National 4 Mathematics

Expressions and Formulae (E&F)

E&F 1.1: Applying algebraic skills to manipulating expressions and working with formulae.
E&F 1.2: Applying geometric skills to circumference, area and volume.
E&F 1.3: Applying statistical skills to representing and analysing data and to probability.
E&F 2.1: Interpreting a situation where mathematics can be used and identifying a strategy.
E&F 2.2: Explaining a solution and/or relating it to context.

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EF 1.1.1 Using the distributive law in an expression with a numerical common factor to produce a sum of terms
EF 1.1.2 Factorising a sum of terms with a numerical common factor
EF 1.1.3 Simplifying an expression which has more than one variable
EF 1.1.4 Evaluating an expression or a formulae which has more than one variable
EF 1.1.5 Extending a straightforward number or diagrammatic pattern and determining its formula
EF 1.1.6 Calculating the gradient of a straight line from horizontal and vertical distances

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EF 1.2.1 Calculating the circumference and area of a circle
EF 1.2.2 Calculating the area of a parallelogram, kite, trapezium
EF 1.2.3 Investigating the surface of a prism
EF 1.2.4 Calculating the volume of a prism
EF 1.2.5 Using rotational symmetry

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EF 1.3.1 Constructing a frequency table with class intervals from raw data
EF 1.3.2 Determining statistics of a data set
EF 1.3.3 Interpreting calculated statistics
EF 1.3.4 Representing raw data in a pie chart
EF 1.3.5 Using probability

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Relationships (Rel)

Rel 1.1: Applying algebraic skills to linear equations.
Rel 1.2: Applying geometric skills to sides and angles of shapes.
Rel 1.3: Applying trigonometric skills to right-angled triangles.
Rel 1.4: Applying statistical skills to representing data.
Rel 2.1: Interpreting a situation where mathematics can be used and identifying a strategy.
Rel 2.2: Explaining a solution and/or relating it to context.

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R 1.1.1 Drawing and recognising a graph of a linear equation
R 1.1.2 Solving linear equations
R 1.1.3 Changing the subject of a formula

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R 1.2.1 Using Pythagoras’ theorem
R 1.2.2 Using a fractional scale factor to enlarge or reduce a shape
R 1.2.3 Using parallel lines, symmetry and circle properties to calculate angles

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R 1.3.1 Calculating a side in a right-angled triangle
R 1.3.2 Calculating an angle in a right-angled triangle

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R 1.4.1 Constructing a scattergraph
R 1.4.2 Drawing and applying a best-fitting straight line

Numeracy (N )

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: Explaining decisions based on the results of measurements or calculations.
Num 2.1: Extracting and interpreting data from at least two 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.