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Give examples for each Routine and non-routine problems in Mathematics 


Differentiate between routine and non-routine problems in Mathematics


Discuss different roles played by a mathematics teacher


Discuss the differences between the Reflective thinking, relational and instrumental understanding in Mathematics


Discuss Problem-based lesson and a three part lesson structure 


Discuss Co-operative learning in a Mathematics classroom


The amount of caffeine present in the human body after consumption can be modelled by an exponential function of the form C= AxB^t where t is the elapsed time, in hours, and C is the amount of caffeine remaining, in milligrams. In the morning, Steve drinks a Monster Energy ™ and in the evening he prefers Code Red Mountain Dew© before he plays Pokémon®. The equations of the exponentials functions that model Steve’s caffeine consumption are shown below.


Monster Energy C= 55 (1/2)^t Mountain Dew C=110 (1/2)^T


Using the numerical values in the functions above, compare the information that these values provide


If x = e^ty^2 , t= V cos v , y= v sin v. Find dx/dv at v= 3.142/2

Use the polya's problem solving strategy.




1. Mr. Jonas has a total of 25 chickens and cow on his farm. How many of each does he have if all together there are 76 feet?




2. Karen is thinking of a number. If you double it and subtract 7 you obtain 11. What id karen's number?




Using polya's strategy solve the given problem




In consecutive turns of a monopoly game, stacy first paid 800 pesos for a hotel. She then lost half of her money when she landed on boardwalk. Next, she collected 200 pesos for passing GO. She then lost half her remaining money when she landed on Illinois avenue. Stacy now has 2500 pesos. How much did she have just before she purchased the hotel?







The velocity of a tsunami in feet per period


6


9


12


15


18


21


24



Height of tsunami in feet


4


9


16


25


36


49


64



Use the data in the above in inductive reasoning to answer each of the following questions



1. If a pendulum has a length of 49 units what is its period?


2. If the length of a pendulum is quadrupled what happens to its period?



Verify that each of the following statements is a false statement by finding a counterexample



1. X/y=1


2. X+y/ 3= x+1


3. 3 √x2+16= x+4






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