Project Rules • Projects must be done totally. All blanks filled in and all work shown. The answer is only worth ½ of the points. The work is worth the other half. So if all you do is circle answers, even if all are correct, you will get a 50%. • This is not negotiable. I don’t care how knowledgeable you think you are and “I don’t need to show work this is easy”…go take Algebra II. Now. • Must be done in pencil. (black) Corrections must be done in red. If you don’t do the original in pencil, you cannot do corrections. End of story. If you don’t do corrections in red, I won’t grade them. End of story. • Papers substantially completed and handed in on time can be redone for ½ of the points lost. Substantially done means 90% of the problems are attempted. Attempted does not mean an answer in circled. Work is needed. Example, you try and get a 60. You can redo for a maximum 80. You try, you get an 80, you can redo for a maximum 90. • Corrections must be done ON THE PROJECT. Erase what you have and do over in red. Do it on separate paper, I will not grade it. • Problems corrected must be listed by number on the front page. Don’t do it? I won’t grade it. • If you lose your project, don’t ask for another. I have a printing budget and you have a responsibility. It is online under Mrs. Craft’s webpage “handouts” called ________________________ No excuses. No printer at home? Printing is free in the library during tutoring hours. Or make a hand copy, that will teach you to keep track of your papers. • Papers handed in late one class cannot be redone. What you get is what you get. “Oh, I forgot it, can I bring it to you tomorrow?” Yes, before school STARTS = Grade Minus 10 points (but can be redone). • Papers handed in more than one class late receive THE GRADE EARNED minus 20 points but a 70% MAX grade. No redos. • I do not take papers after I have handed back the class project. Usually the second class after they are due. PROJECTS COUNT A LOT. YOU WILL NOT PASS IF YOU DO NOT DO PROJECTS!!!! • I have read and understand these Project Rules Name:________________________ Class Period:__________Date:____
Transcript
Project Rules• Projects must be done totally. All blanks filled in and all work shown. The answer is only worth ½ of the points. The work is worth the other half. So if all you do is circle answers, even if all are correct, you will get a 50%.
• This is not negotiable. I don’t care how knowledgeable you think you are and “I don’t need to show work this is easy”…go take Algebra II. Now.
• Must be done in pencil. (black) Corrections must be done in red. If you don’t do the original in pencil, you cannot do corrections. End of story. If you don’t do corrections in red, I won’t grade them. End of story.
• Papers substantially completed and handed in on time can be redone for ½ of the points lost. Substantially done means 90% of the problems are attempted. Attempted does not mean an answer in circled. Work is needed. Example, you try and get a 60. You can redo for a maximum 80. You try, you get an 80, you can redo for a maximum 90.
• Corrections must be done ON THE PROJECT. Erase what you have and do over in red. Do it on separate paper, I will not grade it.
• Problems corrected must be listed by number on the front page. Don’t do it? I won’t grade it.
• If you lose your project, don’t ask for another. I have a printing budget and you have a responsibility. It is online under Mrs. Craft’s webpage “handouts” called ________________________ No excuses. No printer at home? Printing is free in the library during tutoring hours. Or make a hand copy, that will teach you to keep track of your papers.
• Papers handed in late one class cannot be redone. What you get is what you get. “Oh, I forgot it, can I bring it to you tomorrow?” Yes, before school STARTS =
Grade Minus 10 points (but can be redone). • Papers handed in more than one class late receive
THE GRADE EARNED minus 20 points but a 70% MAX grade. No redos.
• I do not take papers after I have handed back the class project. Usually the second class after they are due. PROJECTS COUNT A LOT. YOU WILL NOT PASS IF YOU DO NOT DO PROJECTS!!!!
• I have read and understand these Project Rules
Name:________________________ Class Period:__________Date:____
Project Rules• Projects must be done totally. All blanks filled in and all work shown. The answer is only worth ½ of the points. The work is worth the other half. So if all you do is circle answers, even if all are correct, you will get a 50%.
