Parallelograms

Parallelogram - a four sided figure with opposite sides parallel and equal in length.

Note: the arrow explains to you that the lines are parallel on the diagram that's shown.

Base - a side of a closed 2 dimensional figure.
- common symbol is B.




Height - the perpendicular distance from the base to the opposite side.
- common symbol is h.



Area of a parallelogram
Base x Height ( bxh )




b- 6cm b x h = area of parallelogram
h- 4cm 6x4 = 24cm²



= area of parallelogram
= b x h
10 x 3 = 30cm²

area of a parallelogram
b x h =
2x4=8 m²


Here is a link to help you more about Parallelograms.

Here is a video to help you learn more about Parallelograms.

Angle bisectors

hello there are 2 ways to make an angle bisector

Method 1: use a compass
1. sharp point on the vertex.
2. make an arc that intersects both rays of the angle, label those intersections.
3. from the new intersections make two more arcs.
4. With a ruler draw from the line intersection to the vertex.
5. that line is your angle bisector.

Method 2: Use a protractor
1. measure the angle with a protractor.
2. divide the angle measurement x 2.
3. mark the half way point using the protractor.
4. use a ruler to connect the half way point to the vertex.
5. that is your angle bisector.

Acute angle (not an ugly angle)
is less than 90 degrees

eg.

Obtuse angle is greater than 90 degrees and less than 180 degrees
eg.

For extra help on angle bisectors wacth this video:

To day in math we were learning about perpendicular bisectors
first you have to have a line segment

eg.

then you use a compass and put it on line segment A
then puut the pencil side just slighty over the middle and make an arc
and do the same thing for line segment B but when u do it make sure u have the compass in the same position from line segment A

then make a straight line in between where the arcs meet then there you have it a perpendicular bisector. that is just one of three ways to find a perpendicular bisector.
here's a video for extra help: hope it helps!

Perpendicular Bisectors

Bisect - bi and sect

bi - two

sect - cut

bisect - to cut in two

Perpendicular Bisectors

1. Draw a line segment

2. sharp end of compass on point A

3. make an arc slightly larger than half the length of the line segment

4. repeat the process from point B with the same size arc

5. with a ruler join the two arc intersections with a straight line

6. you now have a perpendicular bisector

Another way to make a perpendicular bisector is ;

1. draw a line segment

2. measure with a ruler

3. divide the measurement by two that is the half way point

4. use a right angle triangle to create a perpendicular line at the half way point

The third way is ;

In class today, we also did page 91 in our textbook, only the "show you know"

You had to include all 3 ways of perpendicular bisectors.

We also had to do page 92 in our textbooks. Numbers 1-3

For homework : pages 28-29 in our homework booklet.

Here is a quick video on how to draw a perpendicular bisector of a line :

Here is a link that can help you on perpendicular bisectors.

In class we learnt about bedmas.

brackets

exponents

devision

multiplication

addition

subtraction

Order of Operations:



B-BRACKETS

E-EXPONENTS

D-DIVISION

M-MULTIPLACATION

A-ADDITION

S-SUBTRACTION

15x6+8-(8+3) 15x6+8-(8+3)
15 x 6 =90
90+8=98
98-8 +3
Awenser is:93

Order of operations

B-brackets
E-exponents
D-division
M-multiplication
A-addition
S-sudtraction



Show your thinking

eg 1.2+3x4=

2+12=

14



Here is a picture















there is a link

B - Brackets
E - Exponents
D - Divided
M - Multiply
A - Addition
S - Subtract

B-Brackets
E-Exponents
D-Division
M-Multiplication
A-Adding
S-Subtration

BEDMAS is a rule of order and operation and if you dont follow them you can lose an easy mark on an very wasy qustion.So you need to see if there are any brakets in the question then move on and see if there are any exponents then division then multiplication adding and subtracting its pretty easy

E.G
2x4+1=
8+1=
9+

Im so sorry guys i couldnt find a good link or video or picture Fell free to give me ideas to im prouve thanks bye:(

Order Of Operations

This week in class we did order of operations. Here is the table for it

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

here is a picture and eg.:

http://cemc2.math.uwaterloo.ca/mathfrog/english/kidz/order.shtml

Order of Operations

B - brackets

E - exponents

D - division

M - multiplication

A - addition

S - subtraction

here is how you work with BEDMAS.

