Bar Model Worksheets

Bar models are a powerful and essential tool in teaching mathematics, especially when teaching maths for mastery. This approach focuses on using concrete, pictorial, and abstract representations of calculations. The bar model falls under the pictorial stage of maths teaching and learning.

At Cazoom, we introduce students to bar models early. In KS1, bar models are used for working with number bonds and representing knowns and unknowns in part whole relationships. They are also an excellent tool for understanding which of the four operations to apply in solving word problems and are helpful for partitioning numbers and understanding place value. The consistent use of bar models ensures that learners become confident in using the model to solve more complex problems at KS2 and beyond.

For us, bar models have become an invaluable tool at KS2 and KS3, particularly when working with fractions, ratios, percentages and throughout the topic of algebra. They are an effective tool for finding fractions and percentages of amounts, working with equivalent fractions, dividing an amount into a given ratio, forming and solving equations. The bar model helps pupils understand the structure of a problem and builds their confidence.

Here is our collection of resources using the bar model and KS1 and 2. Check back frequently as our collection of resources is always growing.


Unlock the power of bar models! Our Bar Modelling Worksheets offer a visual, step-by-step approach to mastering a wide range of mathematical calculations. From fractions to complex equations, these easy-to-download PDF worksheets make understanding maths concepts engaging and effective. Answers are included to support independent learning. Transform your student’s problem-solving skills and build a deep understanding of maths with our Bar Modelling Worksheets!

What are Bar models in maths?

Bar models are visual tools in maths that use rectangles (bars) to represent numbers and their relationships. The size of each bar corresponds to the value of the number it represents. Bar models help students understand concepts like addition, subtraction, fractions, and ratios by breaking down problems into clear visual steps. They make complex problems easier to grasp and support students in developing a deeper understanding of mathematical operations beyond just memorizing formulas.

importance of bar models

Bar models are powerful tools in maths education because they offer a visual way to understand numbers and their relationships. Unlike memorizing formulas, bar models help students grasp the meaning behind operations like addition and subtraction. They turn word problems into manageable visual steps, making the solution process less overwhelming. For example, if Emily bakes 7 cupcakes and her brother bakes 5, a bar model would make it clear that they need to add these quantities to find the total number of cupcakes. Bar models are incredibly versatile and can support learning for topics ranging from simple counting to fractions and algebra.

uses of bar models

Bar modeling teaches us to visualize problems by breaking them into parts. This problem-solving skill has applications beyond the classroom. Imagine needing to divide a project into manageable time blocks – that’s similar to partitioning with a bar model. Understanding proportions, trained through bar models, can be helpful when adjusting recipes or comparing prices of different-sized items at the store. Bar modeling even promotes a structured way of thinking, aiding in comparing options or making decisions based on multiple factors.