Mathematics - Highers/Advanced Highers

Contact Details

St. Andrew's & St. Bride's High School
Platthorn Drive
East Kilbride
G74 1NL

Session 2017-2018 is the last academic year in which the Higher Mathematics course will consist of 3 units and an external exam. (The mandatory assessment of units will be removed the following year.)

Officially, the course currently consists of three units (called Relationships & Calculus, Expressions & Functions, and Applications) but we have chosen to rearrange this content to create four units. This allows us to cover the course in our preferred order, to shorten the assessments and lessen the time between each assessment. Our unit assessments will each consist of three operational “Assessment Standards” (blocks of content), which are broken into a few sub-skills, and some problem-solving questions (also classed as Assessment Standards). For more details, see “Course Outline” below.

**COURSE OUTLINE — New Higher Maths**

**Unit 1**

Applications 1.1: **Straight Line**

Relationships & Calculus 1.1: **Quadratics and Polynomials**

Relationships & Calculus 1.2: **Trigonometric Equations** (Part 1)

(plus some problem solving)

__Unit 2__

Relationships & Calculus 1.3: Calculus: **Differentiation**

Relationships & Calculus 1.4: Calculus: **Integration**

Applications 1.4: **Applying Calculus skills to Optimisation & Area**

(plus some problem solving)

**Unit 3**

Applications 1.3: **Recurrence Relations**

Expressions & Functions 1.3: **Applying algebraic and trigonometric skills to Functions**

Expressions & Functions 1.1: **Exponential & Logarithmic Functions**

(plus some problem solving)

**Unit 4**

Expressions & Functions 1.4: **Vectors**

Applications 1.2: **Circles**

Relationships & Calculus 1.2: **Trigonometric Equations** (Part 2)

Expressions & Functions 1.2: **Trigonometric Expansions/Identities and The Wave Function**

(plus some problem solving)

**Frequently Asked Questions**

**Q1. What is the recommended entry level?
Ans 1. **This course is intended for candidates who passed National 5 Maths in S4 or S5 (preferably with an ‘A’ or ‘B’ award if now in S6, but we will allow an S5 pupil with a 'C' pass to attempt the course, although it may effectively become a two-year course for many of them). The course is also available to candidates who failed Higher Maths last session, and to those who wish to try to upgrade their existing Higher Maths qualification.

Ans 4.

Ans 5

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Paper 1 will consist of non-calculator questions worth a total of 60 marks and lasts for 1 hour and 10 minutes.

Paper 2 will allow the use of calculators (but not calculators which can perform symbolic manipulation - i.e. algebra). It contains 70 marks and runs for 1 hour and 30 minutes.

Ans10

Candidates should give their best effort to all hand-in homework exercises. These are found on the departmental website (see back page). Pupils have a week to complete these tasks and should try the homework early in the week and seek the teacher’s help for questions that they find too difficult. Pupils should not miss out any questions or even parts of questions.

Completing all nightly homework tasks (from their textbook) and all hand-in exercises (homework sheets) on time is necessary, but not sufficient. Studying must be done over and above homework.

If pupils bring in a flash drive, they can be given a wealth of revision materials including past papers & solutions/marking schemes. If pupils work through these questions and ask for help, it will be of enormous benefit.

The department strongly advises pupils to use their own calculators daily so that they can learn how they work, as some work differently from others.

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A useful starting point is to recognise that each teacher’s notes will contain questions and answers (& rules/formulae). Encourage your son/daughter to cover up each answer and then try each question. Can it be done without having a look at the solution along the way? Even if the answer is correct, has the working been set out in the same manner as the original note? Each time the answer is “No”, ask for the technique to be studied again at home, then cover it up and try again.

No matter what level of Maths parents are familiar with, they can assist and make comment on areas such as presentation of work, look for questions in homework exercises that have been missed out (indicating possible problems) and encourage students to approach a member of the department for help.

Officially the course consists of three units called “Methods in Algebra & Calculus”, “Applications in Algebra & Calculus”, and “Geometry, Proof and Systems of Equations” but we have chosen to rearrange this content to create four units. This allows us to cover the course in our preferred order, to shorten the assessments and lessen the time between each assessment. For more details, see “Course Outline” below.

1.1

1.2/2.5

2.1/3.3

2.4

3.1

1.3/2.5

1.4

2.2

3.5

2.3

3.2

3.4

Q1. What is the recommended entry level?

Ans 1.

Ans 9.

Ans10