## Instructional Program

##### Sample tasks from Stage 3, Level 1: Addition to 5, Missing Whole

## Support Students Who Need Help in Math

The best practices in developmental psychology and cognitive science are the cornerstones of Symphony Math®. Our uniquely designed delivery methods ensure that students – regardless of learning styles or knowledge levels – fully grasp fundamental mathematical ideas, even for difficult-to-explain and abstract concepts. The result is a solid foundation for acquiring higher math skills, as well as a positive learning experience. The primary elements in the Symphony Math® approach, which cover Common Core Math standards in grades K-5, include:

## Conceptual Sequences of the Most Important Mathematical Ideas

A tightly connected progression forms the conceptual sequence of Symphony Math®. These underlying “big ideas” provide the foundation for mathematical learning. As students master each big idea before moving on to the next, they learn to succeed with more complicated math later on.

Mathematical Topic | Underlying Big Idea |
---|---|

Sequencing, Number | Quantity |

Addition and Subtraction | Parts-to-whole |

Place Value | Hierarchical grouping |

Multiplication and Division | Repeated equal grouping |

Multi-digit Addition and Subtraction | Hierarchical grouping coordinated with parts-to-whole |

Fractions | Repeated equal grouping coordinated with parts-to-whole |

## Multiple Ways of Knowing

Six distinct activity environments provide multiple representations of each concept and integrate with the conceptual sequence.

Activity | Purpose |
---|---|

Manipulatives | Conceptually understand what the concept “looks like” |

Manipulatives & Symbols | Explicitly connect symbols to visual representations |

Symbols | Understand concepts at abstract levels |

Auditory Sentences | Learn the formal language of math |

Story Problems | Apply learning to real life problem solving |

Mastery Round | Develop immediate recall of number relationships |