Fractions - Multiply a Non-Unit Fraction by an Integer - Worksheet

This worksheet is designed to enhance children's skills in multiplying non-unit fractions by whole numbers. It builds on their existing knowledge of multiplying unit fractions by integers, employing similar models and methods to illustrate the concept. The worksheet encourages discussion about the most efficient method for solving various problems, and it emphasizes the commutative property of multiplication by showing that the order of the fraction and the integer can be reversed without changing the result. Students are introduced to three different methods for multiplying fractions by integers, allowing them to choose the one they find most effective.

Students are tasked with applying their understanding through reasoning and problem-solving exercises. They are presented with models such as number lines and shaded grids to visually represent the multiplication process. For example, they might count the number of sixths in a model to find the product of 5/6 multiplied by 3. The worksheet also includes challenges where students must balance calculations and use digit cards to complete multiplications. Errors in reasoning, such as incorrectly counting the total number of boxes to determine the denominator, are addressed, guiding students towards a deeper comprehension of fraction multiplication. These activities not only reinforce fluency and precision in calculations but also encourage critical thinking and the application of various strategies to solve more complex problems.