Online  Basic Accountability in Math (BAM) Lesson (Algebra and Functions Strand 3 - AF)  (03af.html)  
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1

Word Problems.    Multi-Choice Practice.  (10 possible points).

 

Bill rode his skateboard (with a helmet) 25 miles in 80 minutes.  How many miles can he ride his skateboard in 60 minutes (at the same pace)? Aurora HC212 8 digit, Solar / Battery power calculator
Formula:    25 =  x 
            80   60    
            25 * 60      = 80x   cross multiply
            25 * 60  80 = x     isolate for x 
            x            = 25*6080                               
 
Calculator: 25x6080=
Start off by setting it up mathematically.
Setup:    25 mi   =  x mi  
          80 min    60 min  
      25 miles in 80 minutes is expressed as 25 mi
80 min
How many miles in 60 minutes is expressed as  x mi 
60 min
First step: Cross multiply:   60*25 = 1500   (60 times 25. done below)
            so    1500 = 80x
            1500 equals 80x (80 * x)
2nd  step:  Isolate x by dividing each side by 80. 
            1500  = 80x       80x 
80 80 80 cancels to x
Third step: Rewrite as x = 1500   
80
4th  step:  Divide 1500 by 80, equals 18.75. 

T
he answer is 18.75 miles in 60 mins (mph) .
1
1. cross multiply:   60x25 = 1500 
   so    1500 = 80x
         1500 equals 80x

Calculator: press 60X25= (60x25 = 1500)

(= sign gives result)

Note the ,x,-,= signs.

 
2

 

divide 1500 by 80 by pressing

80=

(divide sign, 80, equal sign)

result is 18.75 miles in 60 mins.

(fast for a skateboard)

 

Choose the letter of the correct answer:

A. 17   B. 18   C. 18.75   D. 20  and enter it in the answer box below:             
  

  

 

Answer Box.    Check it with the Test Button.

 

2

 
2 miles in minutes.  How many miles per hour is that?    (practice calculating answer, testing it by displaying answer.  Watch how "rounding up" is done.)
  answer:    12 * 60 =     rounded    
  12    =                                              
 
    60
 x = 12  * 60

Calculator: 12x60 =

 

Answer Box.   If answer is  .5 or higher,  add 1 to answer (round up).


3

 
You will be given equations in  the form of:

   If n = 2 and x = 1/2, then n(4 - x) =

This is solved by substituting 2 for n, 1/2 for x, performing the    operation within the parentheses, then doing the arithmetic.

       n(4 - x)  = 2(4 - 1/2)          .. substitute, then solve  
                                              within parentheses.
       2(3.5)    = 4 - 1/2 = 3.5      .. do arithmetic
       2(3.5)    = 2 * 3.5 = 7        .. (2 times 3.5 equals 7)

Here's an equation for you to solve.
 
* (-  4) =  

Keep Pressing "Display Answer" until you learn how to solve equation.

  answer:    * (-    4 ) =      

When you have learned to solve this equation, enter answer into box  and press "Test".  (10 points for each correct answer).   Progressively harder.
 

Answer Box.   If multiplying with 0, the answer is 0.


       

 

   
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email addr .    johnsmith@aol.com 

             


Note to educators, this lessons uses Visual, Interactive, and Virtual techniques to involve the student in the lesson. The goal is that the greater the involvement, the greater the comprehension.  It also uses "hands-on" calculators, "discovery" techniques, short-written answers, drill-and-practice, heuristic type learning, guided responses, and answer-reinforcement.  All of these methods instill a "sense of range" in the student -- look at  value and convert it in their head! -- by translating values, a student effectively operates in both number systems, and can demonstrate that skill on an exam.   The goal is to apply the technology to optimize Online, Interactive learning to supplement, and reinforce class-room / personal contact instruction. This project is in Continuous Quality Improvement and Innovation mode, and your suggestions / improvements therefore are welcomed.  Joseph@Auciello.net   (c) Copyright, 2003 - 07