# Block D: Calculating, measuring and understanding shape Unit 1 10 days

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1 1 of 7 The National Strategies Primary Key - Italic text signifies objectives which do not appear in the single-age version of this unit but have been added to create a coherent mixed-age unit - Smaller font indicates objectives which do appear in the single-age version of this unit, but which are addressed elsewhere within the mixed-age units Block D: Calculating, measuring and understanding shape Unit 1 10 days Year 2 Year 3 Year 4 Solve problems involving addition, subtraction, multiplication or division in contexts of numbers, measures or pounds and pence Add or subtract mentally a one-digit number or a multiple of 10 to or from any two-digit number; use practical and informal written methods to add and subtract two-digit numbers Follow and give instructions involving position, direction and movement including time, choosing and carrying out appropriate calculations Add or subtract mentally combinations of one-digit and two-digit numbers Find unit fractions of numbers and quantities (e.g. 1 / 2, 1 / 3, 1 / 4 and 1 / 6 of 12 litres) Read and record the vocabulary of position, direction and movement, using the four compass directions to describe movement about a grid including time; choose and carry out appropriate calculations, using calculator methods where appropriate Add or subtract mentally pairs of two-digit whole numbers (e.g , 91-35) Recognise horizontal and vertical lines; use the eight compass points to describe direction; describe and identify the position of a square on a grid of squares

2 2 of 7 The National Strategies Primary Estimate, compare and measure lengths, weights and capacities, choosing and using standard units (m, cm, kg, litre) and suitable measuring instruments Read the numbered divisions on a scale, and interpret the divisions between them (e.g. on a scale from 0 to 25 with intervals of 1 shown but only the divisions 0, 5, 10, 15 and 20 numbered); use a ruler to draw and measure lines to the nearest centimetre Use units of time (seconds, minutes, hours, days) and know the relationships between them; read the time to the quarter hour; identify time intervals, including those that cross the hour Know the relationships between kilometres and metres, metres and centimetres, kilograms and grams, litres and millilitres; choose and use appropriate units to estimate, measure and record measurements Read, to the nearest division and halfdivision, scales that are numbered or partially numbered; use the information to measure and draw to a suitable degree of accuracy Read the time on a 12-hour digital clock and to the nearest 5 minutes on an analogue clock; calculate time intervals and find start or end times for a given time interval Choose and use standard metric units and their abbreviations when estimating, measuring and recording length, weight and capacity; know the meaning of 'kilo', 'centi' and 'milli' and, where appropriate, use decimal notation to record measurements (e.g. 1.3m or 0.6kg) Interpret intervals and divisions on partially numbered scales and record readings accurately, where appropriate to the nearest tenth of a unit Read time to the nearest minute; use am, pm and 12-hour clock notation; choose units of time to measure time intervals; calculate time intervals from clocks and timetables

3 3 of 7 The National Strategies Primary Block D: Calculating, measuring and understanding shape Unit 2 10 days Year 2 Year 3 Year 4 Solve problems involving addition, subtraction, multiplication or division in contexts of numbers, measures or pounds and pence Derive and recall multiplication facts for the 2, 5 and 10 times-tables and the related division facts; recognise multiples of 2, 5 and 10 Add or subtract mentally a one-digit number or a multiple of 10 to or from any two-digit number; use practical and informal written methods to add and subtract two-digit numbers including time, choosing and carrying out appropriate calculations Represent the information in a puzzle or problem using numbers, images or diagrams; use these to find a solution and present it in context, where appropriate using.p notation or units of measure Derive and recall multiplication facts for the 2, 3, 4, 5, 6 and 10 times-tables and the corresponding division facts; recognise multiples of 2, 5 or 10 up to 1000 Add or subtract mentally combinations of one-digit and two-digit numbers Develop and use written methods to record, support or explain addition and subtraction including time; choose and carry out appropriate calculations, using calculator methods where appropriate Use decimal notation for tenths and hundredths and partition decimals; relate the notation to money and measurement; position one-place and two-place decimals on a number line Derive and recall multiplication facts up to 10 10, the corresponding division facts and multiples of numbers to 10 up to the tenth multiple Refine and use efficient written methods to add and subtract two-digit and three-digit whole numbers and.p

4 4 of 7 The National Strategies Primary Use the symbols +, -,, and = to record and interpret number sentences involving all four operations; calculate the value of an unknown in a number sentence (e.g. 2 = 6, 30 - = 24) Represent repeated addition and arrays as multiplication, and sharing and repeated subtraction (grouping) as division; use practical and informal written methods and related vocabulary to support multiplication and division, including calculations with remainders Recognise and use whole, half and quarter turns, both clockwise and anticlockwise; know that a right angle represents a quarter turn Follow and give instructions involving position, direction and movement of two-digit and three-digit numbers Use practical and informal written methods to multiply and divide two-digit numbers (e.g. 13 3, 50 4); round remainders up or down, depending on the context Find unit fractions of numbers and quantities (e.g. 1 / 2, 1 / 3, 1 / 4 and 1 / 6 of 12 litres) Use a set-square to draw right angles and to identify right angles in 2-D shapes; compare angles with a right angle; recognise that a straight line is equivalent to two right angles Read and record the vocabulary of position, direction and movement, using the four compass directions to describe movement about a grid Draw and complete shapes with reflective symmetry; draw the reflection of a shape in a mirror line along one side Develop and use written methods to record, support and explain multiplication and division of two-digit numbers by a one-digit number, including division with remainders (e.g. 15 9, 98 6) Know that angles are measured in degrees and that one whole turn is 360 ; compare and order angles less than 180 Recognise horizontal and vertical lines; use the eight compass points to describe direction; describe and identify the position of a square on a grid of squares

