Comparing Fractions Using Benchmarks

The lesson focuses on comparing fractions using 1/2 as a benchmark. It explains how to identify fractions equivalent to 1/2 by checking if the numerator is half the denominator. The video explores the limitations of using odd denominators and demonstrates how 1/2 can be a useful reference for comparing and estimating fractions. Various examples illustrate how to compare fractions when one or neither is equivalent to 1/2, using both visual models and logical reasoning.

What is the main objective of this lesson?

• To learn about whole numbers

• To explore multiplication

• To compare fractions using 1/2 as a benchmark

• To understand decimals

Which of the following fractions is equivalent to 1/2?

• 7/10

• 5/9

• 2/4

• 3/5

How can you identify a fraction equivalent to 1/2?

• The numerator is one less than the denominator

• The numerator is equal to the denominator

• The numerator is double the denominator

• The numerator is half the denominator

Can a fraction with an odd denominator be equivalent to 1/2?

• Only if the numerator is odd

• Yes, always

• No, never

• Yes, sometimes

What is the relationship between 1/3 and 1/2?

• 1/3 is less than 1/2

• 1/3 is equal to 1/2

• 1/3 is double 1/2

• 1/3 is greater than 1/2

Why is 1/2 used as a benchmark in fraction comparison?

• It is a common reference point

• It is the largest fraction

• It is easier to calculate

• It is the smallest fraction

What tool can help students understand fractions better?

• Calculators

• Rulers

• Protractors

• Manipulatives

How can you determine if 4/5 is greater than 1/2?

• By visualizing with manipulatives

• By using a calculator

• By adding the fractions

• By comparing numerators

Which fraction is less than 1/2?

• 4/3

• 9/5

• 7/8

• 5/12

What is the equivalent of 6/12?

• 2/3

• 1/3

• 3/4

• 1/2