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Maths Tuition – Part 4

Data Handling

Links to other parts of Maths programme

Part 1  Part 2  Part 3

Volume 1
  • Place value. Reading, writing and understanding numbers up to a million with five decimal places.
  • Multiplying and dividing by 10, 100 and 1000.
  • Powers (indices). Basic calculations using numbers with powers. Understanding negative powers.
  • Very large and very small numbers. Writing numbers in standard form.
  • Addition and subtraction including numbers in standard form.
  • The Standard Written Method for multiplication and division including numbers in standard form.
  • Using < and > to compare decimals very large and very small numbers including numbers in standard form.
  • Prime numbers, multiples and factors and divisibility.
  • Squares and cubes. Square roots and cube roots.
  • Manipulating fractions. Adding and subtracting fractions including mixed numbers.
  • Ratio and proportion. Finding ratio in its simplest form. Problems relating to ratio and proportion.
  • Working with fractions, decimals and percentages.
  • Mental strategies.
Volume 2
  • Powers of ten. The vocabulary of very large and very small numbers.
  • Rounding. To the nearest ten thousand, thousand, hundred, ten or whole number. To 1, 2 or 3 decimal places. Using a calculator to find the decimal equivalent of a fraction.
  • Negative numbers. Addition, subtraction, multiplication and division including negative numbers.
  • Prime numbers. Factors, prime factors and lowest common multiple. Highest common factor.
  • Power laws. Multiplying and dividing powers. Finding square and cube roots of powers.
  • Adding and subtracting fractions. Using lowest common multiple to add and subtract complex fractions. Problems involving fractions.
  • Multiplying and dividing fractions. Simplifying by cancelling.
  • Ratio and proportion. Working with volume and surface area. Problems involving ratio and proportion.
  • Percentages. Understanding percentage increase and percentage decrease.
  • Order of operations. BODMAS
  • Using a basic calculator using the memory function and introducing the advanced scientific calculator.
Volume 3
  • Letters for numbers. Expression, equations and formulas.
  • Simplifying. Expanding brackets, taking out common factors and collecting like terms.
  • Rules of algebra. Addition, subtraction multiplication and division.
  • Solving equations. The balance method, the inverse method and trial and improvement.
  • Graphs. Straight line graphs. Finding the intercept and the slope. Recognising y = mx + c.
  • Drawing line graphs.
  • Simultaneous equations. Solving simultaneous equations by eliminating a variable or substitution.
  • Finding a graphical solution to a pair of simultaneous equations.
  • Finding equations in word problems.
  • Applications of algebra. Famous formulas. Fahrenheit to Centigrade and Euler.
  • Inequalities. Solving linear inequalities. Showing solutions on a number line. Graphs to show the solution set for simultaneous inequalities.
  • Non-liner inequalities. Solving non-linear equations.
  • Sequences. Describing a sequence using term-to-term and position methods. Finding the nth term.
  • Staircase diagrams. Understanding limiting values.
  • Functions. Using a function machine. Testing formulas. Inverse functions
  • Graphs of functions.
Volume 4
  • Measures. The vocabulary of measurement. Converting between measures. Problems involving measures. Approximate equivalents. Time, distance and speed. Average speed.
  • Lines, angles and bearings. Measuring angles. Using a protractor to construct angles. Acute, obtuse and reflex angles. Internal and external angles. Supplementary and complementary angles. Drawing and calculating bearings. Perpendicular and parallel lines. Vertically opposite angles. Corresponding and alternate angles. The sum of internal angles
  • Polygons and Pythagoras. Angles in polygons. Using Pythagoras.
  • Congruence and similarity. The rules for congruency.
  • Reflection, rotation, translation and enlargement. Lines and planes of symmetry. Rotation about a point. Object and image. Describing translations. Scale factor.
  • Coordinates. Understanding and using coordinates for reflection, rotation, translation.
  • Recognising and describing transformations.
  • Nets of solids. Plan and elevation. Construction of perpendiculars, bisectors, angles and polygons using ruler and compasses.
  • Perimeter and area, volume and surface area. Formula to find area, volume and surface area. Finding the surface area and volume of complex solids.
  • Circles and cylinders. The vocabulary of the circle. Introducing p. 2pr, pr² and pr²h. Calculating circumference and surface area. Calculating the area of a sector of a circle.
  • Trigonometrical ratios. Sine, cosine and tangent. Calculating angles and the length of sides.
  • Word and real life problems using measures.
Volume 5
  • Surveys. Discrete and indiscrete data. Collecting data. Tally charts, surveys and questionnaires.
  • Class intervals. Choosing suitable class intervals.
  • Understanding and finding the mean, mode and median of a set of data.The mid point of each class interval. Modal and median class.
  • Statistics ranges. Calculating the range of a set of statistical data. Quartiles. Stem and leaf diagrams.
  • Using statistics to solve word problems.
  • Charts and diagrams. Frequency graphs, bar charts, compound bar charts. Frequency polygons.
  • Line and scatter graphs. The line of best fit.
  • Interpreting data. Reading information from all kinds of charts and diagrams.
  • Measuring, calculating and using probability. Drawing a probability line. Sample space and possible outcomes. Percentage chance. Combined probabilities. Probabilities with and without replacement. Practical probability experiments. Comparing experimental and theoretical probabilities.