3-5
Students continue to examine fractions as part of a set. This lesson helps students develop skill in problem solving and reasoning as they examine relationships among the fractions used to describe part of a set of eighteen.
3-5
Students use twelve eggs to identify equivalent fractions. Construction paper cutouts are used as a physical model to represent various fractions of the set of eggs, for example, 1/12, 1/6, and 1/3. Students investigate relationships among fractions that are equivalent.
3-5
The previous lessons focused on the set model where all objects in the
set are the same size and shape. Students also need work with sets in
which the objects “look” different. In the real world, we are often
faced with fraction situations where the objects in the set are not
identical. For this lesson, students use fractions to describe a set of
attribute pieces. Students develop skill in problem solving and
reasoning as they think about their set and how to create new sets
given specific fractional characteristics.
3-5
During this lesson, students create their own classroom survey or use previously generated questions to study the class and describe the set [class] in fractional parts. This lesson requires that students identify fractions in real-world contexts from a set of items that are not identical. This lesson is integrated with other areas of the math curriculum, including data analysis and statistics.
3-5
This lesson gives students another opportunity to explore fractions using the set model. This lesson is integrated with other areas of the math curriculum including data analysis and statistics.
3-5
This lesson promotes problem solving and reasoning with fractions as students investigate the relationships between various parts and wholes. It also focuses on representation because students are given multiple opportunities to investigate the relative value of fractions. Students use communication skills as they work in pairs to articulate and clarify their understanding of fraction relationships.
3-5
Students use virtual pattern blocks to problem solve and reason with fractions. They investigate relationships between parts and wholes using another representation of a region model, virtual fractions. Students use conversation to explain their understandings in order to extend and clarify their mathematical content knowledge.
3-5
This lesson builds on the previous two lessons by focusing on the identification of fractional parts of a region and by recording them in standard form. Students continue to develop communication skills by working together to express their understanding of fraction relationships and to record fractions in written form.
3-5
In this lesson, the students expand the number of fractions they can represent with pattern blocks by increasing the whole. Instead of representing the whole with one yellow hexagon, the students explore fractional relationships when two, three, and four yellow hexagons constitute the whole.
3-5
This lesson focuses on the relationship between parts and the whole.
These relationships were developed earlier and require the students to
consider the size or value of the same fraction when different "wholes"
are compared (i.e., the value of
x is relative to the whole;
x of a small pie is not equivalent to
x
of a large pie). This lesson promotes problem solving and reasoning as
the students compare similar fractions with different "wholes."
Students develop communication skills as they work in pairs and share
their understanding about the relationship between the value of a
fraction and the whole.