Term+1

** SNP Stages 6-7 ** GM4-1 Use appropriate scales, devices and units for angle / GM 4-4 Interpret and use scales - Estimating angles - Using a protractor and reading the scale with accuracy (nearest degree) - Using the degree symbol to show the units e.g. Angle A measured 62° GM4-6 Relate three-dimensional models to two-dimensional representations, and vice versa - “The Castle” - “Castles on the Ground” GM4-7 Communicate and interpret locations and directions, using compass directions, distances and grid references ** NZC Level 5 ** ** SNP Stages 7-8 ** GM5-5 Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties - “Space Tiling with Captain Planet” - “Ruler and Compass Constructions” - “Angles, Parallel Lines and Polygons” - “Flip’s Flag” - “Vince’s Problem” - “Sol’s Serviettes” - GM5095 GM5-6 Create accurate nets for simple polyhedra and connect three-dimensional solids with different two-dimensional representations GM5-7 Construct and describe simple loci - Equidistant from a point (circle) - Equidistant from a line segment (“racetrack”) - Equidistant from two points (perpendicular bisector) - Parallel to a line - Equidistant from two intersecting lines (angle bisector) GM5-8 Interpret points and lines on coordinate planes, including scales and bearings on maps ** Vocabulary **
 * NZC Level 4 **
 * Use degrees as units for measuring angles, including:
 * Use practical angle measurements in the course of solving problems
 * SNP Book 9, “Angle Detector” p 22
 * Use key characteristics of 3D models (shape / relationship of faces; faces joining at edges or vertices) to create 2D drawings (isometric, plan views, nets)
 * Construct a model from given 2D drawings
 * Create nets for 3D solids by visualising the “unwrapping” or “unfolding” e.g. net for a hexagonal prism, cylinder
 * NZMaths – Geometry tab, “Building with Triangles”
 * NZMaths – Secondary SNP tab, “Curious Cubes
 * NZMaths – Problem Solving tab:
 * SNP Book 9, “Constructing Shapes using Triangles” p 19
 * Use the scale on a map to convert measurements to actual distances
 * Give or interpret the location of something on a map using grid references, distances and direction from a landmark (e.g. AA24 on a street map; 536 721 on a topographical map; 160m SE of the library; Latitude 12° S, 77° E on a world map; 2047 km SW of Los Angeles)
 * Act out instructions given by others using compass directions, distances and grid references by interpreting a scale map e.g. travel from New
 * NZMaths – Secondary SNP tab, “Number in Geometry”
 * NZMaths – Problem Solving tab, “Robots”
 * Develop the angle properties of intersecting and parallel lines and polygons
 * Connect at least two of these properties to find unknown angles in a given problem and communicate reasoning used, citing angle properties
 * NZMaths – Geometry tab
 * NZMaths – Problem Solving tab:
 * Assessment Resource Bank activities including:
 * SNP Book 9, “Investigating Polygons” p 26
 * Create nets with correct lengths and angles to form polyhedra e.g. net for a dodecahedron
 * Use imaging (no solid provided) to create an isometric drawing of a solid based on given plan views
 * Understand the idea of loci as a set of possible points and sketch and describe the path for a variety of practical situations e.g. a ball being bounced, stream of water from a fountain, point on a bicycle tyre as bike moves forward …
 * Construct simple loci using ruler and compass:
 * Use shading and solid / dashed lines to show features of loci (points less than 5 cm from A, points less than or equal to 5 cm from A, points exactly 5 cm from A, points more than 5 cm from A)
 * Construct accurate loci for given practical conditions e.g. a dog is tied by a 3m rope to a 4m section of fence
 * NZMaths - Geometry tab, “Ruler and Compass Constructions”
 * Use Cartesian axes to plot points and lines using all four quadrants
 * Give or interpret the location of something on a map using bearings and directions
 * Give directions for a trip route using bearings and directions (e.g. travel 4.5 km on bearing 052°, then 1 km on bearing 126° …)
 * Follow instructions given by others in terms of distances and bearings to act out a trip on a scale map e.g. sailing from Auckland to Tauranga
 * Use appropriate scales and measurements to create a map or scale drawing
 * Angle, types of angles (adjacent, corresponding, co-interior), area, axis of symmetry, base, circumference, complement, coordinate, cuboid, diameter, enlargement, equilateral triangle, isosceles triangle, kite, line symmetry, obtuse angle, order of symmetry, ordered pair, quadrilateral, radius, reflection, rhombus, reflex angle, revolution, rhombus, right angle, rotation, rotational symmetry, scale factor, scalene triangle, straight angle, supplementary angles, translation, trapezium, triangle, vertically opposite angles