Key Learning in Maths

Number - number and place value

  • Count from 0 in multiples of 4, 8, 50 and 100
  • Count up and down in tenths
  • Read and write numbers up to 1000 in numerals and in words
  • Read and write numbers with one decimal place
  • Identify, represent and estimate numbers using different representations (including the number line)
  • Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)
  • Identify the value of each digit to one decimal place
  • Partition numbers in different ways (e.g. 146 = 100+ 40+6 and 146 = 130+16)
  • Compare and order numbers up to 1000
  • Compare and order numbers with one decimal place
  • Find 1, 10 or 100 more or less than a given number
  • Round numbers to at least 1000 to the nearest 10 or 100
  • Find the effect of multiplying a one- or two-digit number by 10 and 100, identify the value of the digits in the answer
  • Describe and extend number sequences involving counting on or back in different steps
  • Read Roman numerals from I to XII

Solve number problems and practical problems involving these ideas

Number - fractions

  • Show practically or pictorially that a fraction is one whole number divided by another (e.g.  can be interpreted as 3 ÷ 4)
  • Understand that finding a fraction of an amount relates to division
  • Recognise that tenths arise from dividing objects into 10 equal parts and in dividing one-digit numbers or quantities by 10
  • Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
  • Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators
  • Recognise and show, using diagrams, equivalent fractions with small denominators
  • Add and subtract fractions with the same denominator within one whole [for example,  +  = ]
  • Compare and order unit fractions, and fractions with the same denominators (including on a number line)
  • Count on and back in steps of  ,  and

Solve problems that involve all of the above

Number - addition and subtraction

  • Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)
  • Select a mental strategy appropriate for the numbers involved in the calculation
  • Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context
  • Recall/use addition/subtraction facts for 100 (multiples of 5 and 10)
  • Derive and use addition and subtraction facts for 100
  • Derive and use addition and subtraction facts for multiples of 100 totalling 1000
  • Add and subtract numbers mentally, including:

- a three-digit number and ones

- a three-digit number and tens

- a three-digit number and hundreds

  • Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction
  • Estimate the answer to a calculation and use inverse operations to check answers

Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction

Number - multiplication and division

  • Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)
  • Understand that division is the inverse of multiplication and vice versa
  • Understand how multiplication and division statements can be represented using arrays
  • Understand division as sharing and grouping and use each appropriately
  • Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
  • Derive and use doubles of all numbers to 100 and corresponding halves
  • Derive and use doubles of all multiples of 50 to 500
  • Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
  • Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

Solve problems, including missing number problems, involving multiplication and division (and interpreting remainders), including positive integer scaling problems and correspondence problems in which n objects are connected to m objects

Geometry - properties of shapes

  • Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them
  • Recognise angles as a property of shape or a description of a turn
  • Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle

Identify horizontal and vertical lines and pairs of perpendicular and parallel lines

Geometry - position and direction

Describe positions on a square grid labelled with letters and numbers

Statistics

 

  • Use sorting diagrams to compare and sort objects, numbers and common 2-D and 3-D shapes and everyday objects
  • Interpret and present data using bar charts, pictograms and tables

Solve one-step and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables

Measurement

  • Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
  • Continue to estimate and measure temperature to the nearest degree (°C) using thermometers
  • Understand perimeter is a measure of distance around the boundary of a shape
  • Measure the perimeter of simple 2-D shapes
  • Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks
  • Estimate/read time with increasing accuracy to the nearest minute
  • Record/compare time in terms of seconds, minutes, hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon, midnight
  • Know the number of seconds in a minute and the number of days in each month, year and leap year
  • Compare durations of events [for example to calculate the time taken by particular events or tasks]
  • Continue to recognise and use the symbols for pounds (£) and pence (p) and understand that the decimal point separates pounds/pence
  • Recognise that ten 10p coins equal £1 and that each coin is  of £1
  • Add and subtract amounts of money to give change, using both £ and p in practical contexts

Solve problems involving money and measures and simple problems involving passage of time

 

 

 

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