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 does the denominator in a fraction represent?

• The number of whole pieces

• The number of pieces a whole is divided into

• The size of the whole

• The total value of the fraction

Why might students mistakenly think that a fraction with a larger denominator is larger?

• Because they confuse fractions with whole numbers

• Because they are not familiar with fractions

• Because they think the numerator is more important

• Because they believe the fraction represents a larger whole

How can grid models help in comparing fractions?

• By calculating the exact value of the fraction

• By visually representing the size of each piece

• By simplifying the fractions

• By showing the size of the whole

Which fraction is greater: 5/10 or 30/100?

• 30/100

• 5/10

• They are equal

• It depends on the context

What is the purpose of using a grid model in fraction comparison?

• To convert fractions to decimals

• To visually compare the size of fractions

• To change the size of the whole

• To ensure fractions are equivalent

In the example of 8/10 and 40/100, which fraction is larger?

• 8/10

• 40/100

• They are equal

• It cannot be determined

Why is it important to understand the size of the whole when comparing fractions?

• Because it simplifies the comparison

• Because it changes the value of the fraction

• Because it determines the numerator

• Because it affects the size of each piece