Multiplication
Strategies for Faster Mental Math
Partial Products Method
Using the expanded form of
the factors and the distributive
property, we break down the factors into a set of easier to solve
questions. The product of these parts are then added together to get a final
product.
Ex) 345
X 8 =
(300+
40+ 5) X 8=
(300
X 8) + (40 X 8) + (5 X 8) =
2400 + 320 + 40 = 2760
Associative Property
When given
three or more factors, group together factors that result in products that are
friendlier numbers.
Ex) 5
X 18 X 2 = (5 X 2) X 18= 10 X 18 =
180
Subtraction Property
A factor is
changed into a friendlier number through rounding up. This factor is renamed into a number
expression using subtraction. Using the distributive property, multiply the
parts of the number sentence then subtract the partial products to get the
final answer.
Ex) 48
X 7 =
(50
– 2) X 7=
(50
x 7) – (2 X 7) =
350 – 14 = 336
Addition Property
A factor is
changed into a friendlier number through rounding down. This factor is renamed into a number
expression using addition. Using the distributive property, multiply the parts
of the number sentence then subtract the partial products to get the final
answer. This is very similar to the partial product method.
Ex) 48
X 7 =
(40
+ 8) X 7=
(40
x 7) + (8 X 7) =
280 + 56 = 336
Halving and Doubling
A factor is
split in half so that it creates an easier to solve fact. Double the partial
product to get the final product.
Ex) 16 X 25 =
(8+ 8) X 25=
(8 X 25) + (8 X 25) = 200 + 200 = 400
Here's what is happening next week:
Here's what is happening next week:
- We are meeting our Caring School Communities Buddies on Monday! We are partnering with Ms. Varriale's and Ms. Luo class 2-203. We'll also have buddies PE with them on Wednesday.
- We are starting our writing units on Personal and Persuasive Essays. Students have reviewed the five paragraph essay structure and we've used the boxes and bullets outline format to plan our essays. This year, we will focus on making out thesis more universal and using transition words to communicate our points more effectively.
- We have also begun our study of the Native Americans of New York. We will focus our studies on the Iroquois and Algonquian tribes.
Finally, my thanks go out to the parents who came to Old Stone House with us. Mrs. Knowles, Mr. Marquez, Mrs. Hudgins, Mrs. Dekel, Ms. Tyler ,and Mr. Soans were awesome facilitators. They really helped make the trip a successful learning experience! I will publish some pictures in an upcoming post.
Have a great weekend!