California High School Exit Exam (CAHSEE)
Mathematics Section


Success in Math
requires knowledge of Measurement / Metrology, including the conversion
between the US and the Metric System. Therefore this
lesson includes comparing weights,
capacities, geometric measures, times, and temperatures within and
between measurement systems.
(e.g., miles per hour to kilometers per hour to
feet per second, and cubic inches to cubic centimeters).
The California High School Exit Exam  "CAHSEE"
 Mathematics Section verifies that the student
has learned these skills for life and career. The
focus of this exam on the
"Measurement and Geometry" (MG) Strand" is to reinforce the learning
of these skills. The approach of
this lessonquiz is to "hardcalculate" the answer, thus earning a
"sense of range."
This lesson relates to the
7MG1.1 Standards of Comparing
measurement systems.
A good working set of Math skills is vital
for success in vocations, professions, trade schools, and higher education, specifically, in this case,
skills in Metric conversions are essential. The developers of this lesson ask that you
spend sufficient time with it until you hit the mastery level!
The "greater the handson involvement" the "greater learning"!
 Learn by doing! Use as many ways as you canto learn. This lesson aims to
teach you several ways to calculate, ways to apply Math, a problemsolving process, a 'sense of range',
practical applications, and reinforces, by repetition, your math skills.
Keep your hand on the mouse, and take control of your learning!
Doublecheck and "range check" every answer. Push the edge of your
learning. Go beyond the lines. Make a list of metric distances to check out.
Share this program with your friends. Teach them to pass this lesson!
Extra credit given for helping other students learn this lesson!
Show us what you can do! (acknowledgement to La Canada HS for CAHSEE logo.)
Press "Replay" to start over.






WPM

Hold down







2 
It is fair to show you other ways to convert
numbers,
such as hand calculator,
penpaper multiplication, and using the Windows Calculator shown here.
(To access the calculator, from the
Start button below, select "Run", then type "calc" without the
parentheses.)
Type 150 in the bar, press the "*" (multiply
sign  circled in red), then 1.609, and press the <Enter> key.
Or on paper: 150
x 1.609

You could also use Excel by typing =150*1.6093 into a cell.
Or any other number conversion programs found on
the web, with Google, by typing "number conversion"
It
is important to develop a "number sense", a sense of proportion.
Km are a bit more that 1.5 times Miles. So do a "range check" when
calculating.
Calculate 150 * 1.609 a 2nd way to verify your answer.
How did you do it? Write a short answer below.


3 
Rounding off. Drill and Practice. (100 possible
points). In the box below you will be given a value in miles to
convert to km.
However, this lesson is about "rounding off" to the 'ones' position. The "ones" position
(the rounding digit),
is occupied by "0".
In this example, the "0" in the 160.95 value is the
rounding digit. The digit just to the right of it is "9", and
since it is > 5, the "0" becomes "1" (one
is
added to it  called the "5up" rule). So rounding off "160.95" to the "ones position"
becomes 161. Rounded off, the answer is 161 km.
160.95
!!! !!
5 in the hundredth's position
!!! !
9 in the tenth's position
!!!
0 in the one's position
!!
6 in the ten's position
!
1 in the hundred's position
Say this with me: "(1 * 100 position) + (6 * 10) + (0 * 1) + (9 * .1) + (5 * .01) equals 160.95.
Since there is a '9' in the tenths' position, it become rounded off at
161."
Rounding off 160.95 to the one's position (0), requires
a
look at the digit to its right (9). If > 5, increment it
by 1. It is, so it becomes 161.


Round off the km value to the nearest one's place, and
enter in the box to the left. Enter the rounded number as
integers (without a dec. point and following digits). Check it with
the Test Button.

4 
Cubic inches to Cubic Centimeters. Calculator demonstration
only. Nongraded.
1 cubic inches =
16.38 cubic centimeters (cc)
(2.54^3)
1 cc
= 0.61 cubic inches.
Explanation: an object with 1" height, 1" width, and 1" depth contains
a cubic inch.
This
is a cubic inch.
It has an Xaxis (width), Yaxis (length), and Zaxis (height).
The Red Bar goes inside the cube vertically. It breaks the top
and bottom planes. The Blue Bar enters horizontally, breaking
the right, then left planes. The cube also rotates. Watch
it to see that the bars cross through its center.
A 1" cube will contain 16.38 cc or 16.38 ml (milliliters) of liquid.
Its dimensions allow it to be called an inchcubed.
If you filled this cube with liquid, it would almost contains 3 oz. of liquid, less than half an 8 oz. glass.

Short answers to Word Problems
1. A 1968 classic Volvo Model 122 has 122 cu. in. displacement engine. How many cc is that?
2. 1000 cc = 1 Liter (L). How many liters displacement does a 122 cu. in. engines have?
3. A Mercedes SL 190 Sports Coupe has a 1900 cc engine. How many cu. in. of displacement?
4. A small bottle of Eucalyptus Oil contains 5 cc (equals 5 milliliters). How many cu in?
5. The Nissan Altima has a 2.5 L engine. Is it smaller than a Ford 300 cu. in. one?
6. Extra credit: Access a conversion program on the web Fill in the blanks.
1 L bottle contains ____ ounces (US. Fluid) which equals _____ cubic inches.
Type answer below:

Miles to Km conversion
= 7MG1.1 (operational)
Km to Miles conversion
= 7MG1.2 (under development)
Cubic inches to cubic centimeters = 7MG1.3 (under development)
Cubic centimeters to cubic inches = 7MG1.4 (under development)
