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:
Star / Star*
23s Area and perimeter of shapes made from 1 cm²
27s Calculate the area and perimeter of a rectangle
10s Deciding which measuring instrument to use
22s Reading scales on measuring instruments and deciding appropriate metric units for a measurement
11s Reading the time from a clock or drawing where clock hands would be
21s Calculating lengths of time and converting between hours, minutes and seconds
26s Use the sum of angles at a point or on a line or vertically opposite to calculate angles
28s Measure and draw angles accurately (including obtuse and reflex angles)
15s Measuring lines accurately and understand and use the terms horizontal, vertical and diagonal
38s Using map scales and making a scale drawing
14s Plotting and reading coordinates in the first quadrant
25s Plotting and reading coordinates in all 4 quadrants
19s Reflect simple shapes in a mirror line or translate a shape on a grid
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
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
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
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
54s Rotate a shape from a given centre on a coordinate grid and fully describe a rotation
Plus / Plus+
64s Calculating the arc length or area of a sector
72s Use the volume or surface area formulae for cones and spheres
65s Calculate lengths in similar 2D shapes
77s Determine and use area or volume scale factors for similar 2D and 3D shapes
68s Convert between compound measures and units of area and volume
70s Know the proofs of angles sums in triangles or quadrilaterals
74s Recognising congruent triangles using SSS, SAS, ASA or RHS
62s Use SOH CAH TOA trigonometry to calculate sides of right-angled triangles
63s Use SOH CAH TOA trigonometry to calculate angles in right-angled triangles
73s Know the exact values for 0⁰, 30⁰, 45⁰, 60⁰, 90⁰ for sin, cos and tan
71s Solve problems requiring multiple steps of SOH CAH TOA trigonometry and/or Pythagoras