Revision+Lesson+Topics

=Revision Lesson Topics=

Lesson 1
I can carry out calculations involving reverse percentages, e.g. finding the cost price given the selling price and the percentage profit I can obtain appropriate upper and lower bounds to solutions of simple problems (e.g. the calculation of the perimeter or the area of a rectangle) given data to a specified accuracy I can use language, notation and Venn diagrams to describe sets and represent relationships between sets (see syllabus for list)

Lesson 2
I can express direct and inverse variation in algebraic terms I can increase and decrease a quantity by a given ratio I can use algebra to find unknown quantities in direct/inverse variation problems

Lesson 3/4
I can calculate the gradient of a straight line from the co-ordinates of two points on it I can calculate the length and the co-ordinates of the midpoint of a straight line segment from the co-ordinates of its end points I can estimate gradients of curves by drawing tangents; I can solve associated equations approximately by graphical methods

Lesson 5
I can expand products of algebraic expressions I can factorise expressions of the form a2 + 2ab + b2 I can factorise expressions of the form a2x2 - b2 y2 I can factorise expressions of the form ax + bx+ kay+ kby I can factorise expressions of the form ax2 + bx+ c
 * I can construct and transform more complicated formulae and equations

Lesson 6
I can factorise and simplify algebraic fractions where variables appear on the top and bottom I can manipulate algebraic fractions where the denominator is algebraic I can manipulate algebraic fractions where the denominator is numeric

Lesson 7
I can form composite functions as defined by gf(x) = g(f(x)) I can use function notation, e.g. f (x) = 3x- 5, f:x--> 3x- 5 to describe simple functions, I can use the notation f -1(x) to describe their inverses, which I can subsequently find

Lesson 8
I can calculate the determinant and inverse A-1 of a non-singular matrix A I can calculate the product of a matrix and a scalar quantity; I can calculate the sum and product of two matrices; I can calculate the magnitude of a vector using Pythagoras I can display information in the form of a matrix of any order;

Lesson 9
I can represent inequalities graphically I can solve simple linear inequalities

Lesson 10
//skipped due to field trip//

Lesson 11
I can use the property "equal chords are equidistant from the centre" to solve circle problems I can use the property "tangents from an external point are equal in length" to solve circle problems I can use the property "the perpendicular bisector of a chord passes through the centre" to solve circle problems I know and can use angle properties of irregular polygons I know and can use angle properties of cyclic quadrilaterals I know and can use that the angle at the centre of a circle is twice the angle at the circumference I know and can use that the angles in opposite segments are supplementary I know and can use that the angles in the same segment are equal

Lesson 12
I can use the relationships between areas of similar shapes to correctly increase volume, area or surface area.

Lesson 13
skipped, not needed

Lesson 14
I can solve problems involving the arc length and sector area as fractions of the circumference and area of a circle I can solve trigonometrical problems in two dimensions involving angles of elevation and depression,

Lesson 15
I can solve problems involving the surface area and volume of a sphere, pyramid and cone (given the formulae) I can recognise symmetry properties of the prism (including cylinder) and the pyramid (including cone)

Lesson 16
I can represent vectors by directed line segments I can use position vectors I can use the algebra of 2 x 2 matrices including the zero and identity 2 x 2 matrices I can use the sum and difference of two vectors to express given vectors in terms of two coplanar vectors;

I can solve quadratic equations by factorisation I can solve quadratic equations either by use of the formula or by completing the square

Lesson 17
I can extend sine and cosine values to angles between 90° and 180°, I can use and interpret fractional indices, e.g. solve 32^x = 2

Lesson 18
I can solve 3D problems using Pythagoras I can solve simple trigonometrical problems in three dimensions including angle between a line and a plane

Lesson 19
I can calculate an estimate of the mean for grouped and continuous data I can construct and use cumulative frequency diagrams I can estimate and interpret the median, percentiles, quartiles and inter-quartile range from a cumulative frequency diagram I can estimate and interpret the median, percentiles, quartiles and inter-quartile range from a historgram

Objectives to cover on mymaths
I can construct and read histograms with unequal intervals (areas proportional to frequencies and vertical axis labelled 'frequency density') I can identify the modal class from a grouped frequency distribution

Objectives that we have either done, or are easy enough for you to revise yourself
I can solve problems using the sine and cosine rules for any triangle and the formula area of triangle = 1/2 ab sin C I can calculate the probability of simple combined events using possibility diagrams I can calculate the probability of simple combined events using tree diagrams I can combine transformations (if M(a) = b and R(b) = c the notation RM(a) = c will be used; invariants under these transformations may be assumed.) I can describe transformations using co-ordinates and matrices (singular matrices are excluded) I can identify and give precise descriptions of transformations connecting given figures I can use enlargement (E) in the plane I can use I can use rotation (R) in the plane I can use reflection (M) in the plane I can use shear (H) in the plane I can use stretching (S) in the plane I can use translation (T) in the plane I can apply the idea of rate of change to easy kinematics involving distance-time and speed-time graphs, acceleration and deceleration I can calculate distance travelled as area under a linear speed-time graph I can construct tables of values and draw graphs for functions of simple sums of not more than three ax^n functions and for functions of the form ax where a is a positive integer; I can construct tables of values and draw graphs for functions of the form ax^n where a is a rational constant and -3 < n < 3
 * I can use this graphical inequalities in the solution of simple linear programming problems, using the conventions of using broken lines for strict inequalities and shading unwanted regions**