Compare Fractions While Building Understanding task cards provide a developmental sequence to build understanding as students compare two fractions to determine whether they are <, >, or =.The sequence of instruction is:
1. Numerator is always the number one.
2. Denominators are the same.
3. Mixed practice #1 - Numerators are always one or the denominators are the same.
4. Numerators are the same and greater than one.
5. Mixed Practice #2 - Numerators are one. Denominators are the same. Numerators are the same and greater than one.
Each step in the sequence includes 12 fraction model comparison cards and 12 numerical fraction comparison cards, with a total of 120 task cards in all. This is so that students can visually see which fraction is greater as they explore and identify the relationship between the numerical value of the denominator and the size of the fractional parts. Students need to comprehend each step in the sequence before they move on to the next. They should be able to answer whether a fraction is greater than, less than, or equal to another and explain why.
Comparing Fractions while Building Understanding task cards can be used in a small group, for remediation or projected for instruction of a large group. Each step in the sequence will take about 30 minutes with the entire sequence taking a total of 150 minutes. The recommended time frame for the sequence is over 3-5 days. However, pace of instruction will vary based on student comprehension of each stage in the sequence.
Math Standards Include:
Common Core: 3.NF.A.3
VA SOLs: 3.3a,c & 4.2