1st - check if they're any brackets

2nd - check if they're are any exponents

3rd - check for division

4th - check for multiplication

5th - check for addition

6th - check for subtraction

here's an example

here are the solutions to Fridays homework:

1. Annie has been asked to calculate 1.7 + 6 ÷ 2. She claims the answer is 3.85. Do you agree? Explain why or why not.

No, because the answer is 4.7.

1.7 + 6 ÷ 2 =

1.7 + 3 =

4.7

2. Put brackets in the following expression to get the largest value

possible. What problem solving strategy did you use?

3 x 2.8 + 6.4 ÷ 4 =

brackets: 3 x (2.8 + 6.4 ÷ 4) =

3. Create a problem that could be solved using the following expression.

2.5 + 1.25 + 5 x 1.6 =

Lucy went to the canteen and bought a burger that cost $2.5, a cookie that cost $1.25 and 5 pieces of candy that cost $1.6. How much money would Lucy need to buy her lunch?

My answer:

$2.5 + $1.25 + 5 x $1.6 =

$2.5 + $1.25 + $8 =

$3.75 + $8 =

So Lucy would need $11.75 to pay for her lunch.

Here's a video to help you with the order of operations!

Also a link to help you out.

order of operation

B brackets
E exponents
D division
M multiplication
A addition
S subtraction

EG.

2+4/2x6=
2+2x6=
2+12=
=14










link: http://www.mathplayground.com/order_of_operations.html

Order of Operation

B - Brackets

E - Exponents

D - Divison

M - Multiplaction

A - Addition

S - Subtraction

show your thinking
Eg 1. 2 + 3 x 4 =
2 + 12 =
14=

Picture:


Link: http://cemc2.math.uwaterloo.ca/mathfrog/english/kidz/order.shtml

if this didnt help you then wacth this:

Order of Operations

When you are doing order of operations you need to learn the word bedmas
B- Brackets
E- Exponents
D- Division
M-Multiplication
A- Addition
S- Subtraction

 Here is how you do it

1st check if there are brackets
 2nd check if there are Exponents
3rd check if there is multiplication or division
4th check if there is addition or subtraction

eg

 Here is a video that might help you


Here was our Homework

1. Q. Annie has been asked to calculate 1.7 + 6 ÷ 2. She claims the

answer is 3.85. Do you agree? Explain why or why not.

1. A. I do not agree. Because if the question is 1.7+6÷2, you would have to divide first, here how it would look if you did; 1.7 + 6 ÷ 2 =

                   1.7 + 4 =

5.7 =

2. Q. Put brackets in the following expression to get the largest value

possible. What problem solving strategy did you use?

(3 × 2.8) + 6.4 ÷ 4. I used order of operations to solve the problem.

2. A. Red= Answer

3. Q. Create a problem that could be solved using the following

expression.

2.5 + 1.25 + 5 × 1.6

3. A. How much money will I need if I need to buy an Apple pie[$2.5], Bottle of coke[$1.25], and 5 chocolate bars[$1.6 ea.]?

Order of Operations

1. Check to see if there are brackets in the question.

2. Check to see if there are exponents in the question.

3. If there is division or multiplication in the question, start from left, then right. If the question is division first, then you divide. If the question is multiplication first, then you multiply.

4. If there is addition or subtraction, start from left, then right. If the question is addition first, then you add. If the question is subtraction first, then you subtract

(64-32 x 2) + (22-3 2) =

First, look if there is any brackets.Yes, so solve the question in the bracket.

