**Intended Purpose:**

•To help students strengthen and maintain basic fact fluency using 5-frame, 10-frame and area models

- Addition to 5 and 10 (Count on from the greatest number)
- Addition to 20 (Make a ten)
- Subtraction within 5 and 10 (Count up to subtract)
- Subtraction within 20 (Count up and make a ten)
- Multiplication (Multiply by 5 and some more)
- Division (Think multiply to divide)

**Understanding Fluency:**

•Procedural fluency is described as “skill in carrying out procedures flexibly, accurately, efficiently, and appropriately”. **(CCSS-M, 2010)**

•Characteristics of fluency include:

__flexibility__, to use number relationships with ease in computation__efficiency__to choose an appropriate, expedient strategy for a specific computation problem__accuracy__, to produce a correct answer.**(Parrish, 2010)**

•It is not simply memorizing answers! The best way to develop fluency with numbers is to develop number sense and to work with numbers in different ways, not to blindly memorize without number sense.** (Boaler, 2015)**

•Delta Math visual fluency cards were inspired by Graham Fletcher’s Multiplication Subitizing Cards and are available thanks to the leadership and partnership of the Berrien RESA.

**Suggestions for use:**

•**Distributed/spaced practice** after students have explored the targeted fluency strategy using manipulatives and drawings

**Tier 2 and Tier 3 intervention lessons**introduce and provide practice with all three phases of the Concrete-Representation-Abstract (C-R-A) learning progression. (Build, Draw and Write)**Additional guided practice**provide graphic organizers focused on the last two phases of C-R-A. (Draw and Write)

•Explore each deck of cards with the following progression

**Card sort**matches all four sets of cards within a deck**Match-up #1**begins with the number problem cards face-down and the visual problem cards face-up**Concentration #1**begins with both number problem cards and visual problem cards face-down

**Instructional Design:**

•Approximately 5 to 15 minutes per session

•Math talk samples help students communicate fluency strategies

•The facts provided in each deck were limited to the facts students generally find difficult.