Building Fact Fluency

A Toolkit for Multiplication & Division

Available Fall 2021

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For years, teachers have been asking students to memorize their math facts, but somewhere between asking students to memorize their math facts in elementary school and then expecting students to use facts in practice, something isn’t transferring. It’s for that reason math specialist, Graham Fletcher, and district math coach, Tracy Johnston Zager, created Building Fact Fluency: A Toolkit for Multiplication & Division—a comprehensive, research-based toolkit designed to help students learn math facts by developing deep, conceptual understanding and engaging in purposeful practice.

Building Fact Fluency: A Toolkit  for Multiplication & Division helps students develop deep conceptual understanding of the operations and fact fluency at the same time. Research-based and standards-aligned, each toolkit invites students to think strategically about the mathematics through multiple, rich, real-world contexts. These accessible contexts allow students to see how number facts connect to a wide variety of mathematical situations, explore the properties of the operations, and build a foundation of strategies they can draw from efficiently and with confidence.

What’s Inside

Facilitator’s Guide
The Facilitator’s Guide offers a comprehensive overview of the toolkit, including detailed chapters describing the components, implementation tips, possible uses in different settings, and embedded assessment strategies.

Image Talks Flipchart (For Small Groups)
This small-group resource includes 60 sets (30 for Set A and 30 for Set B) of colorful, engaging photographs of everyday objects that are used in the Image Talks routine—a visual, inviting warm-up designed to begin the strategy discussion.

Tool Talks Flipchart (For Small Groups)
The 60 sets (30 for Set A and 30 for Set B) of photos in the Tool Talks flipchart provide opportunities for small groups to connect meaning-making to slightly more abstract math tools such as cubes or counters.

Array and Group Cards
The Array and Group Cards measure 5” x 8” and are sized for teacher demonstration purposes. They show all number combinations from 1s through 10s

Game Pieces
The toolkit contains:

  • 700 playing counters
  • 48 10-sided dice
  • 48 6-sided dice

What’s Online

Each toolkit includes access to a robust Companion Website that includes a variety of downloadable, printable, and projectable resources for whole-class and small-group use:

Contextualized Practice Problems
60 story problems (two for each context: One for Set A and one for Set B) provided in both projectable and printable formats (in English and Spanish).

Number Talks
60 powerful, short, mental math routines (two for each context: One for Set A and one for Set B) in which students talk about different ways they solve computation problems.

Image Talks
Projectable versions of the 60 Image Talks (two for each context: One for Set A and one for Set B)—a total of 240 individual images!

Tool Talks
Projectable versions of the 60 Tool Talks (two for each context: One for Set A and one for Set B)—a total of 240 full-color images.

60 routines (two for each context): One for Set A and one for Set B.

Card Talks
Engaging, story-based problems for select contexts (one per Strategy included). 60 routines (two for each context): One for Set A and one for Set B.

60 routines (two for each context): One for Set A and one for Set B.

Open Middle Problems
30 problems for Set B only (in English and Spanish).

Game Boards
46 different demonstration game boards (in English and Spanish).

Student Recording Sheets
Downloadable sheets for students to record their work and reflections. Available in English and Spanish.

3-Act Math Task Videos
Engaging, story-based problems (one per Lesson String).

Professional Learning Videos
More than 35 videos containing classroom lessons and reflections, game demonstrations, and assessment strategies, including:

  • Observations and Interviews
  • Looking at Student Work
  • Journaling and Reflection
  • Student Self-Assessment 


Fact fluency is not an add-on—it's an integral part of learning arithmetic with deep understanding.


—Graham Fletcher

About the Author(s)

Graham Fletcher has served in education as a classroom teacher, math instructional lead, and currently as a math specialist. Graham’s work with the math progressions and problem-based lessons has led him to present throughout North America and beyond.


Tracy has worked in many schools over the course of her career, first as a fourth-grade teacher, then as a supervisor of preservice teachers and their inservice mentors, and currently as a math coach. Becoming the Math Teacher You Wish You’d Had grew out of Tracy’s work in classrooms, where she's most in her element, learning together with teachers and students over time.



Product Details

Grades: 3, 4, 5
Available: 09/30/2021
Item No: 1537
ISBN: 978-1-62531-537-3
Publisher: Stenhouse Publishers