A focused Grade 3 learning session for Whole Numbers as Fractions using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can write a whole number as a fraction.
Whole Numbers as Fractions means using equal parts, number lines, and clear fraction language to describe parts of a whole.
Question: Look at the bar diagram. It shows \(\frac{4}{2}\). What whole number does this equal?
Why it works: The bar shows \(4\) halves. \(4\) halves make \(2\) whole units. \(\frac{4}{2} = 2\).
Answer: \(2\)
Question: Look at the circle models. Which shows \(1\) whole in two different ways?
Answer: Both show \(1\) whole
Question: The bar shows \(\frac{9}{3}\). What whole number is this?
Answer: \(3\)
Question: Sam has \(\frac{12}{4}\) yards of ribbon. How many whole yards does he have?
Why it works: \(\frac{12}{4}\) means \(12\) fourths. \(4\) fourths \(= 1\) whole, so \(12 \div 4 = 3\) wholes.
Answer: \(3\) yards
Whole Numbers as Fractions becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Equal parts first, fraction name second.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
Which fraction equals the whole number \(3\)?
Answer B: \(\frac{3}{1}\)
Any whole number can be written as that number over \(1\). So \(3 = \frac{3}{1}\). (D) equals \(1\), not \(3\).
Which fraction is equal to the whole number \(5\)?
Answer A: \(\frac{5}{1}\)
Any whole number with denominator \(1\) equals that number. \(5 = \frac{5}{1}\). Check: (B) is all fifths, (C) is a unit fraction, (D) is not whole.
What whole number is equal to \(\frac{4}{4}\)?
Answer A: \(1\)
When numerator \(=\) denominator, you have all the parts of one whole. \(\frac{4}{4}\) has \(4\) fourths, which makes \(1\) whole.
Which fraction equals the whole number \(2\)?
Answer C: \(\frac{2}{1}\)
\(2\) equals \(\frac{2}{1}\) (two wholes divided into one part each).
What whole number is \(\frac{6}{6}\)?
Answer C: \(1\)
A fraction where numerator \(=\) denominator always equals \(1\). \(\frac{6}{6} = 1\).
Look at the bar diagram. It shows \(\frac{4}{2}\). What whole number does this equal?
Answer B: \(2\)
The bar shows \(4\) halves. \(4\) halves make \(2\) whole units. \(\frac{4}{2} = 2\).
What whole number equals \(\frac{6}{3}\)? Use the bar diagram to help.
Answer D: \(2\)
\(6\) thirds equals \(2\) wholes. Each whole has \(3\) thirds, so \(6 \div 3 = 2\) wholes.
Which whole number equals \(\frac{8}{4}\)?
Answer A: \(2\)
\(\frac{8}{4}\) means \(8\) fourths. \(4\) fourths make \(1\) whole, so \(8\) fourths make \(2\) wholes.
Which fraction equals \(1\) whole?
Answer B: \(\frac{3}{3}\)
When numerator \(=\) denominator, the fraction equals \(1\) whole. \(\frac{3}{3} = 1\).
Look at the circle models. Which shows \(1\) whole in two different ways?
Answer B: Both show \(1\) whole
\(\frac{2}{2}\) and \(\frac{4}{4}\) are both \(1\) whole. Numerator \(=\) denominator means you have all the parts.
Noah has \(\frac{3}{1}\) cookies. How many whole cookies does he have?
Answer D: \(3\)
\(\frac{3}{1} = 3\) wholes. Any number divided by \(1\) equals itself.
