Build a balance.
Master equations.
Students assemble a K'Nex™ balance and use cups-and-cubes models to solve equations physically — before they encounter formal notation on paper.
Algebra Studio: Balance Lab is a 14-lesson, 15–20 hour hands-on Math Lab. Students assemble a physical balance from a K'Nex™ kit, place cups (variables) and cubes (constants) on each side, and work through equations — from one-step through negatives, the distributive property, and equations with variables on both sides. When the balance tips, something's wrong. When it's level, the equation holds.
Over 14 lessons, students move from physical intuition to mathematical representation to abstraction — understanding what "solving an equation" means through their hands before they encounter formal notation on paper.
How the curriculum works
Students start by building the balance, then progress from physical manipulation to formal equation-solving over 14 lessons.
- Lessons 1–2: Students assemble the K'Nex™ balance and explore how it behaves — what makes it tip, what keeps it level.
- Lessons 3–4: Cups stand for variables and cubes stand for constants. Students place them on the balance, read the physical state, write equations that describe what they see, and work through balance challenges.
- Lessons 5–6: Students model equations with variables on both sides. To isolate a variable, they physically remove cups from both sides. To eliminate constants, they add cubes to create zero pairs and lift them off. Then they write and solve equations on paper.
- Lessons 7–8: Negative numbers enter the picture. Students use inverse operations to isolate variables in equations with integers.
- Lesson 9: Play ZERO OUT — a strategy game that reinforces zero pairs as a way to simplify equations.
- Lessons 10–11: Balanced moves (equivalent transformations) and the distributive property.
- Lessons 12–13: Students transition to solving complex, multi-step equations on paper — with the balance always available as a reference point.
- Lesson 14: Play CARD X — an equation championship game pulling together all equation-solving skills.
14 lessons at a glance
Three sample lessons
Who it's for
- 6th–8th grade teachers looking for hands-on supplemental curriculum in equations and algebraic reasoning.
- 9th grade teachers who need a concrete foundations review for Algebra 1.
- Afterschool and summer program directors who want structured, ready-to-run STEM programming with all materials included.
- Curriculum coordinators looking for standards-aligned supplements that work alongside any core curriculum — no adoption process required.
What's in the kit
- K'Nex™ balance beam kits
- Cups (variables) and cubes (constants)
- Equation mats
- ZERO OUT game cards
- CARD X game cards
- Equation worksheets and recording sheets
- Balance puzzle challenge sheets
- Exit tickets and assessment materials
- Quick-reference teacher booklet
How it runs in the classroom
Every lesson runs through a web-based slide portal at algebrastudio.org. Each lesson opens with the day's task and team setup, then moves into the hands-on activity at the balance. Short visual mini-lessons teach the math students need to do the work, narrated by veteran math educator Howie Templer.
Lessons run between 45 and 90 minutes, with flexibility to extend at the teacher's discretion. The curriculum works as a daily block (4–5 weeks), a twice-weekly enrichment (7–10 weeks), or an afterschool/summer program. It supplements any core curriculum — students learn equation-solving concepts through their regular instruction, and Balance Lab is where they apply those concepts with physical materials and collaborative problem-solving.
Open the kit, follow the slides, and go.
Standards by lesson
Balance Lab covers one-step equations, two-step equations, multi-step equations, and equations with variables on both sides — standards already in your grade 6–8 scope, with extensions into Algebra 1. It doesn't replace your core instruction on these topics. It gives students a place to apply what you're already teaching, using physical materials and collaborative problem-solving.
