user

LCHL Maths – Trigonometry 2 – Unit Circle

LCHL Trigonometry 2 — Unit Circle

The LCHL Trigonometry strand (Part 2) — the unit circle, radians, and the fundamental trigonometric identity.

Your progress through this topic0 of 9 lessons

Lessons in this topic

All 9 lessons, in order — each one ticks off as you open it.

1Deriving the unit circle 2Introduction to unit circle 3Radians and the unit circle 4More than two answers to unit circle 5Coefficient in front of the angle 6No domain (generalising the angle)7Unit circle on the axes 8Converting degrees, radians, degrees/minutes/seconds 9Use the calculator to find the reference angle

Key ideas in this topic

Check it against the exam

Jump straight to the fully worked solution for that paper.

2023 Paper 2 Q2 →2023 Paper 2 Q9 →2022 Paper 1 Q8 →2022 Paper 2 Q5 →2021 Paper 2 Q4 →

user

LCHL Maths – Trigonometry 1 – Triangles (Sine rule, Cosine rule, Pythagoras theorem etc.)

LCHL Trigonometry 1 — Triangles

The LCHL Trigonometry strand (Part 1) — right-angled and non-right-angled triangles, the sine and cosine rules, the area of a triangle, sectors and discs, and Pythagoras.

Your progress through this topic0 of 8 lessons

Lessons in this topic

All 8 lessons, in order — each one ticks off as you open it.

1Pythagoras theorem 2Sin, Cos and Tan 3Sketching right angled triangles 4SinA = Cos(90-A)5Sine Rule 6Cosine Rule 7Area of non-right-angled triangle 8Sector of a Circle

Key ideas in this topic

Check it against the exam

Jump straight to the fully worked solution for that paper.

2023 Paper 2 Q2 →2023 Paper 2 Q4 →2023 Paper 2 Q7 →2021 Paper 2 Q7 →2020 Paper 2 Q3 →

user

LCHL Maths – Co-ordinate Geometry of The Line

LCHL Co-ordinate Geometry of the Line

The LCHL Co-ordinate Geometry of the Line strand — distance, midpoint and slope; the equation of a line; parallel and perpendicular lines; dividing a line in a given ratio; the area of a triangle; the perpendicular distance from a point to a line; and the angle between two lines.

Your progress through this topic0 of 9 lessons

Lessons in this topic

All 9 lessons, in order — each one ticks off as you open it.

1JC Revision 2Position of a point relative to a line 3Dividing a line into a specific ratio 4Area of Triangle 5Perpendicular distance from a point to a line 6Angle between two lines 7Construction 16 – Circumcircle 8Construction 21 – Centroid 9Construction 22 : Orthocentre

Key ideas in this topic

Perpendicular distance, point to lineThe Line 5

Check it against the exam

Jump straight to the fully worked solution for that paper.

2023 Paper 2 Q1 →2023 Paper 2 Q3 →2022 Paper 2 Q2 →2022 Paper 2 Q3 →2022 Paper 2 Q6 →

user

LCHL Maths – Probability

LCHL Probability

The LCHL Probability strand — counting, mutually exclusive and independent events, conditional probability and distributions.

Your progress through this topic0 of 9 lessons

Lessons in this topic

All 9 lessons, in order — each one ticks off as you open it.

1JC Revision 2Probability 2 Mutually Exclusive and Not-Mutually Exclusive events 3Independent events and Conditional probability 4Factorials 5Permutations 6Combinations 7Twin Rule 8Bernoulli Trials 9Relative frequency and Expected value

Key ideas in this topic

Mutually exclusive — disjoint circlesProbability 2

Not mutually exclusive — the overlap is counted onceProbability 2

Conditional probability — restrict the sample space to BProbability 3

Combinations — choosing r from nProbability 6

Bernoulli — the 4 conditionsfixed n · 2 outcomes · constant p · independent

Check it against the exam

Jump straight to the fully worked solution for that paper.

2023 Paper 1 Q8 →2023 Paper 2 Q1 →2019 Paper 2 Q1 →2018 Paper 2 Q3 →

user

LCHL Maths – Statistics

LCHL Statistics

The LCHL Statistics strand — descriptive and summary statistics, the normal distribution and the empirical rule, sampling, confidence intervals and hypothesis testing.

Your progress through this topic0 of 21 lessons

Lessons in this topic

All 21 lessons, in order — each one ticks off as you open it.

Key topics to learn off

Types of dataHistogram = continuous dataBar chart = discrete dataMean, mode, medianRange, IQR, standard deviationPercentilesSampling methodsTypes of skewSD & r on the calculatorThe empirical ruleThe 3 margins of errorCritical valuesp-valuesConfidence intervalsCorrelation & scatter plotsThe normal distributionHypothesis testing (null vs alternative)