Week One: Multiplication

On our first week of Unit Two in math, we started the week off on Tuesday with learning about different types of story problems including repeated addition, array/area, and tree/combinations. 

Repeated Addition:
Ryann had 4 plates of cookies, with 7 cookies each. How many cookies does Ryann have altogether?

This picture shows repeated addition because a child could add up 7 plus 7 plus 7 plus 7 to get 28 instead of actually multiplying 7 times 4.

Area/Array Model:
In the classroom there are desks lined up in 4 rows with 7 desks in each row. How many total desks are in the classroom? 















This method shows a pattern with the set of objects or numbers.

Tree/Combinations:
Adam has 4 pairs of pants and 7 different shirts. How many different outfits can he make?













This method shows all possibilities using "sets" and "branches".

On Tuesday we also learned the properties of multiplication:
Commutative Property: a*b=b*a
Associative Property: a*(b*c)=(a*b)*c
Identity Property: a*1=a
Distributive Property: a*(b+c)=(a*b)+(a*c)



On Thursday, we used
Strings:
10x3=30
9x3=27
10x5=50
10x8=80
If you do 10x3=30 and 9x3=27 you realize that 27 is 3 less than 3 because the multiple is 3.

We also learned different models of division including repeated subtraction, partition, area model practice, ratio table and partial products.