Y9 - Ma3

Home Schemes of work Key Stage 3 Key Stage 4 Post 16

YEAR 9 : shape, space and measures

The content for this section is sub-divided into the following areas:

Geometrical reasoning	Transformations	Co-ordinates
Construction	Measures and mensuration

Geometrical reasoning: lines angles and shapes Top

Y7 Objectives	Y8 Objectives	Y9 Objectives	Resources
Use correct vocabulary and labelling conventions	Identify alternate angles and corresponding angles	Distinguish conventions, facts, definitions and derivations Distinguish between practical demonstration and proof
Identify parallel and perpendicular lines
Know the sum of angles in a triangle Know the sum of angles at a point Know the sum of angles on a straight line	Understand a proof that angles in triangle add up to 180º Understand proof that angles in quadrilaterals add to 360º proof that ext. angle of triangle = sum of opp. int. angles
Recognise vertically opposite angles		Find interior and exterior angles of 4 to 6 sided shapes Find interior and exterior angles of regular polygons
Begin to use properties of shapes to solve problems	Know and use properties of shapes to solve problems Know/use properties of cuboids and composite shapes	Solve problems using various shape properties	L Shape dominoes H Rules for angles
		Understand and apply Pythagoras' theorem
	Know properties of congruent shapes	Understand congruence Apply SSS, SAS, ASA, RHS for congruence in triangles
		Know conditions for similarity
		Know definition of circle and name its parts
		Know regular polygons can be constructed from circles
		Know the relationship between tangents and radii
		Explain why perpendicular from centre to a chord bisects it
Use 2-D representations to visualise 3-D shapes	Begin to use plans and elevations	Recognise/use common 2-D represenations of 3-D objects	O O isometric grids W Nets O W opening box 'flick' W rolling box 'flick' O ideas for more 'flicks'
		Analyse 3-D shapes through 2-D projections

Transformations Top

Y7 Objectives	Y8 Objectives	Y9 Objectives	Resources
Understand the language and notation of transformations	Transform 2-D shapes by combinations of transformations	Transform 2-D shapes by combinations of transformations	S Bathroom tiles (BBC Maths file)
Reflection in given mirror lines
Line and rotational symmetry	Identify all the symmetries of 2-D shapes	Identify reflection symmetry in 3-D shapes	O squared paper grid L Mirror match L Using a mirror
Translation
Rotation about a given point
Explore transformation and symmetries using ICT	Understand/use the language and notation of enlargement Enlarge 2-D shapes, given centre and +ve scale factor Explore enlargements using ICT	Enlarge 2-D shapes, given centre and +ve scale factor Enlarge 2-D shapes, given fractional scale factor Identify scale factor of an enlargement	S Bathroom tiles (BBC Maths file)
		Know which transformations preserve length and angle Implications of enlargement for perimeter, area and volume
	Make simple scale drawings	Use and interpret maps and scale drawings

Co-ordinates Top

Y7 Objectives	Y8 Objectives	Y9 Objectives	Resources
Use convention and notation - all four quadrants			O W W co-ordinate grids
Find co-ordinates of points from geometric information	Given the co-ords of A and B, find the midpoint of AB	Given the co-ords of A and B, find the length of AB

Construction and loci Top

Y7 Objectives	Y8 Objectives	Y9 Objectives	Resources
Measure and draw lines to the nearest mm Measure and draw angles to the nearest degree (all types)	Construct the midpoint and perpendicular bisector Construct the bisector of an angle Construct the perpendicular from a point to a line Construct the perpendicular from a point on a line
Construct triangles (ASA or SSA)	Construct triangles (SSS)	Construct triangles (RHS) Know SSS, SAS, ASA, RHS constructions are unique
	Find simple loci to produce shapes and paths	Find the locus of an object moving according to a rule	O W LOGO
Construct nets of simple shapes using ruler and protractor
Explore constructions using ICT	Use ICT to explore constructions	Use ICT to explore constructions	O W LOGO
		Extend to more complex rules involving loci/constructions

Measures and mensuration Top

Y7 Objectives	Y8 Objectives	Y9 Objectives	Resources
Use names and abbreviations of units Estimate, calculate and solve problems in contexts	problems involving length problems involving area problems involving volume and capacity problems involving mass problems involving time	Problems involving a variety of contexts	L Estimating game L Units of length L Estimating area
Convert one metric unit to another	Know rough metric equivalents of imperial measures	Convert between area measures Convert between volume measures	S animal weigh in (BBC Maths file)
Read and interpret scales on a range of equipment
		Recognise that measurement is approximate
Distinguish between acute, obtuse and reflex angles Estimate the size of any angle	Use bearings to specify direction problems involving angles and bearings	Understand and use compound measures (e.g. speed)
Calculate perimeters of shapes made from rectangles		Deduce and use formula for the circumference of circles
Calculate areas of shapes made from rectangles	Deduce and use formula for the area of a triangle Deduce and use formula for the area of a parallelogram Deduce and use formula for the area of a trapezium Calculate areas of compound shapes	Deduce and use formula for the area of circles	N Circles notes W circles
		Solve problems involving constant rates of change
Calculate the surface area of cubes and cuboids		Calculate s.area and volumes of right prisms
	Know and use formula for the volume of a cuboid
	Calculate s.area and volumes of cuboids and composites	Calculate lengths, areas and volumes in right prisms Calculate lengths, areas and volumes in cylinders
		Begin to use trigonometry in 2-D