Intermediate 1 Course Aims

Intermediate 1

MATHEMATICS

AIMS

In fifth year, pupils have the opportunity to build up their battery of mathematical skills, and to strengthen their reasoning ability, from the basis of individual Standard Grade performance. All courses involve investigation skills which will be useful in an increasingly competitive work environment. Mathematical skills are essential to full understanding of scientific and technological courses. The Maths Department expects S5/6 pupils to show a mature and disciplined attitude towards their studies. Fundamental to this approach is timely completion of homework.

CONTENT

Intermediate 1 course consists of three Units. The content of each Unit is designed to follow a pupil’s level of achievement at Standard Grade.

 

Unit 1

  • Perform basic calculations.
  • Use basic geometric properties.
  • Evaluate expressions and formulae.
  • Perform calculations in everyday contexts.

 

Unit 2

  • Use Integers.
  • Use speed, distance and time.
  • Use the Theorem of Pythagoras.
  • Solve a problem in a right-angled triangle using the Theorem of Pythagoras.
  • Use simple graphs, charts and tables.
  • Use simple statistics.

 

Unit 3

  • Perform simple algebraic operations.
  • Use graphical relationships.
  • Use trigonometry in a right-angled triangle.
  • Use standard form (scientific notation).

 

Performance Criteria Summary Unit 1 Assessment (NAB)

 

Outcome 1

(a) Find a percentage of quantity.

(b) Round calculations to a given degree of accuracy.

(c) Solve simple problems on direct proportion.

 

Outcome 2

(a) Find the area of a simple composite shape.

(b) Find the volume of a cube and a cuboid.

(c) Find the area and the circumference of a circle.

 

Outcome 3

(a) Evaluate an expression.

(b) Evaluate a formula expressed in words.

(c) Evaluate a simple formula expressed in symbols.

 

Outcome 4

(a) Carry out calculations involving money in appropriate social contexts.

(b) Use a table of exchange rates to convert from pounds sterling to foreign currency.

 

Performance Criteria Summary Unit 2 Assessment (NAB)

 

Outcome 1

(a) Plot and read coordinates.

(b) Add and subtract positive and negative integers.

 

Outcome 2

(a) Interpret a distance-time graph.

(b) Solve problems involving speed, distance and time.

 

Outcome 3

Solve a problem in a right-angled triangle using the Theorem of Pythagoras.

 

Outcome 4

(a) Construct and interpret a frequency table and a stem-and-leaf diagram.

(b) Interpret a piechart.

(c) Construct a scattergraph, draw (by eye) a best-fitting straight line and use it to estimate.

 

Outcome 5

(a) Find the mean, median, mode and range from a data set.

(b) State the probability of a simple outcome.

 

Performance Criteria Summary Unit 3 Assessment (NAB)

 

Outcome 1

(a) Evaluate a formula expressed in symbols.

(b) Manipulate an algebraic expression involving brackets.

(c) Factorise an expression using a common factor.

(d) Solve simple linear equations.

(e) Solve simple inequalities.

 

Outcome 2

(a) Draw a straight line given its equation in the form y = ax + b by drawing up a table of values.

 

Outcome 3

(a) Solve right-angled triangles using trigonometry.

 

Outcome 4

(a) Interpret numbers expressed in standard form.

(b) Convert a large and a small number into standard form.

(c) Use standard form in a simple calculation.