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Using the Math Formula Page . You have been handed a formula page on which to take notes. As we go over a formula, and what the parts represent, write down what the letters represent. Being able to use, and using the chart will improve your score. . Let's look at the Chart first . . .. This part of the chart gives you metric and customary length measurement units. When an = sign is used, it means they can be interchanged so that all the units are the same. These same units are useful to19
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1. Using the math formula chart for conversions and measurement Conversions &
Measuring (part 1)
SHS 2008
2. Using the MathFormula Page You have been handed a formula page on which to take notes.
As we go over a formula, and what the parts represent, write down what the letters represent.
Being able to use, and using the chart will improve your score.
3. Lets look at the Chart first . . . This part of the chart gives you metric and customary length measurement units.
When an = sign is used, it means they can be interchanged so that all the units are the same.
These same units are useful to know for Science!
4. The next part of the chart deals with volume, these are liquid volume measurements.
Solid volume measurements are on the formula page side, and require cubic measurement units such as cm3 or ft3.
5. Mass and weight are considered the same in Math, but not in Science. . .
6. These are to help you with time conversions . . . Remember, in a problem, units must be the same.
You can not calculate correctly if one unit is in days and another is in hours.
To change, use the factors given.
Dont guess LOOK!
7. Example: Four friends took turns using the stationary
bike at a health club. Huan used it three
times as long as Melanie. Susie used it half as
long as David, and David used it 15 minutes
longer than Huan. The four friends used the
stationary bike for a total of 2.5 hours. How
long did Susie use the stationary bike?
F 60 min
G 45 min
H 30 min
J 15 min
8. Example: Four friends took turns using the stationary
bike at a health club. Huan used it three
times as long as Melanie. Susie used it half as
long as David, and David used it 15 minutes
longer than Huan. The four friends used the
stationary bike for a total of 2.5 hours. How
long did Susie use the stationary bike?
F 60 min
G 45 min
H 30 min
J 15 min
9. Lets move onto the rulers that are on the formula chart. Just about every TAKS test has required students to measure!
10. There are two rulers on the Mathematics formula chart. One is a centimeter ruler.
The other is an inch ruler.
11. At various times, the TAKS test has asked you to measure with one or the other. The first year of TAKS, students were asked to measure with both rulers -- on the same test!
12. Very rarely does a TAKS question stop just at measuring. Most questions ask you, after you find the necessary measurements, to:
Find the surface area
Find the composite area
Find the volume
13. The figures that you are asked to measure vary. Usually you are given a net of a 3-dimensional figure.
You need to figure out which part(s) are necessary for finding the value they want.
Then, you are expected to correctly measure those parts and use the measurements to answer the question. The question almost always involves using some formula on the formula chart.
14. Today, we will deal with the inch ruler. Please come back tomorrow when we will deal with the centimeter ruler.
More of the TAKS questions that have been released involve centimeters (but not all, which is why we need to work with inches, too)
15. Lets study the inch ruler. The longest line refers to the inch.
16. This problem was on the April 2006 Exit-level test.
17. This problem was on the April 2006 Exit-level test.
18. Now, use your inch ruler on your Mathematics chart to measure the length, width, and height of the prism. Write down your measurements as you go.
19. Here are the answer choices. Which is closest to the volume of this rectangular prism?
F 4 in.3
G 1.3 in.3
H 8.5 in.3
J 13.5 in.3
20. Okay---Now you do some problems on the back page for practice
21. Checking: One time unit is seconds; the other is minutes. We need the same unit.
Since 1 minute = 60 seconds, 8 minutes = 8(60) = 480 seconds
22. Checking: One time unit is hours; the other is minutes. We need the same unit.
One hour is 60 minutes so 15 minutes is one-fourth of an hour.
23. Checking Formula is
S = 6s2.
Measuring the length of a side, we got
1 inch (1.25)
S = 6(1.25 in.)2 = 9.375 in2
24. Well have more measurement problems to work on tomorrow. Not only should you come again, we want you to bring a friend or two!