Podcast
Questions and Answers
Why is it important to convert all measurements to the same unit when solving word problems?
Why is it important to convert all measurements to the same unit when solving word problems?
- It allows you to use a smaller calculator.
- It helps prevent errors and makes calculations consistent. (correct)
- It is a requirement by all math textbooks.
- It makes the problem look less complicated.
In a word problem, if the desired answer is in meters per second, what should you consider when selecting which units to use?
In a word problem, if the desired answer is in meters per second, what should you consider when selecting which units to use?
- Using only inches and minutes for intermediate calculations.
- Converting all measurements to meters and seconds from the start. (correct)
- Ignoring the units until the final step.
- Using the units that are easiest to convert, regardless of the final desired units.
Audrey's robot travels 1.5 yards, drops 6 feet, and then travels 20 feet in 1/3 of an hour. What is the robot's speed in feet per minute?
Audrey's robot travels 1.5 yards, drops 6 feet, and then travels 20 feet in 1/3 of an hour. What is the robot's speed in feet per minute?
- 1.525 ft/min (correct)
- 2.0 ft/min
- 2.5 ft/min
- 1.02 ft/min
Which conversion factor is correctly applied to convert 1/3 of an hour into minutes?
Which conversion factor is correctly applied to convert 1/3 of an hour into minutes?
What should one consider when analyzing data presented in a graph?
What should one consider when analyzing data presented in a graph?
In a pictograph, what factor could lead to a misleading interpretation of the data?
In a pictograph, what factor could lead to a misleading interpretation of the data?
Why is it important to check if the axes of a graph are labeled?
Why is it important to check if the axes of a graph are labeled?
In the example problem, Audrey's robot moves a combination of yards and feet. What is the first step in solving for the robot's speed in feet per minute?
In the example problem, Audrey's robot moves a combination of yards and feet. What is the first step in solving for the robot's speed in feet per minute?
Why might starting the scale of a graph at a value other than zero be misleading?
Why might starting the scale of a graph at a value other than zero be misleading?
What is the purpose of analyzing a graph for potentially misleading details?
What is the purpose of analyzing a graph for potentially misleading details?
Flashcards
Units Conversion
Units Conversion
Convert all measurements to the same unit when solving word problems.
Example Problem
Example Problem
Audrey's robot travels 1.5 yards, drops 6 feet, travels 20 feet in 1/3 hour. Convert to feet and minutes to find feet per minute.
Uniform Spacing in Graphs
Uniform Spacing in Graphs
Ensure consistent intervals between values displayed on the axis.
Origin of a graph
Origin of a graph
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Pictograph image sizes
Pictograph image sizes
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Axis Labels in Graphs
Axis Labels in Graphs
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Study Notes
N-Q: Quantities
Units
- When tackling word problems with different units, convert as many as possible to the same unit.
- Length measurements can be converted to inches or centimeters.
- Time measurements can be converted to minutes or seconds.
- Use the units in the answer as a guide to identify which units to work the problem with.
Example
- Audrey's robot travels 1.5 yards, drops 6 feet, and travels 20 feet in (\frac{1}{3}) of an hour; to determine feet per minute, change all units to feet and minutes.
- Convert yards to feet: (1.5 \text{ yd} \times \frac{3 \text{ ft}}{1 \text{ yd}} = 4.5 \text{ ft})
- Convert hours to minutes: (\frac{1}{3} \text{ hr} \times \frac{60 \text{ min}}{1 \text{ hour}} = 20 \text{ minutes})
- Calculate total feet traveled per minute: (\frac{4.5 \text{ ft} + 6 \text{ ft} + 20 \text{ ft}}{20 \text{ minutes}} = \frac{30.5 \text{ feet}}{20 \text{ minutes}} = 1.525 \text{ feet per minute})
Graphs
- When interpreting data from a graph, look out for details that could be misleading.
- Consider if the units of measurement are uniform and evenly spaced.
- Check if the origin is zero.
- In pictographs, ensure pictures are proportionally sized.
- Verify that the axes are labeled to show the comparison.
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