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Maths Tuition – Part 2

More Numbers and Calculations

Links to other parts of Maths programme

Part 1  Part 3  Part 4

Volume 1
  • Counting past 100. Using number lines and number squares. Counting on and back in ones, tens and hundreds.
  • Sequences. Finding the rule for sequences for two digit numbers.
  • Ordering numbers. Ordinal and cardinal numbers. Smallest to largest and largest to smallest.
  • Place value. Understanding the value of a digit according to its position in a number. Using money to introduce decimal notation. Partitioning of numbers into hundreds, tens and units.
  • Numbers as words. Words to one thousand.
  • Using number facts. Reviewing the addition and subtraction facts using the digits 0 to 9. Understanding the relationship between addition and subtraction.
  • Ways to add and subtract to 1000. Using partitioning, looping and hopping along a number line.
  • Writing down addition and subtraction.
  • Moving to formal written addition and subtraction.
  • Times tables. x 2, x 5 and x 10, x 3 and x 4. Understand the relationship between multiplication and division. Commutative law in multiplication. Multiplication and division by 10.
  • Fractions. Halves, quarters and tenths. Ordering fractions. Simple equivalence.
  • Estimating and rounding. Making simple estimates. Rounding to the nearest ten.
  • Using estimating and rounding.
Volume 2
  • Count and order numbers to 1000. Using less than (<) and greater than (>) to order numbers.
  • Estimating and rounding. Use rounding to find approximate answers.
  • Add and subtract whole tens, hundreds and thousands.
  • Multiply and divide using 10. Understand that numbers get ten times larger or smaller.
  • Negative numbers. Counting on and back through zero. Ordering numbers including negative numbers.
  • Develop mental and written methods to add and subtract numbers to 10 000.
  • Use standard written method for addition and subtraction to 100.
  • Add and subtract money. Begin to work with decimal notation.
  • x 6 and x 9, x 7 and x 8. Explore mental multiplication and division using halving and doubling
  • Writing multiplication and division down. The grids method and subtraction or chunking.
  • Fractions. Introducing thirds, sixths and eights. Ordering and equivalence.
  • Decimals. Understanding tenths and hundredths. Writing decimal numbers as words.
  • Estimating and rounding. Use estimation to solve problems
Volume 3
  • Estimating time. Choosing appropriate units to measure duration.
  • Days of the months. The structure of the year. Understanding leap year.
  • Clocks Digital and analogue time. Telling the time in hours and minutes.
  • Timetables and calendars. Reading and interpreting a timetable. Reading a calendar.
  • Length. Understanding and using millimetre, centimetre and metre.Inch, foot, yard and mile.
  • Mass. Understanding and using gram and kilogram. Pounds and ounces.
  • Capacity. Understanding and using millilitre and litre. Pints and gallons.
  • Accurate measuring. Understanding the importance of measuring accurately and using a ruler.
  • Perimeter. Understanding that perimeter is the distance around a shape and measuring accurately.
  • Area. Understanding that area is the bounded by the perimeter of a shape and measuring accurately.
  • Two dimensional shapes. Rectangles and triangles and the names and properties of special cases.
  • Using Carroll diagrams to sort 2D shapes. Quadrilateral, Pentagon, Hexagon and Octagon.
  • Circles. The vocabulary of the circle. Radius, diameter, circumference.
  • Three dimensional shape. Naming solids. Identifying and sorting solids by their properties. Faces, edges and vertices.
  • Nets of simple solids. Building complex shapes form simple solids.
  • Symmetry. Finding lines of symmetry. Matching two halves of symmetrical shapes.
  • Creating patterns using rotation and reflection.
  • Turns and angles. Understanding quarter and half turns. Measuring basic angles using a set square. Measuring angles using degrees.
  • Directions. Using compass directions. Position. Simple coordinates.
Volume 4
  • Tables and bar charts. Creating frequency tables and bar charts.
  • Tally charts and pictograms. Collecting data on a tally chart. Making a pictogram. Using symbols to represent data.
  • Reading tables. Interpreting pictograms, bar charts and data collection sheets.
  • Venn and Carroll diagrams.
  • Solving puzzles. Using an understanding of numbers and operations to solve number problems. Using logic. Breaking down a problem into simple steps.
  • Word and real life problems involving money, time and measures.
  • Tackling tests including QCA questions.