2D Space

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#### Level contents

- * Assessment for the whole of Level 5
- ** Assessment test answers
- *** Assessment test records
- 5:01 Polygons
- From a group of shapes identify quadrilaterals, and polygons that have the following attributes - more than 4 sides, right-angles, all angles larger than a right-angle, 2 smaller and 2 larger angles, parallel sides and regular polygons. True or false attributes related to sides, angles, symmetry, rigidity, perimeter. Match a name to one of the shapes.
- 5:02 Angles
- Identify right angles and angles smaller/ larger than right angles. Order these angles from smallest to largest and in descending order. On each shape, mark the smallest angle and show any right angles with a small square. Draw the missing arm to show the angle in each picture.
- 5:03 Types of angles
- Identify the angles as acute, right angles, obtuse, straight, reflex, revolution. Use the key to mark the types of angle in each shape - right, acute, obtuse. Draw a real object that has each of these angles. Mark the two angles made at the centre by each cut in the diagrams shown. How many right angles in a straight angle/ straight angles in a revolution?
- 5:04 Measuring angles
- Compare angles using a right angle/ square corner. Cut a circle into pieces using the numbers on a clock as a guide. What type of angle is made at the centre point? How many small angles could cover a right-angle, a revolution, a straight angle, other labelled angles. Choose the trapezium that would fit into the space shown.
- 5:04C Types of angles
- Tear off the corner of a sheet of paper. Use this square corner (a right angle) to measure the angles. Draw an acute/ obtuse angle that is bigger/ smaller than the angle shown. Draw a shape that has an acute/ obtuse angle . Mark the obtuse/acute angle. If you stretch out your fingers on one hand, what angles do you make? Name 3 classroom items that have an acute angle . Identify the straight/ obtuse angles.
- 5:04PT Progress test
- Test of 2D Space
- 5:05 Lines
- Match lines to labels - broken, parallel, perpendicular, zig-zag, intersecting. Think about lines in everyday use. On the photo, trace an example of each type of line using the colours in the key. On the photo, mark a right angle (B), an acute angle (C) an obtuse angle (D). Draw an example of each line.
- 5:06 Measuring angles
- Measure the angle of each piece of coloured plastic using the protractor shown. Round off the size of the angles shown to the nearest 10 degrees. Find the mistake.
- 5:07 Measuring angles
- Use a protractor to measure the angle of each piece of pizza to the nearest 5 degrees. Use a protractor to measure the size of the angle of turn as shown.
- 5:08 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.
- 5:09 Turning and direction
- Referring to pictures, write the amount and the direction of each turn, anti/clockwise, right/left, stating degrees. Write the colour that the spinner would point to if it was spun in the direction by the degrees directed. Write the direction Sandra would face (North, South, East, West) if she turned in the direction and by the degrees given.
- 5:09E Turning
- Extension page. What colour would the spinner point to after it was spun a quarter-turn clockwise? etc. Complete the pattern made by the shape after it was turned and traced a half-turn clockwise, etc. Join the matching descriptions of a turn, full turn to 360 degrees, etc. Draw the arrow in red to show its new position after each directed turn.
- 5:10 Measuring angles
- Measure the angles, using a protractor. Identify which angles are right, acute, obtuse. Acute/ obtuse angles are between what range of degrees?
- 5:10PT Progress test
- Test of 2D Space
- 5:11 Drawing acute angles
- Read and follow the procedure for drawing an acute angle of 72 degrees. Draw angles to the given measurements. Within the circle, draw 4 angles sitting on the line. Write the size of each.
- 5:12 Constructing acute angles
- 5:12C Constructing angles
- Draw the angles to the given measurements. Turn your page to construct angles.
- 5:13 Types of triangles
- In each case name the type of triangle. Can you model each type of triangle using 12 paper clips for each? Identify the right, equilateral or scalene triangles and mark or colour as directed. Cut out a triangle. Mark its angles. Cut off the corners and place the three angles together. What type of angle do they make? What is the total size of the 3 angles? Try with each type of triangle.
- 5:13E Triangle types
- Extension page. Use a protractor to measure the missing angles. Name each type of triangle. Subtract the sum of the two angles from 180 degrees to find the third angle. Write in its size. Name the type of triangle. Measure the sides and angles of the triangles then match each triangle to a label - scalene, equilateral, isosceles, right-angled isosceles or right-angled scalene
- 5:14 Identifying triangles
- Match attributes - sides and angles - to triangle type - equilateral, isosceles or scalene triangle. Measure the length of the sides, and the angles, of each triangle and write the type of triangle. Find the third angle by subtracting the sum of the two given angles from 180 degrees. Why is an equilateral triangle also an isosceles triangle?
