Teaching Notes
Shape and Space
Welcome to Week 4, this week we are thinking about all things Shape and Space. Shape and Space is a broad area of maths so we are going to focus on just three areas - angles, co-ordinates and 2D and 3D shapes.
Monday - Angles
An angle is a measure of a turn, measured in degrees or ° . There are 360° in a full turn. You can find out the size of an angle using a protractor.
- An angle less than 90° is acute
- An angle between 90° and 180° is obtuse
- An angle greater than 180° is reflex
- An angle of exactly 90° is a right-angle
For a fun way to learn the angles, click on the YouTube link below to listen to the Angles Song.
Using the posters below, ask your children to identify the three angles on the blue question cards.
When they are ready, click on the link below to play Alien Angles. You will be given an angle and you must move the marker to where you think the angle is.
https://www.mathplayground.com/alienangles.html
Tuesday- Angles and Compass Points
A compass is a circular in shape and therefore is 360°. Children will be familiar with the four cardinal directions of north (N), east (E), south (S), west (W) and the four intercardinal (or ordinal) directions northeast (NE), southeast (SE), southwest (SW) and northwest (NW).
To calculate the cardinal compass points 360° is divided by 4 so each compass point is at an angle of 90°. To calculate the internal ordinal compass points the 90° is divided by two and therefore the space between these compass points is 45°. Look at the diagram below.
Challenge your child to calculate the angles between compass points, give instructions using words like facing, clockwise and anti-clockwise.
Check out the examples below:
1) Start facing East, how many degrees will you go through to face SW? 135°
2) Start facing SW, how many degrees will you go through to face N when travelling clockwise? 90°
3) Start facing NE, how many degrees will you go through to face W when travelling anticlockwise? 225°
Wednesday- Coordinates
Coordinates are numbers which show the position of a point or a shape in a particular space (a map or a graph) Points are marked by how far along they are on the x axis (the horizontal axis) and how far up they are on the y axis (the vertical axis).
Coordinates are always written in brackets, with the two numbers separated by a comma. Coordinates are ordered pairs of numbers; the first number number indicates the point on the x axis and the second the point on the y axis. When reading or plotting coordinates you always go across first and then up (a good way to remember this is: 'across the landing and up the stairs').
Click on the link below to explore coordinates more and to watch the video clip.
https://www.bbc.co.uk/bitesize/topics/zgthvcw/articles/z96k9qt
Children can be asked to read coordinates in one quadrant or they can be asked to work out coordinates in all four quadrants. This means they have to think about negative and positive numbers. This is where some children can get confused because the negative symbol ( - ) is used. The poster below explains it in more detail.
Using the image below ask your child to give you the coordinates for the shapes.
Triangle - (3, 4)
Circle- (1, -5)
Pentagon- (-5, -2)
Square- (-3, 2)
Thursday- 3D Shapes
We often talk about the fact that 2D shapes are 'flat' and 3D shapes are not. Children are expected to be able to name these shapes, and also discuss the properties of these shapes.
Properties of 3D Shapes
When we talk about 3D shapes, we talk about faces, edges and vertices.
The faces are the flat parts of the shape
The edges are the lines where two faces meet
The vertices are the points where two or more edges meet (another way to say corner)
How would you describe the 3D shapes below?
Cube Cuboid
*6 flat square faces *6 flat faces- 4 rectangular, 2 square
*8 corners/vertices *8 corners/vertices
*12 edges *12 edges
To explore the properties of 3D shapes more, click on the link below and select a shape.
https://www.mathsisfun.com/geometry/common-3d-shapes.html
The game on the next link allows you to sort 3D shapes into a venn diagram depending on their properties. Each time you click on the criteria for the venn diagram before beginning e.g. you might choose ‘is a prism’ and ‘has an even number of vertices’ you will then be given shapes to sort according to your criteria.
https://mathsframe.co.uk/en/resources/resource/115/sorting_3d_shapes_on_a_venn_diagram#
Friday - Consolidation of Learning & Friday Test
3D Shape Consolidation Task
The children have tackled some very tricky concepts this week so we thought we would give them a fun, practical task today which will consolidate their knowledge of 3D shapes. Using junk materials or recycling like cardboard boxes, Pringles tubes etc, we want the children to make an ‘Isolation Monster’ using 3D shapes found at home. We’ve included some examples below.
We would love to see the 3D shape monsters, send a picture to our Facebook account via the messenger app. Will anyone be able to include so,e lesser known 3D shapes like a dodecahedron or a hexagonal prism?
Friday Test
This week's times table focus was x5. Ask your child their x5 tables in a random order ensuring you cover all times tables from 0 x 5 to 12 x 5. We have put together an additional 10 questions relating to this weeks topic of Shape and Space which can be asked during the Friday Test.
1. Name the angle with 90° - Right Angle
2. Name the angle greater than 180° - Reflex Angle
3. Name the angle less than 90° - Acute Angle
4. Name the angle greater than 90° but less than 180° - Obtuse Angle
5. How many degrees in a full rotation in a circle? 360°
6. How many degrees on a straight line? 180°
7. List the 8 compass points- N, NE, E, SE, S, SW, W, NW
8. How many degrees between N and SW going clockwise? 225°
9. How many degrees between S and E going clockwise? 270°
10. How many degrees between NE and W going anti-clockwise? 135°