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Lower key stage 2

Year 3

The following ongoing objectives are taught throughout our topics, whenever possible:

Number and place value
  • Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number.
  • Recognise the place value of each digit in a three-digit number (hundreds, tens, ones).
  • Compare and order numbers up to 1000.
  • Identify, represent and estimate numbers using different representations.
  • Read and write numbers up to 1000 in numerals and in words.
  • Solve number problems and practical problems involving these ideas.
Addition and subtraction
  • 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.
Multiplication and division
  • Recall and use multiplication and division facts for the 3x, 4x and 8x multiplication tables.
  • 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.
  • Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.

 

 

The following objectives are taught as topics:

Fractions
  • Count up and down in tenths; recognise that tenths arise from dividing an object 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 (numerator of 1) 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, 5 sevenths + 1 seventh = 6 sevenths.
  • Compare and order unit fractions, and fractions with the same denominators.
  • Solve problems that involve all of the above.

Measurement

  • Measure, compare, add and subtract:
    • lengths (m/cm/mm);
    • mass (kg/g);
    • volume/capacity (l/ml).
  • Measure the perimeter of simple 2-D shapes.
  • Add and subtract amounts of money to give change, using both £ and p in practical contexts.
  • Tell and write the time from:
    • an analogue clock and 12-hour and 24-hour clocks;
    • an analogue clock, including using Roman numerals from I to XII.
  • Estimate and read time with increasing accuracy to the nearest minute.
  • Record and compare time in terms of seconds, minutes and hours
  • Use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and 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.
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
  • 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.

 

 

Year 4

The following ongoing objectives are taught throughout our topics, whenever possible:

Number and place value
  • Count in multiples of 6, 7, 9, 25 and 1000.
  • Find 1000 more or less than a given number.
  • Count backwards through zero to include negative numbers.
  • Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones).
  • Order and compare numbers beyond 1000.
  • Identify, represent and estimate numbers using different representations.
  • Round any number to the nearest 10, 100 or 1000.
  • Solve number and practical problems that involve all of the above and with increasingly large positive numbers.
  • Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.
Addition and subtraction
  • Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate.
  • Estimate and use inverse operations to check answers to a calculation.
  • Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.
Multiplication and division
  • Recall multiplication and division facts for multiplication tables up to 12 x 12.
  • Use place value, known and derived facts to multiply and divide mentally, including:
    • multiplying by 0 and 1;
    • dividing by 1;
    • multiplying together three numbers.
  • Recognise and use factor pairs and commutativity in mental calculations.
  • Multiply two-digit and three-digit numbers by a one-digit number using formal written layout.
  • Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

 

 

The following objectives are taught as topics:

Fractions (including decimals)
  • Recognise and show, using diagrams, families of common equivalent fractions.
  • Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.
  • Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number.
  • Add and subtract fractions with the same denominator.
  • Recognise and write decimal equivalents of any number of tenths or hundredths.
  • Recognise and write decimal equivalents to one quarter, one half, and three quarters.
  • Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths.
  • Round decimals with one decimal place to the nearest whole number.
  • Compare numbers with the same number of decimal places up to two decimal places.
  • Solve simple measure and money problems involving fractions and decimals to two decimal places.

Measurement

  • Convert between different units of measure, for example kilometre to metre; hour to minute.
  • Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres.
  • Find the area of rectilinear shapes by counting squares.
  • Estimate, compare and calculate different measures, including money in pounds and pence.
  • Read, write and convert time between analogue and digital 12- and 24-hour clocks.
  • Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.
Geometry: properties of shapes
  • Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
  • Identify acute and obtuse angles and compare and order angles up to two right angles by size.
  • Identify lines of symmetry in 2-D shapes presented in different orientations.
  • Complete a simple symmetric figure with respect to a specific line of symmetry.
Geometry: position and direction
  • Describe positions on a 2-D grid as coordinates in the first quadrant.
  • Describe movements between positions as translations of a given unit to the left/right and up/down.
  • Plot specified points and draw sides to complete a given polygon.
Statistics
  • Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.
  • Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

 


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