Chapter 3: Estimation and
Computation
3.4
Algorithms
for Multiplication and Division
3.4.1. Developing Algorithms for Multiplication
3.4.1.1.
Using
the Area Model for Multiplication
3.4.1.1.1.
Base-Ten Blocks
– see ex. 3.22 p. 163
3.4.1.2.
Your turn p. 164: Do the practice and
the reflect
3.4.1.3.
Developing
and Using Paper-and-Pencil Algorithms for Multiplication
3.4.1.3.1.
Expanded
Algorithm for multiplication –
3.4.1.3.1.1.
Often called the
Partial Product Method
3.4.1.3.1.2.
Follows the
standard algorithm in terms of order
3.4.1.3.1.3.
right to left
method
3.4.1.3.1.4.
emphasis on
place value
3.4.1.3.1.5.
purple box
bottom p. 164
3.4.1.3.2.
Standard
algorithm
3.4.1.3.2.1.
purple box top
p. 165 – NOT correct; see
class for correct example of algorithm
3.4.1.3.2.2.
right to left
method
3.4.1.3.2.3.
no emphasis on
place value
3.4.1.3.2.4.
Your turn p. 165: Do the practice and
the reflect
3.4.1.3.3.
Using
properties of Whole Numbers to Verify Multiplication
3.4.1.3.3.1.
See example 3.24
p. 166
3.4.1.3.3.2.
Your turn p. 166: Do the practice and
the reflect
3.4.2. Developing
Algorithms for Division
3.4.2.1.
Using
models as a foundation for Division Algorithms
3.4.2.1.1.
Base Ten Blocks
3.4.2.1.2.
see example 3.26
p. 170
3.4.2.1.3.
Your turn p. 171: Do the practice and
the reflect
3.4.2.2.
Developing
and Using Paper-and-Pencil Algorithms for Division
3.4.2.2.1.
Expanded
Algorithm for division
3.4.2.2.1.1.
Often called
repeated subtraction
3.4.2.2.1.2.
Can be used as a
place value dependent method
3.4.2.2.1.3.
Your turn p. 172: Do the practice and
the reflect
3.4.2.2.2.
Standard
Algorithm for Division
3.4.2.2.2.1.
See pages 173 –
175
3.4.2.2.2.2.
Your turn p. 176: Do the practice and
the reflect