Mathematics · Grade 6
Expressions and One-Step Equations
Interpret a variable and evaluate an expression. Use exponents, order of operations and distribution. Model a simple equation and distinguish it from an expression.
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Explore the related learning targets, foundations and possible next connections.
Learning goals
- Interpret a variable and evaluate an expression.
- Use exponents, order of operations and distribution.
- Model a simple equation and distinguish it from an expression.
Before you begin
Use the prerequisite representations before moving to independent work.
Age and grade do not measure readiness. Adjust reading or adult support to preserve the intended learning goal.
Follow the sequence
Complete practice
Expressions and One-Step Equations
Practice · Independent · 30 min
Interpret a variable and evaluate an expression. Use exponents, order of operations and distribution. Model a simple equation and distinguish it from an expression. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Expressions and One-Step Equations: Explore and Explain
Explore · Independent · 10 min
Interpret a variable and evaluate an expression. Use exponents, order of operations and distribution. Model a simple equation and distinguish it from an expression. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Expressions and One-Step Equations: Practice Independently
Practice · Independent · 15 min
Interpret a variable and evaluate an expression. Use exponents, order of operations and distribution. Model a simple equation and distinguish it from an expression. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Expressions and One-Step Equations: Apply and Create
Apply · Independent · 20 min
Interpret a variable and evaluate an expression. Use exponents, order of operations and distribution. Model a simple equation and distinguish it from an expression. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Teaching and response guide
- Begin with: Evaluate 3n + 4 at n = 5.
- Connect the response to: Calculate 3 + 4 × 2.
- Ask students to apply the idea: A learner rewrites 3(n + 4) as 3n + 4. Explain and correct.
Watch for: Check the meaning of each quantity, the operation and the units; a numerical answer alone does not show the full reasoning.
Check the answer criteria for each task. A supported explanation may have more than one acceptable response. These activities offer evidence to discuss; completing a sheet alone does not establish mastery.
Possible next goals
Choose the next unit when its prerequisites fit your learner.