Procedural Fluency Model



CTL’s Basic Facts: Addition & Subtraction is a Kindergarten through Grade 2 supplemental curriculum that incorporates intentionally designed lessons, materials, assessment and professional development. Through explicit strategy instruction, game-based practice and the use of formative assessment, students develop fluency with the basic addition and subtraction facts. The kit provides a teacher guidebook and all materials needed for the included games, such as cards, spinners, counters, literacy connections, etc.

Addition Subtraction Kit

Multiple Representations

The vibrant materials were designed so that students have the opportunity to see quantities represented in multiple ways. Dot patterns, pictures, ten frames, as well as the standard and word form are included for each number 0 – 20.  During game play, students build connections between the representations in order to further develop their number sense.

Multiple Representations
games provide opportunity for targeted practice and student engagement

game-based practice

As a primary focus of this resource, game-based practice provides numerous opportunities for all students to practice strategy application and develop a positive disposition towards mathematics. Rather than expecting students to respond correctly on timed tests, teachers shift their focus toward students who are engaged in strategy discussion with their peers. Each game is easily adapted for use with all students.

formative assessment

As small groups of students are engaged in playing games, the teacher will monitor accuracy, efficiency, and the appropriate and flexible use of strategies in each student. Using the provided Observation Checklists, teachers will be able to track individual student progress. Additional opportunities for assessment are created during class discussion when students are asked to share solutions and strategies. The game-based practice and formative assessment components emphasize the developmental and research-based approach of the curriculum.

checklists provide valuable formative assessment data
Lessons are designed to include explicit strategy instruction coupled with extensive workshop/practice time

Explicit Strategy Instruction

Following the framework of Bay-Williams and Kling (2019) outlined in Math Fact Fluency, lessons begin with developing mastery with the foundational fact sets and progress to the selection and use of the derived fact strategies for unknown facts. Explicit strategy instruction is used to build students’ number sense as fluency with the remaining basic facts is developed. Each lesson follows the workshop model with three main components: mini lesson, workshop and closure. The brief mini lesson is delivered by the teacher and introduces students to the key work of the day. The main part of each lesson is the workshop where students are working collaboratively to practice known facts as well as choosing and applying strategies for solving unknown facts. Student reflection, which can take many forms, is the closure for each lesson. Supplemental activities and games included are meant to provide additional time for students to practice choosing and applying strategies.

Tens frames that support numeracy to twenty
game based practice promotes engagement and equity
can be used to support on-grade learning as well as tiered intervention