Sequences of Tasks

The NC²ML team recognizes the importance of strong, high cognitive demand mathematical problems (also known as *tasks*). According to the Task Research-Practice brief, good problems are low-floor, high ceiling, wide wall tasks that allow everyone access, no matter ability. They also push all students to go beyond their current understanding. The team also recognized that one task, alone, cannot teach a concept at depth. Thus, files include a set of 3 or more tasks sequenced in such a way as to build understanding progressively. The sequence of tasks build students’ mathematical reasoning, procedural fluency and conceptual understanding.

Grade | Cluster | Sequence of Tasks |
---|---|---|

6th | Reasoning with Area and Surface Area | Parts and Pieces WORD | PDF Creating a Triangular Flag WORD | PDF |

6th | Division of Fractions Conceptions | This for That WORD | PDF |

6th | Reasoning with Factors and Multiples | Reasoning with Factors and Multiples #1 WORD | PDF Reasoning with Factors and Multiples #2 WORD | PDF |

6th | Ratio Reasoning | Ratio Reasoning WORD | PDF |

7th | Reasoning with Expressions | Equivalent Expressions WORD | PDF |

7th | Proportional Relationships | Geometry Cluster WORD | PDF Ratios 1 WORD | PDF Ratios 2 WORD | PDF |

7th | Reasoning with Rational Numbers | Number Systems 1 WORD | PDF Number Systems 2 WORD | PDF Number Systems 3 WORD | PDF Number Systems 4 WORD | PDF |

7th | Proportional Reasoning | Ratios WORD | PDF |

7th | Probability | Foolish Fouls WORD | PDF |

8th | Reasoning About Equations and Angles | Angles WORD | PDF Solving Equations WORD | PDF Inequalities WORD | PDF |

8th | Functional Reasoning/System Unit | Comparing Functions WORD | PDF Systems of Equations WORD | PDF |

8th | Reasoning about Similarity and Transformations | Congruence WORD | PDF Similarity WORD | PDF Transformations WORD | PDF |

8th | Functional Reasoning | Interpreting Slope and Y-Intercepts WORD | PDF Lines of Best Fit WORD | PDF |

8th | Statistical Reasoning | Two-Way Tables WORD | PDF Scatterplots WORD | PDF |