2D Space

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#### Level contents

- * Assessment for the whole of Level 6
- ** Assessment test answers
- *** Assessment test records
- 6:01 Identifying angle types
- Classifying angles, completing a table of angle sizes, identifying angles made by intersecting lines, identifying angles within shapes, and on a clock face.
- 6:01C Types of angles
- Classifying angles, identifying angles within regular and irregular shapes and patterns, identifying angles on a map route.
- 6:02 Missing arms of angles
- Identifying the missing arm(s) in an angle of opening, rising or leaning, an angle of turning or rotation, and a rebound path. Naming the angles made. Clockfaces, doorway, Tower of Pisa, road intersection, spinner pointer, ball games.
- 6:02C Angles with missing arms
- Identifying the missing arm(s) in an angle of opening, an angle of turning or rotation, and a rebound path. Naming the angles made. Clockfaces, everyday objects and actions, ball games. Point of impact. Size of angles.
- 6:03 Parts of a circle
- Identifying features of a circle: arc, centre, quadrant, sector, diameter, circumference. Measuring radius and diameter. Using evenly-spaced markings on the circumference to draw polygons.
- 6:04 Identifying 2D shapes
- Instructions for using set squares to draw 2D shapes. Identifying and drawing polygons from descriptions of properties eg. side length and number, type of angles, parallel sides. Ruler, set square, protractor.
- 6:04E Drawing 2D shapes
- Extension page: Identifying angle sizes on different set squares. Using a set square and ruler to draw 2D shapes to specifications.
- 6:05 Comparing quadrilaterals
- Classifying 2D shapes according to their properties. Square, rectangle, parallelogram, rhombus. Drawing the diagonals and axes of symmetry on each shape.
- 6:05PT Progress test
- Test of 2D Space
- 6:06 Measuring and drawing angles
- Exercises for measuring and drawing angles and identifying the angle type. Using a rule, protractor or set square to draw a triangle given two angles sizes and calculating/ measuring the third angle using angle sum or protractor.
- 6:07 Drawing 2D shapes
- Using a ruler, set square or protractor to draw and identify quadrilaterals and other polygons from descriptions of properties. Following instructions to draw a mystery shape on dot paper.
- 6:07C Drawing 2D shapes
- Drawing and identifying an irregular polygon and classifying its angles. Using a ruler, set square or protractor to draw regular polygons to specifications. Classifying triangles.
- 6:07E Constructing triangles
- Instructions for using a pair of compasses to draw a triangle to given side-length specifications. Constructing triangles and copying a picture composed of triangles. Arc, intersection.
- 6:08 Triangles
- Classifying triangles according to their properties. Reflecting, translating and rotating triangles. Cutting shapes on diagonals to create different triangle types. Drawing triangles on tessellations.
- 6:08E Identifying triangles
- Extension page: Measuring side lengths and angles to identify triangle types. Constructing triangles to specifications. Drawing triangles on dot paper and inside a circle.
- 6:09 Calculating size of angles
- Calculating the size of missing angles in quadrilaterals and triangles using their angle sums. Identifying triangles with equal sides from given angles. Composite figure. Shapes with no angles.
- 6:10 Circle designs
- Instructions and practice exercises for drawing a circle using a pair of compasses. Features of a circle. Exploring circle designs within circles.
- 6:10PT Progress test
- Test of 2D Space
- 6:11 Measuring reflex angles
- Instructions and practice exercises for measuring reflex angles by measuring the corresponding acute/ obtuse angle first and subtracting from 360 degrees. Circular protractors.
- 6:12 Constructing reflex angles
- Instructions for constructing reflex angles by drawing the corresponding obtuse/ acute angle first. Drawing reflex angles. Recognising shapes containing reflex angles.
- 6:12C Constructing reflex angles
- Consolidation page: Constructing reflex angles by drawing the corresponding acute/ obtuse angle first. Drawing a shape containing a reflex angle.
- 6:13 Rotational symmetry
- Exploring rotational symmetry. Rule for rotational symmetry. Full turn and parts of a turn, matching, tracing, order. Identifying shapes and objects with rotational symmetry and finding order of rotational symmetry.
- 6:13E Rotational symmetry
- Extension page: Exploring rotational symmetry. Repeating patterns on a tile by rotating them. Identifying and drawing shapes with rotational symmetry. Order of rotational symmetry. Finding logos with rotational symmetry on the internet. One revolution.
- 6:14 Rotating objects and patterns
- Exploring rotational symmetry. Half turns, quarter turns, full turns. Rotating shapes ninety degrees around a central point to create a pattern. Identifying shapes with rotational symmetry. Order of rotational symmetry.
