Joyful, Confidence-Building Math

When K–5 math curricula move too fast, foundational gaps widen and quickly compound into major hurdles. Trapezium builds the daily, systematic opportunities students need to reclaim foundational skills and stay on track. We deliver powerful, screen-free programs that develop automaticity, mental math fluency and reasoning in joyful, confidence-building ways.

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Trusted by Schools Across the Nation
MATH CURRICULUM designed to build strong foundations

Exceptional Student Outcomes in Math

The Data: Decades of educational research show a direct, mathematical link between basic math fluency and high-stakes test scores. For instance, a recent (2025) California study found that fifth graders with fluent multiplication skills were nine times more likely to score in the top half of state math tests than those without them.


The Trapezium Proof: We built our curriculum around this exact science. In a 12-year study of a school with 100% NSLP-eligible students, Trapezium Math’s daily, screen-free approach proved what's possible - powering 70% of students to score at or above grade-level proficiency, year after year.

TRAPEZIUM MATH PROGRAMS

Differentiated K-5 Math Curriculum

Trapezium partners with schools and districts to provide a variety of turn-key programming options that help to meet the unique needs of each district, school and student.

10-Minute Math

Daily routines for building automaticity & mental math fluency.

Kindergarten

Slow and iterative scaffolding to build foundational skills.

Intervention

Remediation for participation & progress in Tier 1 classrooms.

Out of School Time

Ensure that students confidently begin the next school year.

Turn-Key Programs

Ready for Teachers

Trapezium programs empower teachers to deliver engaging, effective math instruction with ease.

Scope & Sequence

Teachers always know what comes next and how each skill supports long-term mastery.

Daily Lesson Blueprints

Every lesson contains a roadmap for instruction with objectives, pacing suggestions, and engaging dialogue.

Easy-Access Portal

Teachers can quickly find all learning assets and progress monitoring tools organized by skill and grade level.

Teacher Coaching

Teachers receive practical strategies and renewed excitement about teaching math.

Progress Monitoring

Our assessments and rubrics align with daily instruction, ensuring that data is used to guide teaching.

K-8 Math Enrichment curriculum

Accelerating Math Achievement

Trapezium Math accelerates student achievement by combining evidence-based instruction with joyful, hands-on learning. In classrooms across the country, students are mastering foundational skills faster, thinking more deeply, and building lasting confidence in math.

Our Proprietary Curriculum Framework

Our curriculum understands the different parts that make up a whole math learner. By using our proprietary framework C.R.A.F.T. ™, we can see each math learner as an individual and meet their specific needs. 

C.R.A.F.T. Proprietary Curriculum Trapezium Logo

  • Counting

    Counting is  the automatic ability to count forward and backward "by any number, to any number, from any number." This rigorous, sustained practice (continuing through the end of elementary school) trains the brain with a precise "mental map" of the number system that serves as the foundation for all operations, problem-solving, and number sense.  

  • Reasoning

    Reasoning is measured by the increasing sophistication of students' language and their application of appropriate tools (algorithms, formulas, models, etc.). It must progress and be explicitly assessed at every grade level. This trajectory moves students from simple assertions to constructing and defending complex, evidence-based mathematical arguments.  

  • Automaticity

    Automaticity is the quick, effortless recall of basic math facts without having to consciously calculate or count. This is critical because it frees up working memory in the brain. When simple steps are automatic, the student can dedicate cognitive resources to the more challenging aspects of problem-solving and reasoning.  

  • Fluency

    A truly fluent student can accurately draw upon mental maps and working memory to hold numbers and partial results in their head while operating on them. Fluent students also have the ability to know, apply, and articulate appropriate tools (algorithms, formulas) and vocabulary to quickly and confidently arrive at answers. A fluent student is not only fast and correct but can also explain why their chosen, efficient method was the best fit for the task.  

  • Tenacity

    Tenacity or perseverance, is the willingness to stick with a challenging problem and not give up at the first sign of difficulty. It is the core affective component, fostering a growth mindset and viewing mistakes as learning opportunities. This is what builds true math confidence, enabling students to tackle complex, multi-step problems over time.  

about the founder

Angela McIver, Ph.D

Angela McIver, Ph.D, founded Trapezium Math after her research revealed that children are capable of far more rigorous and joyful math learning than traditional programs provide. Her work shaped Trapezium’s approach, which gives students clear models, engaging challenges, and the confidence to grow as strong math thinkers.

Cheltenham School District Logo

“Trapezium Math has made it possible for our elementary students to get additional math practice and support at home. We’re very excited about giving students an opportunity to participate in math enrichment with their peers across the district.”

Brian Reilly

Director of STEM Programs,
Cheltenham School District

Start Building Confident Math Thinkers Today