Cluster 2 Review
using models to explore multiplication and division
Multiplying Multidigit numbers
Multiplication
Students should work through some practice problems, beginning with area model:
2 digit x 1 digit
2 digit x 2 digit
3 digit x 2 digit
Once they master the area model, they can connect it to the partial products model.
2 digit x 1 digit
2 digit x 2 digit
3 digit x 1 digit
To make it a game, roll dice to determine the factors. Have your child solve the problem on paper or on a whiteboard. Then have them check it with a calculator.
See the videos below for examples of the strategies.
Volume
in science, we learned that volume is the amount of space something takes up. It is measured in 3-dimensional cubic units. We can think of filling space with cubic units (cubic inches, cubic meters, cubic feet, etc.)
Through discussions of their buildings they develop a common language for describing their prisms (ex. Rows, columns, layers, length, width, base, height, etc.) and connect that language to symbolic notation (ex. A base of 3 rows and 4 columns with 5 layers can be written as 3 x 4 x 5).
Through these experiences students develop the formula for volume. (from NCml2)
Many students who have trouble with this concept get confused between linear, square, and cubic units. Be sure to use units when discussing volume! To find volume, we have to use linear units (length, width, height), square units (area of the base), and cubic units. It can get confusing unless students are very clear about what kind of unit they are counting!