Comparing Fractions with Denominators of 10 and 100 Using a Grid Model

This lesson teaches how to compare fractions with denominators of 10 and 100 using grid models. It explains the roles of numerators and denominators in fractions and addresses common misunderstandings about fraction sizes. By using practical examples, the lesson demonstrates that a larger denominator does not necessarily mean a larger fraction. The grid model is used to visually compare fractions, emphasizing that the whole remains the same size regardless of how many pieces it is divided into.

What is the relationship between the numerator and denominator in a fraction?

What does the denominator in a fraction represent?

What common mistake do students make when comparing fractions with different denominators?

Explain why a larger denominator does not always mean a larger fraction.

How can you compare the fractions 5/10 and 30/100 using a grid model?

In your own words, explain how the size of the whole remains constant when comparing fractions.

Describe the process of determining which fraction is larger when comparing 8/10 and 40/100.