Think of a situation with a question that can be represented by 12 ÷ 2/3 = ? Write a description of that situation and the question in the show your work box.
Answer your question in the answer box.
To make 5 batches of cookies, 10 cups of flour are required. How many cups of flour does each batch require?
We can write equations and draw a diagram to represent this situation. They help us see that each batch requires 2 cups of flour.
5⋅?=10
10÷5=?
For each question, write a multiplication equation and a division equation, draw a diagram, and answer the question.
To make 4 batches of cupcakes, it takes 6 cups of flour. How many cups of flour are needed for 1 batch?
To make 5 batches of cookies, 10 cups of flour are required. How many cups of flour does each batch require?
We can write equations and draw a diagram to represent this situation. They help us see that each batch requires 2 cups of flour.
5⋅?=10
10÷5=?
For each question, write a multiplication equation and a division equation, draw a diagram, and answer the question.
To make 1/2 batches of rolls, it takes 5/4 cups of flour. How many cups of flour are needed for 1 batch?
To make 5 batches of cookies, 10 cups of flour are required. How many cups of flour does each batch require?
We can write equations and draw a diagram to represent this situation. They help us see that each batch requires 2 cups of flour.
5⋅?=10
10÷5=?
For each question, write a multiplication equation and a division equation, draw a diagram, and answer the question.
Two cups of flour make 2/3 batch of bread. How many cups of flour make 1 batch?
Here are three tape diagrams and three descriptions of situations that include questions.
Match a diagram to each situation, then use the diagram to help you answer the question. Next, write multiplication and division equations to represent each situation.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Tyler poured 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle? | arrow_right_alt | Diagram 1 |
It takes 15 cups of water to fill 13 pail. How much water is needed to fill 1 pail? | arrow_right_alt | Diagram 2 |
Kiran poured 15 cups of water into equal-sized pitchers and filled 112 pitchers. How much water was in the full pitcher? | arrow_right_alt | Diagram 3 |
Next, write multiplication and division equations to represent each situation. Answer the question.
Tyler poured 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?
Next, write multiplication and division equations to represent each situation. Answer the question.
Kiran poured 15 cups of water into equal-sized pitchers and filled 1 1/2 pitchers. How much water was in the full pitcher?
Next, write multiplication and division equations to represent each situation. Answer the question.
It takes 15 cups of water to fill 1/3 pail. How much water is needed to fill 1 pail?
Here are three more diagrams and situations. Match a diagram to each situation, and use the diagram to help you answer the question. Next, write multiplication and division equations to represent each situation.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Lin’s class has also adopted some sections of highway to keep clean. If 112 sections are 34 mile long, how long is each section? | arrow_right_alt | Diagram 1 |
Priya’s class has adopted two equal sections of a highway to keep clean. The combined length is 34 of a mile. How long is each section? | arrow_right_alt | Diagram 2 |
A school has adopted a section of highway to keep clean. If 13 of the section is 34 mile long, how long is the section? | arrow_right_alt | Diagram 3 |
Next, write multiplication and division equations to represent each situation. Answer the question.
Priya’s class has adopted two equal sections of a highway to keep clean. The combined length is 3/4 of a mile. How long is each section?
Next, write multiplication and division equations to represent each situation. Answer the question.
Lin’s class has also adopted some sections of highway to keep clean. If 1 1/2 sections are 3/4 mile long, how long is each section?
Next, write multiplication and division equations to represent each situation. Answer the question.
A school has adopted a section of highway to keep clean. If 1/3 of the section is 3/4 mile long, how long is the section?
Challenge Question!
Start with a tape diagram of length 1 unit. This is step 1.
Color in the middle third of the tape diagram. This is step 2.
Do the same to each remaining segment that is not colored in. This is step 3.
Keep repeating this process.
How much of the diagram is colored in after step 2? Step 3? Step 10?
If you continue this process, how much of the tape diagram will you color?
Can you construct a process that will give you a similar kind of object? For example, color the first fifth instead of the middle third of each strip.
Consider the problem: Students in a 6th grade class are raising money for an end-of-year camping trip. So far they have raised $240. This is 2/5 the cost of the trip. How much does the trip cost?
Write a multipication and a division equation, draw a diagram and answer the question.