What Is a Variable?
A complete walkthrough of a MEG Algebra 1 lesson — representative of our approach acrossAlgebra 1, Algebra 2, and Geometry. Built to Minnesota Academic Standards with embedded ELL supports, SPED accommodations, career connections, and word-problem fluency development in every lesson.All sample materials below are from our actual curriculum — download and see for yourself.
The Four-Phase Lesson Structure
Every MEG lesson follows the same consistent structure — predictable pacing, embedded differentiation, and career connections in every phase.Every lesson also adapts cleanly to a 90-minute block.
Phase 1
3–4 minBell Ringer
Arithmetic fluency and pattern recognition — whiteboard-based, low-stakes warm-up that reactivates prior learning
Predictable start reinforces the PBIS expectation "Be Ready" — materials out, focus on the board
Phase 2
4–5 minLaunch / Hook
Essential question + career spotlight — Anishinaabe basket weaving, Medical Lab Scientist salary modeling, and more
Frames the day's learning in a question students can answer by the end of class
Phase 3
20–24 minExplore & Develop
Direct instruction with teacher modeling, precision language, and embedded checks — then collaborative problem-solving
Tiered independent worksheet (T1/T2/T3) — every student works at the right level while the teacher circulates
Phase 4
8–10 minReflect & Practice
Zero-device, PBIS-integrated — Translation Match, skill practice as friendly competition
2-minute formative assessment — directly tied to the lesson objective
Clear preview connecting today's learning to what comes next
Lesson 01: What Is a Variable?
This is the real lesson plan — pulled directly from our Unit 1: Variables and Expressions. Every word below is from the actual curriculum.
Merit Education GroupLesson
U1L01 — What Is a Variable?
Duration
50 minutes (adaptable to 90-minute block)
MN Standards
MN 9.3.5.7, MN 9.3.5.8
Career Connection
Medical Lab Scientist — Mayo Clinic
Objective
Define a variable and distinguish it from constants and coefficients. Identify variables in algebraic expressions and write one-variable expressions to model quantitative situations.
Key Vocabulary
Enduring Understanding
Variables are symbols that represent unknown or changing quantities — they let us generalize relationships instead of computing single answers.
Direct Instruction (I Do) — 6 min
Teacher Script:
Variable: A letter or symbol that represents an unknown quantity or a value that changes within a given context. Variables allow us to generalize relationships rather than compute single numerical answers.
Expression: A mathematical phrase composed of numbers, variables, and operation symbols. Expressions do not contain equality or inequality signs.
Constant: A fixed numerical value in an expression that does not change.
Coefficient: The multiplicative factor placed directly before a variable term. If no number is written, the coefficient is implicitly 1.
Precision Language
"We do not say 'x times n.' We state: 'the product of a constant and a variable' or use proper notation."
Culture & Career Spotlight — 6 min
Anishinaabe Basket Weaving
Traditional weavers use 8 + r to model total reeds, where r captures how material needs scale with design complexity.
Career: Medical Lab Scientist — $63,170/yr
A medical lab scientist at Mayo Clinic, Rochester MN — the salary comes from MN DEED OES 2026 Q1 data (25th percentile × 2080 hrs), verified against O*NET. s × h + 5 models total tasks as samples per hour, hours worked, and quality checks. Variables enable career modeling rather than static calculations.
Guided Practice (We Do) — 8 min
Example 1: Identification
7k - 4
Identify the variable, constant, and coefficient.
Variable: k | Constant: -4 | Coefficient: 7
Example 2: Translation
Write an expression for "5 less than three times a number."
Solution: Let n represent the unknown number. 3n - 5
Example 3: Real-World Model
A community garden charges a flat fee of $12 and $4 per plot rented. Write an expression for total cost if p plots are rented.
Solution: 12 + 4p
Independent Worksheet — 18 min (9 work + 9 circulate)
Identify variables/constants/coefficients in given expressions; match verbal phrases to one-variable expressions.
Write one-variable expressions from multi-step verbal descriptions and real-world scenarios.
Determine if two expressions are equivalent when variables are assigned specific values; justify using substitution.
Common Misconceptions & Redirect Strategies
| Misconception | Redirect Question |
|---|---|
| Confuses variable with constant | "Which part changes depending on the situation?" |
| Writes 5 × n instead of 5n | "How do mathematicians abbreviate multiplication?" |
| Translates "3 less than x" as 3 − x | "Read carefully — what is being decreased?" |
Exit Ticket — 2 min
1. Define a variable in your own words using precise mathematical language.
2. Write an algebraic expression for: "Twice a number decreased by 9." Let n represent the unknown number.
Formative assessment directly tied to the lesson objective. Word-problem readiness check.
Materials Checklist
- Whiteboards, markers, erasers (1 set per student)
- Direct Instruction slide deck (Navy #1C2950 headings, Arial body)
- Guided Practice handout (3 examples + GEMDAS reminder)
- Tiered Independent Worksheet (T1/T2/T3 versions)
- Prime Time: Translation Match card sets (laminated, zero-device)
- Exit Ticket slips
- Visual vocabulary anchor chart
Differentiation Built Into This Lesson
These supports are not optional add-ons. They are designed into the lesson structure itself — every MEG lesson includes accommodations for ELL, SPED, support, and extension.
