point  they  see  equivalent  expressions,  particularly  poly-­‐nomial  &  rational  expressions,  as  naming  some  underlying  thing.A-­‐APR.1  There  are  at  least  two  ways  this  can  go.  If  the  function  concept  is  developed  before  or  con-­‐currently  with  the  study  of  polynomials,  then  a  polynomial  can  be  identified  with  the  function  it  defines.  Another  approach  is  to  think  of  polynomials  as  elements  of  a  formal  number  system,  in  which  you  introduce  the  “number”  x  &  see  what  numbers  you  can  write  down  with  it.    Each  approach  has  its  advantages  &  disadvantages;  the  former  approach  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccss_progression_algebra_2013_07_03.pdf    page  7  

   

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Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

is  more  common.  Whichever  are  chosen  &  whether  or  not  the  choice  is  explicitly  stated,  a  curricular  implementation  should  nonetheless  be  constructed  to  be  consistent  with  the  choice  that  has  been  made.  Either  way,  polynomials  &  rational  expressions  come  to  form  a  system  in  which  they  can  be  added,  subtracted,  multiplied  anddivided.A-­‐APR.7  Polynomials  are  analogous  to  the  integers;  rational  expressions  are  analogous  to  the  rational  numbers  

A-­‐CED       Creating  Equations   Students  have  been  seeing  &  writing  equations  since  elementary  grades,  with  mostly  linear  equations  in  middle  grades.  At  first  glance  it  might  seem  that  the  progression  from  middle  grades  to  high  school  is  fairly  straightforward:  the  repertoire  of  functions  that  is  acquired  during  high  school  allows  students  to  create  more  complex  equations,  including  equations  arising  from  linear  &  quadratic  ex-­‐pressions,  &  simple  rational  &  exponential  expressions;A-­‐CED.1  students  are  no  longer  limited  largely  to  linear  equations  in  modeling  relationships  between  quantities  with  equations  in  two  variables;A-­‐CED.2  &  students  start  to  work  with  inequalities  &  systems  of  equations.  A-­‐CED.3  Two  developments  in  high  school  complicate  this  picture.  First,  students  in  high  school  start  using  parameters  in  their  equations,  to  represent  whole  classes  of  equations  F-­‐LE.5  or  to  represent  situations  where  the  equation  is  to  be  adjusted  to  fit  data.  Second,  modeling  becomes  a  major  objective  in  high  school.  Two  of  the  standards  just  cited  refer  to  “solving  problems”  &  “interpreting  solutions  in  a  modeling  context.”  &  all  the  standards  in  the  Creating  

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Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

Equations  group  carry  a  modeling  star,  denoting  their  connection  with  the  Modeling  category  in  high  school.  This  connotes  not  only  an  increase  in  the  complexity  of  the  equations  studied,  but  an  upgrade  of  the  student’s  ability  in  every  part  of  the  modeling  cycle.  

A-­‐REI       Reasoning  with  Equations  &  Inequalities  

A  written  sequence  of  steps  to  solve  an  equation  is  code  for  a  narrative  line  of  reasoning  using  words  like  “if,”  “then,”  “for  all,”  &  “there  exists.”  In  the  process  of  learning  to  solve  equations,  students  learn  certain  stan-­‐dard  “if–then”  moves,  e.g.,  “if  x  =  y  then  x  +  2  =  y  +  2.    The  danger  in  learning  algebra  is  that  students  emerge  with  nothing  but  the  moves,  which  may  make  it  difficult  to  detect  incorrect  or  made-­‐up  moves  later  on.  Thus  the  first  requirement  in  the  standards  in  this  domain  is  that  students  understand  that  solving  equations  is  a  process  of  reasoning.A-­‐REI.1  This  does  not  necessarily  mean  that  they  always  write  out  the  full  text;  part  of  the  advantage  of  algebraic  notation  is  its  compactness.  Once  students  know  what  the  code  stands  for,  they  can  start  writing  in  code.  Thus,  eventually  students  might  go  from  without  intermediate  steps.  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccss_progression_algebra_2013_07_03.pdf    page  13  

Functions        F-­‐IF       Interpreting  Functions   Building  on  semi-­‐formal  notions  of  functions  from  Grade  

8,  students  in  high  school  begin  to  use  formal  notation  &  language  for  functions.  Now  the  input/output  relationship  is  a  correspondence  between  two  sets:  the  domain  &  the  range.F-­‐IF.1  The  domain  is  the  set  of  input  values,  &  the  range  is  the  set  of  output  values.  A  key  advantage  of  

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Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

function  notation  is  that  the  correspondence  is  built  into  the  notation.  

