What is an example of ratio word problems?
A recipe calls for butter and sugar in the ratio 2:3 . If you’re using 6 cups of butter, how many cups of sugar should you use? The ratio 2:3 means that for every 2 cups of butter, you should use 3 cups of sugar. Here you’re using 6 cups of butter, or 3 times as much.
What is a good title for a vertical tape diagram?
What is a good title for the vertical tape diagrams? A good title for the vertical tape diagrams is Favorite Recess Activities.
What does a tape diagram look like in math?
A tape diagram is a rectangular drawing that appears like a tape piece with divisions to support mathematical calculations. It is a graphic tool used commonly in solving ratio-based mathematical word problems. Tape diagrams are visual representations that represent the sections of a ratio by using rectangles.
How do you solve 3 ratio problems?
To calculate a ratio of 3 numbers, we follow 3 steps:
- Step 1: Find the total number of parts in the ratio by adding the numbers in the ratio together.
- Step 2: Find the value of each part in the ratio by dividing the given amount by the total number of parts.
- Step 3: Multiply the original ratio by the value of each part.
How do you calculate ratio problems?
We follow the 3 steps above to work out the ratio.
- Step 1: Find the total number of parts. Looking at the ratio 1:3, we have:
- Step 2: Divide the amount by the total number of parts. The amount is $20 and the total number of parts is 4.
- Step 3: Multiply each number in the ratio by the value of one part.
What are tape diagrams?
Tape diagrams are visual models that use rectangles to represent the parts of a ratio. Since they are a visual model, drawing them requires attention to detail in the setup. This ratio is modeled here by drawing 2 rectangles to represent David’s portion, and 3 rectangles to represent Jason’s portion.
How are tape diagrams used to solve ratio problems?
Tape diagrams are a powerful tool for solving ratio problems, but are often unfamiliar to students and teachers alike. This PowerPoint takes students (and teachers!) step-by-step through using tape diagrams to solve ratio problems–an important standard in the Common Core Math standards for sixth grade.
How to create a tape diagram for students with disabilities?
SWD: Some students with disabilities may need explicit instruction to create the tape diagram. Pull a small group. In advance, prepare a couple of ratio problems and their corresponding tape diagrams. Have the students match the tape diagram to the problem and then solve. Next, explicitly model creating a tape diagram with a new ratio problem.
How is a tape diagram different from a part part diagram?
Note that the first tape diagram, with the units of tape in direct sequence, shows both the part-part relationship and the part-whole relationships, whereas the second tape diagram emphasizes the part-part relationship. Point out that the unit rectangles in tape diagrams are equal in length. A store sells 10 comedy DVDs for every 90 action DVDs.
How many comedy DVDs are in a tape diagram?
In the tape diagram, each unit (each square) represents 10 DVDs. There is 1 unit of comedy DVDs and 9 units of action DVDs. There are different ways to arrange the tape diagram. You can see the ratio between the two quantities of DVDs more easily in Tape Diagram 2. What is the ratio of action DVDs to comedy DVDs?