Virginia SOL 6.CE.2.a
The Standard
Demonstrate/model addition, subtraction, multiplication, and division of integers using pictorial representations or concrete manipulatives.*
Virginia Standards of Learning for Mathematics · The student will estimate, demonstrate, solve, and justify solutions to problems using operations with integers, including those in context.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students build or draw integer models with two-color counters, number lines, or signed groups. They use each model to find the result and explain what the counters, arrows, or groups mean.
What Mastery Looks Like
- Students choose a fitting model, represent both signs correctly, and reach the correct value for each operation. They explain zero pairs, direction changes, and equal groups without relying only on a memorized sign rule.
Common Misconceptions
- Students may treat every minus sign as subtraction rather than as a negative sign. They may remove counters that are not present instead of adding zero pairs, or move left for every subtraction. They may memorize sign rules but draw models that conflict with their answers.
How to Assess It
- On an exit ticket, have students draw models and solve: -3 + 5, 2 - 6, (-4)(3), and (-12) ÷ (-3). Under each model, they explain how it shows the operation and sign.
Lesson moves
Ways to Teach It
Give pairs two-color counters and four operation cards; students build each model, add zero pairs when needed, and record the matching equation.
Ask students to compare drawings for -4 + 7 and 7 - 4, then explain why the results match.
Play Model Match: students pair equation cards with counter or number-line cards, then defend one match to a partner.
Use a bank ledger with deposits, withdrawals, repeated fees, and equal repayments; students model each change before calculating the balance.
Free download
Printable 6.CE.2.a Worksheet
A ready-to-print activity worksheet aligned to 6.CE.2.a, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 1.CE.1.b
Demonstrate fluency with addition and subtraction within 10 by applying reasoning strategies (e.g., count on/count back, one more/one less, doubles, make ten).
- 8.PFA.1.a
Represent algebraic expressions using concrete manipulatives or pictorial representations (e.g., colored chips, algebra tiles), including expressions that apply...
- 6.CE.1.a
Demonstrate/model multiplication and division of fractions (proper or improper) and mixed numbers using multiple representations.*
- 2.CE.1.d
Demonstrate fluency with addition and subtraction within 20 by applying reasoning strategies (e.g., doubles, near doubles, make-a-ten, compensations, inverse re...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.