C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources C4 Mindmap Prior Knowledge: Simplification of rational expressions including factorising and cancelling (C3) Rational functions. *BOTM* On Target NRich Partial fractions (denominators not more Identifying partial fractions Complex Partial Fractions complicated than repeated linear terms). Finding partial fractions (first part of this problem) Improper partial fractions The mixed bag Algebra and Functions True, Never, Sometimes; Teacher Notes Mathsnet Exam Questions Things to make you go hmmmmmm……. Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Prior Knowledge: Plot graphs of linear, quadratic, cubic functions, the reciprocal function y = 1/x, x ≠ 0, the exponential function y = kx for integer values of x and simple positive values of k, the trigonometrical functions, using a spreadsheet of graph plotter as well as pencil and paper; recognise the characteristic shapes of all these functions (C1) Solution of simultaneous equations. Analytical solution by substitution (C1) Coordinate Geometry Cartesian and parametric equations of *BOTM* On Target A14 curves and conversion between the two Cartesian or parametric EXPLORING forms. Points on parametrics EQUATIONS IN Parametric pictures PARAMETRIC FORM True, Never, Sometimes; Teacher Notes RISP 27 RISP 29 Mathsnet Exam Questions NRich Folium of Descartes Things to make you go hmmmmmm……. Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Prior Knowledge: Binomial expansion of (1+x)n for a positive integer n (C2) n The notations n! and ( ) (C2) Sequences and Series r Multiplying fractions and integers Binomial series for any rational n. *BOTM* On Target RISP 19 Valid expansions Rational powers Binomial with a twist True, Never, Sometimes; RISP 22 Partial binomials Teacher Notes NRich Mathsnet Exam Discrete Trends Questions Things to make you go hmmmmmm……. Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Prior Knowledge: Cartesian and parametric equations of curves and conversion between the two forms. y = ax and its graph (C2) Indefinite integration as the reverse of differentiation (C1) Integration of xn (C1) Differentiation of simple functions defined *BOTM* On Target NRich implicitly or parametrically. Implicit functions Squareness Implicit differentiation Folium of Descartes Differentiation Parametric differentiation Parametric areas Areas with a twist Exponential growth and decay True, Never, Sometimes; Teacher Notes Formation of simple differential equations *BOTM* RISP 28 Differential equations Mathsnet Exam RISP 30 Questions NRich Integral Equation Things to make you go hmmmmmm……. Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Prior Knowledge: Indefinite integration as the reverse of differentiation (C1) Integration of xn (C1) Evaluation of definite integrals (C2) Interpretation of the definite integral as the area under a curve (C2) Approximation of area under a curve using the trapezium rule (C2) Differentiation of ex , lnx, sinx, cosx and tanx and their sums and differences (C3) Differentiation using the product rule, the quotient rule, the chain rule (C3) Integration dy dy The use of = 1/ (C3) dx dx Simplification of rational expressions including factorising and cancelling (C3) Partial fractions (C4) Formation of simple differential equations (C4) Solve problems involving volumes of right prisms, cylinders, cones and spheres x 1 *BOTM* Log cabin or beachhut? Integration of e , , sinx, cosx Standard functions Maths poetry On Target x Logarithms E Jokes SIC is negative Find your buddy Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Simple cases of integration by BOTM dx i) Where does y = ∫ x ) f( du i) substitution Simple substitution du Definite substitution come from?; Harder substitution Integrating tanx and Integrating lnx Unjumble with a twist; Trigonometry Teacher Notes Definite Integration ii) integration by parts. Making decisions ii) Unjumble cyclic; Standard, substitution or Teacher Notes These methods as the reverse process of parts*; Teacher Notes the chain and product rules respectively. *Gotta be, could be, can’t be*; Teacher Notes Fifty ways to do an integral True, Never, Sometimes; Teacher Notes Simple cases of integration using partial BOTM fractions Harder Logarithms Evaluation of volume of revolution. BOTM Deriving V = π ∫dx y2 RISP 25 Volumes Parametric volumes Mathsnet Exam *Trio*; Teacher Notes Questions Cone Unjumble; Teacher Notes Sphere Unjumble; Teacher Notes Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Analytical solution of simple first order *Differential equation buddies*; RISP 30 differential equations with separable Teacher Notes variables. NRich Out in Space Numerical integration of functions. Mechanical Integration *Things to make you go hmmmmmm…….* Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Prior Knowledge: Understand and use vector notation; Calculate and represent graphically the sum of two vectors, the difference of two vectors and a scalar multiple of a vector; Calculate the resultant of two vectors; Understand and use the commutative and associative properties of vector addition; Solve simple geometrical problems in 2-D using vector methods Multiplication of integers Find the gradient of lines given by equations of the form y = mx + c (when values are given for m and c ) Understand that the form y = mx + c represents a straight line and that m is the gradient of the line, and c is the value of the y intercept The sine and cosine rules Area of a triangle = ½absinC Vectors in 2 and 3 dimensions. BOTM Vector Song NRich Basic skills On Target Article: Vectors – What Magnitude of a vector . Quick History Are They? Vectors Position vectors A mixed bag Algebraic operations of vector addition, *Trio*; subtraction and multiplication by a scalar, Teacher Notes and their geometrical interpretations *Vector terminology loop*; Position vectors. The distance between Teacher Notes two points. *Vector intro loop*; The orthogonal unit vectors. Teacher Notes *Position vector buddies*; Teacher Notes *Treasure Hunt (Easy)* The scalar product. Its use for *BOTM* Deriving the formula; NRich calculating the angle between two lines. Dot Product Student version Treasure Hunt (Hard) Article: Multiplication of Vectors World problem Cubestick Flexi Quads Tetra Perp Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Vector equations of lines. BOTM Cartesian link RISP 29 Equations of lines Intersecting lines *Unjumble*; True, Never, Sometimes; Teacher Notes Teacher Notes *Trio Vector Equation*; Teacher Notes *Trio Vector link with Cartesian*; Teacher Notes Mathsnet Exam Questions *Trio Perpendicular and Intersecting lines*; Teacher Notes *Things to make you go hmmmmmm…….* Produced for GlosMaths by S Lomax C4 (EDEXCEL) ICT Resources Success For All including GlosMaths Topic Objectives Assessment and Bring on the Maths (BOTM) Resources Match Up Maths (MUM) other resources Formulae that students are expected to remember and that may not be included in formulae booklets. Integration Function Integral 1 cos kx sin k x + c k 1 sin kx cos k x + c k 1 kx ekx e +c k 1 ln x + c, x 0 x f ( x) g ( x) f ( x) + g ( x) + c f (g ( x)) g ( x) f ( x) + g ( x) + c Vectors x a y b xa yb zc z c Produced for GlosMaths by S Lomax

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posted: | 12/3/2009 |

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Core-4-Mathematics---Kangaroo-Maths---Exciting-Resources-for-Maths-

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