This is a place for the community of learners in Room 8-17 to learn and enjoy math. It is an extension of the classroom making it accessible 24 hours a day, 7 days a week.
STANDARD FORM (remove the + and () when not needed)
(+4)+(-2)=2
remove the brackets and the + sign because they aren't needed for the equation.
4-2=-2
have 4, owe 2=2
MAKE A ZERO PAIR
a) -16, +16 b) -5,+5 c)-11,+11 d)-2,+2
e) -6,+6 f) -10,+10 g) -9,+9 h) -3,+3
Homework:
5. -3-(-7) =+4 Owe 3 owe 7= +4
To solve this problem, use zero pairs
6. -3-7= -10 Owe 3 and owe 7= -10
To solve add -3 and -7 then you'll have -10
7. 3-7 = -4 Have 3, owe 7 = -4
To solve use zero pairs. Then remove -7. Lastly, check if there's any zero pairs.
8. 3+7 = 10
Have 3 and have 7= 10
To solve, add 3 and 7.
9. -3+7= +4 Owe 3 and have 7= +4
To solve, use zero pairs. Remove zero pairs.
CHAPTER 2- MULTIPLYING INTEGERS
(+2)x(+3) = +6
(2)x(3) = 6
(2)(3) = 6
*Standard form*2(3) = 6
(+2)x(+3) = +6
2 groups of (3)=+6
(+2)x(-3) = -6
2 groups of (-3)=-6
(-2)x(-3) = +6
remove 2 groups of (-3)=+6
(-2)x(+3) = -6
remove 2 groups of (+3)=-6
Sign Rule (negative signs):Even= When you have an even number of negative factors, the product is positive.Odd = When you have an odd number of negative factors, the product is negative.
CHAPTER 3- DIVIDING INTEGERS
Partitive Division- a type of division which means making parts
EX: 6÷3=2
(-6)÷-3 =2
Quotative- a type of division where you share your total with groups.
EX: -6÷(2)=
CHAPTER 4- Order of Operations With Integers
To solve (+5) x (-3) + (-6) ÷ (+3)=
*Squared brackets ALWAYS come first
*If there's no squared brackets use the order of BEDMAS.
*If there is division and multiplication at the same time, answer from left to right.
*If there is addition and subtraction at the same time, answer from left to right.
For term 2, I think I did well on Total Surface Area. I think did well on it because I did all my home works and I got high grades in the quizzes Mr.Harbeck gave us.Also, because I listened in class and apply all the math work needed. For this term, I struggled a bit in drawing nets for 3d objects.However, after asking questions and a bit of practice, I got better. For next term, I will try to not procrastinate, finish all my work, and comment frequently on the blogs my classmates will make. Also, I will ask questions if I am not certain of something.
I learn a lot about Percent, Total Surface Area, and Volume. I learned how to find and combine percents. I also learned how to know which stores have better deals and save more money. I got confused at times and made mistakes but I learned from them. For Total Surface Area, I learned how to draw nets for different prisms and cylinder. Plus, I learned how to find the total surface area by using variety of formula. At first I struggled so much on drawing the nets. However with the help of my friend, I learned how to draw them without any help. I also learned how to find volume of shapes.Though it’s quite confusing at first, with practice, I started to solve problems independently.
* Photos aren't as clear as always. The camera I'm using often isn't available to use. ___________________________ VOLUME PROBLEMS r=d/2 The maximum volume is 3.925m³ r=0.5/2 r=0.25m
V=Ï€.r.r.h
V= 3.14 x 0.25 x O.25 x 20
V=0.19625m²x 20m
V=3.925m³
____________________
CYLINDER VOLUME
r=d/2 r=d/2
r=1/2 r=0.8/2
r=0.5m r=0.4m
V=Ï€.r.r.h V=Ï€.r.r.h
V=3.14x0.5 x0.5 x 10 V=3.14x0.4 x0.4 x 10
V=0.785m²x 10m V=0.5024m²x 10
V= 7.85m³ V=5.024m³
7.85m³-5.024m³=2.826m³ The required concrete is 2.826m³ or 2.8m³
Percent-means out of 100. Another name for hundredths. ex. 88% means 88 out of 100 or 88/100 or 0.88 .
4.1 Representing Percents
Means showing a percent as a picture in a hundred grids.
EX: 24%on a hundred grid 24squares would be shaded, so it is24%
4.2 Fractions, Decimals,Percents
Fractions, decimals, and percents can be used to represent numbers in various situations. Percents can be written as fractions and as decimals.
EX: 50%= 0.5= 1/2
4.3 Percent of a Number Can use mental math strategies such as halving, doubling, and dividing by ten to find the percent of some numbers. To calculate the percent of a number, write the percent as a decimal then multiply by the number.
EX:300% of 2000: 300÷100=3 2000x3=6000
4.4 Combining Percents Percents can be combined by adding to solve problems. EX: 5%+6%= 11%
To calculate the increase of a number You can add the combined amount to the original number. EX: 12% of 100= 0.12 x 100 =12 100+12=112
You can multiply the original number by a single percent greater than 100. EX: 112% of 100 = 1.12 x 100 =112
