Finding Fractions of a Set
Students will be able to identify fractions within a set.
- Review with students what they know about fractions. Review numerator, the number on top of the fraction, denominator, the number on the bottom of the fraction that represents the total of the set, or the group of values being observed.
- Tell students that today they will learn about fractions, or specific portions, of a set. Explain that fractions from a set are similar to the fractions they have already learned. The main difference is that we can think of the set as a whole and each item that makes up the set as an equal part.
- Call several volunteers up to the front of the group. Explain to the students that the group of volunteers together is the whole. Count each student and label the total as the denominator. Each person in the group is a part. Model finding and writing the different types of fractions that can be found in the set. For example, the fraction of boys, the fraction of girls, fraction of students wearing glasses, etc.
Explicit Instruction/Teacher Modeling(10 minutes)
- Tell students that today they will practice finding fractions of a set using different colored craft sticks.
- Model pulling out a mixed set of craft sticks from the bag labeled "number 1" that was prepared ahead of time.
- Model counting how many sticks there are total. Label this as the denominator. Model counting the sticks of each color and labeling the corresponding fraction.
- Repeat using the next clear bag labeled "number 2" as an example. Have students record the fractions in their notebooks, making sure to label each fraction by color.
Guided Practice/Interactive Modeling(20 minutes)
- Have students pair up to work in teams. Give each team a clear bag labeled "number 3" to "number 15."
- Tell students to label their notebook pages 3-15 to correspond with the fractions for each bag.
- Have students work together to determine the fractions for each set in the bags and label them in their notebooks.
- Have students switch bags every few minutes to complete as many sets as time allows.
Independent Working Time(10 minutes)
- Distribute Fractions of a Set: Spring Things worksheet. Have students complete the worksheet independently after going over the example.
- Enrichment: For students in need of a challenge, encourage students to create a unique set of their own by drawing a picture. Have the student write the fractions that correspond to the set.
- Support: For students in need of support, reduce the size of the set or colors in each set.
- Circulate as students work in pairs determining different fractions. Ask questions of the students to determine their level of understanding.
- Collect the independent practice worksheets at the end of the lesson to review for mastery.
Review and Closing(10 minutes)
- Gather students together to discuss the activity.
- Ask students to describe how they determined how many sticks were in the whole group. Ask students if they see a relationship between the numerators and the total number for the group.
- Show a final set of sticks and have students write the correct fraction on whiteboards and hold up their answers for a quick visual assessment.