- 5:15 Measuring angles
- Measure and record the size of the angles in each shape. State the type of angles in squares and rectangles, and their sum. In a rhombus or in a parallelogram are the two acute/obtuse angles equal to one another? What do the two angles on one side of each shape add up to? What is the sum of the angles in a parallelogram or rhombus? Do the diagonals meet at right angles in a square, rhombus, parallelogram, rectangle? Record the size of the missing angles.
- 5:16 Constructing obtuse angles
- Read and follow procedure to draw an obtuse angle. Draw angles as directed using protractor. Draw a trapezium with angle measurements given.
- 5:16C Constructing shapes
- Show the axes of symmetry on each shape. Carefully draw each shape above by first drawing the lines of symmetry, then using a ruler to measure distances along each line of symmetry from the centre. Use a ruler and a protractor to draw shapes that have straight sides and the angles provided. Write the name of each shape below its drawing.
- 5:16PT Progress test
- Test of 2D Space
- 5:17 Parts of a circle
- What part of a circle am I? Use the yellow circle to measure radius/ diameter. Complete the sentences about diameter, radius and degree. A diameter is a line of symmetry. How many lines of symmetry has a circle? True or false circle facts - circumference, diameter, semi-circles, radius, centre, sector, radii, arc. Pair of compasses.
- 5:18 Enlargements and reductions
- Recognising pictures that are not enlargements or reductions of an original because dimension ratios have changed. Scale drawings: creating enlargements and reductions on grid paper. Rule for maintaining proportions when enlarging/reducing. Reducing a shape without grid paper by using a ruler and protractor.
- 5:18E Enlargements and reductions
- Scale drawings using grid paper or ruler and protractor or lines of perspective.
- 5:19 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.
- 5:20 Christmas shapes
- Recognising reflections, translations and rotations. Completing tessellations, matching angle types to angles in a picture, enlarging a picture on grid paper. Following instructions to colour regular and irregular shapes in a picture, using axis of symmetry to complete pictures, finding lines of symmetry.
- 5:20PT Progress test
- Test of 2D Space
- 5:AC New Maths Builder Texts
- Placeholder
- 5:ACC Year 5 Cover
- Placeholder
- 5:MG00C Contents: Year 5 Maths Builder text
- Contents
- 5:MG00D Answers: 5:MG01-5:MG15
- The answers to the Year 5 Maths Builder text 5:MG01-5:MG15
- 5:MG00E Answers: 5:MG16-5:MG39C
- The answers to the Year 5 Maths Builder text 5:MG16- 5:MG39C
- 5:MG00F Answers: 5:MG40-5:MG71
- The answers to the Year 5 Maths Builder text 5:MG40-5:MG71
- 5:MG11 Polygons
- From a group of shapes identify quadrilaterals, and polygons that have the following attributes - more than 4 sides, right-angles, all angles larger than a right-angle, 2 smaller and 2 larger angles, parallel sides and regular polygons. True or false attributes related to sides, angles, symmetry, rigidity, perimeter. Match a name to one of the shapes.
- 5:MG11C 2D shapes
- Recognising and comparing 2D shapes. Recording how many sides, angles, whether each shape is regular or irregular.
- 5:MG12 Lines
- Match lines to labels - broken, parallel, perpendicular, zig-zag, intersecting. Think about lines in everyday use. On the photo, trace an example of each type of line using the colours in the key. On the photo, mark a right angle (B), an acute angle (C) an obtuse angle (D). Draw an example of each line.
- 5:MG13 Angles
- Identify right angles and angles smaller/ larger than right angles. Order these angles from smallest to largest and in descending order. On each shape, mark the smallest angle and show any right angles with a small square. Draw the missing arm to show the angle in each picture.
- 5:MG14 Types of angles
- Identify the angles as acute, right angles, obtuse, straight, reflex, revolution. Use the key to mark the types of angle in each shape - right, acute, obtuse. Draw a real object that has each of these angles. Mark the two angles made at the centre by each cut in the diagrams shown. How many right angles in a straight angle/ straight angles in a revolution?
- 5:MG14C Types of angles
- Tear off the corner of a sheet of paper. Use this square corner (a right angle) to measure the angles. Draw an acute/ obtuse angle that is bigger/ smaller than the angle shown. Draw a shape that has an acute/ obtuse angle . Mark the obtuse/acute angle. If you stretch out your fingers on one hand, what angles do you make? Name 3 classroom items that have an acute angle . Identify the straight/ obtuse angles.
- 5:MG15 Using angles
- Compare angles using a right angle/ square corner. Cut a circle into pieces using the numbers on a clock as a guide. What type of angle is made at the centre point? How many small angles could cover a right-angle, a revolution, a straight angle, other labelled angles. Choose the trapezium that would fit into the space shown.
- 5:MG24 Measuring angles
- Measure the angle of each piece of coloured plastic using the protractor shown. Round off the size of the angles shown to the nearest 10 degrees. Find the mistake.
