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NCEA Level 2

Map Worksheet Extension Summer pack

Maths72 lessons

Algebra · AS 91261

Index laws, fractional indices and surdsVideo Expanding, factorising and simplifying algebraic fractionsVideo Quadratic equations: solving, and forming from the rootsVideo The discriminant: how many roots, and what kindVideo Logarithms: what they mean and the log lawsVideo Exponential growth and decay: interest, depreciation, half-lifeVideo Simultaneous equations: two lines, or a line and a curveVideo Algebraic modelling: completing a model from the contextVideo Indices and surds: 7 exam questions solved step by stepVideo Algebraic fractions: 7 exam questions solved step by stepVideo Quadratic equations: 7 exam questions solved step by stepVideo The discriminant: 7 exam questions solved step by stepVideo Logarithms: 7 exam questions solved step by stepVideo Exponential models: 7 exam questions solved step by stepVideo Simultaneous equations: 7 exam questions solved step by stepVideo Algebraic modelling: 6 exam questions solved step by stepVideo

Calculus · AS 91262

The derivative: what the gradient function meansVideo Differentiating polynomials, fractions and allVideo Equation of a tangent to a curve, step by stepVideo Turning points: finding and proving max or minVideo Sketching the gradient graph of a functionVideo Optimisation with calculus: the biggest boxVideo Anti-differentiation and why you need + cVideo Kinematics: displacement, velocity and accelerationVideo The derivative: 7 exam questions solved step by stepVideo Differentiating: 7 exam questions solved step by stepVideo Tangents: 7 exam questions solved step by stepVideo Turning points: 7 exam questions solved step by stepVideo Gradient graphs: 7 exam questions solved step by stepVideo Optimisation: 7 exam questions solved step by stepVideo Anti-differentiation: 7 exam questions solved step by stepVideo Kinematics: 7 exam questions solved step by stepVideo

Probability · AS 91267

Probability: when to add and when to multiplyVideo Two-way tables and conditional probabilityVideo Probability trees from written information, forwards and backwardsVideo Expected value and expected numbersVideo Relative risk: above 1, below 1, and evaluating a claimVideo The normal distribution: probabilities and z-valuesVideo Inverse normal: finding a value, the mean or the standard deviationVideo Comparing distributions: shape, centre and spreadVideo Probability rules: 7 exam questions solved step by stepVideo Two-way tables: 7 exam questions solved step by stepVideo Probability trees: 7 exam questions solved step by stepVideo Expected value: 7 exam questions solved step by stepVideo Relative risk: 7 exam questions solved step by stepVideo Normal distribution: 7 exam questions solved step by stepVideo Inverse normal: 7 exam questions solved step by stepVideo Comparing distributions: 7 exam questions solved step by stepVideo

Geometry · AS 91256

Distance, midpoint and gradient Writing the equation of a line Parallel and perpendicular lines Modelling problems on the coordinate plane

Geometry · AS 91257

Families of graphs Transforming graphs Finding the equation from a graph Modelling with the right graph

Algebra · AS 91258

Arithmetic sequences and series Geometric sequences and series Sigma notation Growth and financial problems

Trigonometry · AS 91259

The sine and cosine rules Area of any triangle Bearings and 3D problems Radians, arcs and sectors

Statistics · AS 91264

Sampling and the enquiry cycle Box plots and informal confidence intervals Comparing two samples Making and justifying an inference

Algebra · AS 91269

Simultaneous linear equations A line and a curve What the solutions mean Modelling with systems

Science45 lessons

Biology · AS 91153

Biology investigation: catalase and temperature, start to finish

Biology · AS 91154

Biological validity: judging the science in public claims

Biology · AS 91155

Adaptation: how New Zealand plants and animals fit their way of life

Biology · AS 91156

Cells, organelles and membrane transport Enzymes and the factors that affect them Photosynthesis and respiration in the cell DNA replication, mitosis and the cell cycle

Biology · AS 91157

Meiosis, mutation and inheritance Gene pools and how they change

Biology · AS 91158

Zonation on a rocky shore: investigating a community pattern

Biology · AS 91159

DNA, transcription and translation Mutations, metabolic pathways and the environment

Biology · AS 91160

Investigating cells under the light microscope

Chemistry · AS 91163

The chemistry behind the lithium-ion battery

Chemistry · AS 91164

Lewis structures, shapes and polarity Structure and properties of solids Energy changes in reactions

Chemistry · AS 91165

Naming and drawing organic compounds Reactions of organic compounds

Chemistry · AS 91166

Rates of reaction and collision theory Equilibrium, acids, bases and pH

Chemistry · AS 91167

Oxidation and reduction: electrons, colours and equations

Chemistry · AS 91910

Titration: how much acid is really in the vinegar?

Chemistry · AS 91911

Qualitative analysis: which ions are in the sample?

Earth and Space Science · AS 91187

Carrying out an Earth and Space Science investigation

Earth and Space Science · AS 91188

Sea-level rise in Aotearoa: an issue and its sources

Earth and Space Science · AS 91189

Geological processes at Franz Josef and the Southern Alps

Earth and Space Science · AS 91190

Surviving extreme environments: hot springs, ice and alpine cold

Earth and Space Science · AS 91191

Earthquakes and volcanoes in Aotearoa Tsunami, landslides and linked hazards

Earth and Space Science · AS 91192

Stars: fusion, the HR diagram and life cycles Planetary systems: formation, orbits and exoplanets

Earth and Space Science · AS 91193

Density, pressure and convection in the Earth system Heat transfer in the Earth system

Physics · AS 91168

A physics investigation with a non-linear relationship

Physics · AS 91169

Physics in a selected context: the bungy jump

Physics · AS 91170

Light: mirrors, refraction, total internal reflection and lenses Wave behaviour: reflection, refraction, diffraction and interference

Physics · AS 91171

Motion, vectors and projectiles Forces, torque and circular motion Momentum, energy and springs

Physics · AS 91172

Atomic and nuclear physics: the nucleus, radiation and E = mc²

Physics · AS 91173

Electric fields and charges between parallel plates DC circuits: series, parallel and combined Magnetic forces and induced voltage