# 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 | ||

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 | ||

December Assessment |
Assessment |

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

January – March |
Arbelos Inverstigation |
Spread of Data 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 | ||

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 |