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Question
do now: day 11 - multiplication
multiplication can be represented in different ways. in each box below, use numbers or pictures to illustrate and solve the expression
9×5
array
area model
equal groups
Step1: Array representation
Draw 5 rows with 9 elements in each row. For example, draw 9 circles in each of 5 rows. Counting all the circles gives the product.
Step2: Area - Model representation
Think of a rectangle with a length of 9 units and a width of 5 units. The area of the rectangle is calculated by multiplying the length and the width. Using the formula for the area of a rectangle $A = l\times w$, where $l = 9$ and $w = 5$, we have $A=9\times5$.
Step3: Equal - Groups representation
We can think of 5 equal groups, with 9 items in each group. For example, 5 bags with 9 marbles in each bag. To find the total number of marbles, we multiply the number of groups by the number of items in each group.
$9\times5 = 45$
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Array: Draw 5 rows of 9 elements (e.g., circles).
Area Model: Consider a rectangle with length 9 and width 5, area = 45.
Equal Groups: 5 groups of 9 items, total 45 items. The product of 9×5 is 45.