Mathematical Activity New National Curriculum References – Taken from MTP To find out about a farmers market – analysing questionnaire data, including start and finish times. M25. to collect and structure information using ICT so that it can be searched and analysed, including using appropriate field headings and data M26. to use frequency diagrams and bar charts to represent and record information M27. to interpret their own and others' data Block D and E Objectives Year 3 Block D and E objectives Year 4 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 Solve one-step and two-step problems involving numbers, money or measures, including time; choose and carry out appropriate calculations, using calculator methods where appropriate Follow a line of enquiry by deciding what information is important; make and use lists, tables and graphs to organise and interpret the information 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 Solve one–step and two–step problems involving numbers, money or measures, including time, choosing and carrying out appropriate calculations Draw rectangles and measure and calculate their perimeters; find the area of rectilinear shapes drawn on a square grid by counting squares 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 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 Read and record the vocabulary of position, direction and movement, using the four compass directions to describe movement about a grid Recognise the equivalence between decimal and fraction forms of one half, quarters, tenths and hundredths NC ELL 3 Num: use mathematics to justify and support decisions and proposals, communicating accurately using mathematical language and conventions, symbols and diagrams. To plan their own vegetable patch mapping out where they will plant certain plants. Research what people want to spend their money on. How can they influence this. Design a questionnaire, collect the data and analyse. M10. to understand division as grouping and as sharing and solve division problems using multiplication facts M16. to use standard units to estimate measures and to measure with appropriate accuracy M21. to make simple scaling of objects and draw M23. to understand perimeter as a length and to find the perimeter of rectangles and other shapes. M25. to collect and structure information using ICT so that it can be searched and analysed, including using appropriate field headings and data M26. to use frequency diagrams and bar charts to represent and record information M27. to interpret their own and others' data NC ELL 3 Num: use mathematics to justify and support decisions and proposals, communicating accurately using mathematical language and conventions, symbols and diagrams. 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 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 Follow a line of enquiry by deciding what information is important; make and use lists, tables and graphs to organise and interpret the information Designing and making craft items – use of measurements to establish how much raw materials they will need as well as the size of the finished object. Design and make packaging to hold their items – nets of 3D shapes. 2D shape – faces. Scale up a recipe and make them. M10. to understand division as grouping and as sharing and solve division problems using multiplication facts M12. to use estimation to find approximate answers to calculations, to record calculations and check answers and methods M16. to use standard units to estimate measures and to measure with appropriate accuracy M23. to understand perimeter as a length and to find the perimeter of rectangles and other shapes. M16. to use standard units to estimate measures and to measure with appropriate accuracy M21. to make simple scaling of objects and draw M23. to understand perimeter as a length and to find the perimeter of rectangles and other shapes. M6. to compare two numbers by finding the difference between themselves M16. to use standard units to estimate measures and to measure with appropriate accuracy 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 Solve one-step and two-step problems involving numbers, money or measures, including time; choose and carry out appropriate calculations, using calculator methods where appropriate Draw rectangles and measure and calculate their perimeters; find the area of rectilinear shapes drawn on a square grid by counting squares 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 Solve one-step and two-step problems involving numbers, money or measures, including time; choose and carry out appropriate calculations, using calculator methods where appropriate 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 of two–digit and three–digit numbers Derive and recall multiplication facts up to 10 × 10, the corresponding division facts and multiples of numbers to 10 up to the tenth multiple 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 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 Read, to the nearest division and half–division, 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. 1.3 m or 0.6 kg) Read and write proper fractions (e.g.3/7,9/10), interpreting the denominator as the parts of a whole and the numerator as the number of parts; identify and estimate fractions of shapes; use diagrams to compare fractions and establish equivalents Find unit fractions of numbers and quantities (e.g. 1/2, 1/3, 1/4 and 1/6 of 12 litres) Represent a puzzle or problem using number sentences, statements or diagrams; use these to solve the problem; present and interpret the solution in the context of the problem Recognise the equivalence between decimal and fraction forms of one half, quarters, tenths and hundredths Find fractions of numbers, quantities or shapes (e.g. 1/5 of 30 plums, 3/8 of a 6 Pricing of items. Working out the cost to making the items and then considering a profit, percentage mark up for HA. M10. to understand division as grouping and as sharing and solve division problems using multiplication facts M12. to use estimation to find approximate answers to calculations, to record calculations and check answers and methods M14. how to handle amounts of money in the contexts of shopping, saving up and enterprise activities Solve one–step and two–step problems involving numbers, money or measures, including time, choosing and carrying out appropriate calculations Add or subtract mentally combinations of one–digit and two–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 NC ELL 3 Num: use mathematics to justify and support decisions and proposals, communicating accurately using mathematical language and conventions, symbols and diagrams. Make a scale model of the farmers market deciding where things will be laid out. Run their own stall handling money. Introduce concept of a float and then what to do at the end to work out their takings. Budget spreadsheet calculating initial costs and estimating their future profits. M6. to compare two numbers by finding the difference between themselves M16. to use standard units to estimate measures and to measure with appropriate accuracy M21. to make simple scaling of objects and draw NC ELL 3 Num: use mathematics to justify and support decisions and proposals, communicating accurately using mathematical language and conventions, symbols and diagrams. M6. to compare two numbers by finding the difference between themselves M9. to select from a range of mental strategies for the addition and subtraction of numbers with two significant figures M14. how to handle amounts of money in the contexts of shopping, saving up and enterprise activities M4. to approximate numbers, including rounding , and understand when that can be used. M12. to use estimation to find approximate answers to calculations, to record calculations and check answers and methods M14. how to handle amounts of money in the by 4 rectangle) Refine and use efficient written methods to add and subtract two-digit and three-digit whole numbers and £.p Add or subtract mentally combinations of one–digit and two–digit numbers 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 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 Add or subtract mentally combinations of one–digit and two–digit numbers Derive and recall all addition and subtraction facts for each number to 20, sums and differences of multiples of 10 and number pairs that total 100 (end of year objective) Solve one–step and two–step problems involving numbers, money or measures, including time, choosing and carrying out appropriate calculations 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) 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 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. 1.3 m or 0.6 kg) Recognise the equivalence between decimal and fraction forms of one half, quarters, tenths and hundredths Solve one-step and two-step problems involving numbers, money or measures, including time; choose and carry out appropriate calculations, using calculator methods where appropriate. Represent a puzzle or problem using number sentences, statements or diagrams; use these to solve the problem; present and interpret the solution in the context of the problem Add or subtract mentally pairs of two-digit whole numbers (e.g. 47 + 58, 91 − 35) 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 Solve one-step and two-step problems involving numbers, money or measures, including time; choose and carry out appropriate calculations, using calculator methods where appropriate 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 Refine and use efficient written methods to add and subtract two-digit and three-digit whole numbers and £.p Add or subtract mentally combinations of one–digit and two–digit numbers Use decimal notation for tenths and hundredths and partition decimals; relate contexts of shopping, saving up and enterprise activities NC ELL 3 Num: use mathematics to justify and support decisions and proposals, communicating accurately using mathematical language and conventions, symbols and diagrams. the notation to money and measurement; position one-place and two-place decimals on a number line Represent a puzzle or problem using number sentences, statements or diagrams; use these to solve the problem; present and interpret the solution in the context of the problem