| Level 7 Pack 2 Content/Teacher Notes |
Level 7 Pack 2 Info
Pages 3/4. Area Revision.
Refreshing all the areas previously studied at level 6 ready for Volume
of Prism work later on.
Pages 5/6. Harder Area Revision.
More revision of areas. This time reverse questions. Areas are given and
missing dimensions have to be found.
Pages 7/8. More Areas 1.
Working on the mechanics of the calculations involved with area questions.
An important aspect that runs through the topic is rounding errors. Where
an answer is used to continue the calculation, the original value, not
the rounded answer should be substituted.
Pages 9/10. More Areas 2.
More area calculations. Rounding is central to the circle questions. In
some questions the answer given for the diameter is not exactly double
the radius due to rounding.
Pages 11/12. Compound Areas.
Questions become progressively more difficult.
Hints: To solve 26). extend the straight lines to form a quarter circle
and to solve 27). form a square and four 3/4 circles!
Pages 13/14. Shape Worded Questions.
A worksheet that draws together all the skills needed to solve worded
questions. Ideal for Intermediate GCSE revision.
Pages 15/16. Prisms 1.
Naming familiar solids. Faces, Edges and Vertices. Definition of prisms.
Finding volumes of a variety of shapes of prisms.
Pages 17/18. Prisms 2.
Volumes of prisms and surface areas. The curved surface area of a cylinder.
All the previous work put into context through worded questions. Dimensional
Units: looking at expressions and deciding whether it is a length, area,
volume or none of these.
Pages 19/20. Shape and Algebra.
Algebra questions using shape properties to form expressions and equations.
Algebra should be thoroughly revised before attempting this worksheet.
Pages 21/22. Investigations (Areas
and Volumes).
Investigations involving areas and volumes. The main theme throughout
is maximising areas and volumes. Notice that the third section of the
pig farmer and the start of the guttering question require identical skills.
The tower question is a numerical exercise, the generalisations are far
too complex for this level.
Pages 23/24. Compound Measures 1 (Speed).
Changing minutes in to fractions of hours and utilising these in Speed/Distance/Time
calculations. The units m.p.h., km/h and m/s are used in a series of worded
questions.
Pages 25/26. Compound Measures 2 (Speed).
As above, but where the unknown is not the subject of the formula.
Pages 27/28. Compound Measures 3 (Density).
Density calculations using the units g/cmand kg/m. Pressure calculations
using the units N/m and a brief visit to population density!
Pages 29/30. Distance/Time Graphs 1.
Taking readings from Distance/Time graphs, calculations involve fractions
of hours. Plotting Distance/Time graphs.
Pages 31/32. Distance/Time Graphs 2.
Plotting more advanced Distance/Time graphs. Interpreting velocity/time
graphs.
Pages 33/34. Grouped Data. Finding
Averages.
Finding the modal class interval, and estimate for the mean, and the class
interval where the median lies, from tables of data.
Pages 35/36. Frequency Polygons.
Plotting pairs of frequency polygons and commenting on the distributions
relative to each other.
Pages 37/38. Time Series and Moving
Averages.
Calculating and plotting moving averages. Using the moving average to
make estimates.
Pages 39/40. Interquartile Range and
Box Plots.
Finding the IQR from raw data. Drawing Box Plots and comparing two sets
of data through Box Plots.
Pages 41/42. Cumulative Frequency and
Interquartile Range.
Drawing cumulative frequency graphs and Box Plots. Calculating the IQR
and taking readings from cumulative frequency graphs.
Pages 43/44. Statistical Investigations.
Notes on Primary and Secondary data, sampling techniques and bias.
Page 45. GCSE Statistical Investigations.
Notes on breaking down the Statistical Investigation at GCSE level and
four investigations that could be attempted.
Level 7 Pack 3 Info