F-­‐BF       Building  Functions   The  Building  Functions  group  focuses  on  building  functions  to  model  relationships,  &  building  new  functions  from  existing  functions  This  cluster  of  standards  is  very  closely  related  to  the  algebra  standard  on  writing  equations  in  two  variables.  A-­‐CED.2  Indeed,  that  algebra  standard  might  well  be  met  by  a  curriculum  in  the  same  unit  as  this  cluster.  Although  students  will  eventually  study  various  families  of  functions,  it  is  useful  for  them  to  have  experiences  of  building  functions  from  scratch,  without  the  aid  of  a  host  of  special  recipes,  by  grappling  with  a  concrete  context  for  clues.F-­‐BF.1a  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccss_progression_functions_2013_07_02.pdf    page  11  

F-­‐LE       Linear,  Quadratic  &  Exponential  Models  

Construct  &  compare  linear  &  exponential  models  &  solve  problems  involves  distinguishing  between  situations  that  can  be  modeled  with  linear  functions  &  with  exponential  functions  F-­‐LE.1a  &  turns  on  understanding  their  rates  of  growth  &  looking  for  indications  of  these  types  of  growth  rates  (MP.7).  One  indicator  of  these  growth  rates  is  differences  over  equal  intervals,  given,  e.g.,  in  a  table  of  values  drawn  from  the  situation—with  the  understanding  that  such  a  table  may  only  approximate  the  situation  (MP.4).  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccss_progression_functions_2013_07_02.pdf    page  16  

F-­‐TF       Trigonometric  Functions   Students  begin  their  study  of  trigonometry  with  right  triangles.  G-­‐SRT.6  Right  triangle  trigonometry  is  concerned  with  ratios  of  sides  of  right  triangles,  allowing  functions  of  angle  measures  to  be  defined  in  terms  of  these  ratios.  This  limits  the  angles  considered  to  those  between  0°  &  90°  In  this  progression  the  following  ideas  are  added  to  the  

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Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

notion  of  trigonometry:  � Extend  the  domain  of  trigonometric  functions  using  the  

unit  circle  � Model  periodic  phenomena  with  trigonometric  

functions  � Prove  &  apply  trigonometric  identities  

Geometry     There  is  no  progression  document  on  this  topic  

G-­‐CO   Congruence      G-­‐SRT       Similarity,  Right  

Triangles,  &  Trigonometry  

   

G-­‐C       Circles      G-­‐  GPE       Expressing  Geometric  

Properties  with  Equations  

   

G-­‐GMD       Geometric  Measurement  &  Dimension  

   

G-­‐MG       Modeling  with  Geometry      Statistics  &  Probability      S-­‐ID       Interpreting  

Categorical  &  Quantitative  Data  

Students  build  on  the  understanding  of  key  ideas  for  describing  distributions—shape,  center,  &  spread—de-­‐scribed  in  the  Grades  6-­‐8  Statistics  &  Probability  Progression.  This  enhanced  understanding  allows  them  to  give  more  precise  answers  to  deeper  questions,  often  involving  comparisons  of  data  sets.  Students  use  shape  &  the  question(s)  to  be  answered  to  decide  on  the  median  or  mean  as  the  more  appropriate  measure  of  center  &  to  

http://commoncoretools.me/wp-­‐content/uploads/2012/06/ccss_progression_sp_hs_2012_04_21_bis.pdf    page  3  

   

17  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

justify  their  choice  through  statistical  reasoning.  They  also  add  a  key  measure  of  variation  to  their  toolkits  

S-­‐IC       Making  Inferences  &  Justifying  Conclusions  

Students  move  beyond  analyzing  data  to  making  sound  statistical  decisions  based  on  probability  models.  The  reasoning  process  is  as  follows:  develop  a  statistical  question  in  the  form  of  a  hypothesis  (supposition)  about  a  population  parameter;  choose  a  probability  model  for  collecting  data  relevant  to  that  parameter;  collect  data;  compare  the  results  seen  in  the  data  with  what  is  expected  under  the  hypothesis.  If  the  observed  results  are  far  away  from  what  is  expected  &  have  a  low  probability  of  occurring  under  the  hypothesis,  then  that  hypothesis  is  called  into  question.  In  other  words,  the  evidence  against  the  hypothesis  is  weighed  by  probability.  S-­‐IC.1  

http://commoncoretools.me/wp-­‐content/uploads/2012/06/ccss_progression_sp_hs_2012_04_21_bis.pdf    page  8  

