Math Playground

Try soem of these games, during your long weekend.

http://www.mathplayground.com/

Solving Equations

Equation - A mathematical statement with two expressions that have the same value.

EG.
x+2=3 1+1=2 --equation
x+2 is the expression and also is 3
2+3=6-1
--2+3 & 6-1 are both an expression
and the whole thing is called an equation and the whole thing is an equation
y-7=-4 3a-2=a+2

An equal sign (=) doesn't always mean the answer, it can mean it has the same value


2B+1=5



C+4= C=5
5+4
9


2C+3
2 is the numerical coefficient
C is the variable
3 is the constant

Writing Expressions - An expression can be written using a single constant, a single variable or a combination of operations with the constants, variables, or numerical coefficients.
EG.
2y-7
2-numerical coefficient
y-variable
- - operation
7- constant

Write the Equation



C+3=7




Expression - 3C-5
Variable - C
Numerical Coefficent - 3
Constant- 5



Equation - 2C+4=10
Variable - C
Numerical Coefficient - 2
Constant - 4 and 10

HOMEWORK
Show using cups and counters four times a number minus five equals seven write as expression or equation.
I.D variables, numerical coefficients, constants

Math Prob

Little Timothy had ____ friends and ____ girl friend. The next day he made _____more friends. So now Little Timothy has ____ friends, but he and some of his friends got into a fight. He lost ______ of his friends because he owed someone ____ dollars. So now little Timothy has _____ friends. :(

My Problem

Timmy Owes _______ in his visa. he asked his girlfriend for ______________. he now owes _______. he bought candy for _________. he now has ________ his dad gave him a few dollars, he now has ________

this might be wrong. i think its right, but i'm not sure if it works. i'm sorry if it doesn't work. i tried my hardest.

Fill in the Blanks

One morning I woke up and checked my wallet, I had ____ dollars. But then my brother takes all my money, affecting it by ____. I' m now left with ____ dollars. I decided to ask my mom for money and she gives me ____ dollars. Then I saw ____ dollars but I was too lazy to pick it up. Then I bought candy, affecting my money by ____. After that, the ice cream truck came by so I decided to buy some ice cream affecting my money again by ____. Now I am left with____.

Use: -10, -5, -1, 0, 1, 3, 7, 10

This is my problem:
It is __ outside. This afternoon the temperature will be warmer by __. so the temperature will be __ (hint: the temperature it will start to snow). tomorrow morning it will be colder by __, making the temperature __. If you want to know the temperature for tomorrow evening you have to add these two integers to make nothing. (_+_=nothing)
Use these numbers: -10, -5, -1, 0, 1, 3, 7, 10.

Good Luck!

Problem Solving

This is my problem I made, I hope you can solve it! (:

Bob saw that he had __ dollars in his pocket. He asked his mom if she had anymore spare change. Bob's mom gave __ dollars to make __ dollars. He remembered that he owes his friend Jack __. He went to Jack's house and gave it, now he has __ dollars. On his way home from Jack's house he found a dollar but he owes __ dollars for Chad and __ for Emma. He gave __ dollars to Emma and now Jack doesn't owe anyone else except for Chad.

Use: -10, -5, -1, 0, 1, 3, 7, 10

Today at school :)

1. Draw the fourth figure


2. Create a T chart to show the pattern


3. Write an algebraic expression to show the pattern

4. Describe the pattern if your OWN words
The term number (x) squared (times itself) equals the number of circles (y).
5. Find the tenth term.
10= 10 x 10 = 100
6. Graph the pattern.


Philly woke up this morning and checked his bank account he had ___ dollars. He bought a shirt online, affecting his account by __ leaving him with __ . He then went to breakfast that affected his account by __ leaving him with __. The job he has paid him __. How much does he have? ___
Use : (-20), (-15), 65, 75, 68, 100, 140

Yesterday morning it was __, by 3:00 it was __ warmer making the temperature __. At midnight it was __. At lunch it was __ colder than 3:00 and __ warmer than midnight and __ warmer than the morning because it was __ .
Use : 13, 10, 9, 8, 6, 5, 3, (-1), (-5)

Make your own using : -(10), 10, 0, 7, 3, (-5), 1

I have __ dollars. I add __ to make __. I won __ and __ to make the opposite from my start. I was robbed __. I found _ and _ dollars now :)

Make sure you comment on the blog showing your own question :)

Subtracting Integers .

Today in math we learned how to subtract integers.

