Teaching Solving Algebraic Equations with Bar Models - Make Sense of Math

Teaching Solving Algebraic Equations with Bar Models

Teaching solving algebraic equations with bar models
Teaching Solving Algebraic Equations with Bar Models

Solving algebraic equations can feel overwhelming for many middle school students, especially when instruction focuses only on steps and procedures. Bar models offer a simple way to make equations more visual and meaningful.

Instead of asking students to memorize what to do, bar models help them understand what the equation represents.

Why Use Bar Models in Algebra?

Bar models allow students to see the structure of an equation before solving it. This helps students:
  • Identify what is known and unknown
  • Understand relationships between quantities
  • Feel more confident when solving equations
When students can visualize an equation, the math often starts to make sense.

Start with One-Step Equations

Teaching solving algebraic equations with bar models
For an equation like
x + 7 = 19

Have students draw one bar to represent 19 and split it into two parts. One part is 7 and the other part is x. Students can easily see that x is the missing piece.

This approach reinforces that solving equations is about finding a missing value, not following rules.



Use Bar Models for  Multiplication and Division

Bar models also work well for equations such as 3x = 42 
Teaching solving algebraic equations with bar models

Students draw a bar divided into three equal parts that total 42. Each part represents x. From the model, students can see why dividing by 3 makes sense.

This visual support is especially helpful for students who struggle with abstract reasoning.




Connect the Model to the Equation

After drawing a bar model, ask students:
  • What does each part represent?
  • Which part is unknown?
  • How could this be written as an equation?
This helps students connect the visual model to algebraic notation.

Visual Supports Make a Difference

Consistent visuals help students remember strategies and build independence. Anchor charts and posters give students something to refer back to as they solve equations.

I created a set of Solving Equations with Bar Models Anchor Charts and Posters to support this exact work. The charts show how to model and solve addition, subtraction, multiplication, and division equations using bar models.

👉You can find the resource HERE

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Solving equations with bar models anchor charts

Final Thoughts

Bar models help students slow down, think, and understand what an equation means. When students understand the structure, solving becomes less intimidating and more successful.

If you are looking for a simple way to strengthen algebra instruction, bar models are a strategy worth adding to your classroom.

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