S-­‐CP       Conditional  Probability  &  Rules  of  Probability  

In  high  school,  the  relative  frequency  approach  to  probability  is  extended  to  conditional  probability  &  independence,  rules  of  probability  &  their  use  in  finding  probabilities  of  compound  events,  &  the  use  of  probability  distributions  to  solve  problems  involving  expected  value.  As  seen  in  the  making  inferences  section  above,  there  is  a  strong  connection  between  statistics  &  probability.  This  will  be  seen  again  in  this  section  with  the  use  of  data  in  selecting  values  for  probability  models.  

http://commoncoretools.me/wp-­‐content/uploads/2012/06/ccss_progression_sp_hs_2012_04_21_bis.pdf    page  13  

S-­‐MD       Using  Probability  to  Make  Decisions  

As  students  gain  experience  with  probability  problems  that  deal  with  listing  &  counting  outcomes,  they  will  come  to  realize  that,  most  often,  applied  problems  concern  some  numerical  quantity  of  interest  rather  than  a  description  of  the  outcomes  themselves.  Students  should  

http://commoncoretools.me/wp-­‐content/uploads/2012/06/ccss_progression_sp_hs_2012_04_21_bis.pdf    page  18  

   

18  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

understand  that  probabilities  &  expected  values  must  be  thought  of  as  long-­‐term  relative  frequencies  &  means,  &  consider  the  implications  of  that  view  in  decision  making.    

Modeling   Modeling  in  High  School   In  high  school,  modeling  involves  a  way  of  thought  differ-­‐rent  from  what  students  are  taught  when  they  learn  much  of  the  core  K–8  mathematics.  It  provides  experience  in  approaching  problems  that  are  not  precisely  formulated  &  for  which  there  is  not  necessarily  a  single  “correct"  an-­‐swer.  Deciding  what  is  left  out  of  a  model  can  be  as  impor-­‐tant  as  deciding  what  is  put  in.  Judgment,  approximation,  &  critical  thinking  enter  into  the  process.  Modeling  can  have  differing  goals  depending  on  the  situation—some-­‐times  the  aim  is  quantitative  prediction,  e.g.,  in  weather  modeling,  &  sometimes  the  aim  is  to  create  a  simple  model  that  captures  some  qualitative  aspect  of  the  system  with  a  goal  of  better  understanding  the  system,  e.g.  modeling  the  cyclic  nature  of  predator-­‐prey  populations  

http://commoncoretools.me/wp-­‐content/uploads/2013/07/ccss_progression_modeling_2013_07_04.pdf    page  6  

Illustrative  Mathematics  Project   A  community  of  educators  dedicated  to  the  coherent  learning  of  mathematics.  They  share  carefully  vetted  resources  for  teachers  &  teacher  leaders  to  give  our  children  an  understanding  of  mathematics  &  skill  in  using  it.  They  provide  expert  guidance  to  states  &  districts  working  to  improve  mathematics  education.  

http://illustrativemathematics.org/  

Inside  Mathematics   Provides  a  resource  for  educators  around  the  world  who  struggle  to  provide  the  best  mathematics  instruction  they  can  for  their  students.  Too  often,  teachers  who  excel  at  reaching  students  have  few  ways  of  sharing  these  strong  practices  with  others  –  &  teachers  who  struggle,  struggle  

www.insidemathematics.org/.  

   

19  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

alone.  Our  classroom  doors  have  remained  closed  too  often  &  for  too  long.  