• This is not negotiable. I don’t care how knowledgeable you think you are and “I don’t need to show work this is easy”…go take Algebra II. Now.
• Must be done in pencil. (black) Corrections must be done in red. If you don’t do the original in pencil, you cannot do corrections. End of story. If you don’t do corrections in red, I won’t grade them. End of story.
• Papers substantially completed and handed in on time can be redone for ½ of the points lost. Substantially done means 90% of the problems are attempted. Attempted does not mean an answer in circled. Work is needed. Example, you try and get a 60. You can redo for a maximum 80. You try, you get an 80, you can redo for a maximum 90.
• Corrections must be done ON THE PROJECT. Erase what you have and do over in red. Do it on separate paper, I will not grade it.
• Problems corrected must be listed by number on the front page. Don’t do it? I won’t grade it.
• If you lose your project, don’t ask for another. I have a printing budget and you have a responsibility. It is online under Mrs. Craft’s webpage “handouts” called Ratios and Percents. No excuses. No printer at home? Printing is free in the library during tutoring hours. Or make a hand copy, that will teach you to keep track of your papers.
• Papers handed in late one class cannot be redone. What you get is what you get. “Oh, I forgot it, can I bring it to you tomorrow?” Yes, before school STARTS =
Grade Minus 10 points (but can be redone). • Papers handed in more than one class late receive
THE GRADE EARNED minus 20 points but a 70% MAX grade. No redos.
• I do not take papers after I have handed back the class project. Usually the second class after they are due. PROJECTS COUNT A LOT. YOU WILL NOT PASS IF YOU DO NOT DO PROJECTS!!!!
• I have read and understand these Project Rules
Name:________________________ Class Period:__________Date:____
A ratio is a comparison by division
You could make a scale factor comparison to each answer, or find the ratio by division for the picture and see which answer has the same ratio by division. Make sure you are consistent…long/short or short/longRatio picture:_______________Answer F:__________________Answer G:__________________Answer H:__________________Answer J:_____________________
Same thing = show work.
The ratios you got are called scale factors!!!!!
1.2
A simple ratio
• TAKS connection ---ratios
• Build a ratio.A ratio is a comparison by division. (Basic
definition)The larger triangle has two sides given, so we can
develop a ratio by comparing one side to another.
It does not matter, you can compare long to short side ( 18/12) or short to long (12/18)
L>S = 18/12 = 3/2 S>L = 12/18 is 2/3 Now, the problem has told us the two triangles
are SIMILAR (proportionate)So we can create a comparison of the ratio of the
big triangle to the ratio of the small triangle. Top show you there is no difference, we will do long to short, then short to long.
Big triangle Small TriangleLong 18 . 11Short 12 . Psolve by cross multiplying 18p = 132Then solve by dividing by the coefficient p = 132/18=_______Or Big Triangle Small TriangleShort 12 : pLong 18 11132 = 18p 132/18 = _______
3
Example of a scale factor…a map1 inch = 50 miles scale factor = 1/50The map is REDUCED from reality so that every 50 miles is represented by 1 inch.What information do we have here?They are similar. That’s what that little wavy sign means so they are in proportion.Line AP compares to Line ____Line AH compares to line ____Line PH compares to line _____ AP/EK AH/EN PH/ KNSO: APH ? 7 11.9 EKN 6.6 3 ???Is this asking for the length of a side or “scale?__________ Ratio is a comparison by division!!!!!If we are not looking for a length of a side, we only have one set of numbers that matter._________________But, are we going from big to little or little to big?______________Answer__________________________If we were going from EKN to APH what would the scale factor be?_______RULE: Going from big to small requires a scale factor smaller than 1. From small to big requires a scale factor bigger than 1.
Scale factors
This has been on many many tests
4
Ratios are not as easy as you think• This is where all that ball and bat stuff comes in,
but I don’t really get the bat and ball and..since you are here, probably you didn’t get it either.
• Remember, a ratio is a COMPARISON BY DIVISION. So, somewhere we have to compare some things and there has to be some division.
• But just because you have some numbers in a problem, it does not mean that you can compare them!!!!
