The Learning Equation

Here are some due dates for TLE assignments

Friday February 3rd - Exploring Decimals
Friday February 10th - Mulitplying Decimals

You should be completely finished exploring decimals by the time that you read this blog, and be working on multiplying decimals. You will be given one more class period in the lab to work on multiplying decimals.

Have a great week everyone!

Mr. R

Weekly Math Game

This is a fairly easy math game for everyone as it deals with addition, subtraction, multiplication and division. Click Here to be taken to the game. Enjoy everyone!

Mr. R

Another math game

AS many of you have tried the last game that I posted I shall share another game with you. This game involves using your memory and remembering a pattern. It is quite addictive as well so I will warn you before you try it. The name of the puzzle is simon Says. See if you can remember to follow the pattern exactly.

SIMON SAYS

Assignment for the week of January 23 to 30th

So most of us have finally logged on to Blogger, but most of us still are rather apprehensive of using a blog to its potential.

As you all know you were handed back your tests today, and everyone should have their tests by the end of tomorrow. As well I have extended the deadline to Monday to correct your errors, if you so choose, on your test and submit it for marks. Remember that you must use a seperate piece of looseleaf for your corrections.


So here is your assignment.

You must do one of two things.
1 - Create a post on something that you did understand from either the test or this week's class, remember just simply saying I didn't understand question 40 on the test, or happy numbers doesn't work. You need to decribe your problem in more detail, such as I don't understand how come 0 and 5 are the only two happy numbers.

2 - Your other option is to help out a fellow student by creating a comment on their post. This helping hand must give them the information that they need to help solve their problem, not just the answer. The information that you would have to provide someone is very similar if not identical to what you have to do with your own test in order to gain additional bonus marks.

You can submit your post or comment up until Monday at 7pm after which I will not accept for grades any additional posts or comments. This does not however meant that you should discontinue posting questions, or creating comments on classmates posts.

Mr. R

Sunday Night Math Puzzle.

This is a link to a puzzle that should challenge everyone in the class. I know that you can all complete the puzzle, but you need to take your time.

Happy puzzle solving everyone.

Here is the site

Mr. Reece

Brain teaser - How Many coins

Question.
A bag holds 50 coins that add up to $1.00. How many coins of each denomination (value) are in the bag?
Remember the available coins are pennies, nickels, dimes and quarters. You cannot use a loonie as this would put you over your limit with 1 coin.

Mr. R

Brain teaser

See if you can discover the pattern, Mr. R

Ancient Patterns

Twins Sari and Devon have gone to the jungles of South America to explore the lost city of Xaitec with their parents, who are part of a team of archaeologists. The path to the great temple is lined with pairs of stone columns, but the pairs of columns are not evenly spaced. Using a meter tape, the twins measure the distances between successive pairs of columns. Starting from the temple, the distances between pairs of columns are 7.8 m, 7.8 m, 15.6 m, 23.4 m, and 39 m. Since the paved road between the columns continues for some distance, the archaeologists suspect there are more fallen columns hidden in the jungle growth.

Where should the twins tell the archaeologists to look for the next pair of columns?

Answers for questions 65,66,69,70

65. You need to decide where to put some brackets in the question. Remember that the first order of operations are the brackets.

I am going to rewrite 3 squared as 3x3 as I cannot make the small 2 on this blog.

(-1) x (-7) + (+3)x(+3)
Well lets first calculate 3x3

(-1) x (-7) + (+9). Now we need to get an answer of -2. If I look at this equation I can see that -7 + +9 gives me +2 which is the opposite of -2. I can also see that multiplying anything by -1 gives me its opposite. So

(-1) x ((-7) + (+9)) =
(-1) x (+2)= -2
Which is the answer that we wanted.

#66. We need to once again get an answer of -2. I will write 4 sqaured as 4x4

(+4) x (+4) - (+10) ÷ (+2) - (+5)=
well 4x4 = 16 so
(+16) - (+10) ÷ (+2) - (+5). I am just going to try doing the equation from left to write and ignore the order of operations.

(+16) - (+10) ÷ (+2) - (+5) = Rewrite the equation as we cannot subtract
(+16) + (-10) ÷ (+2) + (-5) =
(+16) + (-10) = +6 so
(+6) ÷ (+2) + (-5) = and 6÷2 = 3 so
(+3) + (-5) = -2. So our answer is to put brackets around the 4 squared and -10 as we want to do this part first.

#69.I will figure out the rating for each player first. Their rating is based upon Goals scored - Goals against.

Fragnito +38 - +42 = -4
Chan +59 - +41 = +18
George +26 - +24 = +2
Petty = +34 - +55 = -21
Lloyd = +45 - +51 = -6
The rankings go from best to worst, or the largest postive number to the largest negative number, which is +18, +2, -4, -6, -21

#70. To find the average of the temperatures you need to add all of the temperatures together and then devide by the number of cities.
So -24 + -22 + -24 + -20 + -35 + -36 + -14 = -175 total temperature ÷ 7 cities =

-175 ÷ 7 = -25

Practice Word Questions

Here are a few practice word questions. I will post the answers in another post that you can find lower on my blog.

#1. Lucia's father bought a stock whose value was $49. Over teh nest 5 weeks the value of the stock dropped by $3 per week.
Questions
a) What is the current value of the stock?
b) What value had the stock lost after 4 weeks?


#2.Andrew and Megan were on a school quiz team. They were awarded 10 points for each correct answer and they lost 5 points for each incorrect answer. If they answered 15 questions correctly and 7 questions incorrectly what was their final score?

