# Level 4 to National 5 Mathematics Course Summary

### National 5 Mathematics in a Nutshell

# Coursework

### The S3 course is shown in the tables below. By clicking on a topic link (in blue type) you open a PDF document or video tutorial. This gives a brief summary of the topic and a selection of interactive resources that can be used to consolidate the skills required for the topic.

## Term |
## Topics |
## Resources |

June |
Pairs of Brackets |
Pairs of Brackets Summary |

Pythagoras Theorem |
Pythagoras Theorem Summary | |

Pythagoras Theorem Support Notes | ||

Pythagoras Introduction | ||

Pythagoras -Repeated Use | ||

Pythagoras Finding the Distance Between 2 Points | ||

Pythagoras in Disguise | ||

Converse of Pythagoras |

## Term |
## Topics |
## Resources |

August – October |
Percentages |
Percentages Summary |

Percentages Support Notes | ||

Appreciation & Depreciation | ||

Compound Interest | ||

Percentage Profit & Percentage Loss | ||

Reverse Percentages | ||

PERCENTAGES PAST PAPER QUESTIONS ANSWERS | ||

Algebra Review |
Revision of: Collecting Terms, Substitution, Expaning Brackets, Factorisation and Equations | |

Factorisation |
Factorisation Summary | |

Brackets & Factorisation Support Notes | ||

Common Factor | ||

Difference of 2 Squares | ||

Trinomials | ||

Easy Trinomials | ||

EXPANDING BRACKETS & FACTORISATION PAST PAPER QUESTIONS ANSWERS | ||

Scientific Notation |
Scientific Notation Summary | |

Standard Form Support Notes | ||

Circle – Arcs & Sectors |
Arcs & Sectors Summary | |

Circles Support Notes | ||

Arc Length | ||

Sector Area | ||

Finding an Angle |

## Term |
## Topics |
## Resources |

October – December |
Fractions Revision |
Fractions Revision |

Converting Mixed Numbers & Top Heavy Fractions | ||

Pre-assessment Activity |
Practice assessment task. | |

Witch’s Hat Investigation |
Investigation. | |

Trigonometry – SOHCAHTOA |
Trigonomerty SOHCAHTOA Summary | |

SOHCAHTOA Support Notes | ||

SOHCAHTOA – Finding a Side | ||

SOHCAHTOA – Finding an Angle | ||

Changing the Subject of a Formula |
Changing the Subject of a Formula Summary | |

Change the Subject of a Formula Support Notes | ||

CHANGING THE SUBJECT OF A FORMULA PAST PAPER QUESTIONS ANSWERS | ||

December Assessment |
Assessment |

## Term |
## Topics |
## Resources |

January – March |
Arbelos Inverstigation |
Investigation |

Spread of Data |
Spread of Data Summary | |

Standard Deviation | ||

Five Figure Summary & Spread of Data | ||

Algebraic Fractions |
Algebraic Fractions Summary | |

Algebraic Fractions Support Notes | ||

Simplifying Algebraic Fractions | ||

Adding & Subtracting Algebraic Fractions | ||

ALGRBRAIC FRACTIONS PAST PAPER QUESTIONS ANSWERS | ||

Circles – Chords & Tangents |
Chords & Tangents Summary | |

Circles Support Notes | ||

Angles in Circles | ||

CHORDS PAST PAPER QUESTIONS ANSWERS | ||

Algebraic Patterns |
Extension Exercise Algebraic Patterns Worksheet | |

March Assessment |
Assessment |

## Term |
## Topics |
## Resources |

April-June |
Volume |
Volume of Solids Summary |

Volume Support Notes | ||

VOLUME PAST PAPER QUESTIONS ANSWERS | ||

Equation of a Line |
Equation of a Line Summary | |

Equation of a Line Support Notes | ||

Discovering y = mx + c | ||

Horizontal & Vertical Lines | ||

Using y-b=m(x-a) | ||

STRAIGHT LINE PAST PAPER QUESTIONS ANSWERS | ||

Similarity |
Similarity Summary | |

Similar Triangles | ||

Area of Similar Shapes | ||

Volume of Similar Shapes | ||

SIMILARITY PAST PAPER QUESTIONS ANSWERS | ||

Revision |
Revision for Assessment | |

N5 Unit 1 Assessment |
Assessment |

# Textbook Answers

### National 5 Texbook Answers Chapters 1 to 11

### National 5 Textbook Answers Chapters 12 to 24

### National 5 Textbook Answers Chapters 25 to 34

### National 5 Textbook Unit 1 Assessment Answers

### National 5 Textbook Unit 2 Assessment Answers

### National 5 Textbook Unit 3 Assessment Answers

# Course Summary & Self Assessment Booklet

### Pupils will be issued with a copy of this booklet in S1. They should use the booklet to self assess their understanding of each topic as they progress through the course. The booklet can also be used as a checklist to aid pupils in their preparation foe assessment.

### Course Summary & Self Assessment Booklet 1

# Revision

### National 5 Mathematics Revision in a Nutshell

### Your teacher will issue you a revision booklet for each assessment. The answers for these books can be accessed by clicking the links below.

### N5 S3 Revision for March Assessment ANSWER BOOK

### National 5 Maths Unit 1 Revision Booklet ANSWERS

### National 5 Maths Unit 2 Revision Booklet ANSWERS

### National 5 Maths Unit 3 Revision Booklet ANSWERS

### N5 Mathematics Revision Booklet

### N5 Maths Exam Revision Booklet

N5 Maths Exam Revision Booklet ANSWERS

# Homework

### Pupils may be asked to complete an exercise that has been started in class.

### In addition to this a homework exercise will be issued at the end of each topic. These exercises may be computer tasks or written exercises. The written exercises will be marked by the class teacher. Pupils must make sure that they hand in all homework on time.

### S3 Level 4 to National 5 Homework Booklet