• AND EVERYBODY MINDLESSLY CIRCLES 9.• But, what is wrong with that? • If they won 4 and lost 6, they already played 10
games. So, somehow just playing nine games is going to let them win six?????? Impossible, they already played 10 games, they cannot go back in time.
• The question is…how many games must they play!!!!!!
• Wins Losses Games played• 4 6 10• 6 ??? X
• We only have enough data to compare • wins and losses or wins and games played. • Wins Losses Wins Games Played• 4 6 4 10
• 6 x 6 x
• 4x = 36 4 x = 60• X = 9 losses x = 15 games played• Are you seeing the difference?• If you did it the first way, you can still get the
answer as 6 games won and 9 lost = 15 games played. BUT THE ANSWER IS NOT NINE GAMES PLAYED!!!!!!!!
Looks easy enough.4 compares to 6 and 6 compares to X4: 66:x Cross multiply 4x = 36 x = 9.
5
IMPORTANT YOU HAVE TO COMPARE APPLES TO APPLES AND ORANGES TO
ORANGES>>>OR IT DOES NOT WORK!!!!!!!• Words of Ratio:• Similar _____________• Proportionate ______________• Scale• Blueprint• Relation• Varies directly
What two things are we comparing:_______________ and ____________Set up a ratio cross with labels. Cross multiply and solve ______|_______ |
Make your ratio cross, label and solve
6
7
Show all work Set up ratio crosses and do the math for both problems. Label everything.
Think about ridiculous answers here. How tall is one meter?_______ Would a gym be that tall?____About how high is the gym at your high school?____
Not to scale!!!
8
9
How many degrees in a circle?_____How many customers?_______How many customers bought orange?____So: What would 20 have to do with anything??????
It does not look alike a ratio problem…but it is.What are we comparing? ____________ and _________________Do it.
1011
Multi steps with a GOTCH YA!!!!!
What does 9 to 8 mean? _________What two things are we comparing:_____________ and total students. So, what is the minimum number of students we are talking about to get a ratio of 9 juniors for every 8 seniors_______
Juniors seniors Total of juniors and seniors
9 8 X
? ? 51
Make a ratio cross and solve for seniors!!!!!
Now use the formula:__________ = ________ * ____________Seniors percent of total
Answer?_______________
Quick logic lesson. 9 to 8 is pretty close to 50/50.Is 24 to 76 or 27 to 73 percent close to 50/50?So its either 53% or 47%. Are seniors the bigger or smaller group?________
12
Learn To Draw
Draw triangle #1, label info given
Draw triangle 2, label info given
What are we comparing?______________ to ________________What are we going to do with the inches?________What is 8 ft 10 inches in a decimal?_________If you said 8.1 you are wrong…think again.What is 8 ft 10 inches in inches.______ Can we use this and then change back to feet? _____Set up ratio cross and solve.
This works when we consider perimeter and a side. Why does this not work if we consider area and a side?____________________ ________________________________________________________
13
• Percentage problems require limited, but important knowledge. • 1. How to change a percentage to a decimal or a fraction.
• 2. When to multiply or when to divide.• PERCENT TO DECIMAL Just move the decimal place two places to the left.
• DECIMAL TO PERCENT• Move the decimal two places to the right and add a % sign.
• FRACTION TO PERCENT• Change to a decimal and move the decimal point two places to the right.
• Percents come in basically one type, and you fill in the information and solve.• A number is a percent of a number.
• # = % * # (remember to change % to a decimal)• _______________= ____________ * ______________________
• A number is a percent of a number • Joe sells cars. He gets paid a percent of the price of the cars he sells.
• Pay = % times price of cars sold.• 1. Joe makes 3% and sold $50,000.
• X = .03 times 50,000. x = 1500• 2. Joe made $2000 and he makes 4%.
• 2000 = .04 x = 2000/.04 = 50,000• Joe made $4000 and sold $40,000 in cars. • 4000 = x40,000 = 4000/40000 = .01 = 10%
• Just fill in the blanks and solve
• Please don’t tell me about bats and balls unless you can get all these problems correct using bats and balls because I’m tired of bad hitters!!!!!
