Transformation Units of Work

Level 1 Transformation

Achievement Objectives Learning Outcomes Unit title
GM1-5
  • identify lines of symmetry in objects
  • make patterns which have line symmetry
  • describe line symmetry in their own words
Pattern Matching
GM1-5
  • make patterns that involve translations, reflections, and rotations
  • identify translations, reflections, or rotations in patterns
Making Patterns

Level 2 Transformation

Achievement Objectives Learning Outcomes Unit title
GM2-7
  • make shapes with tessellations
  • investigate shapes that tessellate
  • make geometric patterns by translating, reflecting and rotating
In The Garden
GM2-7
GM2-3
  • explain in their own language what line symmetry is
  • describe the process of making shapes with line symmetry.
  • name common two-dimensional mathematical shapes
  • describe the differences between common two-dimensional mathematical shapes in relation to number of sides
Fold and Cut
GM2-7
  • fold paper systematically
  • cut shapes from folded paper
  • find number patterns derived from folding and cutting using a table
Fold and Cut 2
GM2-7
  • create simple tessellations involving squares and dominoes
  • identify the repeating element(s) in simple tessellations involving squares and dominoes
Tessellating Tiles

Level 3 Transformation

Achievement Objectives Learning Outcomes Unit title
GM3-6
GM3-4
  • find all the lines of reflection symmetry in a given shape
  • identify the order of rotational symmetry of a given shape (how many times it "maps" onto itself in a full turn)
  • create designs which have reflection symmetry
  • rotational symmetry (orders 2, 3, 4, 6) and translational symmetry
Logo Licenses
GM3-6
  • demonstrate why a given tessellation will cover the plane
  • create regular tessellations
Keeping In Shape

Level 4 Transformation

Achievement Objectives Learning Outcomes Unit title
GM4-8
  • alter polygons to create unique shapes that tessellate
  • describe the reflection or rotational symmetry of a shape or tessellation
Tessellating Art
GM4-8
GM4-5
  • create regular and semi-regular tessellations of the plane
  • demonstrate why a given tessellation will cover the plane
Fitness
GM4-8
GM4-2
NA4-3
  • follow instructions, in diagram form, to construct two-dimensional mathematical shapes, e.g. triangles, quadrilaterals, pentagons and hexagons
  • enlarge and reduce two-dimensional mathematical shapes by a given scale factor
  • identify invariant properties when enlarging and reducing two-dimensional mathematical shapes
  • convert between mm and cm measurement
  • multiply whole numbers by a decimal
Team Puzzles

Level 5 Transformation

Achievement Objectives Learning Outcomes Unit title
GM5-9
  • find the scale factors for length, area and volume
  • identify the centre point of an enlargement
  • place similar objects to show a negative enlargement
Russian Boxes
GM5-9
GM5-4
NA5-4
  • use scale factors to investigate areas being enlarged
  • use scale factors to investigate volumes being enlarged
  • solve real life context problems involving scale factors
Scale Factors for Areas and Volumes
GM5-10
NA5-4
  • measure the lengths of the sides of sets of similar right angled triangles and find the ratio of sides
  • investigate the relationship between these ratios and the angle size
  • use calculators or tables to find the sine, cosine and tangent of angles
Introducing Trigonometry
GM5-10
  • label right angle triangles with respect to a given angle.
  • use trigonometric ratios to calculate the length of opposite and adjacent sides in right angled triangles
  • use trigonometric ratios to calculate the size of angles in right angled triangles
Using Trigonometry
GM5-10
  • state and explain Pythagoras' theorem
  • use Pythagoras' theorem to find the unknown sides of right angled triangles
Pythagoras' Theorem
GM5-10
  • find lengths of objects using Pythagoras' Theorem
  • understand how similar triangles can be used to prove Pythagoras' Theorem
  • understand that Pythagoras' Theorem can be thought of in terms of areas on the sides of the triangle
Gougu Rule or Pythagoras' Theorem
GM5-10
  • describe and demonstrate how trigonometry can be used to find the height of a tall building or tree
  • describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where one cannot stand directly beneath the highest part
  • describe in broad terms how trigonometry might be used to find the distance between the earth and the moon
Trigonometric applications outside the classroom
GM5-10
  • measure lengths and angles accurately
  • find the height of objects using trigonometry
Dizzy Heights
GM5-10
  • use cos to solve problems involving right-angled triangles
  • solve equations of the form cos(θ) = a, for a between –180° and 360°
  • state the value of cos(θ) in special cases
  • graph y = cos(θ)
Investigating the Idea of Cos
GM5-10
  • use sin to solve problems involving right-angled triangles
  • solve equations of the form sin(θ) = a, for a between –180° and 360°
  • state the value of sin(θ) in special cases
  • graph y = sin(θ)
  • describe some of the ways in which the sine, cosine and tangent functions are related
Investigating the Idea of Sin
GM5-10
  • use tan to solve problems involving right-angled triangles
  • solve equations of the form tan(θ) = a, for a between –180° and 360° 
  • state the value of tan(θ) in special cases
  • graph y = tan(θ)
Investigating the Idea of Tan