4.3F Estimating Reasonableness of Fractions

4.3F Evaluating Reasonableness of Fractions

Labelling

Which of the three statements below is a lie? Be ready to explain how you made your choice.

Drag labels to their correct position on the image

Lie

Truth

Drag and Drop

Decide if the fraction is less than half, equal to half, or greater than half.



$$\frac{3}{7}$$ is ​

Placeholder

Drag these tiles and drop them in the correct blank above

less than half

equal to half

greater than half

Drag and Drop

Decide if the fraction is less than half, equal to half, or greater than half.



$$\frac{1}{5}$$ is ​

Placeholder

Drag these tiles and drop them in the correct blank above

less than half

equal to half

greater than half

Drag and Drop

Decide if the fraction is less than half, equal to half, or greater than half.



$$\frac{6}{10}$$ is ​

Placeholder

Drag these tiles and drop them in the correct blank above

greater than half

equal to half

less than half

Drag and Drop

Decide if the fraction is less than half, equal to half, or greater than half.



$$\frac{5}{9}$$ is ​

Placeholder

Drag these tiles and drop them in the correct blank above

greater than half

equal to half

less than half

Drag and Drop

Decide if the fraction is less than half, equal to half, or greater than half.



$$\frac{1}{3}$$ is ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

less than half

equal to half

greater than half

Open Ended

What do you notice?

A store sells bags of potato chips

$$\frac{1}{3}$$ of the bags are BBQ flavored

$$\frac{3}{5}$$ of the bags are cheese flavored

The rest of the bags are plain chips

Open Ended

Prove me wrong.

"More than half of the bags are plain chips."

Open Ended

Prove me wrong.

"There are no bags of plain chips."

Open Ended

Prove me wrong.

"Exactly half of the bags are plain chips."

Multiple Choice

Martha bought a new box of cereal. In one week, she ate $$\frac{4}{9}$$ of the cereal. Which is closest to the fraction of the cereal she had left?

• less than $$\frac{1}{4}$$ of the cereal was left

• less than $$\frac{1}{2}$$ of the cereal was left

• about $$\frac{1}{2}$$ of the cereal was left

• about $$\frac{1}{4}$$ of the cereal was left

Multiple Choice

Greg sorted his collection of baseball cards.

-Greg will give $$\frac{1}{5}$$ of his collection to his brother.

-Greg will sell $$\frac{4}{10}$$ of his collection to a card shop.

Which statement is true?

• Greg will have exactly half of his collection left.

• Greg will sell more than half of his collection to a card shop.

• Greg will have less than half of his collection left.

• Greg will give more than half his collection to his brother.

Multiple Choice

Hailey and Wendy painted an entire wall together. Hailey painted $$\frac{3}{7}$$ of the wall, and Wendy painted the rest. Which statement is true?

• Hailey painted less than half the wall, and Wendy painted more than half the wall.

• Hailey painted more than half the wall, and Wendy painted less than half the wall.

• Each girl painted more than half the wall.

• Each girl painted less than half the wall.