Support (from Y8 teaching programme)
Know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons)
Deduce and use formulae for the area of a triangle, parallelogram and trapezium; calculate areas of compound shapes made from rectangles and triangles.
Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids and shapes made from cuboids. |
Core (from Y9 teaching programme)
Know the definition of a circle and the names of its parts; explain why inscribed regular polygons can be constructed by equal divisions of a circle.
Know and use the formulae for the circumference and area of a circle
Calculate the surface area and volume of right prisms
Use units of measurement to calculate, estimate, measure and solve problems in a variety of contexts; convert between area measures (mm 2 to cm 2 , cm 2 to m 2 , and vice versa) and between volume measures (mm 3 to cm 3 , cm 3 to m 3 , and vice versa) |
Extension (from Y9 objectives for able pupils)
Recognise that measurements given to the nearest whole unit may be inaccurate by up to one half of the unit in either direction
Know and use the formulae for length of arcs and area of sectors of circles
Calculate lengths, areas and volumes in right prisms, including cylinders
Know that the tangent at any point on a circle is perpendicular to the radius at that point; explain why the perpendicular from the centre to the chord bisects the chord. |
ATM 40 Problems
~ p3 Tying cylinders together
~ p8 Rolling hoop
KS3 Interacting Y9 GR
~ Visualisations
WORCS
~ Visualisations
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CAME
~14 Circle relations
CORNWALL /Framework UAM
~ SSM1 ; SSM4
KS3 Framework
~ Circles problems (Supp P15)
~ Round table problem (Supp P31)
MAP
~ Centre circle (football pitch) / Compare diameter with circumference
~ Equable shapes - circles
~ 9 points on a circle
~ Inscribed shapes: Construct a square / equilateral triangle / hexagon inside a circle.
~ Make use of Pi Day' (14 th March) to have a bit of fun Pi recital championship? |
30 Calculator lessons for KS3
~ Lesson 22 Circle Area
BOTM
~ Y9 Circles
Cabri / JJackson
~ Line and a circle
~ Angles inside circles
~ Alternate segments
HORN, Cornwall
~ Circle vocabulary |
~ Spokes OHTs:
MAP
~ clock (30°);
~ compass rose (45°),
~ 90° spray |
What is pi?
How many decimal places of pi do you know?
How many decimal places of pi do you need?
Model incorrect solutions to problems what is wrong with this?
How can we construct a regular hexagon / square / equilateral triangle inside a circle?
Cherry pie is delicious, Apple pies are too'. What does this mean? [C = p d, A = p r 2 ]
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MAP - Level Ladders
~ Perimeter, Area, Volume
Problem solving
MAP
~ Inscribed shapes
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