- 5:MG25 Measuring angles
- Use a protractor to measure the angle of each piece of pizza to the nearest 5 degrees. Use a protractor to measure the size of the angle of turn as shown.
- 5:MG26 Measuring angles
- Measure the angles, using a protractor. Identify which angles are right, acute, obtuse. Acute/ obtuse angles are between what range of degrees?
- 5:MG33 Drawing acute angles
- Read and follow the procedure for drawing an acute angle of 72 degrees. Draw angles to the given measurements. Within the circle, draw 4 angles sitting on the line. Write the size of each.
- 5:MG33C Constructing angles
- Draw the angles to the given measurements. Turn your page to construct angles.
- 5:MG34 Constructing acute angles
- 5:MG35 Constructing obtuse angles
- Read and follow procedure to draw an obtuse angle. Draw angles as directed using protractor. Draw a trapezium with angle measurements given.
- 5:MG35C Constructing shapes
- Show the axes of symmetry on each shape. Carefully draw each shape above by first drawing the lines of symmetry, then using a ruler to measure distances along each line of symmetry from the centre. Use a ruler and a protractor to draw shapes that have straight sides and the angles provided. Write the name of each shape below its drawing.
- 5:MG42 Types of triangles
- In each case name the type of triangle. Can you model each type of triangle using 12 paper clips for each? Identify the right, equilateral or scalene triangles and mark or colour as directed. Cut out a triangle. Mark its angles. Cut off the corners and place the three angles together. What type of angle do they make? What is the total size of the 3 angles? Try with each type of triangle.
- 5:MG42C Triangle types
- Extension page. Use a protractor to measure the missing angles. Name each type of triangle. Subtract the sum of the two angles from 180 degrees to find the third angle. Write in its size. Name the type of triangle. Measure the sides and angles of the triangles then match each triangle to a label - scalene, equilateral, isosceles, right-angled isosceles or right-angled scalene
- 5:MG43 Identifying triangles
- Match attributes - sides and angles - to triangle type - equilateral, isosceles or scalene triangle. Measure the length of the sides, and the angles, of each triangle and write the type of triangle. Find the third angle by subtracting the sum of the two given angles from 180 degrees. Why is an equilateral triangle also an isosceles triangle?
- 5:MG43C Triangle types
- Extension page. Use a protractor to measure the missing angles. Name each type of triangle. Subtract the sum of the two angles from 180 degrees to find the third angle. Write in its size. Name the type of triangle. Measure the sides and angles of the triangles then match each triangle to a label - scalene, equilateral, isosceles, right-angled isosceles or right-angled scalene
- 5:MG44 Properties of shapes
- Measure and record the size of the angles in each shape. State the type of angles in squares and rectangles, and their sum. In a rhombus or in a parallelogram are the two acute/obtuse angles equal to one another? What do the two angles on one side of each shape add up to? What is the sum of the angles in a parallelogram or rhombus? Do the diagonals meet at right angles in a square, rhombus, parallelogram, rectangle? Record the size of the missing angles.
- 5:MG58 Line symmetry
- Use a ruler to draw all of the lines of symmetry on each of these shapes
- 5:MG59 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.
- 5:MG59C 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.
- 5:MG60 Rotating 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.
- 5:MG60C 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.
- 5:MG61 Translation, reflection, rotation
- Translate (slide), reflect (flip) or rotate (turn) the shapes to match the label
- 5:MG61C 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.
- 5:MG62 Rotation of an object
- Referring to pictures, write the amount and the direction of each turn, anti/clockwise, right/left, stating degrees. Write the colour that the spinner would point to if it was spun in the direction by the degrees directed. Write the direction Sandra would face (North, South, East, West) if she turned in the direction and by the degrees given.
- 5:MG62C 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.
- 5:MG68 Enlargements and reductions
- Recognising pictures that are not enlargements or reductions of an original because dimension ratios have changed. Scale drawings: creating enlargements and reductions on grid paper. Rule for maintaining proportions when enlarging/reducing. Reducing a shape without grid paper by using a ruler and protractor.
- 5:MG68C Enlargements and reductions
- Scale drawings using grid paper or ruler and protractor or lines of perspective.
- 5:MG69 Enlargements and reductions
- Scale drawings: creating enlargements and reductions on grid paper. Rule for maintaining proportions when enlarging/reducing. Reducing a shape without grid paper by using a ruler and protractor.
- 5:MG69C Christmas shapes
- Recognising reflections, translations and rotations. Completing tessellations, matching angle types to angles in a picture, enlarging a picture on grid paper. Following instructions to colour regular and irregular shapes in a picture, using axis of symmetry to complete pictures, finding lines of symmetry.
- 5:MG70 Using a 360 degree protractor
- Measure the angle of each piece of coloured paper using a protractor. Estimate, then circle the angle that is larger. Measure the size of each angle.
- 5:MG71 Using a 360 degree protractor
- Drawing angles using a protractor.