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

Lesson

Homework

 

 

 

 

 

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

Lesson

Homework

 

 

 

 

 

 

 

 

Fractions to Decimals

Lesson

Homework

 

 

 

 

 

 

 

 

Comparing Fractions

Lesson

Homework

 

 

 

 

 

 

 

 

Ordering Fractions, Decimals and Percentages

 

 

 

 

Video

Exam Q

Answers

F

N5.10

3

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

 

 

 

Ratio (Recipe Questions)

 

 

Video

 

 

 

 

 

 

 

Proportion Recipes

 

 

 

 

Video

Exam Q

Answers

F

N5.11

4

Express one quantity as a fraction or percentage of another.  

 

 

 

One Number as a Percenage of Another

Lesson

Homework

 

 

 

 

 

F

S5.2

5

Use and interpret maps and scale drawings

 

 

 

Scale Drawing

Lesson

Homework

 

 

 

 

 

 

 

 

Map Scales

Lesson

Homework

 

 

 

 

 

 

 

 

Scale and Heights

Lesson

Homework

 

 

 

 

 

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

Lesson

Homework

 

 

 

 

 

 

 

 

Imperial Measures

Lesson

Homework

 

 

Video

Exam Q

Answers

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)

Lesson 1

Homework 1

Video

 

Video

Ratio

Answers

 

 

 

 

Lesson 2

Homework 2

 

 

 

 

 

 

 

 

Simple Proportion

Lesson

Homework

Video

 

 

 

 

F

N6.3

8

Understand equivalent fractions

 

 

 

Simplifying Fractions

Lesson

Homework

Video

 

 

 

 

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%

Lesson

Homework

Video

 

Video

Exam Q

Answers

 

 

 

Percentages of Amounts eg 72% of 150

Lesson

Homework

 

 

 

 

Percentages of Amounts Using Links between Percentages and Fractions 1

Lesson

Homework

 

 

 

 

Percentages of Amounts Using Links between Percentages and Fractions 2

Lesson

Homework

 

 

 

 

Mixed Fractions Decimals and Percentages

 

 

Video

 

 

 

 

F

D6.5

10

Construct and interpret pie charts

 

 

 

Reading Pie Charts

Lesson

Homework

 

 

Video

Exam Q

Answers

 

 

 

Drawing Pie Charts

Lesson

Homework

 

 

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

Lesson

Homework

Video

 

Video

Exam Q

Answers

 

 

 

Unitary Method

Lesson

Homework

 

 

 

 

 

 

 

Currency Exchange

Lesson

Homework

 

Video

Exam Q

Answers

F

N7.6

12

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

 

 

 

Percentage Change Using Multipliers

Lesson

Homework

Video

 

 

 

 

 

 

 

Compound Interest

Lesson

Homework

 

 

 

 

 

 

 

 

Depreciation

Lesson

Homework

 

 

 

 

 

F

S7.7

13

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

 

 

 

Converting Compound Measures

Lesson

Homework

Video

 

Video

Exam Q

Answers

 

 

 

Algebra with Compound Measures

Lesson

Homework

 

 

 

 

 

Speed

Lesson

Homework

Video 1

 

 

 

 

 

 

 

Video 2

 

 

 

 

Density

Lesson

Homework

Video

 

H (New F)

S8.2

14

Understand, recall and use trigonometrical relationships in right-angled 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

Lesson

Homework

 

 

 

 

 

 

 

 

Trig Missing Sides

Lesson

Homework

 

 

 

 

 

 

 

 

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

Lesson

Homework

 

 

 

 

 

 

 

 

Trig Angles of Elevation

Lesson

Homework

 

 

 

 

 

H (New F)

DA.4

15

Select a representative sample from a population using random and stratified sampling

 

 

 

Different Methods of Sampling

Lesson

Homework

 

 

 

 

 

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 ∞ x, y ∞1/x, y ∞1/x) including relating algebraic solutions to graphical representations of the equations.

 

 

 

Direct Proportion

Lesson

Homework

Video 1

Video 2

Video

Exam Q

Answers

 

 

 

Inverse Proportion

Lesson

Homework

Video 1

 

 

 

Direct and Inverse Proportion

Lesson

Homework

 

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

Lesson

Homework

Video

 

Video

Exam Q

Answers

 

 

 

Percentage Change Using several Multipliers and reversing Process

Lesson

Homework

 

 

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

Lesson

Homework

Video

 

Video

Exam Q

Answers

H

SB.3

19

Solve multi-stage Trigonometric problems

 

 

 

 

 

 

 

 

 

 

 

H

SA.4

20

Solve problems involving the lengths of arcs, areas of sectors

 

 

 

Arcs and Sectors

Lesson

Homework

Video 1

 

Video

Exam Q

Answers

 

 

 

Arcs , Sectors and Segments

Lesson

Homework

Video 2