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

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

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

My mobile phone bill is calculated using the formula below:

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…

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…

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

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

2D Shapes: Draw and name

3D Shapes: Draw and name

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

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?

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

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

Nets

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

Examples

Compound Shapes

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

How could this shape be split up?

How could this shape be split up?

And this one?

And this?

And this?

What happens to the measurements?

Can you work out the measurements on this shape?

And this one?

Tessellation

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

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

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.

Here are some examples of Escher’s tessellations

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

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?

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

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

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?

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

Directed Study

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?