Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Law of large numbers wikipedia , lookup
Bra–ket notation wikipedia , lookup
History of mathematical notation wikipedia , lookup
Positional notation wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Elementary algebra wikipedia , lookup
Signal-flow graph wikipedia , lookup
Large numbers wikipedia , lookup
History of algebra wikipedia , lookup
Michaelmas 1 Levels 1 to 3 Levels 2 to 4 Levels 3 to 5 Levels 4 to 6+ Factors, Multiples and Surds (N4, N5, N6 and N8) Finding Factors and Multiples of a Number Identify Prime Numbers Find the Highest Common Factor and Lowest Common Multiple Find a Prime Factorisation Find HCF, LCM or 3 numbers Finding a Square /Cube root using the prime factorisation Substitution (A1, A2, A5, A6 and A7) Understand the Language of Algebra Substitute Positive whole numbers Plot Coordinates in all 4 quadrants Plot lines parallel to the axis Substitute Negative numbers and Fractions Plot the graph of a linear equation Identify the equation of a straight line from its graph Substitute irrational numbers such as Pi Change the subject of a formula (linear) Plot the Graph of a Quadratic Equation Find the equation of a line given 2 points Find the nth term of a linear sequence Use the nth term to generate a sequence and solve problems Find and use the nth term of a decreasing linear sequence Continue a non-linear sequence Simplifying a Surd using a factor Tree Multiplying and Dividing Using Surds Use Pi in Exact calculations Solve Quadratics using the quadratic Formula Change the subject of a formula (non-linear) Read of a solution from a Quadratic Graph Plot the Graph of a Cubic Find the equation of a Perpendicular Line at a given point Find the nth term of a Quadratic Sequence Solve problems with nonlinear sequences Graphs (A8, A9, A10, A12) Sequences (A23, A24 and A25) Continue a sequence Describe a sequence using a term to term rule Michaelmas 2 Levels 1 to 3 Levels 2 to 4 Levels 3 to 5 Levels 4 to 6+ Proportion (R10, R11, R12, R13 and R14) Recipe Questions where scale factors are whole numbers Simple best buy questions Direct Proportion using formal algebraic methodology Inverse Proportion using formal algebraic methodology Identify the graphs of Direct and Indirect proportionality Ratios (R3, R4, R5, R6, R7 and R8) Simplify a ratio into its simplest form Simplify a Fraction Problem solving using ratios Use Ratios to solve Vector Geometry Problems Percentages (N12, R16 and R9) Find Simple Percentages of an amount with or without a calculator Compound Interest and Depreciation Reverse Percentages Including Iteration Area and Perimeter (G16, G17 and G18) Area and Perimeter of a Square, Triangle, Parallelogram or Kite Compound Area Proportion problems such as Recipe Questions and Value for money Problems involving changing units Currency Conversions Form and use a Conversion Graph Share an amount in a given ratio Convert a Ratio into a Fraction Percentage Increase/ Decrease Percentage Change Percentage out of an Amount Area of a Trapezium, Circle Circumference Problem solving area questions Area of a Sector Length of an Arc Area of a triangle using trigonometry Area of a Segment Lent 1 Fractions and Negative Numbers (N1, N2 and N10) Angles (G1, G3, G6 and G10) Equations and Inequalities (A17, A19, A21, A22) 3d Shapes (G1 and G12) Levels 1 to 3 Levels 2 to 4 Levels 3 to 5 Levels 4 to 6+ Ordering Positive and Negative Numbers Adding and Subtracting fractions with the same denominator Classify and Measure Angles Use angles on a straight line and around a point 4 Operations with Fractions 4 Operations with Negative Numbers 4 Operations with Mixed Numbers 4 Operations with simple Algebraic Fractions Rationalise the denominator using Surds Solve Angle problems involving Interior and exterior angle as well as problems using parallel lines Solve Equations and Inequalities with unknowns on both sides Form and Solve equations Volume and Surface area of a Prism Prove simple angle facts Use the Circle theorems