Maths · Topic 1: Year 10
Transformations and constructions
3D solids and their plans and elevations, reflections, rotations, enlargements and translations, scale drawings and bearings, ruler-and-compass constructions and loci.
Lessons
Ticks are remembered on this device only.
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1
3D solids
Name and describe 3D solids by their faces, edges and vertices, and draw and read plans and elevations.
6 terms -
2
Reflection and rotation
Reflect shapes in mirror lines and rotate them about a centre, and describe reflections and rotations fully.
6 terms -
3
Enlargement
Enlarge shapes by a scale factor from a centre, including fractional scale factors, describe enlargements, and at Higher tier use negative scale factors and…
6 terms -
4
Translations and combinations of different transformations
Translate shapes using column vectors, describe translations, and combine transformations to find a single equivalent transformation.
6 terms -
5
Scale drawings and bearings
Use map and drawing scales, measure and write three-figure bearings, find back bearings, and solve journey problems.
6 terms -
6
Constructions 1
Construct triangles from their sides or from angles and sides, and construct the perpendicular bisector of a line, using compasses and a straight edge.
6 terms -
7
Constructions 2
Bisect an angle, drop a perpendicular from a point to a line, and construct angles of 90°, 60° and 30° using compasses.
6 terms -
8
Loci
Draw loci as sets of points that follow a rule, using circles, perpendicular bisectors and angle bisectors, and shade regions that satisfy several rules at…
6 terms
Downloads
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- 3D solids.pptx Built from the lesson script on 30 September 2026. View
- 3D solids - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- 3D solids - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Reflection and rotation.pptx Built from the lesson script on 30 September 2026. View
- Reflection and rotation - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Reflection and rotation - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Enlargement.pptx Built from the lesson script on 30 September 2026. View
- Enlargement - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Enlargement - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Translations and combinations of different transformations.pptx Built from the lesson script on 30 September 2026. View
- Translations and combinations of different transformations - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Translations and combinations of different transformations - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Scale drawings and bearings.pptx Built from the lesson script on 30 September 2026. View
- Scale drawings and bearings - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Scale drawings and bearings - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Constructions 1.pptx Built from the lesson script on 30 September 2026. View
- Constructions 1 - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Constructions 1 - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Constructions 2.pptx Built from the lesson script on 30 September 2026. View
- Constructions 2 - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Constructions 2 - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Loci.pptx Built from the lesson script on 30 September 2026. View
- Loci - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Loci - Exam Questions.docx Built from the lesson script on 30 September 2026. View
Key terms in this chapter
All 48, gathered from every lesson.
- Face
- A flat surface of a solid.
- Edge
- A line where two faces meet.
- Vertex
- A corner where edges meet (plural: vertices).
- Plan
- The view of a solid from above.
- Elevation
- The view of a solid from the front or side.
- Prism
- A solid with the same cross-section all the way through.
- Object
- The original shape before a transformation.
- Image
- The shape after a transformation.
- Congruent
- The same shape and size, possibly turned or flipped.
- Mirror line
- The line a shape is reflected in.
- Centre of rotation
- The fixed point a shape turns about.
- Clockwise
- The direction the hands of a clock move.
- Enlargement
- A transformation that changes the size of a shape by a scale factor.
- Scale factor
- The number every length is multiplied by.
- Centre of enlargement
- The fixed point the enlargement is measured from.
- Similar
- The same shape but a different size.
- Ray
- A straight line drawn from the centre through a vertex.
- Congruent
- The same shape and size.
- Translation
- A slide of every point by the same vector.
- Column vector
- A pair of numbers, one above the other, giving a move right and up.
- Combination
- Two or more transformations done one after the other.
- Single transformation
- One transformation that does the same job as a combination.
- Invariant point
- A point that does not move under a transformation.
- Image
- The shape after a transformation.
- Bearing
- An angle measured clockwise from north, written with three figures.
- Scale
- The ratio of a length on a drawing to the real length.
- Back bearing
- The bearing of A from B when you know the bearing of B from A.
- Clockwise
- The direction the hands of a clock turn.
- Three-figure bearing
- A bearing written with hundreds, tens and units, such as 045°.
- Compass point
- One of N, E, S, W and their combinations.
- Construct
- Draw accurately using only a ruler and compasses (a protractor when an angle is given).
- Compasses
- An instrument for drawing arcs and circles.
- Arc
- Part of the circumference of a circle.
- Bisect
- To cut exactly in half.
- Perpendicular bisector
- A line at \(90^\circ\) through the midpoint of a segment.
- Vertex
- A corner of a shape.
- Angle bisector
- A line that cuts an angle exactly in half.
- Perpendicular
- At \(90^\circ\) to a line.
- Arc
- Part of a circle's circumference.
- Equidistant
- The same distance from two things.
- Construction lines
- The arcs and lines you leave to show your method.
- Vertex
- The point where the arms of an angle meet.
- Locus
- A set of points that all obey a rule.
- Loci
- More than one locus.
- Equidistant
- The same distance from two points or lines.
- Region
- An area of the plane described by one or more rules.
- Perpendicular bisector
- The locus of points equidistant from two points.
- Angle bisector
- The locus of points equidistant from two lines.