Unit 12 Geometry and Measure

Intent

The intention of this unit is to consolidate knowledge from Key Stage 3 and to revise and refresh concepts that will underpin the End of Key Stage 3 Assessment and future Assessments in Key Stage 4.

We want all students to become keen problem solvers and agile mathematical reasoners. This unit in particular develops these skills with:

  • Multiple step angle reasoning problems

  • Formal deductive reasoning with angles

  • Multiple step Pythagoras' Theorem and trigonometry

  • Real- life area and volume question s

  • Loci and bearing problems

Implementation

For each strand in the unit students begin with lessons refreshing Year 7&8 knowledge before new concepts are introduced. At the end of each strand there are revision and mastery lessons to consolidate and ensure all students have picked up on new ideas.

From the 3rd week of the unit students will complete a weekly knowledge check so they can measure how their knowledge and expertise is building before the test.

During this unit there will be two longer written homework tasks which include a skills check as well as problem solving questions. Students will have an opportunity to follow-up and improve their work.

Impact

The impact of this unit of work will be measured through a 45 minute written assessment. The assessment will feature questions similar to the skills check and homework tasks. The assessment will cover every aspect of the unit of work and using the knowledge organiser together with this website is a great way to prepare for the test.

Topics covered in this unit:

Core

33s Calculate the perimeter of compound shapes

39s Calculate the area of a compound shape

35s Calculate the area of a parallelogram or a triangle

42s Calculate the area of a trapezium or a compound shape involving trapeziums

50s Calculating the area or circumference of a circle giving answers approximately or in terms of π

55s Calculating the area or perimeter of a semi-circle or quadrant or work with circular measure in context

36s Calculate the volume of shapes made from 1 cm cubes and cuboids

49s Calculate the volume of a prism or the surface area of a cuboid

57s Calculate the volume of a cylinder giving answers approximately or in terms of π

34s Converting between metric units (and to imperial given the conversion factor)

37s Reading timetables and using them to plan journeys

44s Solve speed-distance-time problems (including converting minutes to hours when necessary)

67s Solve density-mass-volume or pressure-force-area problems

32s Know and use the sum of angles in a triangle or quadrilateral to work out angles

41s Calculate angles using angle facts (including isosceles triangles) and provide full geometric arguments

53s Calculate angles using parallel lines (including reversing bearings) and provide full geometric arguments

45s Reading and using bearings

38s Using map scales and making a scale drawing

51s Use Pythagoras' theorem to find hypotenuse or short side or check if a triangle is right-angled

66s Solve problems requiring either multiple steps of Pythagoras or amending a diagram to locate a right-angled triangle

46s Work out the midpoint between two coordinates

20s Draw all the lines of symmetry on 2D shapes

48s Translate a shape by a vector on a coordinate grid and describe a translation

52s Reflect a shape on a coordinate grid and describe a reflection stating the equation of the mirror

54s Rotate a shape from a given centre on a coordinate grid and fully describe a rotation