National 5 Applications of Mathematics Free Notes

Scholar Check ListNat 5 Apps Past PapersSQA Nat5 Applications of Maths

The course is based on : Finance, Geometry, Graphical Data & Probability, Measurement, Numeracy, Statistics.
An external SQA exam is sat at the end of the course, with calculator and non-calculator papers.


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 Tolerance

Course Overview

Finance

  • Analysing a financial position using budget information
  • Analysing and interpreting factors affecting income
  • Determining the best deal
  • Converting between several currencies
  • Investigating the impact of interest rates on savings and borrowing

Statistics

  • 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

Geometry

  • Investigating a situation involving gradient
  • Solving a problem involving a composite shape
  • Solving a problem involving the volume of a composite solid
  • Using Pythagoras’ theorem
  • Applying the properties of shapes to determine an angle involving at least two steps

Measurement

  • Calculating a quantity
  • Constructing a scale drawing, including choosing a scale
  • Planning a navigation course
  • Carrying out efficient container packing
  • Using precedence tables to plan tasks
  • Solving a problem involving time management
  • Considering the effects of tolerance

Numeracy

  • Selecting and using appropriate numerical notation and units
  • Selecting and carrying out calculations
  • Recording measurements using a scale on an instrument
  • Interpreting measurements and the results of calculations to make decisions
  • Justifying decisions by using the results of measurements and calculations

Graphical Data & Probability

  • Extracting and interpreting data from different graphical forms
  • Making and justifying decisions using evidence from the interpretation of data
  • Making and justifying decisions based on probability



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.


  • 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, given three pieces of information
  • MF 1.4 Converting between several currencies
  • MF 1.5 Investigating the impact of interest rates on saving and borrowing

Older Learning Outcomes

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.

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.

  • GM 2.1 Investigating a situation involving gradient
  • GM 2.2 Solving a problem involving a composite shape which includes part of a circle
  • GM 2.3 Using Pythagoras' theorem within a two-stage calculationolving a problem involving the volume of a composite solid
  • GM 2.4 Investigating a situation involving gradient

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.

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.

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

Statistics & Probability


Key subskills
Comparing data sets using statistics.
Forming a linear model from a given set of data.

  • 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
  • N 2.1 Extracting and interpretation data from straightforward graphical forms
  • N 2.2 Making and explaining decisions based on the interpretation of data
  • N 2.3 Making and justifying decisions based on probability

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. .

Measurement



Key subskills
Constructing a scale drawing, including choosing a scale.
Planning a navigation course.
Carrying out efficient container packing.
Using precedence tables to plan tasks.
Solving a problem involving time management.
Considering the effects of tolerance.

  • GM 1.1 Calculating a quantity based on two related pieces of information
  • 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 a precedence table to plan tasks
  • GM 1.6 Solving a problem involving time management
  • GM 1.7 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.


Check List


Books

A selection of resources available at Amazon




© Alexander Forrest