D.U. writes:
Chapter 7 taught us that apart from the normal functions that exponents perform, one can also use such exponential terms to represent
fractions, square, cube, quadruple root etc. as well as non-whole numbers. Furthermore Chapter 7 taught us how to combine these
exponents whether they need to be multiplied added or subtracted. Nonetheless we were taught to perform simple economic & financing
problems using given formulas as well as finding the ratio of multiplied sequences. In the end, we were abe to perform and simplify fairly
complex equations of this sort using all these theorems in algebraic combinations and interaction.
A.M. writes:
Chapter 7 was a very interesting chapter. I learned many important functions. The first section of the chapter taught us about the power
functions. We reviewed the basics of multiplying number by power and then advanced on to some more difficult power problems. Then to
expand our knowledge on powers we learned about the properties of powers. Next, when we first looked at the information of multiplying
negative powers, we cringed, and became scared, wondering how we would ever understand how to do that. We quickly learned that
negative integer exponents were not as complicated as we originally thought. Compound interesdt, the next topic we learned about, was
very interesting because it was something that we could apply to our everyday life. We are involved with finance everyday so it was
interesting to apply our school work to everyday situations. Then, we learned about geometric sequences. Some of our problems dealt with
bouncing ball, and we once again ran into explicit and recursive formulas. Nth roots was also a very interesting topic. We learned how to
do powers of numbers when the power was not a whole number. After that, we learned about positive rational exponents. Finally to
conclude the chapter, we did work with negative rational exponents. Chapter 7 had a lot of review of old topics only they had new twists.
It was a very interesting chapter. I learned a lot!
M.B. writes:
I actually liked chapter seven a lot because it was very easy for me once i got the hang of things. At first it was slightly difficult because we
were working with several equations which i had to remember. After realizing that common sense would help me remember the equations
for interest on loan or a compound interest involving slightly more information because it contained the amount of times per year and the
length of time, then things went smoothly. We worked with recursive and explicit formulas again, only this time for geometric sequences.
Exponents were a key theme in this chapter. We learned rules and properties to multiply, divide, subtract, and add a geometric equation
with exponents. It was confusing on the first day but was very simple by the second. Another part of this chapter was negative exponents
and how to use them and represent them. We merely made them positive by turning them into fractions. We learned the roots and many
theorems to explain meanings for positive rational exponents then using zero, negatvie numbers, and rational or fractional geometric
equations. The best part of the chapter was not focused on in the book. In class we spent time not using calculators and using mental math
to quickly determine the value of the geometric equation. Overall this was one of my favorite chapters, only i wish we spent more time in the computer lab working and practicing online. Instead i explored the website at home.
N.G. writes:
In this chapter we learned about the properties
of powers and different formulas for finding
interest rates. We learned about unique properties
of how and when powers should be manipulated in
different situations such as when parentheses are
present or the exponent is negative or a fraction.
With interest rates, we worked with different
equations to discover how to find the interest
gained depending upon how much money was initially
invested, how long it has been invested, and how
frequently the interest is compounded per year.
S.B. writes:
In Chapter 7 we worked on 2 main concepts. We worked with real life situations and problems when we learned how to figure out the
height of a bouncing ball. We also worked with investments and found out what the interest on a specific investment would be after a
given amount of time. We also took a lot of time making our mental math skills better. We did many comlicated problems with fractions or
negative numbers for exponents. This was particulary difficult for me to do. i thought that this part of chapter seven was hard and that the
test will focus on those non calculator problems, which can be a problem for me.
K.W. writes:
CHAPTER 7 WAS ALL ABOUT POWERS WHICH WAS WHY IT IS CALLED "POWERS". IN THE FIRST LESSON, WE LEARNED ABOUT
POWER FUNCTIONS WHICH ARE THE BASICS ABOUT POWERS. WE LEARNED WHAT THE GRAPH OF A NEGATIVE AND POSITIVE
POWER WOULD LOOK LIKE AND THE RANGE AND DOMAIN OF EACH OF THESE. IN THE NEXT LESSON WE LEARNED ABOUT
PROPERTIES, SUCH AS POSTULATES AND THEOREMS DEALING WITH POWERS, LIKE THE POWER OF A POWER POSTULATE AND
THE PRODUCT OF A POWERS POSTULATE. THESE WERE ALL IMPORTANT IN FINDING OUT SOLUTIONS TO HARDER PROBLEMS.
THE HOMEWORK ASSOSCIATED WITH THAT WAS JUST PRACTICE PROBLEMS. IN LESSON 7-3, WE LEARNED ABOUT NEGATIVE
POWERS. WHEN A POWER IS NEGATIVE, IT BECOMES A FRACTION. THIS IS ALSO IMPORTANT WITH HARDER PROBLEMS THAT WE
SAW LATER ON IN THE CHAPTER. NEXT WE LEARNED ABOUT COMPOUND INTEREST THAT DEALT WITH MONEY AND WE
LEARNED ALL THE FORMULAS THAT DEALT WITH THAT. We then learned about Geometric Sequences which kind of confused me but I
understand it now. We learned how to make explicit formulas and recursive formulas and I was so happy because I understand now. The
last topic we covered was Nth Roots and all their properties and how to solve them. I found that pretty easy. And that was Chapter 7 for
you. PS- sorry i wrote in all caps before, i didn't mean to sound mad.
E.W. writes:
Chapter 7, in my opinion was rather easy. It was basically about powers. first we learned about power functions. This I already learned in
the past. Then we learned about properties of powers, this was new to me but it was very easy to learn. Negative integer exponents was
also new to me, but i also picked up on that quickly. The only thing hard about learning compound interest was to memorize the
equations. We have learned geometric sequences many times in the past, so that was rather easy too. The nth roots was new to me, and it
was tuff, untill we did many problems, and Mrs. Rakova helped out a little with them. Now I can do any problem you put infront of me.
Positive rathional exponents was also easy once we started doing them in class. This was the same for negative rational exponents.
Basically this chapter was easy. I think I should do well on the test! (hopefully)