YEAR 9 (ma3)

Geometrical reasoning

Transformations

Co-ordinates

Construction

Measures and mensuration

 

 

Geometrical reasoning: lines angles and shapes            Top

Y9 Objectives

Resources

Distinguish conventions, facts, definitions and derivations

Distinguish between practical demonstration and proof

P  P  z angles

P  angle rules

H  angle facts

P  H  estimating angles

P  angle loop animation

Find interior and exterior angles of 4 to 6 sided shapes

Find interior and exterior angles of regular polygons

 

Solve problems using various shape properties

L  Shape dominoes      

H  N  P  Rules for angles

P  shape envelope

P  W  W  Tesselations

Understand and apply Pythagoras' theorem

H  Pythagoras

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

 

Recognise/use common 2-D represenations of 3-D objects

P  O  O  isometric grids

H  cubes  

W  drawing 3D shapes on isometric paper

W  drawing 3D shapes problems

P  W  W  Nets

P  O  W  opening box 'flick'

W  rolling box 'flick'

O  ideas for more 'flicks'

W  elevations

Analyse 3-D shapes through 2-D projections

 

 

Transformations                                                                   Top

Y9 Objectives

Resources

Transform 2-D shapes by combinations of transformations

P  W  W  W  W  H  reflections

P  lines of symmetry

W  P  Rangoli patterns

W  rotating shapes

P  rotating about a point

P  reflections and rotations

Identify reflection symmetry in 3-D shapes

O  squared paper grid

L  Mirror match         

L  Using a mirror

P  planes of symmetry

P  W  rotational symmetry

W  repeating patterns

Enlarge 2-D shapes, given centre and +ve scale factor

Enlarge 2-D shapes, given fractional scale factor

Identify scale factor of an enlargement

W  W  enlarging shapes

P  enlargements

Know which transformations preserve length and angle

Implications of enlargement for perimeter, area and volume

 

Use and interpret maps and scale drawings

 

 

Co-ordinates                                                                       Top

Y9 Objectives

Resources

Given the co-ords of A and B, find the length of AB

O  W  W  W  W  co-ordinate grids

 

Construction and loci                                                       Top

Y9 Objectives

Resources

Construct triangles (RHS)

Know SSS, SAS, ASA, RHS constructions are unique

W spiral patterns blanks

P P Kenny

H Loci

Find the locus of an object moving according to a rule

O W  LOGO

 

Use ICT to explore constructions

O W  LOGO

Extend to more complex rules involving loci/constructions

 

 

Measures and mensuration                                               Top

Y9 Objectives

Resources

Problems involving a variety of contexts 

L  Estimating game      

L  Units of length

L  Estimating area

Convert between area measures

Convert between volume measures

W  W  Collect a letter

Recognise that measurement is approximate

 

Understand and use compound measures (e.g. speed)

P  Speed, distance, time graphs

Deduce and use formula for the circumference of circles

P  Circumference deduction

N  Circles notes

W circles

P  P  P  P  P  P  W  Area and perimeter

P  compound perimeter

Deduce and use formula for the area of circles

Solve problems involving constant rates of change

 

Calculate s.area and volumes of right prisms

W  W  cubes

H  volume

P  Volume

P  W  Prisms

Calculate lengths, areas and volumes in right prisms

Calculate lengths, areas and volumes in cylinders

 

Begin to use trigonometry in 2-D

P  investigating trigonometry