Solving linear equations Differentiating power functions Deriving functions Adding & subtracting like terms Order of operations (GEMA) Adding & subtracting fractions Multiplying fractions Dividing fractions Fractions of a quantity Rearranging formulae Operations with algebraic fractions Algebra with geometry Angles around a point Angles in polygons Angles on a straight line Applying pythagoras theory Applying pythagoras theory to 3d representations Area of l shapes and composite shapes Area of trapezium Budgets Circle theorem Compass direction Cyclic quadrilaterals Distance between two points pythagoras Expanding double brackets Expanding single brackets Expected number Extrapolating linear quadratic and exponential patterns F t Factorising double brackets with a co efficient equal to 1 Factorising quadratics where a 1 Factorising single brackets Factorising special double brackets perfect squares difference between squares Forming percentages Geometric reasoning parallel lines polygons Increasing and decreasing by a given percentage Interior angles of a triangle Internal and external Introduction to pythagoras theory finding the long side Measurement applications compound shapes Measurement applications sine rule Money exchange rates ratios Multi step pythagoras theory Multiplying dividing by 10 100 1000 Multiplying expressions no powers Perimeter of compound shapes using pythagoras theory Perimeter shapes with straight edges only Pythagoras theory finding short and long sides Pythagorean triples Rates and compound measures Rearranging formulae and multistep equations Rearranging formulae changing the subject Regular irregular polygon Rounding to decimal points Significant figures Similar shapes Similarity and congruence Simplifying algebraic fractions Simplifying expressions with gema bedmas Simplifying fractions with unfactorised quadratic in denominator or numerator Sohcahtoa and composite shapes involving circles Solving 1 step equations Solving measurement equations Solving quadratics Solving quadratics where a 1 Substituting values into formulae Substitution Surds Tessellation Transformation translation reflection enlargement Trigonometry finding an angle Two way tables Using formulae Using sohcahtoa with compound shapes Using the sine rule to find missing angles Using the sine rule to find missing sides Vertically opposite angles Volume of cubes and cuboids Volume of other 3d shapes cylinders cones pyramids spheres etc Volume of pyramids cones and spheres NCEA numeracy corequisite: everyday problem solving Solving linear inequalities Geometric proof and reasoning Applying pythagoras theory and trigonometry to 3d shapes Time Calculating averages and range Measurement prefixes Measurement applications: pythagoras Dividing expressions Vectors, bearings and grid references Frequency tables and probability Prime factors Relationship between percentages, fractions, and decimals Tools of chance Forming fractions Determining nth term of pattern or spatial pattern Measurement applications: limits of accuracy Interpreting measures of centre and spread Advanced power rules Converting between improper fractions and mixed numbers Using features of a parabola to solve problems Volume of prism Measurement applications: SOHCAHTOA Multiples and lowest common multiples Place values and decimals Analysing Symmetry in Patterns Angle Properties of Parallel Lines Area (including circles and composite shapes) Area, Perimeter and Circumference of 2D Shapes Capacity Circumference and area of circles Combined Transformations (Sequences of Transformations) Compound shapes with algebra Conditional and independent events Construction and Loci Converting between units Drawing nets of 3D shapes Enlargement (Transformations) Equivalent Fractions Estimating lengths from scale drawings and photos Expected outcome Exponential patterns and graphs Factors, Highest Common Factors & Primes Frequency tables F/T probability Geometry of Conic Sections Gradient Finding x- and y-intercepts Finding Point of Intersection of Two Lines Graphing parabolas a≠1 Grid References and Map Reading Integers Interpreting bar graphs & histograms Interpreting pie charts & pictograms Irrational numbers Isometric drawing of 3D shapes Isometric Drawing, Plan Views, and Nets of Solids Linear model for scatter plots Liquid volume Map Scales and Scale Drawings Measurement applications: arcs and sectors Measurement applications: compound 3D shapes Measurement applications: integrated projects Measurement applications: simple shapes Measurement applications: sine area rule Measurement applications: surface area and paint Metric Units and Conversions Misleading graphs Multiplying Expressions (with powers) Nets of 3D shapes Parabola factorised form (a=1 only) Parabola vertex form (a=1 only) Percentage of a given quantity Perimeter (including circles and composite shapes) Powers & Roots Quartiles Reciprocals Reflection: Lines of Reflection, Invariant Points and the Mirror Line Reverse percentage Sampling methodology Scientific notation Set notation Simplifying Fractions Calculus Calculus Solving 2-step equations Solving equations with fractions Solving equations with variables on both sides Spatial Patterns Including Drawing Next Pattern and Converting to Pattern Surface area Symmetry and Similarity of Shapes Reading and Using Timetables Performing and Describing Rotation (including Combined Transformations) Transformations and Congruence: Reflection, Rotation, Translation and Symmetry Tree diagrams Trees/Combined Events Using Algebra to Find the Point of Intersection of Two Lines Applications of Trigonometric Ratios: Finding Lengths Venn Diagrams Weight