NCEA L1 Maths study plan

Convert fluently among fractions, decimals, percentages, and standard form, and order mixed sets of numbers without a calculator

Apply the order of operations to multi-step numeric expressions, including brackets, exponents, and negative numbers

Round to a given number of decimal places or significant figures and state the effect of rounding on a calculated answer

Set up and solve ratio and proportional-reasoning problems drawn from everyday contexts such as recipes, maps, and unit pricing

Simplify algebraic expressions by collecting like terms, expanding single brackets, and factorising common factors

Solve linear equations and inequations, including those with fractions or variables on both sides, and represent solutions on a number line

Rearrange a formula to make a specified variable the subject

Interpret and use linear patterns to find the general term of a simple sequence

Calculate perimeter, area, and volume for rectangles, triangles, circles, prisms, and composite shapes, choosing the correct formula

Apply Pythagoras' theorem to find missing sides and to test whether a triangle is right-angled

Use trigonometric ratios (sin, cos, tan) to find sides and angles in right-angled triangles

Convert between units of length, area, and volume and justify why area conversions square the factor

Plot points and straight-line graphs from equations in the form y = mx + c and identify gradient and intercepts

Interpret the gradient and intercept of a linear model in a real context such as cost versus quantity

Sketch and interpret simple quadratic and exponential patterns from tables of values

Read and critique data displays embedded in mathematical problems, spotting misleading scales

Distinguish between categorical and numerical variables and between population and sample in given scenarios

Design a short survey or data-collection plan that avoids leading questions and obvious bias

Critique the sampling method and possible bias in two published data stories

Classify data sets as time series, grouped, or individual and choose an appropriate display for each

Construct and interpret dot plots, histograms, box-and-whisker plots, and scatter plots by hand and with a spreadsheet

Calculate mean, median, mode, range, quartiles, and interquartile range and explain when each measure is most appropriate

Describe the shape and spread of a distribution, including skew and outliers, using correct vocabulary

Identify and interpret correlation in bivariate data, distinguishing correlation from causation

Interpret risk, relative frequency, and probability statements expressed as fractions, decimals, and percentages

Evaluate the strength of a conclusion drawn from a data display, identifying missing information and alternative explanations

Write a structured statistical report that states the purpose, method, findings, and limitations

Peer-mark a sample report against a checklist of statistical-report criteria

Complete two full timed practice papers, one weighted to Mathematics and one to Statistics, under exam conditions

Mark both papers and rank errors by cause: content gap, misread question, arithmetic slip, or time pressure

Re-teach the two weakest skills from each domain using worked examples and re-test them

Compile a one-page exam-day strategy covering time allocation, showing working, and checking answers