Geometry: 2D and 3D shapes. What is a tangram? What is symmetry? How can we find the lines of symmetry? How can we put our findings about shapes into a poster to help us remember? This is going to be a recap week on 2D and 3D shapes. Join us as we put all our learning together.
Last weeks review.
Geometry and properties of shape
https://www.whyplay.co/topics
Problem solving:
I am a 3D shape with 4 rectangular faces and 2 square faces. What am I?
I am a 3D shape with 1 curved surface and one circular face. What am I?
I am a 3D shape with 6 square faces. What am I?
I am a 3D shape with 1 curved surface and 2 circular faces. What am I?
My shape has 4 vertices. What shape could it be?
My shape has no vertices. what shape could it be?
True or False - All squares have 5 vertices.
What 2D shape has twice as may vertices as a square?
What 2D shape has half the amount of vertices as a hexagon?
Tiny struggled with this at first - when we started using 3D shapes we found around the house it was better. We used cereal boxes, tins balls,
Which shape has more vertices?
2 squares
4 triangles
2 pentagons
Again for this we used our cut out shapes. This was a bit easier.
Problem solving questions like these are a very important part of the learning. Talking about maths and solving problems helps to deepen the understanding.
Tiny then started asking me questions which I had to solve. We turned this into a game.
Dotty Paper to help draw shapes:
http://www.mathsphere.co.uk/resources/MathSphereFreeGraphPaper.htm
Drawing different size rectangles; Squared paper
We did some more drawing shapes using the dotted paper. This is so difficult for Tiny to do, but he did try very hard. He wanted to colour in the shapes and then he wanted me to cut them out. As I was cutting I was able to make them more like the shapes he wanted them to be so he was very pleased with himself and very happy with the result.
Symmetry
We did a lot of folding shapes in half to see if they were symmetrical. Then we drew lines on symmetry onto some shapes. We identified some shapes with now lines of symmetry.
Cones are described as having 1 face and 1 curved surface.
Cylinders have 2 faces and 1 curved surface.
Spheres have 1 curved surface.
We talked a lot about faces and curved surfaces and found things around the house and identified whether they had faces or curved surfaces:
The grid went well, and using objects we were able to identify and fill out the table.
This will need looking at again in the future to reinforce it.
These sheets you will find on https://www.whyplay.co/topics resources pack 2.
From around the house, we are going to identify the edges.
This also went well. I was pleased that he is beginning to visualise 3D shapes
Making nets was hard and I had to give him a lot of help with this.
Before we put the nets together we were able to see more clearly how many faces of curved surfaces it had.
We just used the pre-drawn nets. I will leave drawing out his own nets for another time.
This Week:
This is a consolidation week. We will be doing work with 2D and 3D shapes and using all the new words we have learnt like Faces, Edges, Vertices, Nets etc.
So to make a start.
Reasoning and Problem solving.
Q. What is the same and what is different
The answer I will be looking for is that both shapes have the same number of vertices, faces and edges, but the cube has only square faces and the cuboid has 2 square faces and 4 rectangular faces.
Q. Is a cube a type of cuboid?
It will be interesting to see what he makes of this question. I am going to ask him to explain his answer. I will be very happy if he says it is. If he says its not then I will explain than a cube is a special type of cuboid where all its faces are square.
For the next task I will need to introduce another word - QUADRILATERAL
I will show him examples of quadrilaterals and see if he can work out what the term means.
I will ask him what all these shapes have in common.
A quadrilateral is a four-sided two-dimensional shape. The following 2D shapes are all quadrilaterals: square, rectangle, rhombus, trapezium, parallelogram and kite.
We will talk about the word 'quad' meaning four and find some images of quad bikes on the internet.
Next we will be making some Venn diagrams to sort our shapes in different ways. This will add to the data handling we did in previous weeks. We will cut out a variety of different shapes and different colours to help us with this.
Tangrams
A traditional Chinese puzzle made of a square divided into seven pieces (one parallelogram, one square and five triangles) that can be arranged to match particular designs
We are going to cut out these shapes and make different images from them.
Nrich has some brilliant problems to solve using tangrams. Here is the website link: https://nrich.maths.org/1
Finally we are going to make a poster about all the things and the new words we have learnt about. I will cut out the shapes for him and help him with any words that he needs adding.
I have put some sheets with these images on the resources page. It's called shapes 3 for us to use
https://www.whyplay.co/topics
Next time we revisit geometry we will look at different triangles - angles - area and a lot more. But for Tiny we need to move on now. This has been enough for starters. I hope you join us in our next geometry session.