Decimals and Percentages - Equivalent Fractions, Decimals and Percentages - Planning

The lesson plan for Year 5 students in their second week of learning about decimals and percentages focuses on understanding and identifying equivalent fractions, decimals, and percentages. The session opens with a recap of prior knowledge, followed by a series of activities designed to deepen students' comprehension of these mathematical concepts. The first activity utilises a bead string to help visualise decimal numbers, which students then convert into percentages and fractions, practicing simplification where possible. Subsequent activities involve converting given fractions into decimals and percentages using bar models and placing various representations of fractions, decimals, and percentages accurately on a number line. The resources provided include worksheets and a presentation, and key vocabulary such as 'numerator', 'denominator', and 'proportion' are highlighted, with vocabulary cards available for reinforcement.

Throughout the lesson, students engage in group work and independent tasks, applying their knowledge to fluency and reasoning exercises. They are encouraged to discuss strategies and share answers, aiding in the understanding of complex concepts like converting fractions to decimals and percentages with denominators of 100. The lesson concludes with a plenary that addresses common misconceptions and ensures that students are comfortable with percentage and decimal equivalents of commonly used fractions. To cater to varying levels of ability, differentiated activities are provided, ranging from basic fluency to greater depth challenges, including multi-step problems and comparisons using a number line. The lesson aims to ensure that students can confidently convert between fractions, decimals, and percentages and understand their interrelationships.