Understanding Fractions and Equivalence

This video tutorial covers the concept of equivalent fractions, explaining how fractions are equivalent when they represent the same amount. It uses models and practical examples, such as brownies and pizzas, to demonstrate equivalence. The tutorial also explains the roles of numerators and denominators, how to compare fractions using number lines, and the importance of the vinculum in fraction operations. It concludes with methods to create equivalent fractions through multiplication and practical problem-solving applications.

What makes two fractions equivalent?

• They represent the same amount.

• They have the same numerator.

• They are both improper fractions.

• They have the same denominator.

How can models help in understanding equivalent fractions?

• By using different colors.

• By showing different shapes.

• By showing different numbers.

• By using the same size parts to match lengths.

Which of the following is an example of equivalent fractions?

• One whole cookie and three half cookies.

• One whole pie and four quarter pies.

• One whole apple and two whole apples.

• One whole pumpkin and two half pumpkins.

How did Mrs. Kim demonstrate equivalent fractions with brownies?

• By cutting them into thirds.

• By baking more brownies.

• By using different colors.

• By using grid paper to model the cuts.

What happens when you split a whole into more parts?

• The parts become larger.

• The parts become smaller.

• The parts remain the same size.

• The parts disappear.

What does the numerator in a fraction represent?

• The total number of parts.

• The number of equal parts in all.

• The size of each part.

• The number of parts counted or shaded.

How can you create an equivalent fraction?

• By subtracting the same number from the numerator and denominator.

• By multiplying both the numerator and denominator by the same number.

• By adding the same number to the numerator and denominator.

• By dividing both the numerator and denominator by the same number.

What does a number line help with when comparing fractions?

• It shows the fractions as whole numbers.

• It helps visualize which fraction is greater or smaller.

• It shows the fractions as decimals.

• It helps convert fractions to percentages.

What is the fraction bar called?

• A numerator.

• A vinculum.

• A denominator.

• A fraction line.

Why does a larger denominator result in smaller parts?

• Because the whole is split into fewer pieces.

• Because the numerator is larger.

• Because the whole is split into more pieces.

• Because the numerator is smaller.