# National 5 Applications of Mathematics

This course is spread across three units :

Managing Finance and Statistics (F&S), Geometry & Measures (G&M) and Numeracy (Num)

An external SQA exam is sat at the end of the course.

# Managing Finance and Statistics (F&S)

F&S 1.1 : Analysing a situation involving finance and identifying a valid strategy.
F&S 1.2 : Using appropriate mathematical processes and/or calculations to determine a solution.
F&S 1.3 : Justifying a solution in relation to the context.

F&S 2.1 : Analysing a situation involving data and identifying a valid strategy.
F&S 2.2 : Representing data appropriately.
F&S 2.3 : Using statistics to interpret data, compare data and draw conclusions.

## Finance

Key subskills:
Analysing and interpreting factors affecting income.
Analysing a financial position using budget information.
Determining the best deal, given three pieces of information.
Converting between several currencies.
Investigating the impact of interest rates on savings and borrowing. .

F&S 1.1 Analysing a situation involving finance and identifying a valid strategy. F&S 1.2 Using appropriate mathematical processes and/or calculations to determine a solution. F&S 1.3 Justifying a solution in relation to the context.

## Statistics

Key subskills:
Using a combination of statistics to investigate risk and its impact on life.
Using a combination of statistical information presented in different diagrams.
Using statistics to analyse and compare data sets.
Drawing a line of best fit from given data.

F&S 2.1 Analysing a situation involving data and identifying a valid strategy. F&S 2.2 Representing data appropriately. F&S 2.3 Using statistics to interpret data, compare data and draw conclusions. Num 2.1 Extracting and interpretation data from at least three different straightforward graphical forms. Num 2.2 Making and explaining decisions based on the interpretation of data. Num 2.3 Making and explaining decisions based on probability.

# Geometry & Measures (G&M)

G&M 1.1 : Analysing a situation involving measurement and identifying an appropriate strategy.
G&M 1.2 : Using appropriate mathematical processes and/or calculations to determine a solution.
G&M 1.3 : Justifying a solution in relation to the context.

G&M 2.1 :Analysing a situation involving geometry and identifying a valid strategy.
G&M 2.2 : Using appropriate mathematical processes and/or calculations to determine a solution.
G&M 2.3 : Justifying a solution in relation to the context.

## Geometry

Key subskills:
Solving a problem involving a composite shape which includes part of a circle.
Solving a problem involving the volume of a composite solid.
Using Pythagoras’ theorem within a two-stage calculation.

G&M 2.1 Analysing a situation involving geometry and identifying a valid strategy. G&M 2.2 Using appropriate mathematical processes and/or calculations to determine a solution. G&M 2.3 Justifying a solution in relation to the context.

## Measures

Key subskills:
Calculating a quantity based on two related pieces of information.
Constructing a scale drawing, including choosing a scale.
Carrying out efficient container packing.
Using precedence tables to plan tasks.
Solving a problem involving time management.
Considering the effects of tolerance.

G&M 1.1 Analysing a situation involving measurement and identifying an appropriate strategy. G&M 1.2 Using appropriate mathematical processes and/or calculations to determine a solution. G&M 1.3 Justifying a solution in relation to the context.

# Numeracy (Num)

Num 1.1 : Selecting and using appropriate numerical notation and units.
Num 1.2: Selecting and carrying out calculations.
Num 1.3 : Reading measurements using a straightforward scale on an instrument.
Num 1.4 : Interpreting the measurements and the results of calculations to make decisions.
Num 1.5 :Justifying decisions using the results of measurements or calculations.

Num 2.1: Extracting and interpretation data from at least three different graphical forms.
Num 2.2 :Making and justifying decisions using evidence from the interpretation of data.
Num 2.3 : Making and justifying decisions based on probability.

## Calculations and Rounding

Key subskills:
Add and subtract whole numbers including negative numbers.
Multiply whole numbers of any size, with up to four-digit whole numbers.
Divide whole numbers of any size, by a single digit whole number or by 10 or 100.
Round answers to the nearest significant figure or two decimal places .
Use appropriate checking methods, eg check sums and estimation.
Interpret results of measurements involving time, length, weight, volume and temperature.
Give reasons for decisions based on the results of measurements or calculations.

Num 1.1 Selecting and using appropriate numerical notation and units.Num 1.2 Selecting and carrying out calculations.Num 1.4 Interpreting the measurements and the results of calculations to make decisions.Num 1.5 Explaining decisions based on the results of measurements or calculations.

## Fractions, Percentages, Ratio

Key subskills:
Find simple percentages and fractions of shapes and quantities.
Calculate percentage increase and decrease.
Convert equivalences between common fractions, decimal fractions and percentages.
Calculate rate: eg miles per hour or number of texts per month.
Calculate ratio and direct proportion.
Give reasons for decisions based on the results of measurements or calculations.

Num 1.1 Selecting and using appropriate numerical notation and units.Num 1.2 Selecting and carrying out calculations.Num 1.4 Interpreting the measurements and the results of calculations to make decisions.Num 1.5 Explaining decisions based on the results of measurements or calculations.

## Distance, Speed and Time

Key subskills:

Calculate distance given speed and time.
Calculate time intervals using the 12- and 24-hour clock.

Num 1.1 Selecting and using appropriate numerical notation and units.Num 1.2 Selecting and carrying out calculations.Num 1.4 Interpreting the measurements and the results of calculations to make decisions.Num 1.5 Explaining decisions based on the results of measurements or calculations.

## Measurements, Perimeter, Area and Volume

Key subskills:
Use measuring instruments with straightforward scales to measure length, weight, volume and temperature.
Read scales to the nearest marked, unnumbered division with a functional degree of accuracy.
Calculate volume (cube and cuboid), area (rectangle and square) and perimeter (shapes with straight lines).
Recognise the inter-relationship between units in the same family, eg mm→cm, cm→m, g→kg, and ml→l
Use vocabulary associated with measurement to make comparisons for length, weight, volume and temperature.
Give reasons for decisions based on the results of measurements or calculations.

Num 1.1 Selecting and using appropriate numerical notation and units.Num 1.2 Selecting and carrying out calculations.Num 1.3 Reading measurements using a straightforward scale on an instrument..Num 1.4 Interpreting the measurements and the results of calculations to make decisions.Num 1.5 Explaining decisions based on the results of measurements or calculations.

# Books

### Printed resources available at Amazon

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