- 6:14C Rotating patterns
- Consolidation page: exploring rotational symmetry. Rotating shapes 90 degrees around a central point to create a pattern. Identifying patterns and everyday objects that have rotational symmetry. Order of rotational symmetry.
- 6:14PT Progress test
- Test of 2D Space
- 6:15 Shapes inside circles
- Identifying features of a circle including radius, diameter, circumference, arc, sector, quadrant, semicircle. Folding a circle to identify angles and features of a circle. Using a circle to construct polygons and to make patterns.
- 6:15C Circles
- Consolidation page. Identifying features of a circle. Using compasses to draw circles to certain specifications. Finding radius from diameter. Copying a circle pattern and colouring.
- 6:16 Enlarging and reducing
- Exploring the effect of using larger/ smaller grids to copy drawings. Scale and its relationship to changes in area.
- 6:16E Enlarging and reducing
- Extension page: Drawing grids to assist with enlargements and reductions of drawings. Using the size change tool on Google maps and Google earth.
- 6:17 2D space and area
- Problems involving rotational symmetry, scaling, and area. Maths fun for school holidays.
- 6:17PT Progress test
- Test of 2D Space
- 6:AC New Maths Builder Texts
- Placeholder
- 6:ACC Year 6 Cover
- Placeholder
- 6:MG00C Contents: Year 6 Maths Builder text
- Contents
- 6:MG00D Answers: 6:MG01-6:MG27
- The answers to the Year 6 Maths Builder text 6:MG01-6:MG27
- 6:MG00E Answers: 6:MG27C-6:MG56
- The answers to the Year 6 Maths Builder text 6:MG027C-6:MG56
- 6:MG21 Diagonals
- Draw all of the diagonals for each shape. Use the diagrams to complete the table, answering the following - What is the number of diagonals in the shape? Are the diagonals equal in length? Do the diagonals meet at right angles? Use the teaching box to answer - Are the diagonals of a rectangle equal in length/ perpendicular? Are the diagonals of a regular hexagon equal in length? Are the diagonals of all regular shapes equal in length? Which quadrilaterals have perpendicular diagonals? Use a ruler to complete the shape made by the diagonals, then name the shape.
- 6:MG22 Comparing quadrilaterals
- Classifying 2D shapes according to their properties. Square, rectangle, parallelogram, rhombus. Drawing the diagonals and axes of symmetry on each shape.
- 6:MG23 Parts of a circle
- Identifying features of a circle: arc, centre, quadrant, sector, diameter, circumference. Measuring radius and diameter. Using evenly-spaced markings on the circumference to draw polygons.
- 6:MG23C Parts of a circle
- Match the part of the circle shown in red to the correct label below.
- 6:MG24 Creating circles
- Using different methods to draw smooth circles: radii from a point, joining points on the circumference, freehand. Using a length of string attached to chalk to draw a circle on the ground. Using a pair of compasses to draw circles of differing radii. Instructions for using a pair of compasses.
- 6:MG24C Circle designs
- Instructions and practice exercises for drawing a circle using a pair of compasses. Features of a circle. Exploring circle designs within circles.
- 6:MG24S Shapes inside circles
- Identifying features of a circle including radius, diameter, circumference, arc, sector, quadrant, semicircle. Folding a circle to identify angles and features of a circle. Using a circle to construct polygons and to make patterns.
- 6:MG30 Combinations of transformations
- Translation, rotation, reflection
- 6:MG31 Combinations of transformations
- What two transformations have been used to change the shape?
- 6:MG39 Identifying angle types
- Classifying angles, completing a table of angle sizes, identifying angles made by intersecting lines, identifying angles within shapes, and on a clock face.
- 6:MG39C Estimating the size of angles
- Estimate the size of each angle by comparing it to right angles.
- 6:MG39S Missing arms of angles
- Identifying the missing arm(s) in an angle of opening, rising or leaning, an angle of turning or rotation, and a rebound path. Naming the angles made. Clockfaces, doorway, Tower of Pisa, road intersection, spinner pointer, ball games.
- 6:MG40 Investigating angles
- Measure the angles, using a protractor. Identify which angles are right, acute, obtuse. Acute/ obtuse angles are between what range of degrees?
- 6:MG40C Measuring reflex angles
- Instructions and practice exercises for measuring reflex angles by measuring the corresponding acute/ obtuse angle first and subtracting from 360 degrees. Circular protractors.
- 6:MG41 Angles forming a right angle
- Finding the value of the second angle in right angles.
- 6:MG42 Angles on a straight line
- Calculating angles on a straight line
- 6:MG43 Angles at a point
- Calculating angles at a point
- 6:MG44 Vertically opposite angles
- Vertically opposite angles are equal
- 6:MG45 Calculating the size of angles
- Calculating the size of angles forming a right angle, on a straight line, at a point and vertically opposite