FormulasThis is a statement thatuses numbers,variables, and/orsymbols to express amathematical rule orrelationship and is partof the abstract part ofthe CRA framework.ConcreteThis stageuses 3Dand hands-on objectsThreedimensionalobjectsTheconcretephaseincludes thisAbstractThis phase ofthe frameworkincludesnumbers,symbols, andwords.Base-tenblocksThis manipulative ishelpful for teachingplace value as wellas addition,subtraction,multiplication, anddivision.Two-colorcountersThis manipulative isround and has twosides that aredifferent colors and isuseful for teachingintegers, fraction of aset, even odd, andmany other concepts.AlternativeteachingThis co-teachingapproach has oneteacher pull a smallgroup of studentsand is useful to utilizeCRA to providespecially designedinstruction.Eight-StepLearningProgressionThese steps go fromteaching prerequisitemathematicalconcepts, connectingthe different phases toeach other, and endswith providingopportunities forstudent choice.MathaidsThis is the name ofthe accommodationfor students withdisabilities fortesting and includesmanipulatives.HLP20Provideintensiveinstruction foracademicsand behavior.HLP6Use studentassessment data,analyze instructionalpractices, and makenecessaryadjustments thatimprove studentoutcomes.LinkingcubesThis manipulativecan help withcounting and skipcounting, patterning,3D shapes, addingand subtracting, andlength.Tier 1instructionand speciallydesignedinstructionThe CRAframeworkcan supportsboth _____and _______.DrawingsTherepresentationalphase caninclude student_______.HLP16Useexplicitinstruction.StationteachingThis co-teachingapproach utilizesrotating through 3 ormore small groupsand is helpful to useCRA to providespecially designedinstruction.AlgebraTilesThis manipulativeis useful forvisualizing andunderstandingalgebraicconcepts.JustifyManipulatives anddrawings can helpstudents _____their answers andshow theirthinking.Twodimensionalpicturesand imagesTherepresentationalphase includesthis.StrawsThis is aneveryday object isless formal andcan be used formeasurement or ifbundled used forplace value.GeoboardsThis manipulativehelps studentssee shapes,angles,transformations,and slope.SymbolsThe notations, signs,or marks thatrepresent mathoperations, relations,and functions etc.that are a part of theanstract part of CRA.FractionbarsThis manipulativehelps studentsrepresentfractions andvisulaize theirrelationships.GeneralizeThe intention of theframework is to helpstudents______their understandingfrom concrete andrepresentational tothe abstract.FormulasThis is a statement thatuses numbers,variables, and/orsymbols to express amathematical rule orrelationship and is partof the abstract part ofthe CRA framework.ConcreteThis stageuses 3Dand hands-on objectsThreedimensionalobjectsTheconcretephaseincludes thisAbstractThis phase ofthe frameworkincludesnumbers,symbols, andwords.Base-tenblocksThis manipulative ishelpful for teachingplace value as wellas addition,subtraction,multiplication, anddivision.Two-colorcountersThis manipulative isround and has twosides that aredifferent colors and isuseful for teachingintegers, fraction of aset, even odd, andmany other concepts.AlternativeteachingThis co-teachingapproach has oneteacher pull a smallgroup of studentsand is useful to utilizeCRA to providespecially designedinstruction.Eight-StepLearningProgressionThese steps go fromteaching prerequisitemathematicalconcepts, connectingthe different phases toeach other, and endswith providingopportunities forstudent choice.MathaidsThis is the name ofthe accommodationfor students withdisabilities fortesting and includesmanipulatives.HLP20Provideintensiveinstruction foracademicsand behavior.HLP6Use studentassessment data,analyze instructionalpractices, and makenecessaryadjustments thatimprove studentoutcomes.LinkingcubesThis manipulativecan help withcounting and skipcounting, patterning,3D shapes, addingand subtracting, andlength.Tier 1instructionand speciallydesignedinstructionThe CRAframeworkcan supportsboth _____and _______.DrawingsTherepresentationalphase caninclude student_______.HLP16Useexplicitinstruction.StationteachingThis co-teachingapproach utilizesrotating through 3 ormore small groupsand is helpful to useCRA to providespecially designedinstruction.AlgebraTilesThis manipulativeis useful forvisualizing andunderstandingalgebraicconcepts.JustifyManipulatives anddrawings can helpstudents _____their answers andshow theirthinking.Twodimensionalpicturesand imagesTherepresentationalphase includesthis.StrawsThis is aneveryday object isless formal andcan be used formeasurement or ifbundled used forplace value.GeoboardsThis manipulativehelps studentssee shapes,angles,transformations,and slope.SymbolsThe notations, signs,or marks thatrepresent mathoperations, relations,and functions etc.that are a part of theanstract part of CRA.FractionbarsThis manipulativehelps studentsrepresentfractions andvisulaize theirrelationships.GeneralizeThe intention of theframework is to helpstudents______their understandingfrom concrete andrepresentational tothe abstract.

CTSM CRA Bingo Cards - Call List

(Print) Use this randomly generated list as your call list when playing the game. There is no need to say the BINGO column name. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.


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  1. This is a statement that uses numbers, variables, and/or symbols to express a mathematical rule or relationship and is part of the abstract part of the CRA framework.
    Formulas
  2. This stage uses 3D and hands-on objects
    Concrete
  3. The concrete phase includes this
    Three dimensional objects
  4. This phase of the framework includes numbers, symbols, and words.
    Abstract
  5. This manipulative is helpful for teaching place value as well as addition, subtraction, multiplication, and division.
    Base-ten blocks
  6. This manipulative is round and has two sides that are different colors and is useful for teaching integers, fraction of a set, even odd, and many other concepts.
    Two-color counters
  7. This co-teaching approach has one teacher pull a small group of students and is useful to utilize CRA to provide specially designed instruction.
    Alternative teaching
  8. These steps go from teaching prerequisite mathematical concepts, connecting the different phases to each other, and ends with providing opportunities for student choice.
    Eight-Step Learning Progression
  9. This is the name of the accommodation for students with disabilities for testing and includes manipulatives.
    Math aids
  10. Provide intensive instruction for academics and behavior.
    HLP 20
  11. Use student assessment data, analyze instructional practices, and make necessary adjustments that improve student outcomes.
    HLP 6
  12. This manipulative can help with counting and skip counting, patterning, 3D shapes, adding and subtracting, and length.
    Linking cubes
  13. The CRA framework can supports both _____ and _______.
    Tier 1 instruction and specially designed instruction
  14. The representational phase can include student _______.
    Drawings
  15. Use explicit instruction.
    HLP 16
  16. This co-teaching approach utilizes rotating through 3 or more small groups and is helpful to use CRA to provide specially designed instruction.
    Station teaching
  17. This manipulative is useful for visualizing and understanding algebraic concepts.
    Algebra Tiles
  18. Manipulatives and drawings can help students _____ their answers and show their thinking.
    Justify
  19. The representational phase includes this.
    Two dimensional pictures and images
  20. This is an everyday object is less formal and can be used for measurement or if bundled used for place value.
    Straws
  21. This manipulative helps students see shapes, angles, transformations, and slope.
    Geoboards
  22. The notations, signs, or marks that represent math operations, relations, and functions etc. that are a part of the anstract part of CRA.
    Symbols
  23. This manipulative helps students represent fractions and visulaize their relationships.
    Fraction bars
  24. The intention of the framework is to help students______ their understanding from concrete and representational to the abstract.
    Generalize