Module 4  Proportion  
Teacher Guide  Lesson Resources  Lesson Plans  Exam Questions  Probing Questions 
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Video Tutorials, Exam Questions and Answers from Mr Barton Maths in the orange columns
F 
S4.3 
1 
Make sensible estimates of a range of measures in everyday settings. 




Everyday Units, Scales and Estimates 






F 
N5.3 
2 
Reduce a fraction to its simplest form by cancelling common fractions. Use the equivalence between fractions and order fractions and decimals. 




Equivalent Fractions 









Fractions to Decimals 









Comparing Fractions 









Ordering Fractions, Decimals and Percentages 





F 
N5.10 
3 
Solve simple ratio and proportion problems particularly in the context of recipes 




Ratio (Recipe Questions) 










Proportion Recipes 





F 
N5.11 
4 
Express one quantity as a fraction or percentage of another. 




One Number as a Percenage of Another 






F 
S5.2 
5 
Use and interpret maps and scale drawings 




Scale Drawing 









Map Scales 









Scale and Heights 






F 
S5.8 
6 
Use litres and millilitres, grams and Kg and convert measurements from one unit to another; interpret scales on a range of measuring instruments. Know rough metric equivalents of pounds, feet, miles, pints and gallons. 




Converting between Metric Units 









Imperial Measures 



F 
N6.1 
7 
Use ratio notation, including reduction to its simplest form; solve word problems involving ratio and proportion. Express a multiplicative relationship between two quantities as a ratio or a fraction. Write a ratio as a linear function. 




Ratio (Sharing Questions) 















Simple Proportion 





F 
N6.3 
8 
Understand equivalent fractions 




Simplifying Fractions 





F 
N6.4 
9 
Use the equivalence between fractions, decimals and percentages in context; solve simple percentage problems including finding a % of something as well as increasing and decreasing by a %. 




Percentages of Amounts 10%, 25%, 75% 





Percentages of Amounts eg 72% of 150 





Percentages of Amounts Using Links between Percentages and Fractions 1 





Percentages of Amounts Using Links between Percentages and Fractions 2 





Mixed Fractions Decimals and Percentages 







F 
D6.5 
10 
Construct and interpret pie charts 




Reading Pie Charts 






Drawing Pie Charts 



F 
N7.5 
11 
Calculate an unknown quantity from quantities that vary in direct proportion. Including Currency Conversions. Calculate Best Buys 




Best Buys and Value for Money 





Unitary Method 








Currency Exchange 


F 
N7.6 
12 
Use percentages to compare proportion; solve percentage problems involving increase and decrease including using a multiplier. 




Percentage Change Using Multipliers 








Compound Interest 









Depreciation 






F 
S7.7 
13 
Understand and use rates and compound measures, including speed, pressure and density. 




Converting Compound Measures 





Algebra with Compound Measures 






Speed 













Density 


H (New F) 
S8.2 
14 
Understand, recall and use trigonometrical relationships in rightangled triangles and use these to solve problems, including those involving bearings. Know the exact values of sin, cos and tan at key angles (0, 30, 45, 60, 90 degrees). 




Trig Missing Angles 









Trig Missing Sides 









Special Angles (0, 30, 45, 60 and 90 degrees) 









Trig Angles of Elevation 






H (New F) 
DA.4 
15 
Select a representative sample from a population using random and stratified sampling 




Different Methods of Sampling 






H (New F) 
AA.2 
16 
Form and use equations to solve word and other problems involving direct or Inverse proportion (for example, y ∞ x, y ∞ x², y ∞1/x, y ∞1/x²) including relating algebraic solutions to graphical representations of the equations. 




Direct Proportion 




Inverse Proportion 




Direct and Inverse Proportion 


H 
N8.2 
17 
Solve efficiently problems involving percentage increase and decrease; calculate the original amount when given the transformed amount after a percentage change. 




Reverse Percentages 





Percentage Change Using several Multipliers and reversing Process 



H 
S8.3 
18 
Understand similarity of triangles and other plane figures and use this to make geometrical inferences. Use the standard convention for labelling sides and angles of polygons. 




Similar Triangles 


H 
SB.3 
19 
Solve multistage Trigonometric problems 












H 
SA.4 
20 
Solve problems involving the lengths of arcs, areas of sectors 




Arcs and Sectors 





Arcs , Sectors and Segments 



