MillburnAcademy
Maths Department
S3/4
Level 4 to National 5
Course Summary
and Self Assessment
NAME CLASS .
This booklet lists the skills required for each topic covered in the Level 4 to National 5 course. You should also be competent with all of the skills covered in the S1/2 Level 3/4 course. The Course Summary and Self Assessment booklet for the S1/2 course is available on the school website
When you complete a topic in class you should tick the column with the faces to indicate how well you understand the work.
means I have a good understanding of this work.
means I can do this work but I am not confident with it.
means that I have struggled with this work.
The school website lists a brief summary of each topic and a list of websites that can be used for revision and practice.
At the end of each topic you will complete a formal homework exercise. This exercise assesses your understanding of the topic. You must give maximum effort to your homework and hand it in to your teacher on time.
A scientific calculator is an essential tool for the course. It is recommended that you buy a scientific calculatorso that you can use it for your classwork and homework. A mobile phone is not acceptable for use as a calculator.
BracketsI CAN / / /
Expand the following brackets:
a(bx + c)+ d(ex + f)
ax(bx + c)
(ax + b)(cx + d)
(ax + b)(cx2 + dx + e)
wherea, b, c, d, e andfare integers.
Square brackets.
Solve equation that include pairs of brackets.
Pythagoras Theorem
I CAN / / /
State Pythagoras Theorem.
Use Pythagoras Theorem to find the length of the hypotenuse in a right angled triangle.
Use Pythagoras Theorem to find the length of a shorter side in a right angled triangle.
Use Pythagoras Theorem in 3D diagrams.
Use the converse of Pythagoras Theorem to decide if a triangle contains a right angle.
Percentages
I CAN / / /
Solve problems involving appreciation and depreciation.
Solve compound interest problems.
Solve reverse percentages problems.
Algebra Review
I HAVE / / /
Revised all of the algebraic skills from the S1/2 course.
Factorisation
I CAN / / /
Factorise an expression by finding the highest common factor.
Factorise an expression by finding the difference between two squares.
Factorise a trinomial expression.
Complete a 2 step factorisation problem.
Scientific Notation
I / / /
Have revised scientific notation (standard form).
Can use a calculator to solve problems involving numbers expressed in scientific notation.
Arcs & Sectors
I CAN / / /
Find the length of an arc.
Find the area of a sector.
Find the angle in the sector when given the length of the arc or the area of the sector.
Solve problem involving arcs and sectors.
Fractions Review
I HAVE / / /
Revised all of the fraction skills from the S1/2 course.
Trigonometry - SOHCAHTOA
I CAN / / /
State the sine, cosine and tangent ratios.
Use the sine, cosine or tangent ratio to find an unknown side in a right angled triangle.
Use the sine, cosine or tangent ratio to find an unknown angle in a right angled triangle.
Solve problems using the sine, cosine or tangent ratio.
Changing the Subject of a Formula
I CAN / / /
Change the subject of a formula to a given variable.