3-5
A post office is a good example of a real-world environment in which numbers of different types can be found. Whole numbers and fractions are introduced. Numbers that occur in a greater variety of measurement situations can also be introduced. At this level, students should be encouraged to elaborate on the way numbers are used.
3-5
Students are familiar with sports and sporting events. Whole numbers
and fractions are used to represent the size of groups or collections
and measurements involving lengths, weights, and times in many sporting
and game situations. This knowledge can be used to give the students
another picture of numbers.
3-5
In this lesson, students generate products using the number line model.
This model highlights the measurement aspect of multiplication and is a
distinctly different representation of the operation. The order
(commutative) property of multiplication is also introduced. Students
are encouraged to predict products and to answer puzzles involving
multiplication.
3-5
This lesson builds on the previous lesson and encourages students to
explore another model for multiplication, the familiar set model.
Students find products using equal sets and present results in the form
of a table. The students apply their knowledge about multiplication in
the creation of pictographs.
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
Students use their knowledge from the previous lesson to gather data on
ten of their favorite counties (places they might like to live, visit,
etc.) within a specific state. Students will hone their place value
skills by representing numbers in various ways including standard,
written, and expanded form.
3-5
In the final lesson of this unit, students recognize differences in representing and analyzing categorical and numerical data. Students also identify examples of each type of data.
9-12
As you review student work in this unit, it is important to remember
the mathematical objectives/expectations of this Unit Plan that are
stated in
Principles and Standards for School Mathematics.
