Programme of Study statements |
Activities |
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B |
C |
D |
E |
identify 3-D shapes, including cubes and other cuboids, from 2-D representations |
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know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles |
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draw given angles, and measure them in degrees (°) |
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identify:
- angles at a point and one whole turn (total 360°)
- angles at a point on a straight line and half a turn (total 180°)
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use the properties of rectangles to deduce related facts and find missing lengths and angles |
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distinguish between regular and irregular polygons based on reasoning about equal sides and angles |
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Use ‘Logo’ to draw the design shown. This requires using knowledge of angle properties of 2D shapes.
Activity B: Cuboids
How many different cuboids can you make with 12, 24, 36… linking cubes?
Challenge the children to draw their formed shapes on isometric paper. In how many different ways can a single cuboid be represented? Does the number of cubes need to be even?
Activity C: Equal angles
Fold along the diagonals of a square piece of paper. Unfold and mark all the angles of the same size. Fold along the lines of symmetry of a square piece of paper. Unfold and mark all angles of the same size.
Repeat for a rectangle. Repeat for other quadrilaterals. Are there the same number of equal angles each time? Why/not?
What if the starting shape was a regular pentagon? Hexagon?
Activity D: Sorting triangles
Cut out a set of a variety of triangles including equilateral, isosceles and scalene and those whose greatest angle is acute, right and obtuse. Ensure there is a set of at least twenty triangles per group. Invite children to find as many ways as possible to sort the triangles.
Summarise by introducing classification by side length: equilateral, isosceles, scalene and classification by greatest angle: acute-angles, right-angles and obtuse-angled. Complete the table, by placing triangles in the space – children could construct their own examples. They must justify any gaps…
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equilateral |
isosceles |
scalene |
acute-angled |
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right-angled |
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obtuse-angled |
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Activity E: Shape Perimeter
How many shapes can you make with a perimeter of 12cm?
This can be extended to asking about the area of the shapes made and challenging the misconception that a fixed perimeter implies a fixed area.
Useful Resources
- Squared, plain and dotty papers
- Logo
- Dynamic geometry
- Practical materials for shape