to find missing angles Solve Linear Inequalities using the elimination method Solve Quadratic Simultaneous Equations by substitution Volume and Surface area of compound Prisms Volume of Cones, Cylinders, Spheres and Pyramids Solve 1 and 2 step equations and Inequalities Write an inequality on a number line Volume by counting Cubes Use the terms Vertices, Faces and Edges Lent 2 Levels 1 to 3 Levels 2 to 4 Levels 3 to 5 Levels 4 to 6+ Pythagoras and Trigonometry (G20 and G22) Simple Pythagoras Squaring and Rooting numbers Pythagoras of compound shapes Simple Trigonometry Sine and Cosine Rules Similarity and Symmetry (R2, G5 and G19) Identify Congruent and Similar Shapes Enlarge shapes Rotational and line Symmetry Measuring Angles and Lines Drawing a Net and Plan and Side elevations Use the terms SAS, SSS and ASA to prove congruence Solve Similarity problems for 2d shapes Construct a Triangle using SAS, SSS and ASA Solve Similarity problems for 2d shapes including Areas Solve similarity problems for 3d shapes including Volume Construct a bearing Identify an optimal region using inequalities Probability using words Probability of Single Events Sample space diagrams Relative Frequency Frequency Trees 2 way Tables Construct Perpendicular Bisectors and Angle Bisectors Solve problems involving Loci Tree Diagrams Constructions (G2, G13, G15 and A22) Probability (P1,P2,P3,P4, P6,P7,P8,P9) Using Venn Diagrams to solve probability and frequency problems Set Notation Trinity 1 Levels 1 to 3 Fractions, Decimals, Percentages and Standard Form (N2, N3 and N9) Manipulating Expressions (A4, A18) Ordering Decimals BIDMAS Simple Multiplication Collecting Like terms Expanding a Single Bracket Factorise into a Single Bracket Relationship Graphs (S6, S2 and R1) Plotting a Scatter Graph Using a Conversion Graph Averages (S1,S4 and S5) Mean, Median, Mode and Range from a list of numbers Levels 2 to 4 Levels 3 to 5 Ordering Fractions, Long Multiplication with Decimals and Percentages numbers such as 23.7 Long Multiplication Writing a number in Multiplying Decimals Standard Form Expand and Simplify Factorise a quadratic Expand two Brackets Identify the difference of 2 Factorise expression of the squares 2 form x + kx Solve a Quadratic by factorising Classify Correlation Using a Distance-Time graphs Mean, Median, Mode and Range from frequency table Use the terms extrapolation and interpolation Mean, class that includes the Median, Modal class and Range from grouped frequency table Levels 4 to 6+ Converting Recurring decimals into fractions Calculations using Standard Form Factorise a quadratic of the form ax2 + bx + c Write a quadratic in completed square form Expand using Surds Time Series graphs Interquartile range and box plots from a list of numbers Compare distributions Trinity 2 Levels 1 to 3 Levels 2 to 4 Levels 3 to 5 Levels 4 to 6+ Estimation and Rounding (N14, N15 and N16) Round to the nearest multiple of 10 Round to 1 or 2 decimal places Round to 1 or 2 Significant Figures Estimate the answer to 1 step calculations Estimate the Answer to compound calculations Calculate the error bounds of a calculation using inequality notation Transformations and Vectors (G24, G25 and G7) Reflect in the x and y axis Translate shapes using Vector notation Enlarge shapes by a scale factor Pictogram Bar chart Tally Chart Rotate around a point Enlarge through a point Reflect through any straight line Negative and fractional scale factor enlargements Simple Vector arithmetic Describe a transformation Solve problems involving vectors Pie Chart Stem and Leaf Cumulative Frequency Curve Box Plots Histograms Use Index Notation Use the Multiplication, Division and Power of a Power Laws of Indices Use the Zero Power Rule Use the Multiplication, Division and Power of a Power Laws of Indices where there is a coefficient other than 1 Use Fractional Powers to evaluate numbers including fractions Use Negative Fractional Powers to evaluate numbers including fractions Charts and Graphs (S2 and S3) Indices (A1,A3 and A4)