Mathematics Applications (National 5)

1

Applying trigonometric skills to triangles which do not have a right angle

1.1

Calculating the area of a triangle using trigonometry

¨      

1.2

Using the sine and cosine rules to find a side or angle

¨       Sine rule for side or angle

¨       Cosine rule for side

Ø  Cosine rule for angle

1.3

Using bearings with trigonometry

¨       To find a distance or direction

CT

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2

Applying geometric skills to vectors

2.1

Working with 2D vectors

¨       Adding or subtracting two-dimensional

vectors using directed line segments

2.2

Working with 3D coordinates

¨       Determining coordinates of a point from

 a diagram representing a 3D object

2.3

Using vector components

¨       Adding or subtracting two- or three-dimensional

 vectors using components

¨       Magnitude of a vector

 

NQ Curriculum Support  Applying Geometric Skills to Vectors

NQ Curriculum Support  Air Traffic Control

NQ Curriculum Support  Vectors Treasure Hunt

3

Applying numerical skills linked to fractions and percentages

3.1

Working with percentages

¨       Use reverse percentages to calculate and original quantity

¨       Appreciation including compound interest

¨       Depreciation

3.2

Working with fractions

¨       Operations and combinations of operations on fractions

including mixed numbers

      (addition, subtraction, multiplication, division)

4

Applying statistical skills to analysing data

4.1

Comparing data sets using statistics

Compare data sets using calculated/determined:

¨       Interquartile range

¨       Standard deviation

4.2

Forming a linear model from a given set of data

¨       Determine the equation of a best fit straight line on

a scattergraph and use it to estimate given

5

Reasoning skills

5.1

Interpreting a situation where mathematics can be used and Identifying a valid strategy

5.2

Explaining a solution and/or relating it to context

CT

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