1.2 比较率-interactive
章节大纲
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Leaky Tanks
::轻型坦克Katie and Sunnie both have 20-gallon fish tanks that are leaking water! After 15 minutes, Katie's tank has leaked gallon. After 20 minutes, Sunnie's tank has leaked gallon. Which tank is leaking faster?
::凯蒂和逊尼派都有20加仑的鱼缸在漏水!15分钟后,凯蒂的坦克漏水43加仑。20分钟后,逊尼派的坦克漏水34加仑。哪个坦克漏水更快?Use the interactive to determine which tank is leaking faster.
::使用互动来确定哪个坦克漏水速度更快。INTERACTIVELeaky Tanks-
Slide the red dot up and down to see how the water
levels change over time for each tank.
::向上和向下滑动红色点,看每个罐体的水位随时间变化。 -
Find the unit rate of leakage (in gallons per hour) for each tank.
::找出每辆坦克的单位渗漏率(每小时加仑)。 -
Determine which tank is leaking faster.
::确定哪个罐体漏水速度更快。
+Do you want to reset the PLIX?Progress0 / 51.Select a unit rate that correctly describes the leak in Katie's tank.
::选择正确描述凯蒂坦克泄漏的单位费率 。a@$\begin{align*}\frac{1\text{ gallon}}{5 \tfrac{1}{3}\text{ hours}}\end{align*}@$
::@ $\ begin{ align@ frac{ 1\ text{ 加仑} 5\ tfrac{ 1\\\ 3} text{ hours{ end{ leign} $b@$\begin{align*}\frac{1.33 \text{ gallons}}{1 \text{ hour}}\end{align*}@$
::@ $\ begin{ align}\ frac{ 1. 33\ text{ 加仑{ 1\ text{ hour{ end{ ALign} $c@$\begin{align*}\frac{5.33 \text{ gallons}}{1 \text{ hour}}\end{align*}@$
::@ $\ begin{ align}\ frac{ 5. 33\ text{ 加仑{ 1\ text{ hour{ end{ ALign} $d@$\begin{align*}\frac{1 \text{ gallon}}{11.25\text{ minutes}}\end{align*}@$
::@ $\ begin{ align@ frac{ 1\ text{ 加仑} 11. 25\ text{ minutes{ end{ align} $Discussion Question
::讨论问题In this example, the units were the same. You were comparing gallons of water leaked per hour of two different tanks . But how could you compare if the units are different?
::在这个例子中,单位是相同的。你比较了两个不同的罐子每小时漏水的加仑。但如果单位不同,你又如何比较呢?
Which Leaks Faster?
::哪个漏水更快?Suppose a blue container is leaking at a rate of cup/min and a red container is leaking at gal/hour. Which container is leaking faster?
::假设蓝色容器漏水速度为14个杯子/分钟,红色容器漏水速度为12小时/小时。哪个容器漏水速度更快?Use the interactive below to compare the leak rates given different units.
::使用下面的交互效果比较不同单位的漏泄率 。INTERACTIVEUnit Conversions: Cups to Gallons-
Drag the red point to change the number of cups being converted.
::拖曳红色点以更改要转换的杯数 。 -
Note how the conversion factors are set up and which units are in the numerator and which are in the denominator.
::注意转换系数是如何设置的,在分子中是哪些单位,在分母中是哪些单位。
The units are rounded to the nearest hundredths place.
::单位四舍五入到最近的一百个单位。+Do you want to reset the PLIX?
Relaxed Speed Reading
::放松的快速阅读After Katie and Sunnie fix the leaks in their tanks, they decide to relax by reading. Katie reads at a rate of page per minute. Sunnie reads at a rate of 18 pages per hour. Who reads faster?
::凯蒂和逊尼派修补了他们的坦克漏水后,他们决定阅读放松。凯蒂的读数为每23分钟34页。逊尼派的读数为每14小时18页。谁读得更快?-
Determine the
unit rate
for both girls in minutes
::在分钟内确定两个女孩的单位费率 -
Determine the unit rate for both girls in hours
::确定两个女孩工时的单位工资率
Use the interactive to help answer the questions below .
::使用交互方式帮助回答下列问题。INTERACTIVEReading Speeds-
Move the red point to determine the unit rate for both girls in minutes then in hours.
::将红点移开,以确定两个女孩的单位费率在分钟内,然后在小时内。
+Do you want to reset the PLIX?Summary
::摘要-
In order to compare measures, they must be in the same units.
::为了比较措施,它们必须在同一单位。 -
Comparing rates is easiest when they are written as unit rates.
::比较率在以单位费率写成时最容易比较。 -
Multiplying or dividing two rates by the
same
number does not change whether one rate is greater or less than the other.
::乘以或除以相同数目的两种汇率,不改变一种汇率大于或低于另一种汇率。
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Slide the red dot up and down to see how the water
levels change over time for each tank.
