Exploring Rectangle Properties

Draw rectangles with areas of 18 cm²

. What happens to the width when the length increases?

Draw rectangles with perimeters of 18 cm. What happens to the width when the length increases?

Questions:
1) If the length doubles, triples, etc., how does the width change?

2) Suppose the length is x cm and the width is y cm. If the length doubles, triples, etc., how does the value of the width change?

3) Express the relationship between length and width with an equation. Can you write your equation in any other way?

4) Draw a graph representing the relationship between length and width. What are the characteristics of the graph?

(Adapted from Mathematics for Elementary School 6A, Tokyo Shoseki)