5 - 2 =3



(-5) - (-3) = 2


Show using chips :
(-7) - (-3) =
3 - (-4) =
(-6) - 2 =
(-2) - (-5) =



This morning it was -2. This afternoon will be 3. Determine the difference of these temperatures.

Method 1)
Subtract the morning temperature from the after noon temperature.
3 - (-2) = 5

Method 2)
Subtract afternoon temperature from the morning temperature .
(-2) - 3= 5


Sorry if it's confusing, I tried my best to explain it :)

Using a Number Line to Add Integers

Using a number line to add integers

Positive numbers move right

Negative numbers move left

Number lines can also be vertical: Positive numbers move up and negative numbers move down

HOMEWORK
Page 319 - 322 # 1 - 23

Integers

ID the pattern, write a chart and create algabric equation

How many sticks if I have 211 houses?

4x+1=y

4(211)+1=y

844+1=845

845=y

Integers Continued

Zero pair - Is a pair of integer chips with one chip representing +1 and

one chip representing -1

Eg.

- the pair represents zero because (+1) + (-1) = 0

Opposite Integers - two integers with the same numeral (a number) but different signs (+,-)

Eg.

Here is a short video that can help you add integers.

--HOMEWORK--

PG. 313-315

#1-20

Area and Integers

1. I am creating two circular flower beds in my front yard. The 1st flower bed has a diameter of 12m the second has a radius of 8m. My front yard is 20m wide and 30m long. The rest of the front yard is grass. How many square meters of grass will I have to cut once the flower beds are in? You will have to cut 286 m2.





First Flower Bed
Ao= pi r2
Ao= 3.14 x 6 squared
Ao= 3.14 x 36
Ao= 113.04 m2

Second Flower Bed
Ao= pi r2
Ao= 3.13 x 8 squared
Ao= 3.14 x 64
Ao= 200.96 m2

The Front Yard
A= L x W
A= 30 x 20
A= 600 m2
113.04 + 200.96= 314
600 - 314= 286 m2

2. You have a triangular yard with the height of 15m and base of 10m. You build a sandbox that has a circumference of 6.28. How much of the yard is left after you build the sandbox? 71.86 m2 of the yard is left.

area=BxH/2

area=10x15/2

area=150/2

area=75m2

Ao=pi r2
Ao= 3.14 x 1 squared
Ao= 3.14 x 1
Ao= 3.14

75-3.14= 71.86 m2

Integers
Integers are positive and negative whole numbers and zero. eg. 2, -6, 91, +103, -1000, 0

NOT INTEGERS- 3/4, 1/2, 4/5, 0.1, -0.7, 91.3, 1.3, 95%, -60%

Integers are shown on a number line or using integer chips.

HOMEWORK

1. ID each integer

a . b . c ... d .... e....... f .....

2. Represent each integer with chips and/or a number line.

a) +2 b) 6 c) -4 d) +7 e) -6 f) -8

Thursday's Test !

Chapters: 5, 6, 7 and 8.

5 probability - outcomes. 

6 fractions - divisibility subtracting. 

& fractions - add + subtracting.

                    - like + unlike denominators.

                    -mixed numbers. 

8 circles - construct. 

                - circumference, radius, diameter, area.

                - formulas. (know them)

                - pi, 3.14, symbol. 

                - circle graphs. 

A lot to study guys, so spend time studying every night if you want to pass! :) 

Review from your notes, the blog, or the online textbook. 

Also; 

ASK ISFELD FOR HELP! He wouldn't want to see you fail. :(

This test goes in your portfolio for student led. So do well, and impress your parents! :) 

HOMEWORK: 

Pages 298 - 299. #s 1-22.

Construct a Circle Graph

Create Circle Graphs .

1. Construct(make, build) a circle
Use a string, compass or trace a circle.
2. Create the Central Angles
- central angle is an angle formed by 2 radii
- the vertex of the angle is at the center of the circle
Create a circle graph :
25% like strawberry
25% like vanilla
50% like chocolate




Make a graph for the following information :
3 kids use the computer 1-3 days per week.
9 kids use the computer 0 days per week.
18 kids use the computer 4 or more days per week.
Step 1. Find out how many in total.
Add all of the kids together = 30 kids in total
Step 2. Convert to percent
100% = 360 degrees .
10% = 36 degrees
30% = 108 degrees
60% = 216 degrees
Try this website :
http://www.mathplayground.com/piechart.html
Homework
Pages 296-297
Questions 4-13