#3.Its Monday and its lunch time and you are hungry. You borrow $3 from one friend and $2 from another. On tuesday you bring enough money to repay both friends and still have $4 left over to buy a drink and sandwich. How much money did you bring with you to school?

Answer to the Study questions

Combine the Following Integers

1. +4 and -7. = -3. 4 negatives and 4 positives make 4, leaving 3 negatives remaining. So the answer is -3
2. +8 and -6 and -3 = -1. Combine the negatives together which gives -9. +8 and -9 means that we have 1 extra negative.

Solve the Following Problems
3. (-4) + (+2) + (+3) = (-4) + (+5) = +1
4. (+4) + (+3) + (-9) = (+7) + (-9) = -2
5. (-5) - (+2) - (-7) = (-5) + (-2) + (+7) = 0. We cannot subtract, we can only add. Instead of subtracting, we add the opposite of the number after the subtraction. We add the opposite of -2 which is +2, and we add the opposite of -7 which is +7.
6.(+7) - (+6) - (+4) = (+7) + (-6) + (-4) = -3. We add the opposite of +6, which is -6 and we add the opposite of +4 which is -4 to +7, which gives us -3
For Multiplying and Dividing we do two steps.
i)We count the number of negative signs, if the total is odd then the answer is negative, if the total is even then the answer is positive.
ii)We now calculate the answer but disregard the + and - signs.
7. (+4) x (-8) x (-1) = 4x8 = 32. 32x1 = 32. The answer is +32
8. (+7) x (-2) x (+2) = 7x2 = 14. 14x2 = 28. The answer is -28
9. (-4) ÷ (-2) = 4÷2= 2. The answer is +2
10. (-42) ÷ (-3) ÷ (-3) = 42÷3=12. 12÷3=4. The answer is -4
11. (+7) x (+8) ÷ (+2) = 7x8=56. 56÷2=28. The answer is +28
12. (-6) ÷ (-2) x (+10) =6÷2=3. 3x10=30. The answer is +30

Study Questions for Integer Test

Combine the Following Integers
1. +4 and -7 =
2. +8 and -6 and -3 =

Solve the following problems
3. (-4) + (+2) + (+3) =
4. (+4) + (+3) + (-9) =
5. (-5) - (+2) - (-7) =
6. (+7) - (+6) - (+4) =

Mulitply and Divide the following problems
7. (+4) x (-8) x (-1) =
8. (+7) x (-2) x (+2) =
9. (-4) ÷ (-2) =
10. (-42) ÷ (-3) ÷ (-3) =
11. (+7) x (+8) ÷ (+2) =
12. (-6) ÷ (-2) x (+10) =

If you can solve these 12 questions you should be fine for the test on wednesday.

I will post answers to these questions, along with the steps to solving them tomorrow.

Happy Blogging everyone

Mr Reece

Sunday Night Math Game

I will be posting a new online math game every Sunday. I might post some games on other days as well, but you can be sure that there will be a new post on Grade 7 Math Blogorama every Sunday.

BBC Games

I suggest trying some of the Number games as they are a great review for concepts that we have covered and will be covering in math.

Have a great night

Mr Reece

Answers to the word problems

#1. Lucia's father bought a stock whose value was $49. Over teh nest 5 weeks the value of the stock dropped by $3 per week.
Questions
a) What is the current value of the stock?
The stock started at $49 and dropped $3 per week. We can write an equation to help us solve this problem. (+49) for the starting amount and (-3)x(+5) where -3 is the lost value and +5 is the number of weeks.
(+49) + (-3)x(+5) =
(+49) + (-15) = +34
or the value of the stock is $34

b) What value had the stock lost after 4 weeks?
I will create an equation again. (-3) x (+4) = -12 or the stock had lost $12



#2.Andrew and Megan were on a school quiz team. They were awarded 10 points for each correct answer and they lost 5 points for each incorrect answer. If they answered 15 questions correctly and 7 questions incorrectly what was their final score?

Lets create another equation to help us solve this problem. The correct answers = (+10) x (+15) where +10 is points per question, and +15 is the number answered. For incorrect answers = (-5) x(+7) where -5 is the points per questions and +7 is the number answered incorrectly. Our equation now is
(+10)x(+15) + (-5)x(+7) =
(+150) + (-35) = +115 points.
Megan and Andrew have +115 pts.


#3.Its Monday and its lunch time and you are hungry. You borrow $3 from one friend and $2 from another. On tuesday you bring enough money to repay both friends and still have $4 left over to buy a drink and sandwich. How much money did you bring with you to school? Lets create an equation again. -3 and -2 are the value of money borrowed from friends. +4 is what you have left over so

(-3) + (-2) +(___) = (+4)
(-5) + (____) = (+4)
(-5) + (+9) = (+4)

So the answer is that you brought $9 with you to school on Tuesday.

Math challenge

For anyone who is interested in a puzzle that will challenge your mind check out this link. A warning though as the puzzles can quickly become addicting.

Math Puzzle

Test Information

Some students have been asking when the Unit test on Integers will take place. The test will occur next week on either Tuesday or Wednesday. I will make sure to let everyone know over the next few days

This is a portal

Each grade 7 class has their own independent blog site where you will do all of your own postings, questions scribe notes etc. The main grade 7 math blogorama will be the the area that I post questions, helpful hints, links and other useful resources for all grade 7 students. Feel free to reply to my posts, but please limit new original posts to your own class blog domain.

Have fun blogging everyone and remember this is your online community, use it and respect it.