**MATHS**

**NATIONAL 4**

**Course Description**

This Course will develop the learner’s ability to:

- Understand and use straightforward mathematical concepts and relationships
- Select and apply straightforward operational skills in algebra, geometry, trigonometry and statistics within familiar mathematical contexts
- Select and apply straightforward skills in numeracy
- Use straightforward mathematical models
- Use mathematical reasoning skills to interpret information presented in straightforward ways, to select a strategy to solve a problem, and to communicate solutions.

There are three units within this award plus the Added Value Unit.

__Expressions and Formulae____ – __

L.O. 1

**Algebraic skills** — using the distributive law in an expression with a numerical common

factor to produce a sum of terms; factorising a sum of terms with a numerical common

factor; simplifying an expression which has more than one variable; evaluating an

expression or a formulae which has more than one variable; extending a straightforward

number or diagrammatic pattern and determining its formula; calculating the gradient of a

straight line from horizontal and vertical distances

**Geometric skills** — calculating the circumference and area of a circle; calculating the area

of a parallelogram, kite, trapezium; investigating the surface of a prism; calculating the

volume of a prism; using rotational symmetry

**Statistical skills** — constructing a frequency table with class intervals from raw data;

determining statistics of a data set; interpreting calculated statistics; representing raw data in

a pie chart; using probability.

L.O. 2 Evidence of Reasoning skills demonstrated through responses to L.O. 1

__ __

__Relationships____ __

L.O. 1

**Algebraic skills** — drawing and recognising a graph of a linear equation; solving linear

equations; changing the subject of a formula

**Geometric skills** — using Pythagoras’ theorem; using a fractional scale factor to enlarge or

reduce a shape; using parallel lines, symmetry and circle properties to calculate angles

**Trigonometric skills** — calculating a side in a right-angled triangle; calculating an angle in a

right-angled triangle

**Statistical skills** — constructing a scattergraph; drawing and applying a best-fitting straight

line

L.O. 2 Evidence of reasoning skills demonstrated through responses to L.O. 1

__Numeracy __

L.O. 1 Calculations involving: whole numbers, fractions, decimal

fractions, percentages, ratio and proportion. Collectively these calculations require

evidence of all of the following: addition, subtraction, multiplication and division

L.O.2 Interpretation of a table with at least four categories of information

a chart such as a pie chart where the values are given, or a bar chart where the scale is

obvious

a graph such as a line graph where the scale is obvious

a diagram such as a circuit, stem and leaf, or 2D plan

** Mathematics Test (National 4) - **This is the Added Value Unit of the National 4 Mathematics Course. The general aim of this Unit is to enable the learner to provide evidence of added value for the National 4 Mathematics Course through the successful completion of a test which will allow them to demonstrate breadth and challenge.

**The Work of the Course**

**In class**pupils discover, develop and practice ideas and examples from the course topics through various resources such as jotters, posters, show-me boards, group work, textbooks, IT.

**At home**there will be daily revision, practice of work covered in class and formal homework at fortnightly intervals (at least).

**Assessment **

Learning Outcomes from the units are internally assessed throughout the course and awarded on a pass/fail basis. For each unit, learners must show competence in two areas – operation skills and reasoning skills. The Value Added Unit is assessed at the end of the course by a non-calculator paper and a calculator paper. Unit passes can be award on an individual basis. A full course award requires a pass in the Value Added assessment.

** Possible Progression to **National 5 Lifeskills Maths.

Progression to National 5 Maths is not recommended in 1 year.