Module 4  Proportion  
Teacher Guide  Lesson Resources TES Picks 1 Picks 2  Lesson Plans  Exam Questions  Probing Questions 
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Module  Grade  Topic 
Description 

4 
2 
1 
Make sensible estimates of a range of measures in everyday settings. 




Everyday Units, Scales and Estimates 





4 
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 




4 
3 
3 
Solve simple ratio and proportion problems particularly in the context of recipes 




Ratio (Recipe Questions) 









Proportion Recipes 




4 
3 
4 
Express one quantity as a fraction or percentage of another. 




One Number as a Percenage of Another 





4 
3 
5 
Use and interpret maps and scale drawings 




Scale Drawing 








Map Scales 








Scale and Heights 





4 
3 
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 


4 
4 
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 




4 
4 
8 
Understand equivalent fractions 




Simplifying Fractions 




4 
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 






4 
4 
10 
Construct and interpret pie charts 




Reading Pie Charts 





Drawing Pie Charts 


4 
4 
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 

4 
5 
12 
Use percentages to compare proportion; solve percentage problems involving increase and decrease including using a multiplier. 




Percentage Change Using Multipliers 







Compound Interest 








Depreciation 





4 
5 
13 
Understand and use rates and compound measures, including speed, pressure and density. 




Converting Compound Measures 




Algebra with Compound Measures 





Speed 











Density 

2 
5 
14 
Solve efficiently problems involving percentage increase and decrease; calculate the original amount when given the transformed amount after a percentage change. Solve problems involving repeated proportional or percentage changes, including compound interest; represent repeated proportional change using a multiplier raised to a power. 




Reverse Percentages 




Percentage Change Using several Multipliers and reversing Process 





Compound Interest 





Depreciation 


4 
5 
15 
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 





4 
5 
16 
Select a representative sample from a population using random and stratified sampling 




Different Methods of Sampling 





4 
5 
17 
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 

4 
5 
18 
Solve problems involving the lengths of arcs, areas of sectors 




Arcs and Sectors 




Arcs , Sectors and Segments 




4 
7 
19 
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 

4 
7 
20 
Solve multistage Trigonometric problems 










