Mathematics Relationships (National 4)

 

1

Applying algebraic skills related to linear equations

1.1

Drawing and recognising a graph

of a linear equation

Draw using a table of values or chosen values of x

For y = mx +c, know the meaning of m and c

Recognise and use y = a, x = b

1.2

Solving linear equations

ax + b = c                     ax + b = cx + d

1.3

Changing the subject of a formula

Change the subject of the formulae to x:

G = x + a                       T = x/c             E = wx + k

 

2

Applying geometric skills related to sides and angles of shapes

2.1

Using Pythagoras’ theorem

given measurements      given co-ordinates

2.2

Using a fractional scale factor to

enlarge or  reduce a shape

Linear, non-rectangular shape

2.3

Using  parallel lines, symmetry and

 circle properties to calculate angles

Combination of angle properties associated with:

Intersecting and Parallel lines triangles and quadrilaterals

Circles :angle in a semi-circle

relationship between tangent and radius

 

3

Applying trigonometric skills related to right-angles triangles

3.1

Calculating a side in a right-angled triangle

Given a side and an angle

3.2

Calculating an angle in a right-angled triangle

Given two sides

CT

·         Presentation Pack of Golf Balls (geometry of circle and trig)

 

4

Applying statistical skills related to representing data

4.1

Constructing a scattergraph

(2.6 Managing Finance and Statistics)

Given a set of data

4.2

Drawing and applying a best-fitting straight line

(2.7 Managing Finance and Statistics)

The line should have roughly the same number

of data points on either side

Use the line of best fit to estimate one variable, given the other

 

NQ Curriculum Support  Finger and arm proportions

 

 

5

 Mathematical reasoning skills

5.1

Interpreting a situation where mathematics

can be used and Identifying a valid strategy

Can be attached to a skill of Outcome 1

to require analysis of a situation

5.2

Explaining a solution and relating it to context

Can be attached to a skill of Outcome 1

 to require explanation of the solution given