National 5 Applications of Mathematics
Alphabetical Listing of Topics
Area & Volume Basic Statistics Box Plots Bills, Loans & Interest Calculations & Rounding Container Packing Foreign Exchange Fractions, Percentages, Ratio Gradients Income Line of Best Fit Navigation Other Statistics Probability Pythagoras Standard Deviation Statistical Diagrams Time ToleranceFinance
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.
Income
Bills and Loans
Foreign Exchange
Geometry
Key subskills
Investigating a situation involving gradient.
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
Gradients
Area & Volume
Pythagoras
Numeracy
Key subskills
Perform calculations including multiplication and division
Round answers to the nearest significant figure or two decimal places .
Interpret results of measurements involving time, length, weight, volume and temperature.
Find simple percentages and fractions of shapes and quantities.
Calculate rate: eg miles per hour or number of texts per month.
Calculate ratio and direct proportion.
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.
Calculations & Rounding
Fractions, Percentages, Ratio
Using measures
Statistics & Probability
Key subskills
Comparing data sets using statistics.
Forming a linear model from a given set of data.
Basic Statistics
Other Statistics
Statistical Diagrams
Best Fitting Line
Excel Aides
Probability
Course Overview
Finance
- MF 1.1 Analysing a financial position using budget information
- MF 1.2 Analysing and interpreting factors affecting income
- MF 1.3 Determining the best deal
- MF 1.4 Converting between several currencies
- MF 1.5 Investigating the impact of interest rates on savings and borrowing
Statistics
- S 2.1 Using a combination of statistics to investigate risk and its impact on life
- S 2.2 Using a combination of statistical information presented in different diagrams
- S 2.3 Using statistics to analyse and compare data sets
- S 2.4 Drawing a line of best fit from given data
Geometry
- GM 2.1 Investigating a situation involving gradient
- GM 2.2 Solving a problem involving a composite shape
- GM 2.3 Solving a problem involving the volume of a composite solid
- GM 2.4 Using Pythagoras’ theorem
- GM 2.5 Applying the properties of shapes to determine an angle involving at least two steps
Measurement
- GM 1.1 Calculating a quantity
- GM 1.2 Constructing a scale drawing, including choosing a scale
- GM 1.3 Planning a navigation course
- GM 1.4 Carrying out efficient container packing
- GM 1.5 Using precedence tables to plan tasks
- GM 1.6 Solving a problem involving time management
- GM 1.7 Considering the effects of tolerance
Numeracy
- N 1.1 Selecting and using appropriate numerical notation and units
- N 1.2 Selecting and carrying out calculations
- N 1.3 Recording measurements using a scale on an instrument
- N 1.4 Interpreting measurements and the results of calculations to make decisions
- N 1.5 Justifying decisions by using the results of measurements and calculations
Graphical Data & Probability
- N 2.1 Extracting and interpreting data from different graphical forms
- N 2.2 Making and justifying decisions using evidence from the interpretation of data
- N 2.3 Making and justifying decisions based on probability
© Alexander Forrest