## National 4 COURSE OUTLINE CLICK HERE FOR A THE MADRAS COURSE DESCRIPTOR
UNIT 1
Expressions and Formulae
June - Nov
UNIT 2
Relationships
December - March

Expressions and Formulae 1.1

Expanding brackets in the form
5(a ± 2c) or 3(4x ± 2)
Simplifying Expressions in the form
a+4ba+6b
Evaluating an expression   4w+6t−3k
Factorising expressions
9c + 27,   6a – 8,    x2 -2x

Extending a straightforward number or diagrammatic pattern (1,3,5,7, . . .)    and determining its formula
Evaluate the determined formula for a given value

Calculate gradient -
Vertical distance
horizontal distance

Relationships 1.1
Solving Linear Equations
ax+b=c,   ax+b=cx +d
Solving Equations with brackets
a(x + b) = c
Solving Inequations

Draw a graph of y = mx +c
for chosen values of x
Recognise the equation of a straight line
y = mx +c  and know the meaning of  m and c
Recognise and use     y=a, x=b

Change the subject of the formulae:
G=x + a  to x
h = nto  n
E=3wk − 3  to w

Expressions and Formulae 1.2

Calculate circumference & area of a circle
Calculating the area of a parallelogram, kite & trapezium
Investigate the surface area of a prism
Calculate the volume of Cylinders and other prisms

Using rotational symmetry with straightforward linear shapes

Relationships 1.2
Using Pythagoras Theorem to calculate the hypotenuse and shorter sides if given measurements and coordinates

Enlarge/ reduce shapes given scale factor, including fractional scale factor
Scale Drawings

Combination of angle properties associated with:
- Intersecting and parallel lines
- Triangles and quadrilaterals

Circles: angles in a semi-circle
relationship between tangent and radius

Expressions and Formulae 1.3
Frequency tables from raw data

Calculate, use and understand Mean, median, mode & range

Pie charts – calculation of sector angles and drawing Pie Charts

Calculation of Probability and Interpret probability in the context of risk

Relationships 1.3
Tan, Sine and Cosine Ratio
Finding a side
Finding an angle

Using SohCahToa to choose the correct ratio

Relationships 1.4

Scatter graphs and Line of Best Fit

Expressions and Formulae Unit Assessment completed by end of November Relationship Unit Assessment completed by end of February, 1st week of March
Added Value Unit Assessment completed by end of Easter term

## COURSE NOTES

PUPIL INFORMATION EXPRESSIONS PUPIL INFORMATION NUMERACY PUPIL INFORMATION RELATIONSHIPS

REVISION MATERIALS