Fractions are introduced in Year 1 as parts of a whole. By Year 4, students use number lines and diagrams for complex fractions and mixed numbers. Middle school emphasises visual and practical representations for operations with fractions.
In Tutero’s curriculum, representing fractions involves visualising and manipulating fractions. This skill aids in understanding proportions, ratios, and percentages, critical for real-life applications like statistical representation and financial calculations.
Tutero teaches students to represent fractions through visual models, number lines, and real-life contexts. Lessons emphasise understanding and using fractions in various forms, such as part of a whole, division of quantities, and comparison, vital for developing robust mathematical reasoning
This lesson plan on representing fractions features enabling prompts to help students grasp different ways to visualise and work with fractions, alongside extending prompts for those ready to explore fraction operations and their applications in various contexts. The prompts ensure that students develop a comprehensive and practical understanding of fractions.
In Tutero’s curriculum, representing fractions involves visualising and manipulating fractions. This skill aids in understanding proportions, ratios, and percentages, critical for real-life applications like statistical representation and financial calculations.
Tutero’s representing fractions exercise sheets engage students in activities such as dividing shared resources, comparing athletic performance statistics, or assessing distribution of materials. By representing fractions in diverse and practical contexts, students develop a deeper understanding of fractions' significance and use in everyday life.
This lesson plan on representing fractions features enabling prompts to help students grasp different ways to visualise and work with fractions, alongside extending prompts for those ready to explore fraction operations and their applications in various contexts. The prompts ensure that students develop a comprehensive and practical understanding of fractions.
- You in approximately four minutes
Basics of Fractions
Students start by understanding fractions as parts of a whole, using visual models such as pie charts or fraction bars. They learn how to express and interpret fractions in various forms and begin simple operations with fractions. By Year 5, they have a comprehensive understanding of fractions, including adding, subtracting, multiplying, and dividing fractions, and can apply these skills in practical scenarios.
Visual Representation of Fractions
Initially using concrete objects and pictorial representations, students learn to visualise and understand fractions. They explore different ways to represent fractions, such as number lines or fraction circles, and use these models to compare and manipulate fractions. By Year 5, students are adept at using visual and abstract representations to solve problems involving fractions, enhancing their understanding of proportion, ratio, and percent.
Comparing and Ordering Fractions
Students learn basic strategies for comparing and ordering fractions, starting with like denominators and moving to unlike denominators by finding common denominators. They use visual aids and number lines to help understand and perform these comparisons. By Year 5, students can compare and order complex fractions and mixed numbers, apply these skills in data interpretation, and solve problems in various practical and mathematical contexts.