Fractions - Multiply a Mixed Number by an Integer - Presentation

In a series of engaging and interactive slides, students are invited to deepen their understanding of fractions through the process of multiplying a mixed number by an integer. The lesson aims to solidify their grasp of this mathematical concept by encouraging them to consider what aspects of the mixed number change and what remain constant during multiplication. The initial activity prompts students to use repeated addition as a method to multiply mixed numbers by integers. For example, to multiply 2 3/4 by 2, students add 2 3/4 to itself, resulting in 5 1/2, which can also be expressed as 5 2/4. This visual and practical approach helps students to see the connection between addition and multiplication when dealing with fractions.

Building on this foundation, further activities guide students through partitioning fractions to simplify the multiplication process. For instance, when multiplying 2 2/3 by 4, students first multiply the whole number 2 by 4 to get 8, and then multiply the fraction 2/3 by 4 to get 8 2/3, which simplifies to 10 2/3. This step-by-step method reinforces their understanding of fractions and integers in a multiplication context. The lesson also introduces the conversion of mixed numbers to improper fractions to facilitate easier calculation, such as turning 1 7/8 into an improper fraction before multiplying it by 3. Through a combination of independent work, reasoning exercises, and class discussions, students are encouraged to explore different representations of mixed numbers and apply their knowledge to solve increasingly complex problems.