IM 6.4.2 Lesson: Meanings of Division

Here is an expression: [math]20\div4[/math].[br][br]What are some ways to think about this expression? Describe at least two meanings you think it could have.
A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight.[br][br]Clare and Tyler drew diagrams and wrote equations to show how they were thinking about [math]12\div6[/math].[br][br][img]data:image/png;base64,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[/img][br][br]How do you think Clare and Tyler thought about [math]12\div6[/math]? Explain what each diagram and the parts of each equation could mean about the situation with the bags of almonds. Make sure to include the meaning of the missing number.[br][br]Pause here for a class discussion.
Explain what the following division expression could mean about the situation with the bags of almonds.
[math]12\div4[/math]
Draw a diagram to show how you are thinking about the expression above.
Write a multiplication equation to show how you are thinking about the expression above.
Explain what the following division expression could mean about the situation with the bags of almonds.
[math]12\div2[/math]
Draw a diagram to show how you are thinking about the expression above.
Write a multiplication equation to show how you are thinking about the expression above.
Explain what the following division expression could mean about the situation with the bags of almonds.
[math]12\div\frac{1}{2}[/math]
Draw a diagram to show how you are thinking about the expression above.
Write a multiplication equation to show how you are thinking about the expression above.
A loaf of bread is cut into slices.
If each slice is [math]\frac{1}{2}[/math] of a loaf, how many slices are there?
If each slice is [math]\frac{1}{5}[/math] of a loaf, how many slices are there?
What happens to the number of slices as each slice gets smaller? 
What would dividing by 0 mean in this situation about slicing bread?

IM 6.4.2 Practice: Meanings of Division

Twenty pounds of strawberries are being shared equally by a group of friends. The equation 20÷5=4 represents the division of strawberries.
If the 5 represents the number of people, what does the 4 represent?
If the 5 represents the pounds of strawberries per person, what does the 4 represent?[br]
A sixth-grade science club needs $180 to pay for the tickets to a science museum. All tickets cost the same amount.
What could [math]180\div15[/math] mean in this situation? Describe two different possible meanings of this expression. 
Find the quotient from the question above and explain what it means in each case.
Write a multiplication equation that corresponds to each division equation.
[math]10\div5=?[/math]
[math]4.5\div3=?[/math]
[math]\frac{1}{2}\div4=?[/math][br]
Write a division or multiplication equation that represents each situation. Use a “?” for the unknown quantity.
2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?[br]
A large bucket of 200 golf balls is divided into 4 smaller buckets. How many golf balls are in each small bucket?[br]
Sixteen socks are put into pairs. How many pairs are there?
[size=150]Find a value for [math]a[/math] that makes each statement true.[/size][br][br][math]a\div6[/math] is greater than 1
[math]a\div6[/math] is equal to 1
[math]a\div6[/math] is less than 1
[math]a\div6[/math]  is equal to a whole number
Complete the table. Write each percentage as a percent of 1.
Jada walks at a speed of 3 miles per hour. Elena walks at a speed of 2.8 miles per hour. If they both begin walking along a walking trail at the same time, how much farther will Jada walk after 3 hours? Explain your reasoning.

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