Decimals - Decimal Sequences - Presentation

In a comprehensive set of teaching slides focused on decimal sequences, students are set to explore and understand the progression of numbers in decimal form. The lesson begins by defining what a 'sequence' is and prompts students to consider examples using whole numbers. Following this introduction, the presentation delves into decimal sequences specifically. Students are encouraged to discuss and identify patterns within given sequences, such as 1.12, 1.23, 1.34, and so on. They are tasked with completing sequences by recognising the incremental changes between terms, which could be either 'increasing' or 'decreasing' in nature. The concept of a sequence growing or reducing by a consistent amount is a key learning point, and students are asked to articulate these patterns and apply their understanding to fill in missing numbers within a sequence.

Further activities challenge students to write rules for each sequence, requiring careful analysis of the pattern and amount by which the sequence is changing. For instance, they might observe that a sequence increases by 0.15 each time, or by 1.25, and use this information to predict subsequent terms. The exercises progress to more complex reasoning, such as examining sequences that increase by different amounts, like +0.01 and +1, and determining the differences between the terms. Students are given opportunities to independently work out the rules, continue the sequences, and engage in discussions about the characteristics of each term within a sequence. The lesson aims to deepen their understanding of decimals in the context of patterns and sequences, enhancing their mathematical reasoning skills.