Fractions - Number Sequences - Presentation

In an engaging series of slides designed for teaching fractions and number sequences, students are introduced to the concept of counting forwards and backwards using fractional increments. The lesson prompts students to explore the behaviour of numerators and denominators during this process, encouraging them to think critically about whether these components of a fraction change or remain constant. Through activities that utilise a counting stick, learners are challenged to count in steps of various fractions, such as halves, quarters, and eighths, starting from different points. They are encouraged to consider the rules of fraction counting, particularly the consistency of the denominator and how to adjust the numerator accordingly.

Further activities in the lesson include completing missing values on a number line and finding missing fractions in sequences, which helps to reinforce the understanding of fractional intervals. Students are also invited to engage in a practical 'fraction game' where they physically interact with fraction cards, placing their feet on the cards to represent different fractions and thus gaining a tactile understanding of the concept. The lesson concludes with independent work where students are tasked with counting using the counting stick, completing number lines, and determining correct counting in given sequences. These activities not only solidify their grasp of fractions but also encourage them to discuss and reason out the principles behind the sequences, such as interval sizes and the conversion of mixed numbers to improper fractions.