1. Week 8 Understand and use geometry
Functional MATHS
Week 8
Understand and use geometry

2. Starter – how many triangles and quadrilaterals are there in this shape?
Answer:
64 Triangles
36 Quadrilaterals
100 shapes in total

3. What did we do before half term?
Sequences/formulae
Understand and use formulae
Expressions and equations (what is n?)
Understand formulae expressed in words
Be able to use simple substitution

4. My mobile phone bill is calculated using the formula below:

5. Check your homework/ directed study…
There was no homework!
We are going to set one or more targets based on the last half term’s learning
I will work these into future lessons
Please think of something you would like to improve and write this on your paper
Put your name on it and hand in to me – will be input on Pro-monitor
Check your homework/ directed study…

6. Setting a target… Topic What we covered Graphs and charts
Scatter graphs, Tally charts, Pictograms, Bar charts, Pie charts, Line graphs
Understand, use & calculate number
Calculate using adding, subtracting, multiplying and dividing
Rounding
Negative numbers
Fractions and percentages
Find fractional parts of a whole number
Simplify fractions & find equivalent fractions
Calculate percentages of amounts
Ratio and proportion
Understand ratio notation (how to write a ratio)
Simplify ratios
Calculate amounts of parts using ratio
Best buys
Probability
The language of probability
Marking events on the probability scale
Calculating probabilities
Sequences and formulae
Recognising sequences (Entry)
Expressions and equations (what is n?)
Understand formulae expressed in words
Be able to use simple substitution
Setting a target…

7. What are we going to do today?
Geometry
Recognise and use 2D and 3D shapes
Names of 2D & 3D shapes
Nets of 3D shapes
Solve problems involving 2D compound shapes
Understand Tessellation

8. Groundwork: 2D & 3D activity
What is a 2D Shape?
What is a 3D Shape?
Can you draw and name the shapes using their description?

9. 2D Shapes: Draw and name

10. 3D Shapes: Draw and name

11. Polygons Think about the names of these polygons….
A quadrilateral has 4 sides.
Sum of the angles = 360
A pentagon has 5 sides.
A hexagon has 6 sides.
An octagon has 8 sides

12. Regular polygons Think about … What does ‘regular’ mean?
Think about What is another name for a regular triangle? What is another name for a regular quadrilateral?

13. Quadrilaterals
Think about … What is special about these quadrilaterals?
Opposite sides equal
All sides equal
Opposite sides parallel
Opposite sides parallel
Rectangle
All angles are 90⁰
Square
All angles are 90⁰

14. Think about What is special about….
parallel lines
are always the same distance apart
perpendicular lines
meet at 90

15. Nets

16. Nets
A Net is a 2D representation of a 3D shape that can be folded to form the 3D

17. Examples

20. Compound Shapes

21. Compound 2D Shapes What is a ‘Compound’ shape?
In task 2 of the exam you might need to work out the area and perimeter of compound shapes

22. How could this shape be split up?

23. How could this shape be split up?

24. And this one?

25. And this?

26. And this?

27. What happens to the measurements?

28. Can you work out the measurements on this shape?

29. And this one?

30. Tessellation

31. What is it? Tessellation
An arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping.

32. Escher and tessellations
M.C. Escher was born on June 17, 1898, in the Netherlands. He was known for being a graphic artist. His art was mathematically inspired

33. Escher created many interesting works of art
Escher created many interesting works of art. He used mathematics in his pieces of art although he was not well-trained in the subject. He used black and white to create dimension. He used cubes, cones, spheres and spirals. Escher’s art work was especially liked by mathematicians and scientists.

34. Here are some examples of Escher’s tessellations

41. Now let’s have a go at making our own tessellations.
Activity

42. Party Invites
You are making invites. The dimensions of each invite are 7cm by 6cm. How many can you make from an A4 piece of card?
Have a go at drawing each invite onto an A4 piece of paper – using as much of the space as possible
How many can you get on one piece of A4 card?

43. Exam skills
In the exam you will have to use maths to calculate how many you could make.
What information do we need?
Dimensions of the paper
Let’s try it

44. Using the calculation method
Dimensions of A4 paper/card: 29.5cm by 21cm
Dimensions of invite: 6cm by 7cm

45. Bookmarks
You are going to make bookmarks. The dimensions of the bookmark are 20cm by 3cm
You will cut the bookmarks out of pieces of A4 card. (Dimensions of A4 paper/card: 29.5cm by 21cm)
What is the most you can make out of 1 piece of card?
How many bookmarks can you make out of 25 pieces of card?
You need to make 50 bookmarks, how many pieces of card do you need?

46. 29.5cm
3cm
21cm
(A4 Paper)
(Bookmark)
20cm

47. Directed Study

48. Maths Directed Study How tall is the Burj Khalifa building in Dubai?
For your directed study this week I want you to find out the answers to the following questions, write down on paper and bring back to next week’s class:
How tall is the Burj Khalifa building in Dubai?
How tall is Jyoti Kisanji Amge?
How tall is Sultan Kösen?