Noteful Mathematics

• Convert recurring decimals into fractions.
• Write decimals as recurring decimals.

• Understand sets in algebraic terms.
• Understand and use subsets.
• Use the notation n(A)
• de Morgan and equivalent representations.
• Definitons of rational and natural numbers (and Q and N symbols).
• Existence of irrationals.

• Solve problems using upper and lower bounds where vaues are given to a degree of accuracy.
• Bounds for compound quantities where a variable appears more than once.

Algebraic Fractions

• Manipulate algebraic fractions where the denominator can be numeric or a multiple of x or x².

HCF and LCM of Algebraic Expressions

• HCF and LCM of algebraic expressions.

• Change the subject of a formula where the subject appears once.
• Derive a formula or expression.
• Understand the process of manipulating formulae or equations to change the subject to include cases where the subject may appear twice or a power of the subject occurs.
• Includes cases which require completing the square.

• Understand the concept of a quadratic expression.
• Be able to factorise quadratic expressions where the coefficent of x² is > 1.
• Solve quadratic equations by factorisation.

• Circle vocabulary.
• Understand chord and tangent properties of circles.
• Recognise the term cyclic quadrilateral.
• Understand and use angle properties of the circle.
• Circle theorems.

• Find perimeters and areas of sectors of circles.

Measures of Average and Spread

Visual Representations of Data

• Use different methods of presenting data.
• Use appropriate methods of tabulation to enable the construction of statistical diagrams.
• Interpret statistical diagrams.
• Identify the modal class for grouped data.

Histograms

• Construct and Interpret Histograms.

Cumulative Frequency Diagrams

• Construct cumulative frequency diagrams from tabulated data.
• Use cumulative frequency diagrams.
• Estimate the median from a cumulative frequency diagram
• Estimate the interquartile range from a cumulative frequency diagram.
• Use linear interpolation to estimate quartiles.

• Draw and use tree diagrmas.
• Determine the probability that two or more independent events will occur.