Today we will be applying our knowledge of angles to help calculate missing angles. Similar to algebra and inverse calculations in a way.

First watch the video and then complete the following;

**BRONZE (Mrs Ahmed’s maths group)**

**SILVER (Miss Vega’s Maths group)**

**GOLD (Mrs Hurt’s maths group)**

**There are far too many children saying ‘I done it’ – this comment means nothing unless a photo of your work has been sent to the year 6 email. (Thank you to the few who are currently doing this)Every child in Year Six has access to a phone or tablets and every parent has an email address. Therefore we will only accept your work via email**

**or in full sentences in the comment boxes below.**

Remember we’re aiming to prepare you for Secondary School!

Gold:

I dont agree with Tommy because 180 degrees wouldn’t be 2 seperate straight lines, it would be 1 straight line, or have a circle. I know this because in the diagram you can see 2 seperate lines which are not connected into 1 straight line, and therefore Tommy is wrong

A = 120 degrees

B = 240 degrees

360 – 240 = 120

120 divided by 2 = 60

A = 72 degrees

B = 18 degrees

I found this out because i knew that the right angle was 90degrees, and 180-90= 90. Then i did 90 divided by 5 because A is 4 times bigger than b, but B is still an angle, and so 4B+B= 5B. 90 divided by 5 was 18 and 18 x 4 is 72.

Sweets = 45degrees

Chocolate = 90degrees

Fruit = 225 degrees

Blue= 180 degrees

Red= 120 degrees

Green= 60 degrees.

I found red out because Blue was a straight line, and a straight line is 180 degrees, and 360-180=180 degrees. Then i divided that by three because i had to find 3 greens. 2Green=1Red, 2Green (1Red) + 1 Green= 3Red And whe i divided 180 by 3 i got 60. I simply multiplied 60 by 2 which gave me red, and what was left was green.

I understand where you are coming from Sunny, however I think it is supposed to be connected.

Great explanation!

Gold:

1. I agree with Timmy because to find a missing angle you use the found angle subtracted by the angle line which is 180-64=116. so I agree with Timmy.

2. a=120. It equals 120 because the angle is a full whole so you need to do 360 divided by 3 which equals 120. So because a is half of b so b=240.

3.

chocolate=90

sweets=45

fruit=225

Chocolate equals 90 because it is a full corner and makes a right angle so 90.

Fruit equals 225 because it has 2 full corners and a half so 90+90+45=225.

Sweets equals 45 because there is only a half of a corner left so 90 divided by 2=45.

Great reasoning skills Raumaan. Well done!

Gold:

1) I do not agree with Tommy because he mentioned that angle is 116*,

however when looking at this angle, the angle is clearly an acute angle, which ranges from 0* to 89*. Tommy mentions this angle is 116*, which is the range of an obtuse angle. Therefore Tommy is incorrect.

2) The total of the angle is 360*. Therefore angle b = 240 and angle a = 120

3) The total votes in the pie chart add up to 360*.

Chocolate = 90* because it is a right angle.

Sweets = 45* because it is half of the right angle.

Fruit = 225* because it takes up one half + half of a right angle = 45* = 180 + 45 = 225. 225 + 90 + 45 = 360

Great Job Zak!

I have done it and sent it by email!

Gold(Mrs Hurts Maths group)

1.I agree with Tommy because 180-64=116 and angles on a straight line must equal up to 180 degrees because then it is the full angle.

If It doesn’t add up to 180 degrees then it is not a full angle.

2.A) a=145 degrees B) a=80 degrees

b=290 degrees b=20 degrees

3. Chocolate=90 degrees

Sweets=60 degrees

Fruit=300 degrees

How have you worked this out? These are incorrect, I can’t help you if you don’t show me your method x

Your maths is uploaded on the blog!

Gold:

1.I dont agree because there are 2 other angles so it cant be 116 degrees.

2a.

a = 120 degrees

b= 240 degrees

2b.

a= 72 degrees

b= 18 degrees

3.

Chocolate = 90 degrees

Sweets = 45 degrees

Fruit = 225 degrees.

4.

Blue = 180 degrees.

Red = 120 degrees

Green = 60 degrees

Why can’t it be 116? Can you explain

I have done silver.

Have you sent us your work?

i have done it miss!

Where Haj?

Silver

A)E= 180

B)g= 89

C)x= 131

D)a= 48

E)y= 198

F)z= 90

Dora has turned through 360 degrees.

I’ll send the number 5 on silver later and the other question.

Low battery

Nargis, please show me your working out, these answers are wrong and I am not sure how you got them?