IGCSE MATHEMATICS 2009-2010

(Term 1)

 

Expectations:

 

(a)  Learning partners will review and expand their knowledge of Graphs. They will:

(i)                  Construct tables of values, and use the coordinate pairs to graph functions.

(ii)                 Find the gradient using two points or by looking at a graph.

(iii)                Graph linear equations using slope-intercept form y = mx + c, and find the equation of a line given different types of information.

(iv)                Plot quadratic functions and estimate gradients by drawing tangents.

(v)                  Interpret and graph exponential functions and reciprocal functions, and understand the concept of an asymptote.

(vi)                 Interpret speed-time graphs and distance-time graphs, and apply rate of change to them.

 

(b)  Learning partners will review and expand their knowledge of Sets, Vectors and Functions. They will:

(i)                   Comprehend the language and notation in describing sets. This involves the symbols .

(ii)                 Solve logical problems using Venn diagrams.

(iii)                Calculate the magnitude of vectors and understand direction in vectors and parallel vectors.

(iv)                Use column vectors to add and subtract vectors, and multiply a vector by a scalar.

(v)                  Understand absolute value and the modulus of a vector.

(vi)                Solve different types of problems involving vector geometry.

(vii)               Understand functions, composite functions and inverse functions, and use flow diagrams to help solve them.

 

(c)  Learning Partners will review and expand their knowledge of Matrices and Transformations. They will:     

(i)                   Display information using a matrix, and perform arithmetic operations on matrices.

(ii)                 Find the inverse of a matrix, calculate the determinant of a matrix, and understand where the identity matrix comes from.

(iii)                Analyze and draw transformations, including reflections, translations, rotations and enlargements, and use these to plot combined transformations.

(iv)                Understand the concept of repeated transformations, inverse transformations, and transformations using matrices.

(v)                 Use base vectors to describe a transformation, and understand what is meant by a shear and a stretch.

 

(d)  Learning Partners will review and expand their knowledge of Investigations and Practical Problems. They will:

(i)                 Use analysis and problem solving skills to start working through an unsolved problem.

(ii)                Draw diagrams and use tables of results in order to find a systematic process to solve.

(iii)               Look for patterns and find a rule that fits for all situations.

(iv)              Understand how to use a graphing calculator for basic operations, representing data using a table, and graphing functions with ranges of x and y values.