Horizons Math Teacher's Guide - 5 ✨ All concepts are covered in a flexible yet methodical way in this curriculum. New concepts are listed at the beginning of each lesson. New concepts are listed first followed by concepts of practice from the previous lesson fifth grade math has 21 major concepts. These are developed in progression that is designed to give the student a solid foundation in the basic math skills while providing enough variety to hold the students interest. The objectives less criteria for the students performance. They state what the student should be able to do at the completion of the lesson. You will find objectives helpful in determining the students progress, the need for remedial work, and readiness for more advanced information.