Core Progress™ for Math - Renaissance Learning

ContentsExecutive Summary................................................................................................................................................iiIntroduction........................................................................................................................................................... 1What are learning progressions?.......................................................................................................................... 2Evolution of the Core Progress learning progression for mathematics................................................................. 3Phase I: Scope and sequence.............................................................................................................................. 3Phase II: Revised scope and sequence, addition of core objectives and prerequisites...................................... 5Phase III: Learning progression............................................................................................................................ 6Phase IV: Empirical analysis of Core Progress.................................................................................................... 10Mapping Core Progress to the Common Core State Standards......................................................................... 12Phase V: Building a new learning progression specifically for the Common Core............................................. 13Core Progress: an integral component of Accelerated Math Live and STAR Math Enterprise........................... 15Conclusion........................................................................................................................................................... 19References.......................................................................................................................................................... 32AppendicesCore Progress for Math Learning ProgressionAppendix A: Examples of skill progressions across grade levels...................................................................... 20Appendix B: Core Progress for Math includes four domains and 23 skill areas................................................. 21Appendix C: Core skills per grade, per domain................................................................................................. 22Appendix D: Example of how one core skill serves as a prerequisite for many other core skills....................... 23Appendix E: Common Core State Standards and Core Progress...................................................................... 24Core Progress Learning Progression for Math - Built for the Common Core State StandardsAppendix F: Organization of Skill Areas within the 11 Domains for K-8............................................................. 25Appendix G: Organization of Skill Areas within the 21 Domains for high school................................................ 26Appendix H: Examples of skill progressions across grade levels, Whole Numbers: Place Value...................... 28Appendix I: Core skills per grade, per domain................................................................................................... 29Appendix J: Example of mapping a core skill to many other core skills, Fractions............................................ 31FiguresFigure 1: Core Progress for Math.......................................................................................................................... 7Figure 2: Prerequisite map of place value............................................................................................................. 9Figure 3: Correlation of STAR Math Enterprise to Core Progress........................................................................ 11Figure 4: Correlation of STAR Math Enterprise to Core Progress Math built for CCSS....................................... 13Figure 5: Accelerated Math Live Student Record Report................................................................................... 16Figure 6: STAR Math Enterprise provides your entry point into Core Progress................................................... 17Figure 7: Example of Instructional Planning Report generated by STAR Math Enterprise................................. 18Figure 8: STAR Record Book............................................................................................................................... 18TablesTable 1: Cross-grade progression of Fraction Concepts and Operations............................................................ 5Table 2: Example of how one core skill serves as a prerequisite for many other core skills................................. 8Table 3: Example of Core Progress alignment to Common Core State Standard............................................... 12i