Support (from Y8 teaching programme)
• Identify alternate angles and corresponding angles
• Understand a proof that (a) the sum of the angles of a triangle is 180 ° and of a quadrilateral is 360 ° (b) the exterior angle of a triangle is equal to the sum of the two interior opposite angles.
• Solve geometrical problems using side and angle properties of equilateral, isosceles and right-angled triangles and special quadrilaterals, explaining reasoning with diagrams and text
• Classify quadrilaterals by their geometric properties |
Core (from Y9 teaching programme)
• Distinguish between conventions, definitions and derived properties
• Explain how to find, calculate and use:
– the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons;
– the interior and exterior angles of regular polygons.
• Solve problems using properties of angles, of parallel & intersecting lines, and of triangles and other polygons , justifying inferences & explaining reasoning with diagrams and text |
1000 Playthinks
~ 454/455/456 Quartering shapes
~ 464 / 468 Square in to 2 square / square into 3 squares
KS3 Interacting Y9 GR
~ Visualisations
MAP
~ Angle facts
~ Polygons
~ Exterior angles
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Mymaths
Angler Game
Measuring Angles
Angle Sums
Reasoning
Parallel Lines
Interior Exterior
Pythagoras: The Theorem Active worksheets
Various angle activities
Keymaths
9-2 Chapter 13, 1
ATM We can work it out
~ 16 Inscribed shape L6
KS3 Interacting Y9
~ GR Problem bank: Problems with diagrams; Problems where a diagram needs to be drawn; Pentagrams; Problems with plane mirrors
KS3 T5
~ Add-on 8: Shapes and angles
MAP
~ 3x3, 4x4, 5x5 dotty paper activities
~ Given squared dotty paper, what squares can you draw, where the vertices have to be on the dots? Are there squares of certain areas that are impossible to draw in this way?
~ Angles in polygons |
HORN, Cornwall
~ Geometrical visualisations 3
KS3/ICT
~ Generalising about polygons
LOGO~
Use Logo software to help with reasoning of interior/exterior angles
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MAP
~ Spokes OHTs:
~ clock (30°);
~ compass rose (45°),
~ 90° spray
~ Geostrips
~ Generic assessment criteria
~ 3x3 , 4x4 , 5x5 dotty paper
CORNWALL
Vocabulary and key questions related to the Framework
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Using KS3 Interacting Y9 , resource sheet 'Flowchart of logical reasoning';
What reasoning links 'Angles on a straight line are 180°' to 'Vertically opposite angles are equal'?
Are there other links?
Why are the geometrical facts organised in this particular order, starting at the top and working down the chart?
What are the links and arrows intended to show?
Can you explain how to use the given facts to deduce that (a) vertically opposite angles are equal (b) alternate angles are equal?
Are the facts about triangles and polygons correctly placed in the chart?
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MAP - Level Ladders
~ Geometric reasoning
Group work
Written explanations
Oral explanations
Physical resources
Extended tasks:
~ Squares on dotty paper
~ Angles in polygons
Whole unit can be planned from the KS3 GR unit plan
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