4.2+Changing+Speeds+10-11

**4.2 Changing speeds**

Big Idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

INV 4 Essential Question: How can I use graphs, tables and symbols to solve problems?

4.3 A. Make a table with the speed and time of 4.1 and add 65 m/h and 50 m/h. Then plot the three pieces of data on a graph in different colors.

Speeds and Time 1 2 3 4 5 6 7 8 || 0 55 110 165 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">220 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">275 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">330 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">385 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">440 || <span style="display: block; font-family: Times New Roman,serif; text-align: center;">0 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">50 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">100 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">150 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">200 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">250 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">300 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">350 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">400 || <span style="display: block; font-family: Times New Roman,serif; text-align: center;">0 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">65 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">130 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">195 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">260 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">325 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">390 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">455 <span style="display: block; font-family: Times New Roman,serif; text-align: center;">520 ||
 * <span style="display: block; font-family: Times New Roman,serif; text-align: center;">Time (hours) || <span style="display: block; font-family: Times New Roman,serif; text-align: center;">55 m/h || <span style="display: block; font-family: Times New Roman,serif; text-align: center;">50 m/h || <span style="display: block; font-family: Times New Roman,serif; text-align: center;">65 m/h ||
 * <span style="display: block; font-family: Times New Roman,serif; text-align: center;">0

<span style="display: block; font-family: Times New Roman,serif; text-align: left;">B. How are the three pieces of data in the table similar? Different?

Their patterns are pretty similar in the, and 55 m/h and 50 m/h are almost the same in amounts. They are different in their amounts and their patterns.

C. How are the graphs for the three speeds in the graph similar? Different?

They all have straight linesand are pretty much parallel. The travelled amount is very different from the three pieces of data.

D.1) Look at the table and graph for 65 miles. Detirmine the pattern and changes in the data? In words write a rule that explains how far they travelled in 65 m/h for any given time.

In every other number in the table (even or odd doesn't matter) you can allways add 30 to get the tens and ones place. It is sixty-five multiplyed by the amount of hours and that will show you the distance they have gone in 65 m/h in any given time

D.2) Write an equation for the the rule you made.

T=Time D=Distance T*65=D ¨ E.1) Write a rule in words that explains a rule for 50 m/h in any given time.

It is the amount of hours times 50 and that will be the distance for any given time 50 m/h.

E.2) Write the rule as an equation for 50 m/h.

T=Time D=Distance T*50=D

F. How are the equations for the three speeds similar?

It is allways is Time times the speed equals or T=Time, S=Speed, and D=Distance. T*S=D

Follow Up

1.Explain the equation d=t60 in words.

It is 60 times time equals distance.

2. How long would it take reaching a destination 310 miles away 50 m/h? 60 m/h? 65 m/h?

At 50 miles per hour it is 6 hours and ten minutes. At 60 miles per hour it is 5hours and 10 minutes. At 65 miles per hour it is 4 hours and 45 minutes.