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

The lesson on multiplying non-unit fractions by an integer is a comprehensive guide for students to enhance their understanding of fractions. It begins with a discussion to define non-unit fractions and prompts students to provide examples. The lesson then progresses to a series of activities where students apply their knowledge. In the first activity, they count the number of ninths to multiply by an integer, using visual aids like fraction bars to represent the problem. For instance, multiplying 2 by 1/9 is illustrated by counting two lots of 1/9. Students are encouraged to use this visual method to solve similar problems such as 4×3/5, 6/9×2, and 3×7/8, with the solutions being presented in both fraction and mixed number forms.

Subsequent activities involve using models and number lines to multiply fractions by integers. For example, students use a model to solve 2×2/5 and then apply the same method to further calculations like 4×2/3, 7/9×3, and 5×7/15. The number line is introduced as another visual tool to help students understand multiplication of fractions, such as in the example of 2×2/5. Reasoning exercises challenge students to use digit cards to complete multiplication problems correctly, reinforcing their understanding of the concept. The lesson also includes independent work where students write down calculations represented by models and use their preferred methods to solve them. Finally, discussions encourage students to explore different representations of multiplication, such as using bar models and number lines, and to consider how repeated addition relates to multiplying fractions by an integer.