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The purpose of this Warm-up is to elicit the idea that the size and the number of unit fractions can help us compare fractions. Students can see that the two diagrams have the same-size parts, but they cannot see how much of one diagram is shaded, prompting them to think about the number of shaded parts. While students may notice and wonder many things about these images, what fractions could be represented by the partially hidden strip is the important discussion point.
What do you notice? What do you wonder?
The purpose of this activity is for students to compare two fractions with the same denominator. Students may use any representation to reason how the size or the length of the parts in the two fractions are the same because the denominator is the same, but that there are different numbers of those parts because the numerators are different (MP2). Students also are reminded about the meanings of the symbols > and <.
Share and display responses. Ask students to read aloud each statement that is shared.
For each pair of fractions, circle the fraction that is greater. Explain or show your reasoning.
Use the symbol > or < to make each statement true. Explain or show your reasoning.
If you have time: Write a number for the unknown numerator of the fraction to make each statement true. Explain or show your reasoning.
Spin to Win Same Denominator Recording Sheet
Spin to Win Same Denominator Spinner
The purpose of this activity is for students to practice comparing fractions with the same denominator while playing a game. Students spin a spinner for the numerator of their fractions, and then locate and label the fractions on a number line to determine which fraction is greater.
In this game, you will record fractions on number lines. Choose a writing utensil in a color different than your partner's, so you can tell which fraction is whose on each number line.
“Today we compared fractions with the same denominator.”
“How do you compare fractions with the same denominator? Does your strategy always work?” (I can just look at the numerators to see which is greater. This always works because the whole is split into the same number of same-size parts if the denominator is the same, so we just need to think about how many of those parts we have, which is given by the numerator.)