3-5
This lesson encourages students to explore the array model of
multiplication, a model that lays an important foundation for the later
study of area. The lesson focuses on the factors 4 and 6. Students will
also explore products with 0 or 1 as a factors. First students make
arrays with counters, and then they create a second concrete example of
the array model using toothpicks. They also write problems which
involve multiplication.
3-5
This lesson encourages students to explore another model of
multiplication, the balance beam, and another relationship, the inverse
of multiplication. This exploration leads naturally into representing
multiplication facts in equation form. In addition to extending their
understandings of the concept of multiplication, students begin to
practice the multiplication facts by playing the Product Game.
3-5
Students use a web-based calculator to create and compare counting
patterns using the constant function feature of the calculator. Making
connections between multiple representations of counting patterns
reinforces students understanding of this important idea and helps them
recall these patterns as multiplication facts.
3-5
After using an interactive Web site to find patterns in the multiplication tables, the students practice multiplication facts and record their current level of mastery of the multiplication facts on their personal multiplication chart.
3-5
By playing card games and using the The Product Game
applet, students practice the multiplication facts. As students
continue to master their facts, the teacher closely monitors their
progress.
3-5
Students organize the data collected about county populations into a spreadsheet and create a graph to help them better understand the data.
3-5
Students begin 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 12.
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.