MARS  Tasks  

Mathematics  Assessment  Resource  Service  Tasks  

The  Mathematics  Assessment  Resource  Service  (MARS),  a  project  of  UC  Berkeley,  Michigan  State,  &  the  Shell  Centre  in  Nottingham  England  designed  these  formative  performance  assessment  tasks.  

https://www.scoe.org/pub/htdocs/ccss-­‐mathematics.html  http://mathshell.org/ba_mars.htm    

MTEP   Mathematics  Teacher  Education  Preparation  

This  partnership  provides  a  coordinated  research,  development,  &  implementation  effort  for  secondary  mathematics  teacher  preparation  programs  in  order  to  meet  the  challenges  of  the  Common  Core  State  Standards  for  Mathematics  &  to  embody  research  &  best  practices  in  the  field.  

http://www.aplu.org/mtep  

NCSM  Great  Tasks   This  project  is  a  collection  of  tasks  to  support  implementation  of  the  CCSS.    

http://www.mathedleadership.org/ccss/greattasks.html  

Progressions   Funded  by  the  Brookhill  Foundation,  This  project  is  organizing  the  writing  of  final  versions  of  the  progressions  documents  for  the  K–12  Mathematics  Common  Core  State  Standards.  

http://ime.math.arizona.edu/progressions/  

SMP   SMP  –  Standards  for  Mathematical  Practice    

Describe  varieties  of  expertise  that  mathematics  educators  at  all  levels  should  seek  to  develop  in  their  students.  

http://www.corestandards.org/Math/Practice/  

Organizations  that  support  Mathematics  Education  

AMTE   Association  of  Mathematics  Teacher  Educators  

Organization  dedicated  to  the  improvement  of  mathematics  teacher  education.  

http://www.camte.org/  

CAMTE   California  Association  of  Mathematics  Teacher  

Organization  dedicated  to  serving  those  who  provide  professional  development  and  or  preservice  education  to  

http://www.camte.org/  

   

20  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

Educators   K-­‐12  mathematics  teachers  in  California.  NCTM   National  Council  of  

Teachers  of  Mathematics  The  public  voice  of  mathematics  education,  supporting  teachers  to  ensure  equitable  mathematics  learning  of  the  highest  quality  for  all  students  through  vision,  leadership,  professional  development,  and  research  

http://www.nctm.org/  

NCSM   National  Council  of  Supervisors  of  Mathematics  

Mathematics  leadership  organization  for  educational  leaders  providing  professional  learning  opportunities  necessary  to  support  and  sustain  improved  student  achievement.  

http://www.mathedleadership.org/  

TODOS   TODOS:  Mathematics  for  All  

A  Mathematics  education  association  that  advocates  for  equity  and  high  quality  mathematics  education  for  all  students—  in  particular,  Latina/o  students.    

http://www.todos-­‐math.org/  

CMC3   California  Math  Council-­‐Community  Colleges  

Organization  that  serves  the  needs  of  California  Community  College  math  educators  in  Northern  and  Central  California.  

http://www.cmc3.org/  

CMC3-­‐S   California  Math  Council-­‐Community  Colleges-­‐South  

Organization  that  serves  the  needs  of  California  Community  College  math  educators  in  Southern  California.  

 

CMC   California  Mathematics  Council    

Organization  committed  to  improving  mathematics  learning  in  the  private  and  public  classrooms  throughout  California.  

http://cmc-­‐math.org/  

CMC-­‐S   California  Mathematics  Council-­‐South  

So  Cal's  organization  for  pre-­‐K  to  grade  16  Mathematics  Educators,  the  California  Mathematics  Council  -­‐  South.    A  non-­‐profit,  all  volunteer  organization  that  serves  to  improve  mathematics  teaching  and  learning  in  public,  charter  and  private  school  settings  across  eight  counties  (Santa  Barbara,  Ventura,  Los  Angeles,  Orange,  Riverside,  San  Bernardino,  Imperial,  and  San  Diego).        

http://www.cmc-­‐south.org/  

   

21  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

CMC-­‐S  Affiliates  AVMC   Antelope  Valley  Math  

Council  Organization  serving  mathematics  educators  in  the  Antelope  Valley.    

https://www.facebook.com/pages/Antelope-­‐Valley-­‐Mathematics-­‐Council/168634636493172  

GSDMC   Greater  San  Diego  Math  Council,  

Organization  serving  mathematics  educators  in  San  Diego  County.  

http://www.gsdmc.org/  

GLAMC   Greater  Los  Angeles  Mathematics  Council  

Organization  serving  mathematics  educators  San  in  the  Greater  Los  Angeles  area.    

http://glamc.org/  

ICMC   Imperial  County  Math  Council  

Organization  serving  mathematics  educators  in  the  Imperial  County  area.  