(64-64) + (22- 3 2)=

0 + (22-3 2) =

0 + (22-9) =

Now, do you see addition or subtraction? Yes, so you solve question from left to right.

0 + 13=

= 13

1.

2.

2.5 + 1.25 + 5 x 1.6 =

2.5 + 1.25 + 8 =

3.75 + 8 =

= 11.75

Ashley needs $ 11.75 to purchase the items she wants.

Here is a link to help you have a better understanding

Order of Operations!

B - Brackets
E - Exponents
D - Division
M - Multiplication
A - Addition
S - Subtraction

1. First, check if you have see any missing brackets in the question.
2. Then you go to the exponents and check you see any missing exponents in the question.
3. Then you go to division or multiplication and you have to start left, then right and also, you division first, then you divide, then you think is multiplication first and you multiply it!
4. Then you to addition or subtraction and you have to start left, then right and also, you addition first, then you add, then if you think is subtraction first and then you subtract it!

e.g.

6 - ( 5 - 3) + 10
\ /
+ 6 - 2 + 10
\ /
+ 4 + 10
\ /
= 14

Watch the video!

Order of operations

B-Brackets

E-Exponents

D-Divide

M-Multiply

A-Addition

S-Subtract

Here are some examples;

2+4÷2x6= 6-2÷2=

2+2x6 = 6-1 =

2+12 = 5 =

14 =

______________________________

Here is a video to help you.

____________________________________________________________________

For our home work,

we had to do some problems;

1. Q. Annie has been asked to calculate 1.7 + 6 ÷ 2. She claims the

answer is 3.85. Do you agree? Explain why or why not.

1. A. I do not agree. Because if the question is 1.7+6÷2, you would have to divide first, heres how it would look if you did; 1.7 + 6 ÷ 2 =

1.7 + 4 =

5.7 =

2. Q. Put brackets in the following expression to get the largest value

possible. What problem solving strategy did you use?

(3 × 2.8) + 6.4 ÷ 4. I used order of operations to solve the problem.

2. A. Red= Answer

3. Q. Create a problem that could be solved using the following

expression.

2.5 + 1.25 + 5 × 1.6

3. A. How much money will I need if I need to buy an Apple pie[$2.5], Bottle of coke[$1.25], and 5 chocolate bars[$1.6 ea.]?

Order of Operation

1) First thing you do is, check if there are any brackets.

2) If there are no brackets, check if there are any exponents if not,

3) C

heck if there are any division or multiplication. if so, you start from left to right,

4) Then, you check if there are any addition or subtraction. Remember you must start from left, then to right.

This is one of the examples we did on Friday.

=

Next, you have to solve the questions in the brackets.

=

=

Remember to always use B.E.D.M.A.S! You need to solve the exponents before addition or subtraction!

=

The answer is...13

______________________________________

What do I think Annie did?

I think that Annie didn't use B.E.D.M.A.S, and so, she got it wrong! What she did was, she added 1.7 and 6 together! And then she divided that answer by 2! Giving her 3.85!

Which means, I don't agree with her. You are suppose to solve the multiplication or division questions before, addition or subtraction!

This is how you're suppose to do it...

1.7+ 6 divided by 2

1.7 + 3 = 4.7

Where I put the brackets

What I did was put the brackets after the 3 and after the 4.

3(2.8 + 6.4 divided by 4) =

What I did...

First solve the equation in the brackets, division first. Now you'll get this...

3(2.8 + 1.6) =

Now you can do the addition in the brackets and then open up the brackets.

3 x 4.4 = 13.2!

My problem...

Alice needs to buy groceries for her mom. She needs to buy a pack of carrots, a loaf of bread and 5 oranges. A pack of carrots is $2.50, a loaf of bread is $1.25 and 1 orange is $1.60. How much money would she need?

How I solved it...

$2.5 + $1.25 + 5 x $1.6 =

$2.5 + $1.25 + $8 =

$3.75 + $8 =

The answer is $11.75!

