Geometry Flashcards
What are the different things that can be considered when we are talking about geometry?
Transformations, Reflection, translation, Types of
symmetry, 2-D and 3-D shapes, Shape vocabulary, Classifying shapes and properties
What can you play to help children with geometry?
Close your eyes. Create a large red rectangle that can see clearly in your mind’s eye. Stand it on its end so you can see it standing on its shortest edge. Explain it get children to open their eyes to sketch it.
What are parallel lines?
Are like railway lines
What are perpendicular lines?
Lines at 90 degrees
What are acute angle?
less than 90 degrees
What are obtuse angles?
Between 90 to 180 degrees
What are reflex angles
More than 180 degrees
When identifying angles what else can we do to help children develop a more in-depth understanding?
Pupils need to visualise the shape and help pupils understand the different properties of the shapes.
What are the different 2D shapes?
Circle
Triangle
Square
Rectangle
Star
Pentagon
Hexagon
Octagon
What are the different 3D shapes?
•Cube
•Cuboid
•Pyramid
•Sphere
•Cone
•Cylinder
•Prisms e.g. Hexagonal Prism
The definition of the prefix ‘tri’ in the word ‘triangle’ is?
Means 3
Do all triangles have three sides and all three internal angles add up to 180 degrees
Yes
How many types of triangles is there?
What are the names of these triangles?
3 Triangles
What is an isosceles Triangle?
A triangle with 2 equal angles and sides
What is a Scalene triangle?
A scalene triangle has no equal angles or sides?
What is an equailerial triangle?
All sides are the same
What are polygons?
A closed 2D shape made up entirely of
straight edges (sides)
What are regular / Irregular polygons?
Is a square a parallelogram?
Yes…The opposite sides of a parallelogram are of equal length hence squares with all sides equal are parallelograms.
Is a square a type of rectangle?
All squares are rectangles but all rectangles are not squares. A rectangle is a quadrilateral, all of whose angles are equal i.e. right angles. Square, apart from all equal angles, also has all sides equal. Hence, square is a special case of rectangle. In other words rectangle is sometimes a square (when all sides too are equal).
What are the quadrilaterals?
Quadrilaterals, kite, trapezium, parallelogram, rhombus, square, rectangle, Isosceles quadrilaterals trapezoid
What games can be introduced to help children with geometry?
Matching Activity •A lesson
introduction aimed at finding out what children already know about the shapes.
Post-It Shapes
•A fun starter activity aimed at asking pupils to use and apply knowledge about
properties of 2D shapes.
Look at these shapes. Can you make them from Post-
its?
•Once you have made it note down some of the shape’s
properties.
•Think about what it might be called.
•Lines of Symmetry
•What angles can you see? (Sizes, Types)
•Parallel lines? How many?
•Can you create your own shape?
Post-It Shapes
What is tessellation?
A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps. A pattern made of one or more
shapes:• the shapes must fit together
without any gaps • the shapes should not overlap
What’s a vertex?
A vertex is just a “corner point”.
What are regular Tessellations?
A regular tessellation is a pattern made by repeating a regular polygon.
What are semi-regular Tessellations
A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same!
What are some good game to play with kids regarding geometry?
Posting boxes: matching the solid shape’s face to its ‘hole’.
•Making pictures and patterns with tiles and coloured sticky paper
shapes help children to begin to discriminate (But note that these
materials are not ‘2-D’ in themselves; they have depth! Confusing
isn’t it!)
•Looking at solid shapes, and describing their faces.
•Printing with the faces of solid shapes to see what shapes are
made.
•Sorting scraps of material and papers to find, e.g. those with dots,
stripes, etc.
•Feely bag activities with flat shapes (tiles) in a bag.
•Sorting flat shapes by their properties: three sides; curved side,…
•Finding shapes which are not square, round,…
•Making shapes in the sand; drawing around a template; making
impressions in the sand.
•Completing jigsaws: start with simple ones: inserts; then two/four
pieces; then tray jigsaws with 8/10/12 pieces; then jigsaws with no
tray & Making a jigsaw by cutting up a Christmas or birthday card
and reassembling it.
How can we use Classification in a Venn Diagram?
To sort out what and do what?
Tessellation
•Regular / Irregular
•Polygon
•Right Angles
•Amount of sides
•Angles
•Families e.g. Quadrilaterals
What is WALT AND WILF in relation to geometry?
WALT - Describe, identify and think about the properties of 3-D
shapes.
WILF - I will know the names and some of the key properties of
common 3-D shapes. I will be able to classify 3-D shapes.
WALT - We Are Learning To
WILF - What I’m Looking For
What is the net meaning to a 3d shape?
Edge
Vertex
Vertices
Face
What is a cross section?
A surface or shape exposed by making a straight cut through something, especially at right angles to an axis.
What are the properties of 3-D Shapes and what shapes are there/
Cuboid, Sphere, Cylinder, Hemisphere, Rectangular prism, Triangular prism, Pentagonal prism, square base prism
Edges –
Faces –
Vertices
What misconceptions is there?
Incorrect names for sphere/quadrilateral, etc.•Definitions of quadrialterals, i.e.
square, rectantangle are examples of
a parallelogram •Regular / irregular polygons •Use of terms face, vertex, edge.
•Orientations