6W 5/5/20- Maths (Calculating angles)

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)

Bronze reasoning starter challenge

SILVER (Miss Vega’s Maths group)

Silver challenge

GOLD (Mrs Hurt’s maths group)

Reasoning challenge-Gold

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!

19 thoughts on “6W 5/5/20- Maths (Calculating angles)

  1. 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.

  2. 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.
    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.

  3. 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

  4. 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

  5. Gold:
    1.I dont agree because there are 2 other angles so it cant be 116 degrees.
    a = 120 degrees
    b= 240 degrees
    a= 72 degrees
    b= 18 degrees
    Chocolate = 90 degrees
    Sweets = 45 degrees
    Fruit = 225 degrees.
    Blue = 180 degrees.
    Red = 120 degrees
    Green = 60 degrees

  6. 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.

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