Here's a video to help you learn more about Order of Operation

Here's a link to help you learn more about Order of Operation

Order of Operations

B ~ Brackets

E ~ Exponents

D ~ Division

M ~ Multiplication

A ~ Addition

S ~ Subtraction

E.g.
2 x 4 + 1 =
\ /
8 + 1 =
9


Here is a video to help you:


Homework :
1.
Annie has asked to calculate 1.7 + 6 ÷ 2. She claims the answer is 3.85. Do you agree? Explain why or why not.

No, because:
1.7 + 6 ÷ 2 =
1.7 + 3 =
4.7





2.Put brackets in the following expression to get the largest value possible. What problem strategy did you use?

( 3 x 2.8 ) + ( 6.4 ÷ 4 ) = 10





3. Create a problem that could be solved using the following expression.
( 4 ÷ 2 ) + ( 6.7 x 2 ) = 15.4




Here is a quick game.

Order of Operations

B- brackets


E- exponents


D- division


M- multiplication


A- addition


S- subtraction



eg. 2+ 3 x 4= 1. So first you look if theirs brackets but theirs no brackets so you go to the next one.


2 + 3x4= 12 2. So now you look if theres a exponent but theirs none too so you just move on.


2 + 12 =12 3. Next you look for a multiplication or division their is multiplication so you do that one 3x4


4. Now you bring down 2 and + then you look if there is addition or subtraction theres addtion so you do that 12 +2 equals14.

thats how you do it.


here is a picture to show you.







now here is a video to show you.





Solutions to 3 questions


annie has been asked to calculate 1.7+6 divided by 2 answer is 3.85 do you agree? no because the answer is 4.7 so what she didn't do is 6 divided by 2 equals 3 then add 1.7= 4.7. 1.7+6 divided by 2=
1.7 + 6 divided by 2 = 3
1.7 + 3 = 4.7

Order Of Operation

When you are working with order of operation you need to know:

B- Brackets ()

E- Exponents 3²

D- Division ÷

M- Multiplication x

A- Addition +

S- Subtraction -

Now here are the rules:

1. First check if to see if there are any brackets in the math question.

2. Then check if there are any exponents in the math question.

3. Now check to see if there is multiplication or division in the math question from left to right.

4. Finally check to see if there is any addition or subtraction in the math question from left to right.

E.G.

1. 2 + 3 x 4 =

2 + 12 =

14 =

If you are still confused here's a video to help you understand about Order of operation

1.

Annie was asked to calculate 1.7 + 6 ÷ 2. She claims the answer is 3.85. Do you agree?

Explain why? or why not?

1. 7 + 6 ÷ 2 =

1.7 + 3 =

4.7 =

2.Put brackets in the following expression to get the largest value possible. What problem strategy did you use?

3 X (2.8) + (6.4÷4)=10

3. Create a problem that could be solved using the following expression.

(2.5)+1.25+5X(1.6)=11.75

E.G

1. Annie has been asked to calculate 1.7+6 divided by 2.She claims the answer is 3.85.Do you agree? i don't agree because if you use BEDMAS you would divided the answer first 6 divided by 2= 3 + 1.7 =4.7
2. Put brackets in the following expression to get the largest value as possible.What problem solving did you use? 3x(2.8)+(6.4)divided by 4=10.9
3. Create a problem that could be solved using the following expression. (2.5+1.25)+(5x1.6)=14

Anna and Jake calculated 2.5 + 1.25 + 5 x 1.6. Anna got 14, and Jake got 11.75. How do you think they got their answer? Who has the right answer?

Answer(my answer):

I think that Anna did the question like this:

2.5 + 1.25 + 5 x 1.6 = 14

I think that Jake did this:

(2.5 + 1.25) + (5 x 1.6) =

3.75 + 8 =

11

Jake added brackets so that he can make it easier.

What's your Answer?

If you want to practice your order of operations click this LINK.