Pre-teach vocabulary with bilingual glossaries and visual anchors.
Provide sentence frames for exit ticket: "A variable is a ______ that represents ______." Pair ELL students with structured peer supports during the Translation Match game.
Transitional ELL guided notes (Spanish / English) — the same lesson in a Spanish-first, English-to-follow format, with cognate charts, sentence frames, and a bilingual self-check.
- Provide graphic organizers with labeled slots for Variable, Coefficient, Constant
- Allow use of concrete manipulatives (algebra tiles, colored counters)
- Extend independent work time using the built-in 9-minute circulate window
Unit 1: Variables and Expressions
Seventeen lessons building from defining variables through career-connected review — every lesson reinforces word-problem interpretation and algebraic modeling.
17
Lessons
20
Instructional Days
52
Assessment Files
3
MN Standards
| Lesson | Title |
|---|---|
| 1 | What Is a Variable? |
| 2 | Translating Verbal Phrases |
| 3 | GEMDAS Basics |
| 4 | GEMDAS — Advanced |
| 5 | Evaluating — One Variable |
| 6 | Evaluating — Multiple Variables |
| 7 | Real-World Formulas |
| 8 | Identifying Terms, Coefficients & Constants |
| 9 | Combining Like Terms |
| 10 | The Distributive Property |
| 11 | Distributive + Combining Like Terms |
| 12 | Equivalent Expressions |
| 13 | Writing Equivalent Expressions (GCF) |
| 14 | Perimeter, Area & Algebraic Expressions |
| 15 | Translating Real-World Scenarios |
| 16 | Personal Finance: Budgeting |
| 17 | End-of-Unit Test |
The Actual Lesson Slide Deck
These are real slides from the L01 lesson deck — the same deck teachers project in class. Bell ringer, career spotlight, guided practice, exit ticket — every phase is built in.
Bell Ringer — whiteboard warm-up
Where Careers Meet Algebra
Guided Practice — We Do Together
Exit Ticket — assess and reflect
Algebra 1, Unit 1 — Complete
The entire Unit 1 sample kit is built, polished, and shipped (2026-08-08) — 12 numbered categories,226 files. Every future unit and every course replicates this exact structure.
| Folder | Files |
|---|---|
| 01_Scope_and_Sequence | 2 |
| 02_Pacing_Guide | 1 |
| 03_Slide_Decks | 21 |
| 04_Lesson_Plans | 17 |
| 05_Teacher_Editions | 17 |
| 06_Student_Worksheets | 68 |
| 07_Assessments | 4 |
| 07_Guided_Notes | 32 |
| 08_Bell_Ringers | 34 |
| 11_Family_Letters | 4 |
| 12_Teacher_Resources | 9 |
| 13_Substitute_Plans | 17 |
All Unit 1 Lesson 1 Resources
The complete resource set for Lesson 1: What Is a Variable? — lesson plan, teacher edition, guided notes, tiered worksheets (English and Spanish), bell ringers, game master, PBIS framework and poster, family letters in four languages, and the slide-synced substitute plan.No accounts, no sign-ups. Just real curriculum you can review right now.
Lesson Plans & Teacher Editions
Guided Notes
Each lesson has a printable version and an interactive fillable version with type-in fields.
Worksheets, Bell Ringers & Game Masters
Tiered Ready/Set/Go problem sets, spiral-review bell ringers, and the Prime Time game master — printable and fillable.
Family Letters, PBIS & Sub Plans
Family letters ship in four languages (English, Hmong, Somali, Spanish); the PBIS framework and poster anchor Prime Time; substitute plans are slide-synced scripts for every lesson.
Unit 1 Assessment Cadence
Quiz 1 — Day 7 (covers L1–L5)
Variables, verbal phrases, GEMDAS, one-variable evaluation — 15 min
Download PDFQuiz 2 — Day 17 (covers L6–L15)
Formulas, terms, properties, equivalent expressions — 15 min
Download PDFPlus a Mid-Unit Summative (L1–L8) — every assessment ships with a student version for easy printing.
Complete High School Math Sequence
The sample you just explored is from Algebra 1 — but every resource type shown here exists forAlgebra 2 and Geometry as well, built to the same standards and structure.
Algebra 1
Variables through career-connected review — 17 lessons, 10 MN standards, full resource set.
Download Sample LessonAlgebra 2
Quadratic, polynomial, exponential, and logarithmic functions — advanced algebraic reasoning.
Schedule a MeetingGeometry
Congruence, similarity, circles, and geometric modeling — same embedded supports and career connections.
Schedule a Meeting
Ready to Bring MEG to Your Classroom?
Everything you saw here — lesson plans, guided notes (fillable and print), tiered worksheets, PBIS game masters, family letters — are available for every lesson in every unit across Algebra 1, Algebra 2, and Geometry.
Schedule a MeetingNo commitment required. We'll walk you through everything included.