Unit 2 Percentages and Units, Area & Volume
Intent
The intention of this unit is to secure and build upon knowledge from Key Stage 2 and to introduce new concepts that lay the foundations of key concepts that will underpin units in Year 8 and Year 9 such as
Working with fractions, decimals and percentages
Finding areas and volumes of basic shapes
We want all students to become keen problem solvers and agile mathematical reasoners. This unit in particular develops these skills with
Applying percentages to a real-world problems
Implementation
For each strand in the unit students begin with lessons refreshing primary 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*
9n Times table knowledge up to 10 and converting multiplication facts into division facts
22n Use a written method of division (no remainders)
10s Deciding which measuring instrument to use
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
22s Reading scales on measuring instruments and deciding appropriate metric units for a measurement
Core
14n Multiplying or dividing by 10, 100 or 1000
15n Find simple percentages of an amount like 50%, 25%, 10%, 5%, 1%
26n Finding any percentage of an amount by combining simple percentages
38n Converting between decimals and percentages (and to fractions)
51n Increase or decrease an amount by a percentage and calculate simple interest
65n Calculate compound interest using repeated percentage change
66n Writing a change as a percentage
27s Calculate the area and perimeter of a rectangle
35s Calculate the area of a parallelogram or a triangle
33s Calculate the perimeter of compound shapes
39s Calculate the area of a compound shape
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
44s Solve speed-distance-time problems (including converting minutes to hours when necessary)
67s Solve density-mass-volume or pressure-force-area problems
34s Converting between metric units (and to imperial given the conversion factor)
Plus / Plus+
70n Calculate compound interest using a percentage multiplier
71n Reverse percentage change using a multiplier (or otherwise)
64s Calculating the arc length or area of a sector
67s Solve density-mass-volume or pressure-force-area problems
68s Convert between compound measures and units of area and volume