5 5 of 7 The National Strategies Primary Estimate, compare and measure lengths, weights and capacities, choosing and using standard units (m, cm, kg, litre) and suitable measuring instruments Read the numbered divisions on a scale, and interpret the divisions between them (e.g. on a scale from 0 to 25 with intervals of 1 shown but only the divisions 0, 5, 10, 15 and 20 numbered); use a ruler to draw and measure lines to the nearest centimetre Use units of time (seconds, minutes, hours, days) and know the relationships between them; read the time to the quarter hour; identify time intervals, including those that cross the hour Know the relationships between kilometres and metres, metres and centimetres, kilograms and grams, litres and millilitres; choose and use appropriate units to estimate, measure and record measurements Read, to the nearest division and halfdivision, scales that are numbered or partially numbered; use the information to measure and draw to a suitable degree of accuracy Choose and use standard metric units and their abbreviations when estimating, measuring and recording length, weight and capacity; know the meaning of 'kilo', 'centi' and 'milli' and, where appropriate, use decimal notation to record measurements (e.g. 1.3m or 0.6kg) Interpret intervals and divisions on partially numbered scales and record readings accurately, where appropriate to the nearest tenth of a unit Draw rectangles and measure and calculate their perimeters; find the area of rectilinear shapes drawn on a square grid by counting squares

6 6 of 7 The National Strategies Primary Block D: Calculating, measuring and understanding shape Unit 3 10 days Year 2 Year 3 Year 4 Solve problems involving addition, subtraction, multiplication or division in contexts of numbers, measures or.p Add or subtract mentally a one-digit number or a multiple of 10 to or from any two-digit number; use practical and informal written methods to add and subtract two-digit numbers including time, choosing and carrying out appropriate calculations Use knowledge of number operations and corresponding inverses, including doubling and halving, to estimate and check calculations Develop and use written methods to record, support or explain addition and subtraction of two-digit and three-digit numbers Use practical and informal written methods to multiply and divide two-digit numbers (e.g. 13 3, 50 4); round remainders up or down, depending on the context Understand that division is the inverse of multiplication and vice versa; use this to derive and including time; choose and carry out appropriate calculations, using calculator methods where appropriate Use decimal notation for tenths and hundredths and partition decimals; relate the notation to money and measurement; position one-place and two-place decimals on a number line Refine and use efficient written methods to add and subtract two-digit and three-digit whole numbers and.p

7 7 of 7 The National Strategies Primary record related multiplication and division number sentences Recognise and use whole, half and quarter turns, both clockwise and anticlockwise; know that a right angle represents a quarter turn Estimate, compare and measure lengths, weights and capacities, choosing and using standard units (m, cm, kg, litre) and suitable measuring instruments Read the numbered divisions on a scale, and interpret the divisions between them (e.g. on a scale from 0 to 25 with intervals of 1 shown but only the divisions 0, 5, 10, 15 and 20 numbered); use a ruler to draw and measure lines to the nearest centimetre Use units of time (seconds, minutes, hours, days) and know the relationships between them; read the time to the quarter hour; identify time intervals, including those that cross the hour Use a set-square to draw right angles and to identify right angles in 2-D shapes; compare angles with a right angle; recognise that a straight line is equivalent to two right angles Know the relationships between kilometres and metres, metres and centimetres, kilograms and grams, litres and millilitres; choose and use appropriate units to estimate, measure and record measurements Read, to the nearest division and halfdivision, scales that are numbered or partially numbered; use the information to measure and draw to a suitable degree of accuracy Read the time on a 12-hour digital clock and to the nearest 5 minutes on an analogue clock; calculate time intervals and find start or end times for a given time interval Know that angles are measured in degrees and that one whole turn is 360 ; compare and order angles less than 180 Choose and use standard metric units and their abbreviations when estimating, measuring and recording length, weight and capacity; know the meaning of 'kilo', 'centi' and 'milli' and, where appropriate, use decimal notation to record measurements (e.g. 1.3m or 0.6kg) Interpret intervals and divisions on partially numbered scales and record readings accurately, where appropriate to the nearest tenth of a unit Read time to the nearest minute; use am, pm and 12-hour clock notation; choose units of time to measure time intervals; calculate time intervals from clocks and timetables Draw rectangles and measure and calculate their perimeters; find the area of rectilinear shapes drawn on a square grid by counting squares

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