Archive
Tessellations – Barcelona
Tessellations in Roof
I took this photograph whilst on holiday in Barcelona. It is the roof of a market.
What do you notice about the shapes on the roof?
Why do you think the shapes fit together perfectly?
How do you think you could show this mathematically?
Where else have you seen patterns that tessellate? Art?
Which other polygons will tessellate?
Jubilee Starter – Bunting
Jubilee Summer House
This summer house has had bunting placed around the outskirts of the roof.
It took two packets, each containing 5 metres of bunting.
The bunting fitted exactly around the outside of the circular room.
- What is the diameter of the summer house?
Bath Canal Bridge – Similar Shapes
Bridge – Similar Shapes
- These circles are similar what does that mean?
- The scale factor of enlargement between each circle is 1.4. Given the diameter of the first circle is 6cm, work out the diameter of the rest.
- Work out the area of the first circle
- Work out the area of the second circle
- What would you multiply the first area by to get the second area? Compare this to the scale factor of enlargement
- What would you multiply the second area by to get the third area? Compare this to the scale factor of enlagement
- Work out the areas of the rest.
WW2 Coordinates starter, Metric Imperial lesson
This is the worksheet to go along with the start of the WW2 themed unit on Geometry.
Wear army uniform and congratulate soldiers on making it safely to the meeting point.
As this is happening, play Air Raid Siren and quickly hide under desks.
Place coordinate A on sheet before photocopying.
Cadbury Starter – Number
Cadbury Chocolate
On a recent trip to the ‘Cadbury’ Factory near Birmingham.
- How many years ago was the Creme Egg first invented?
- How many years ago were Roses invented?
- How many years after Crunchie was invented, was Wispa invented?
- What year is halfway between 1948 and 1970?
Vertically Opposite Angles – Stourhead
Stourhead Vertically Opposite
This picture was taken within the gardens at Stourhead.
The two red and white planks cross each other.
- What do you notice about the types of angles produced?
- What do you notice about the opposite angles?
- If the acute angle at the top is 35 degrees, what size would the acute angle at the bottom be?
- What size would the obtuse angles be?
Supermarket Sweep – Money
Special Offer
- What do you think of this “special offer?”
- How much would 6 Rice Pudding’s cost at their normal price?
- If the special offer is 6 for £2, what is the difference between the special offer and normal price?
Units – Swimming Pool in Turkey
Swimming Pool in Turkey
This depth is painted beside a swimming pool in Turkey
- What does the cm stand for?
- Is that an imperial or metric unit?
- Convert 150cm into m
- Convert 150cm into mm
- 1 inch is approximately 2.5cm, roughly how deep is the pool in inches?
- If 12 inches is a foot, how deep is the pool in feet?
Number, Space – Lift in Turkey 1
Lift in Turkey
Above is a picture from inside of a lift in Turkey.
- It says the weight limit is 1000kg or 13 persons. What is the average weight of a person according to the lift?
- If Mr Corbett weighed 110kg at the time of the picture and there were 12 other people in the lift, what is their maximum average weight.
The lift is currently on level -1, this is where the conference rooms are.
- If the lift went down another 3 levels, which floor would the lift be on?
- If the lift went up 3 levels, which floor would the lift be on?
The lift travels at a maximum speed of 1.00m/s.
- If the lift has been travelling upwards for 14 seconds at the maximum speed, how far has the lift gone up?
- I enter the lift on the Ground floor and press level 8. The lift doors close and the lift starts to move upwards slowly and accelerates uniformly to reach it’s maximum speed after 2 seconds. It travels at it’s maximum speed for 15 seconds, then starts to slow down for 3 seconds where the lift stops on level 8. Draw a Speed-Time graph for this journey.
- Draw a Distance-time graph for the above journey.
Least Common Multiple – Zebra crossing
Zebra Crossing
While watching two lights beside a Zebra crossing, I noticed they were flashing at different speeds. The one on the left flashed every 3 seconds and the one on the right flashed every 4 seconds.
- If they have both just flashed at the same time, after how many seconds will they both flash together again?
- If another pair of lights flash every 1.5 and 3.5 seconds, when will they both flash together?
- Two lighthouses shine every 14 and 21 seconds, when will they both shine together?
