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.
Algebra: Writing mathematical expressions using letters to show numbers. Variable: the unknown,use a letter to represent a number Constant: the integer in algebraic expression or equation When there are (-) multiply divide cancel with the same integer Solving One Step Equations Adding and Subtracting 1 Isolate the variable 2.Cancel using the opposite-create a zero pair for the constant 3. Balance on the other side of the equal sign 4.Verify your answer
Multiplying and Dividing
1. Isolate the variable
2. Cancel using the opposite -multiply and divide
3. Balance
4. Verify
Solving Two Step Equations 1. Isolate the variable 2. Cancel the constant 3. Balance 4. Simplify the variable 5. Balance 6. Verify
For term 2 we learned about percent,surface area and volume. For percent we learned about showing percents into hundred grids. At class, we also learned about finding a percent of a number. We also learned about combining percents like finding the total price of the shoes by multiplying the number to the percent. In surface area we learned about viewing 3 dimensional object like looking what's the top,front, and side view. In this chapter we learned how to do nets which is the 2 dimensional version of the 3D object when flat. After knowing how to make a net we now learned how to get the surface area of a rectangular prism,triangular prism, and cylinder. Surface Area is the number of square units need to cover a 3D object. In the volume chapter, we learned how to calculate the volume of 3D object which you multiply the area of base and height for rectangular prism,triangular prism,and cylinder. Lastly we learned about solving problems involving prisms and cylinders. Which is for example a cylinder is inside a rectangular prism. We can either add it or subtract it depending on the problem
I did well on getting the surface area and volume of prisms because they don't confuse me and the part that I struggle is getting the surface area of cylinders because getting the surface has too many stuff going.
To do better for the next term I will study more and understand the problems more and if I'm confuse I will ask my classmates or Mr. Harbeck.
The difference between volume and surface area is that surface area is finding the area of the seen surface while the volume gets how many squares fill up the 3D object. Surface Area and Volume have in common is that they both get the area of the 3 dimensional object.
Examples of zero pairs: +6 -6 have 6 owe 6= 0 Standard Form +4 - 4 4 - 4 -pure standard form
Chapter 2Multiplying Integers
Sign Rules (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 means making parts.
Quotative Divison means sharing your total with the group.
Sign Rule for Division
How can Multiplication Inverse help you solve?
when you can't explain how would you divide 6÷(-2)=
Order of Operations with Integers [(+5) x (-3) ]+ [(-6) ÷ (+3)]= (-15) + (-2) = -17
For #3 I did 2 ways. First I did a net to make my solving easier. For the 1st way I did is multiply lxw to all sides (top,front,side). Then I added all of the answer to get my Total Surface Area or T.S.A. For the 2nd way what I did is I drawed the lateral area then I added the lengths of it example 18.5. After I added it I then multiply it 13.5 because they all share 13.5. Then I multiply the side. Lastly, I added it all to get the T.S.A what I got is 819.5cm²
Question 5
For #5 I did is I first got the 3 rectangles surface areas. Then I did the triangle's surface area. After that I added all of it to get the T.S.A. (there's a diagram but it got cut off)
For #7 Basically it gave us the surface area of all sides. So you only to multiply each of them to 2 because for example if there's a top there's a bottom. After you multiply each of those add it to get the total surface area.
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 To represent percent, you can shade squares in a hundred grid. To represent percent greater than 100%, shade more than one hundred grid. To represent a fractional percent between 0% and 1%, shade a part of a square. To represent fraction more then 1%, shade squares from the hundred grids for the whole number. Then shade part of a square to shade the fraction part.
4.2 Fractions, Decimals,Percents Percents can be written in fraction and a decimal.
ex. 750% to a fraction and decimal. Decimal: 750% ÷ 100= 7.5 Fraction: 750/100
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 Percent Review Video
percent means out of 100, it can be represented by a hundred grid, fraction, and a decimal. You can use mental math strategies to find the percent of some numbers. It can also be combined by adding to solve problems and lastly it can be used to determine amounts that result from consecutive percents increases or decreases.
The "Pay it Forward" movie is about Trevor Mckinny a boy who planned to make difference for his social studies homework to three person then each of those three person have to do good to three other person and so on.His way of paying it forward then spread and when he passed away so many people came by because of his heroicness.
Part 2
Me,Thessa, and Windy did was we handed out cards to some people personally and some we put it on their windshields. We also took care of Jacqueline. We chose this activity because we thought it would be fun and to spread the word of paying it forward. Our group helped Thessa's parents so they could have quality time together and we did it our activity on the weekends.
Part 3
When we arrived at Polo Park we first went to the parking lot to put the cards that we wrote on their windshields. We then gave out cards personally.I were really nervous at the first person we went to give the card personally because we don't even know that person but still handed it out. I thank Kyia and Kyianna Giles for giving us the courage to talk to people.That person was shocked but then we explained what it is about and we told her to pay it forward and then she said that she would also think something good for her to pay it forward.
We gave Thessa's parents to spend quality time together and then took care of Jackie. We had fun even though Jackie was always "fake crying" to get what she wants. We fed her, cleaned her, and most importantly we entertain her so that she won't get bored or cry.
Part 4
The idea of "Pay it Forward" is important because we can do good things just to one person. It can make a difference just by doing small things at a time. Look at some famous person who did good they all started from scratch like just helping in the community.For example,Hetty Van Gurp.We don't have to loose our love ones but we can do something good even if you don't realize it like letting someone borrow your pencil,shoveling snow, and even taking care of your younger sibling. Well I hope what we did made a difference and when we gave the card it felt good inside and I wish the owners of the cars read our cards and realize how they can make a difference just doing little things. PAY IT FORWARD :D
I first squared the two numbers then subtract them. After that I find the square root of the difference then I got 10cm.
9.Tianna wants to construct a path along the diagonal of her yard.What length will the path be?Express your answer to the nearest tenth of a metre.
12.The hypotenuse of the triangle cuts the circle in half.What is the diameter of the circle? express your answer to the nearest tenth of a centimetre.
15.The coordinate grid shown was drawn on a centimetre grid paper. What is the length of the line segment AB. Express your answer to the nearest tenth of a centimetre.
2.) How would you find use prime factorization to determine the square root of 225.
What I did is first I look at the perfect square chart that we made then I saw that 225 is a perfect square then I saw that the square root is 15. Then so I made this.
6.) a.) The prime factorization of 64 is 2x2x2x2x2x2
b.) 64 is a perfect square because the first pair of numbers are the same.
c.)
11.) The square of 9 is 81 because if you multiply 9 and 9 the answer will be 81.
b.) the square of 11 is 121 because if you multiply 11 and 11 the answer will be 121.
15.) a.) 7
b.) 8
c.)
Here is a video if you want to understand it more.
