# 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 GM2-7GM2-3 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 GM3-6GM3-4 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 GM4-8GM4-5 create regular and semi-regular tessellations of the plane demonstrate why a given tessellation will cover the plane Fitness GM4-8GM4-2NA4-3 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 GM5-9GM5-4NA5-4 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 GM5-10NA5-4 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