http://imperialcmc.weebly.com/index.html  

OCMC   Orange  County  Math  Council  

Organization  serving  mathematics  educators  in  the  Orange  County  area.  

http://www.ocmathcouncil.com/  

RSBMTA   Riverside  San  Bernardino  Math  Teachers  Association  

Organization  serving  mathematics  educators  in  both  the  Riverside  and  San  Bernardino  County  areas.  

http://cmc-­‐math.org/organization/affiliates/RSBCMTA/default.html  

SGVMC   San  Gabriel  Valley  Math  Council  

Organization  serving  mathematics  educators  in  the  San  Gabriel  Valley  area.  

http://mysgvmc.weebly.com/  

VCMC   Ventura  County  Math  Council  

Organization  serving  mathematics  educators  in  the  Ventura  County  area.  

http://www.vcmc.org/    

CMC-­‐C  and  Affiliates  CMC-­‐C   California  Mathematics  

Council  Central  The  Central  Section  serves  educators  from  Paso  Robles  through  the  Central  Valley  of  California  to  the  Nevada  border  and  south  to  Santa  Barbara.  

http://cmc-­‐math.org/cmc-­‐organization/cmc-­‐central/cmc-­‐central-­‐home/  

  Bakersfield  Math  Council   Organization  serving  mathematics  educators  in  the  Kern  County  area.  

 

  P-­‐16  Math  Council,  San  Luis  Obispo  

Organization  serving  mathematics  educators  in  the  San  Luis  Obispo  County  area.  

 

SMC   SStanislaus  Math  Council   Organization  serving  mathematics  educators  in  the   http://www.stanislausmathcouncil.o

   

22  

Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

Calaveras,  Mariposa,  Merced,  San  Joaquin,  Stanislaus  and  Tuolumne  counties.  

rg/  

CMC-­‐N  and  Affiliates  CMC-­‐N   California  Mathematics  

Council  -­‐  North  The  northern  section  serves  educators  from  the  northern  California  border  with  Oregon,  south  to  Monterey.  

 

 AC3ME   Alameda  Contra  Costa  County  Math  Educators  

Organization  serving  mathematics  educators  in  the  Alameda  and  Contra  Costa  Counties,  and  throughout  the  greater  Bay  area.  

http://cmc-­‐math.org/AC3ME/  

C3ASME   Contra  Costa  County  Association  of  Science  and  Math  Educators  

Organization  serving  mathematics  educators  in  Contra  Costa  County.  

 

CMSESMC   Council  of  Math  and  Science  Educators  of  San  Mateo  County  

Organization  serving  mathematics  and  science  educators  in  San  Mateo  County.  

http://www.cmsesmc.org/  

MESC   Math  Educators  of  Solano  County  

Organization  serving  mathematics  educators  in  Solano  &  Yolo  Counties    

 

MLMC   Mt  Lassen  Math  Council   Organization  serving  mathematics  educators  in  the  Mount  Lassen  area    

https://www.facebook.com/MLMC.MtLassenMathCouncil  

MDMC   Monterey  Bay  Counties  Math  Educators  

Organization  serving  mathematics  educators  in  the  Monterey  Bay  area  

 

MC-­‐N  California  Mathematics  Council  –  Far  North  

Organization  serving  mathematics  educators  in  the  Humboldt,  Del  Norte  and  neighboring  counties.    

http://www.cmcfn.com/  

NNMC   Northern  Nevada  Math  Council  

Organization  serving  mathematics  educators  in  the  Washoe  County  and  Reno,  Nevada  area.  

https://sites.google.com/site/nnevadamathcouncil/  

SAME   Sacramento  Area  Math  Educators  

Organization  serving  mathematics  educators  in  the  Sacramento  area.  

http://edweb.csus.edu/projects/same/  

SFMTA   San  Francisco  Math  Teachers  Association,  

Organization  serving  mathematics  educators  in  the  San  Francisco  area.  

 

   

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Acronym  or  Term  

Meaning   Definition/  Meaning  in  terms  of  Common  Core   Info.  Source  or  For  More  Info:  

SFMTA  SCVMA   Santa  Clara  Valley  Math  

Association  Organization  serving  mathematics  educators  in  the  Santa  Clara  area.  

http://www.scvmath.org/  

WCMC   Wine  Country  Math  Council  

Organization  serving  mathematics  educators  in  the  Sonoma,  Lake,  and  Mendocino  County  areas