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In this lesson, students interpret situations and solve problems that involve products of a whole number and a fraction. Students solve story problems in a way that makes sense to them and match stories with diagrams and expressions. They work with expressions and flexibly interpret a diagram to extend their understanding of the relationship between fractions and multiplication and division. For example, consider this image:
It shows because there are 4 whole squares divided into 3 equal parts with 1 of those parts shaded. It also shows because there are 4 pieces shaded and each is of a unit rectangle. It shows the multiplication expression because there are 4 groups of shaded. It shows the multiplication expression because there is a total of 4, and of that is shaded.
Warm-up
Activity 1
Activity 2
Lesson Synthesis
Cool-down