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Register by September 15 and save $200 on Full Cohort Membership. The cohort year begins in October.

Basic Fact Fluency

Your New BFF: Expressions & Equations!

BFF Expressions & Equations helps students develop a deep understanding of algebraic equations by connecting visual models, reasoning, and symbolic representations.

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Middle school students working through algebraic expressions at a vertical whiteboard
How it works

Built on the Core Four

Instead of jumping straight to symbolic procedures, students explore equations through Math Empowered's Core Four Instructional Routines:

Four routines, used every day
  • Math Talks

    Surface student thinking and build meaning around unknowns and relationships.

  • Partner Sorts

    Help students notice structure and patterns within expressions and equations.

  • DARE-ing application problems

    Connect algebra to real-world situations.

  • Thinking Pathway Tasks and Proof Games

    Reinforce strategies through collaboration and reasoning.

Multiple representations

Students work across multiple representations, including algebra tiles, tape diagrams, hanger models, and equations, to make sense of algebra. They learn to represent unknown quantities, understand equations as balanced relationships, and solve by maintaining equality on both sides.

As students move from visual models to symbolic methods, algebra becomes a natural extension of their reasoning, rather than a set of rules to memorize.

Video

See it in action

BFF Expressions and Equations in action

Flexible by design

BFF Fluency Intervention Kits adapt to your schedule

Three scheduling options: 10 minutes of daily number sense, 15 to 20 minutes of focused small groups, and 45 minute full intervention blocks

Included in your registration

Professional
Learning
Sessions

Learn on your own schedule. Every session is asynchronous, so your team can watch, discuss, and try the routines between meetings.

Sessions
5
Pacing
Self paced
  1. Asynchronous learning (~45-60 minutes)

    Math Empowered Core Values

    At Math Empowered, we believe mathematical growth comes from engaging in the learning process, not from what students already know. In this session, participants explore the core values that guide Math Empowered classrooms, including fostering a growth mindset, honoring student thinking, and viewing mistakes and productive struggle as the necessary tension that leads to deep understanding.

  2. Asynchronous learning (~45-60 minutes)

    Instructional Practices: The Core Four

    Explore Math Empowered's four signature instructional practices: Math Talks, Partner Sorts, DARE-ing Application Problems, and Thinking Pathway Tasks and Proof Games. This course introduces the purpose and structure of each routine and demonstrates how they support conceptual understanding, reasoning, and student discourse.

  3. Asynchronous learning (~15-30 minutes)

    Unpacking Your Materials

    Get your BFF Fluency intervention materials ready for immediate classroom use. In this short course, participants learn how to efficiently unpack, organize, and prepare the resources included in the kit so they can begin supporting student learning right away.

  4. Live virtual session (120 minutes)

    BFF Expressions & Equations Deep Dive

    Join a Math Empowered team member for an interactive session exploring the mathematics behind the kit. Together we will examine the progression from conceptual understanding to reasoning strategies to efficient procedures, and explore the thinking pathways embedded throughout the materials.

  5. Live virtual session (60 minutes)

    Follow-Up Session

    Reconnect with a Math Empowered facilitator after implementing the BFF Kit in your classroom. Participants reflect on their experiences, share student successes and challenges, and deepen their understanding of how to support students along the thinking pathways toward mathematical fluency.

Ready to bring BFF Expressions & Equations to your team?

Schedule your free consultation

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