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Maths Tuition – Part 3

Shape, Space and Measures

Links to other parts of Maths programme

Part 1  Part 2  Part 4

Volume 1
  • Place value. Reading, writing and understanding numbers up to a million.
  • Ordering whole numbers. Using <, >, = and = to order numbers and money.
  • Estimating whole numbers. Rounding numbers to find approximate answers.
  • Negative numbers. Using < and > to order negative numbers. Simple sequences including negative numbers.
  • Equivalent fractions. Understanding and finding equivalent fractions.
  • Mixed and improper fractions. Changing from mixed number to improper fraction and back.
  • Ordering and using fractions. Finding a fraction of a number, length, weight or amount of money.
  • Understanding decimals. Converting from fractions to decimal fractions.
  • Ordering and rounding decimal fractions. Using a number line to order by tenth or hundredth. Rounding decimal fractions to the nearest whole number.
  • Calculators. How to use a calculator. Basic functions and spotting mistakes!
  • Percentages. Understanding the relationship between fractions, decimals and percentages.
  • ‘for every’ questions. Introducing ratio.
  • Written and mental methods for addition and subtraction.
  • Multiplication using the grids method, short multiplication and introducing long multiplication.
  • Division using chunking and introducing short division.
  • Checking answers. Using estimation and an understanding of the effect of operations to check your answers.
Volume 2
  • Place value. Understanding the effect of multiplying and dividing by 10 and 100.
  • Ordering decimals. Understanding the function of the decimal point. Using
  • Rounding to the nearest thousand, hundred, ten, whole number or tenth.
  • Estimation. Understanding that estimation gives an approximate answer.
  • Negative numbers. Adding and subtracting negative numbers. Simple problems using negative numbers.
  • Patterns. Triangular numbers. Diagrammatic representations of number patterns. Squares and primes. Finding the prime numbers to 100.
  • Multiplication facts. Knowing and using addition, subtraction and multiplication facts. The rules for odd and even numbers.
  • Divisibility. Factors and multiples. Tests for divisibility.
  • Equivalent fractions. Numerator and denominator. Simplifying fractions. Manipulating fractions. Changing fractions into decimal fractions.
  • Ratio and proportion. Understanding the difference between ratio and proportion.
  • Fractions and percentages. Understanding the relationship between fraction, decimals and percentages
  • Addition and subtraction. Mental and written including decimal calculations.
  • Multiplication and division. Mental and written including decimal calculations.
  • Using a calculator.
Volume 3
  • 24 hour time. Converting from 12 to 24 hour time. Moving through midnight.
  • Using timetables. Reading and understanding timetables. Finding duration.
  • World time, date lines and summer time. Understanding the principle of world time and using time difference. Understand the effect of summer or daylight saving time.
  • Working with length, weight and capacity, imperial and metric.
  • Mass and weight. Understanding the difference.
  • Perimeter and area. Calculating perimeter and area of shapes given the length of their sides. Finding the area of a right angle triangle using half base times height.
  • The properties of two dimensional shapes. Understanding irregular 2D shapes.
  • Direction and position. Coordinates in four quadrants. Perpendicular, parallel, diagonal and intersecting lines.
  • Turns and angles. The angles on a straight line add to 180°. The angles in a triangle add to 180°. Equilateral, isosceles and scalene triangles. Rotation through the origin.
  • Measuring and drawing angles accurately. Acute, obtuse and reflex angles.
  • Reflection in one and two mirror lines introducing translation.
  • Three dimensional shapes, cubes and nets of solids.
Volume 4
  • Probability. Understanding certainly, very likely, unlikely and impossible.
  • Using a tally chart and frequency table.
  • Displaying data on bar charts, pie charts line charts and graphs.
  • Interpreting data from a bar chart, pie chart, line0 chart or graph. Finding the mean, median, mode and range of displayed data.
  • Using knowledge of operations and logic to solve puzzles. Strategies for tackling number and shape and space problems.
  • Word and real life problems involving money, time and measures.Strategies for tackling word and real life problems.
  • Tackling tests including QCA questions.