Use Area Models for Distribution - 3rd Grade Math
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What is the total area if $a=6$, $b=2$, and $c=5$ for a rectangle with sides $a$ and $b+c$?
What is the total area if $a=6$, $b=2$, and $c=5$ for a rectangle with sides $a$ and $b+c$?
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$42$ square units. $a(b+c)=6(2+5)=6(7)=42$ square units.
$42$ square units. $a(b+c)=6(2+5)=6(7)=42$ square units.
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What is the missing expression: $a(b+c)=ab+\underline{\hspace{1cm}}$?
What is the missing expression: $a(b+c)=ab+\underline{\hspace{1cm}}$?
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$ac$. Distributing $a$ to both $b$ and $c$ gives $ab+ac$.
$ac$. Distributing $a$ to both $b$ and $c$ gives $ab+ac$.
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What is the missing expression: $a(b+c)=\underline{\hspace{1cm}}+ac$?
What is the missing expression: $a(b+c)=\underline{\hspace{1cm}}+ac$?
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$ab$. Distributing $a$ to both $b$ and $c$ gives $ab+ac$.
$ab$. Distributing $a$ to both $b$ and $c$ gives $ab+ac$.
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What is the missing side length: if $a(b+c)=a\cdot 9$ and $b=4$, what is $c$?
What is the missing side length: if $a(b+c)=a\cdot 9$ and $b=4$, what is $c$?
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$c=5$. Since $b+c=9$ and $b=4$, then $c=9-4=5$.
$c=5$. Since $b+c=9$ and $b=4$, then $c=9-4=5$.
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What is the area using distribution: $3(5+2)$?
What is the area using distribution: $3(5+2)$?
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$21$. $3(5+2)=3(7)=21$ or $3\cdot^5+3\cdot^2=15+6=21$.
$21$. $3(5+2)=3(7)=21$ or $3\cdot^5+3\cdot^2=15+6=21$.
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What is the area using distribution: $4(6+3)$?
What is the area using distribution: $4(6+3)$?
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$36$. $4(6+3)=4(9)=36$ or $4\cdot^6+4\cdot^3=24+12=36$.
$36$. $4(6+3)=4(9)=36$ or $4\cdot^6+4\cdot^3=24+12=36$.
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What is the area using distribution: $7(2+1)$?
What is the area using distribution: $7(2+1)$?
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$21$. $7(2+1)=7(3)=21$ or $7\cdot^2+7\cdot^1=14+7=21$.
$21$. $7(2+1)=7(3)=21$ or $7\cdot^2+7\cdot^1=14+7=21$.
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What is the area using distribution: $5(8+2)$?
What is the area using distribution: $5(8+2)$?
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$50$. $5(8+2)=5(10)=50$ or $5\cdot^8+5\cdot^2=40+10=50$.
$50$. $5(8+2)=5(10)=50$ or $5\cdot^8+5\cdot^2=40+10=50$.
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What is the value of the missing factor: $6(3+4)=6\cdot 3+6\cdot \underline{\hspace{1cm}}$?
What is the value of the missing factor: $6(3+4)=6\cdot 3+6\cdot \underline{\hspace{1cm}}$?
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$4$. Distribute $6$ to both addends: $6\cdot^3+6\cdot^4$.
$4$. Distribute $6$ to both addends: $6\cdot^3+6\cdot^4$.
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What is the value of the missing factor: $9(1+5)=9\cdot \underline{\hspace{1cm}}+9\cdot 5$?
What is the value of the missing factor: $9(1+5)=9\cdot \underline{\hspace{1cm}}+9\cdot 5$?
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$1$. Distribute $9$ to both addends: $9\cdot^1+9\cdot^5$.
$1$. Distribute $9$ to both addends: $9\cdot^1+9\cdot^5$.
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Identify the correct distributed form of $8(4+3)$.
Identify the correct distributed form of $8(4+3)$.
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$8\cdot 4+8\cdot 3$. Distribute $8$ to both $4$ and $3$.
$8\cdot 4+8\cdot 3$. Distribute $8$ to both $4$ and $3$.
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Find the total area: a rectangle is $2$ units by $6+3$ units. What is the area?
Find the total area: a rectangle is $2$ units by $6+3$ units. What is the area?
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$18$ square units. $2(6+3)=2(9)=18$ square units.
$18$ square units. $2(6+3)=2(9)=18$ square units.
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Find the total area: a rectangle is $5$ units by $7+1$ units. What is the area?
Find the total area: a rectangle is $5$ units by $7+1$ units. What is the area?
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$40$ square units. $5(7+1)=5(8)=40$ square units.
$40$ square units. $5(7+1)=5(8)=40$ square units.
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A rectangle has height $9$ and total width $5+2$. What is its area?
A rectangle has height $9$ and total width $5+2$. What is its area?
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$63$ square units. $9 imes (5 + 2) = 9 imes 7 = 63$.
$63$ square units. $9 imes (5 + 2) = 9 imes 7 = 63$.
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What is the value of $3(10+2)$ using the distributive property?
What is the value of $3(10+2)$ using the distributive property?
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$36$. $3 imes 10 + 3 imes 2 = 30 + 6 = 36$.
$36$. $3 imes 10 + 3 imes 2 = 30 + 6 = 36$.
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