| # | What students do | Standards |
|---|---|---|
| 1–4 | Build a balance & physical equations | 6.EE.B.5 |
| 5–6 | Variables on both sides; write & solve equations | 6.EE.B.7, 8.EE.C.7 |
| 7 | Negative numbers — integers in equations | 7.EE.B.4 |
| 8 | Isolate a variable — inverse operations | 7.EE.B.4 |
| 9 | Play ZERO OUT — equation strategy game | 6.EE.B.7, 7.EE.B.4 |
| 10 | Balanced moves — equivalent transformations | 8.EE.C.7 |
| 11 | Distributive property | 7.EE.A.1, 8.EE.C.7 |
| 12–13 | Solving on paper — complex equations | 8.EE.C.7 |
| 14 | Play CARD X — equation championship | 6.EE–8.EE |
Career & workplace connections
Every Balance Lab lesson comes with a one-page Workplace Connection brief — a profile of someone whose job runs on the same math students did that day. An HVAC technician sizing a cooling system. A pharmacist calculating a dose. A structural engineer balancing loads. Each brief closes with a reflection question that asks students to connect the profile they just read to their own career goals and interests.
The briefs are short and scannable, designed to be read after the lesson. They're included with the lesson printables.
Professional development
PD is optional. The teaching portal provides step-by-step guidance for every lesson, and most teachers run Balance Lab successfully from the slides alone. PD is recommended when you want to deepen teaching practice around hands-on facilitation, or when a department or grade-level team is adopting the lab together.
Professional development for Algebra Studio focuses on teaching practice — structuring hands-on learning, facilitating collaborative problem-solving, and reading student thinking during physical equation work. Led by a nationally recognized math educator, teachers work through a Balance Lab session as learners — building the balance, placing cups and cubes, solving equations physically. Then they unpack the teaching moves with the facilitator: how to structure the teamwork, where students get stuck, what questions to ask, when to step back.
Format & details
- Half-day workshop, up to 30 participants
- $3,495 flat fee
- Led by a nationally recognized math educator
- Teachers experience a full lab session as learners, then unpack the pedagogy
- Fundable through Title II-A professional development funds
- Available as a follow-up coaching package for ongoing implementation support
Evaluation partnership
For districts running formal evaluation studies. If your research office, grant funder, or district evaluation requirements call for a structured study of program impact, we partner with you to design one. If you're a classroom teacher, you don't need any of this to run Balance Lab — this section is for evaluation directors, research partners, and grant compliance.
Structure a rigorous study using your own assessments, your own comparison groups, and your own timeline. We don't sell the data — your district owns the results and is free to publish.
Research design options
Simple pre/post
Administer a brief assessment before and after the lab, using district benchmark questions or the Algebra Studio pre/post instrument.
Delayed-start RCT
Half of participating classrooms begin first, the other half a few weeks later. Assess all students after the first group completes the project. Use an Algebra Studio pre/post or your own assessment.
Matched comparison
Compare participating classrooms to non-participating classrooms with similar demographics and prior achievement.
Implementation + perception study
Document implementation fidelity, student engagement, and teacher perception alongside quantitative measures.
Kit
The Full Kit serves a single classroom of up to 28 students working in teams.
Full Kit
Materials for a full classroom running Balance Lab.
- K'Nex™ balance beam kits
- Cups (variables) and cubes (constants)
- Equation mats
- ZERO OUT and CARD X game cards
- Equation worksheets, recording sheets, and balance puzzles
- Teacher portal access and all printables
Cost per student
$1,299 ÷ 28 students = $46 per student for 15–20 hours of instruction.
Year over year
All Balance Lab materials are fully durable — the K'Nex™ balance beam kits, cups and cubes, equation mats, and game cards. Buy once, use every year. Year 2+ cost: $0. The few consumable items (worksheets, recording sheets, exit tickets) are available as printable PDFs through the teacher portal.
Funding
Schools and districts commonly fund Balance Lab through:
- Title I (supplemental support for under-served students)
- Title IV-A (Student Support and Academic Enrichment)
- ESSER carryovers, where still available
- 21st Century Community Learning Centers (afterschool and summer)
- Foundation STEM grants
- PTO/PTA budgets for classroom enrichment
Quantity discounts are available for multi-classroom orders. Ask us for a quote.