ML 4th Grade Fraction Benchmarks and Cross Multiply

ML 4th Grade Compare Fractions Cross Multiply

(4.3.D) LO: SW learn to use cross multiplication and benchmarks to compare fractions.

DOL: Given 2 questions, SWBAT compare fractions using benchmarks and cross multiplication with 100% accuracy

Open Ended

Type a way that you may use fractions as an adult?

Open Ended

List one thing that you know about fractions.

How did we do last year?

(4.3.D) Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <. [2] (Readiness)

PREVIEW CHALLENGE

Tiana and Brielle are reading the same book. Over the weekend, Tiana read 3/8 of the book and Brielle read 4/7 of her book. Which student read the most?

What does a half look like in fractions?

We know that fractions can be equal even if they do not have the same denominators and numerators.

Do you notice any pattern with the denominators?

Fill in the Blank

What type of numbers are the denominators?

Open Ended

Can a fraction equal to 1/2 have a denominator that is an odd number?

Why or why not?

Look at the fraction chart. If your numerator is half of your denominator, you know that your fraction is equivalent to 1/2 . Only even denominators can be equivalent to 1/2

Multiple Select

Using your fraction bar, select all the fractions that are equivalent to 1/2.

• 2/8

• 3/6

• 6/8

• 5/10

• 4/7

LETS CHECK

Show what you know!

Multiple Choice

Select the fraction that is equal to 1/2

• 4/7

• 5/10

• 3/8

Multiple Choice

Select the fraction that is equal to 1/2

• 8/8

• 8/12

• 4/8

Multiple Choice

Select the fraction that is equal to 1/2

• 10/20

• 2/5

• 5/9

Adding Fraction that have odd denominators is a little different. There will be split Some larger, some smaller but not equal to a half.

LETS CHECK

Show what you know!

Multiple Choice

Is this fraction more or less than 1/2

• Greater than 1/2

• Less than 1/2

• Equal to 1/2

Multiple Choice

Is this fraction more or less than 1/2

• Greater than 1/2

• Less than 1/2

• Equal to 1/2

Multiple Choice

Is this fraction more or less than 1/2

• Greater than 1/2

• Less than 1/2

• Equal to 1/2

I DO

In 5 minutes, Josue ran 5/8 of a mile and Robert ran 3/7 of a mile. Which student ran the furthest?

Make your quadrant to start solving.

Ask yourself - Are any fractions greater than one whole?

Make your quadrant on your paper

• Ask yourself - Are either of the fractions greater than one half?

• Do I have any denominators or numerators that are the same? Remember same numerator, see which denominator cuts the whole into more pieces. same denominator, ask yourself which one has more pieces.

• Create your solution sentence

• Solve

In 5 minutes, Josue ran 5/8 of a mile and Robert ran 3/7 of a mile. Which student ran the furthest?

5/8 is more than one half and 3/7 is less so 5/8 is greater.

You can check using cross multiplication.

Multiple Select

WE DO

On the last test, 8/16 of Mr. Mata's class passed the test. In Mrs. Lewis's class 8/15 of her students passed. Which class had the highest fraction of students that scored 70 or higher?

Select all the boxes that are greater than 1/2

• No fractions are greater than 1/2

• 8/16 is greater than 1/2

• 8/15 is greater than 1/2

Multiple Choice

WE DO

On the last test, 8/16 of Mr. Mata's class passed the test. In Mrs. Lewis's class 8/15 of her students passed. Which class had the highest fraction of students that scored 70 or higher?

• Mr. Mata's Class 8/16

• Mrs. Lewis's Class 8/15

• Both classes are equal

Multiple Choice

WE DO

On the last test, 8/16 of Mr. Mata's class passed the test. In Mrs. Lewis's class 8/15 of her students passed. Which class had the highest fraction of students that scored 70 or higher?

What numbers do you get when you check with the butterfly method?

• 120, 124

• 120, 128

• 128, 132

• 126, 120

Multiple Select

YOU DO

Destiny is making a cake. It has 3/5 cup of walnuts and 1/3 cup of raisins. Will the cake have more raisins or walnuts?

Select all that apply.

• 3/5 is greater than 1/2

• 1/3 is greater than a 1/2

• both fractions are less than.

Multiple Choice

YOU DO

Destiny is making a cake. It has 3/5 cup of walnuts and 1/3 cup of raisins. Will the cake have more raisins or walnuts?

What numbers did you get when you check using the butterfly method?

• 2, 3

• 15, 6

• 9, 5

• 5,3

Multiple Choice

YOU DO

Destiny is making a cake. It has 3/5 cup of walnuts and 1/3 cup of raisins. Will the cake have more raisins or walnuts?

• raisins

• walnuts

• equal amounts of both

Multiple Choice

PREVIEW CHALLENGE

Tiana and Brielle are reading the same book. Over the weekend, Tiana read 3/8 of the book and Brielle read 4/7 of her book. Which student read the most?

• Brielle 4/7

• Tiana 3/8

• Both students read the same amount.

Multiple Choice

DOL

A carpenter cut two boards. One board was 4/7 of a yard. The other board was 1/2 a yard. Which board was the longest?

Select the correct comparison.

• 4/7 is greater than one half

• 4/7 is less than one half

Multiple Choice

DOL

A carpenter cut two boards. One bird was 4/7 of a yard. The other board was 1/2 a yard. Which board was the longest?

• 4/7 is the longest

• 1/2 is the longest

• Both boards are equal

Multiple Select

DOL

On a multiplication quiz, Josue got 6/11 of the questions correct. On the 2nd quiz, he got 4/9 of the questions right.

What fractions are greater than 1/2

• 6/11 is greater than a half

• 4/9 is greater than a half

• Both fractions are less than 1/2

Multiple Choice

DOL

On a multiplication quiz, Josue got 6/11 of the questions correct. On the 2nd quiz, he got 4/9 of the questions right.

What two numbers do you get when you cross multiply these two fractions?

• 12, 99

• 27, 44

• 54, 44

• 12, 15

Multiple Choice

DOL

On a multiplication quiz, Josue got 6/11 of the questions correct. On the 2nd quiz, he got 4/9 of the questions right.

Which fraction is the greatest?

• 6/11 is the greatest.

• 4/9 is the greatest.

• Both fractions are equal.