Percents
• Think about this.• If he only throws 10 free throws, can he
make 58 free throws?______ In fact, if he only makes 58% of the free throws, can he make all 10 of them? __________
• Perfect examples of “ridiculous answers”• Now use the formula:• _________=_________ *_________• Where is the “of “ in the problem?________• Fill in the percent of_______• Change the percent to a decimal _________• MULTIPLY!!!!• The problem says “about how many”…does
this call for an exact answer?______• Answer? _____________
So, what are the ridiculous answers?Do you really think that they will only pay 186 for a house each month?___They make less than 6k a month, can they pay $18,566 a month?______Perfect examples of “stupid answers”Now use the formula:_________=_________ *_________Where is the “of “ in the problem?________Fill in the percent of_______Change the percent to a decimal _________MULTIPLY!!!!The problem says “approximately”…does this call for an exact answer?______Answer? _____________
1 2
• So, what are the rediculous answers?• Do you really think that he would only get 6975 if
the house cost 662,625?______• Do you think he would really get 6,975 if the house
only cost 7,342?___• Perfect examples of “rediculous answers”• Now use the formula:• _________=_________ *_________• Where is the “of “ in the problem?________ • Fill in the percent of _______• Hummm, we don’t know that so make it “X”• Change the percent to a decimal _________• But we already know that 6975 = 5% of X, so fill in
the 6975.• Do we multiply or divide here?_____ Do it!!!
• Answer? _____________
• First…what does the question ask?
• So, what are the stupid answers?• 1.____________________________________• 2. ___________________________________• Perfect examples of “stupid answers”
• Now use the formula:
• _________=_________ *_________• Where is the “of “ in the problem?________ • Fill in the percent of _______• Wce don’t know that so make it “X”• Change the percent to a decimal _________• But we already know that 12 = 80% of X, so fill in
the 12• Do we multiply or divide here?_____ Do it!!!
• Answer? _____________
34
• So, where is the percent? Isn’t 35 cents just 35% of a dollar?
• So, what are the ridiculous answers?
• Now use the formula:• _________=_________ *_________• Where is the “of “ in the problem?________ • Fill in the percent of _______• We don’t know the pounds of glass so make
it “X”• The “percent” is already decimal _______• Where does the $500 go?• Do we multiply or divide here?_____ Do it!!!
• Answer? _____________c
• Before we can find out which are the stupid answers, we have to find the cost per video with tax!!!!!
• Formula ______ = _________* ________
• That gets you the tax. Now find the cost of the video and tax 3.95 + ______ = _________
• Each video is approximately $4.___.• Can he afford three?___________ _____• Can he afford four?______________ + _____• Can he afford five?_______________ + _____• Can he afford six?_______________ + _____• Could we have made it easier and just divided 20.92
by __________? Answer?________• Do you round up or down here?_________• Why?_______________
5 6
Sometimes it takes more than one step
• Step One: How many have brown hair?_______
• ______= _____*_________• Step 2. Take the brown heads
away from the 32. How many are left?________
• Step Three: Of the leftovers, 12.5% have red hair.
• ______ = _____% __________• Answer? ___________
First, what are we looking for here? The tip or the change?______________Step one: How much is the tip? ________________ = _______* ___________Step 2: How much was the haircut plus tip?___________Step Three: If he paid with a $20, how much was left. ____________
7
8
Percents in charts and tables.
Find the number of students for each category:University _____ = _______*______Com College _____= _________* ____Tech School ______= ________* _____Undecided ______= ________* _____
_____%
____%
_________ + __________ >_________?
Students or %?????
Percents In Word Problems
What is 6 % in a decimal?__________Based on that alone, which are the classic ridiculous answers?______ and ______Cross them out.What does $10 per hour mean? __________________________________If h stands for hours, write $10 per “h”______________________________Hopefully that gets us to the correct answer of:____________Do this with all types of word- equation problems.
