Comparing Fractions with Benchmarks and Cross multiplication

LO: SWBAT use benchmark fractions and cross multiplication when comparing two fractions with different numerators and denominators.

DOL: SW use benchmark fractions and cross multiplication when comparing two fractions with different numerators and denominators correctly in at least 4 out of 5 questions.

TEKS 4.3 (D) compare two fractions with different denominators and represent the comparison using the symbols >,=, or <.

​Comparing Fractions!

Multiple Choice

What will we be learning about today?

• Equivalent fractions

• Comparing fractions with benchmark fractions and cross multiplication

• Generating fractions

• Turtles...lots of turtles

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Vocabulary Chart

Numerator

Denominator

Fraction

Counts how many equal

parts are shaded or described

Tells the total number

of equal parts or

groups into which the
whole group has been

divided into.

A number that

represents a part of a

whole.

11

Vocabulary Chart

Compare

To decide if one number

is greater than or less
than another number;

using comparison

symbols.

Benchmark Fractions

Equivalent Fractions

Fractions that are common and easy to recognize.

Fractions that name
the same part of a

whole region or
distance on a
numberline.

Open Ended

What is a benchmark fraction?

Multiple Choice

What benchmark is 4/8 closest to?

• 1/3

• 1/2

• 1

Multiple Choice

What benchmark is 7/8 closest to?

• 1

• 1/2

• 1/4

Multiple Choice

What benchmark is 2/7 closets to?

• 0

• 1/2

• 1

Multiple Choice

Choose the largest fraction.

• $$\frac{2}{3}$$
  

• $$\frac{2}{4}$$

• $$\frac{2}{6}$$

• $$\frac{2}{8}$$

Multiple Choice

Choose the smallest fraction.

• $$\frac{1}{4}$$
  

• $$\frac{1}{5}$$

• $$\frac{1}{8}$$

• $$\frac{1}{10}$$

Let's read a story problem.

​Think about how you would solve this problem. Talk to your shoulder partner about the strategy that you would use.

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Let's solve the story problem below.

How can you compare the fraction values using benchmark fractions?

20

Let's solve the story problem below.

How can you solve the story problem with cross multiplication?

​How can you make these fractions equivalent?

Multiple Choice

Daphne and Jason painted two walls of the same size and shape. Daphne painted $$\frac{4}{6}$$ of her wall and Jason painted $$\frac{5}{12}$$ of his. Who painted more?

Use one benchmark fractions AND cross multiplication to prove your answer.

• Daphne

• Jason

• They both painted an equal amount.

Multiple Choice

Nico ate $$\frac{2}{3}$$ of a candy bar. Parker ate $$\frac{5}{9}$$ of the same size candy bar. Who ate a greater amount of their candy bar? Use benchmark fractions AND cross multiplication to prove your answer.

• Parker ate a greater amount of his candy bar.

• They both ate the same amount of their candy bar.
• Nico and Parker ate equal fractions of their candy bars.
• Nico ate a greater amount of his candy bar.

Multiple Choice

Adele finished $$\frac{1}{3}$$ of her homework. Yukino finished $$\frac{3}{6}$$ of the same homework assignment. Who finished the greater amount of their homework.

• $$\frac{1}{\ 3\ }\ >\frac{3}{6}$$

• $$\frac{3}{6}\ >\ \frac{1}{3}$$

• $$\frac{2}{3}\ >\frac{3}{6}$$

• None of these

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SW use benchmark fractions and cross multiplication when comparing two fractions with different numerators and denominators correctly in at least correctly on 4 out of 5 questions.