Max Maths, Year 5, Learn together, Review of equivalent fractions (2)

In the 'Max Maths' curriculum for Year 5, students revisit the concept of equivalent fractions, a fundamental aspect of their mathematical understanding. On workbook pages 134 to 135, the lesson focuses on the idea that fractions can appear different but still represent the same value. These fractions, despite having distinct numerators and denominators, are known as equivalent fractions. For example, the fractions 1/2, 3/6, 4/8, and 5/10 are all equivalent to each other, as they all represent the same proportion of a whole.

The character Han observes a pattern with these equivalent fractions and shares his insight. He notes that by multiplying both the numerator and the denominator of a fraction by the same number, one can generate an equivalent fraction. This is demonstrated through the fraction 1/2, which becomes 3/6 when both parts are multiplied by 3, and 5/10 when multiplied by 5. Han further tests his discovery with another set of fractions, starting with 3/4 and creating 6/8 by multiplying by 2, and then 9/12 by multiplying by 3. Through these exercises, students learn the systematic process of creating equivalent fractions, enhancing their understanding of how to identify and generate them.