Mathematics Medium Term Overview: Year 2

Transcription

1 Mathematics Medium Term Overview: Year 2 T1 Week 1 Place Value 10s and 1s T1 Week 2 Place value T1 Week 3 Fractions- whole part relationships T1 Week 4 Fraction - progression T1 Week 5 Mental Calculation Strategies for addition and subtraction T1 Week 6 Working towards written method for subtraction. T1 Week 7 Working towards written method for subtraction. T1 Week 8 Assessment, reinforcement, rehearsal etc. of what has been covered so far T2 Week 1 Mental Strategies for Multiplication T2 Week 2 Use grouping for multiplication T2 Week 3 Arrays for division T2 Week 4 Linking division and fractions T2 Week 5 Repeated subtraction. Link to doubling and fractions T2 Week 6 2D Shape T2 Week 7 3D Shape T2 Week 8 Assessment, reinforcement, rehearsal etc. of what has been covered so far T3 Week 1 Place Value as in term 1 including partitioning numbers T3 Week 2 Continue place value and make links to measures T3 Week 3 Fractions, Equivalences T3 Week 4 Mental calculation strategies as in Term 1 and make links to measurement T3 Week 5 Reinforce and rehearse written calculation methods for addition T3 Week 6 Reinforcing and rehearse written calculation methods for subtraction T3 Week 7 subtraction within contexts T3 Week 8 Assessment, reinforcement, rehearsal etc. of what has been covered so far T4 Week 1 Mental Calculation as in term 2 within contexts T4 Week 2 Mental Calculation T4 Week 3 Reinforce and rehearse Term 2 - Written methods for multiplication T4 Week 4 Repeated subtraction as in term 2 T4 Week 5 2D shape T4 Week 6 3D shape T4 Week 7 Position, direction and movement- Rotation of right angles T4 Week 8 Assessment, reinforcement, rehearsal etc. of what has been covered so far T5 Week 1 Place Value as in Term 1 and Term 3 SATS Revision T5 Week 2 Continue place value and make links to measures SATS Revision T5 Week 3 Fractions, Addition and subtraction SATS T5 Week 4 mental calculation SATS T5 Week 5 written method for addition within context T5 Week 6 written method for subtraction within contexts T5 Week 7 subtraction within contexts T5 Week 8 Assessment, reinforcement, rehearsal etc. of what has been covered so far T6 Week 1 mental calculation strategies as Terms 2 and 4 T6 Week 2 mental calculation strategies as Terms 2 and 4 T6 Week 3 written calculation T6 Week 4 written calculation T6 Week 5 repeated addition and subtraction T6 Week 6 2D shape including problem solving T6 Week 7 3D shape including problem solving T6 Week 8 Assessment, reinforcement, rehearsal etc. of what has been covered so far

2 Mathematics Medium Term Overview: Year 2 Four main areas: Reasoning and Mastery of Number Reasoning and Mastery of Addition and Subtraction Reasoning and Mastery of Multiplication and Division Reasoning and Mastery of Geometry Fractions, Statistics and Measurement are all integrated within these four main blocks These are highlighted in Red and are essential that they are taught in that week to ensure coverage. These elements will be monitored to ensure they happen in these weeks. Overall Weekly outcome Context to be used during week Must happen where shown Year group areas to show accelerated learning Needs to happen where shown Enrichment activities for children at enrichment stage

3 Year 2 Medium Term Overview Focus Areas for Development Identify, represent and estimate numbers to 100 using representations, including the number line and partitioning in ways Add and subtract amounts of money to give change, recording and p separately Solve number problems with number facts from the year 2 curriculum Term 1 Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Reasoning and Mastery of Number Reasoning and Mastery of Addition and Subtraction Vocabulary: Part, equal parts, one whole, one third, half, halves, quarter, Vocabulary: Add, addition, more, plus, make, sum, total, altogether, more three quarter, equivalent, fraction, numerator, denominator, compare, order, Subtract, subtraction, take away minus, less, left, left over, difference more, less, smallest, greatest, length, long, longer, longest, distance, furthest, between, partition, bridge, tens boundary. width, depth, mass, weight, weighs, scales, gram, kilogram, half-kilogram, litre, millilitre, heavy, heavier, heaviest, light, lighter, lightest, balance, capacity, volume, scale, container, hold, contain, empty, vessels, full, half full, order, compare, less, more, least, greatest, height, short, shorter, shortest, tall, taller, tallest, size, metre, centimetre, ruler, metre stick, tape measure, estimate, thermometer, temperature, measuring scale. Finding the place value of two-digit numbers, number bonds to 10 and 20, spotting number patterns, reading and writing numbers to 100, counting in ones to 100 forwards and backwards, counting on or back in tens and finding the fraction of a given number. Addition and subtraction facts to 10 and 20, adding and subtracting a two-digit number and 1s, a two-digit number and 10s, 2 two-digit numbers and adding 3 onedigit numbers and using inverse to solve missing number problems.

4 Place Value 10s and 1s Place Value Grids & Digit cards Zero as place holder To recognise the place value of each digit in a 2 digit number (tens, ones) Use dienes to make tens and ones practically and put photograph in book. Link to measurementpractical activities with mass capacity & vice versa To compare and order numbers from 0 up to 100; use <, > and = signs. Ordering and comparing, Greater than, less than, equals (using symbols as described in plan), rounding Link to mass and capacity Year 2 Medium Term Overview Fractions Whole part relationships (birds and faces), link to division. Focus on finding the halves and quarters of a length, shape, set of objects or quantity Take each fraction one at a time and explore that fraction of numbers, quantities and shapes (where shapes have fractions shown that are not the same shape) at the same time. Children to fold shapes in halves and quarters and stick in book. Problem solving using bar model throughout Fractions Recap halves and quarters and focus on finding thirds of a length, shape, set of objects or quantity Problem solving using bar model throughout Recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity. Mental Calculation To group numbers efficiently using near 10s and mental partitioning To explore a range of strategies to solve mental calculations Partitioning, sequencing, doubling, halving, near doubles, number pairs, multiples of 10 and adjusting, using known number facts, bridging through 10, counting on and counting back Time differences and durations. Bar charts and pictograms. Missing number problems. Working towards the written method for subtraction. To focus on 2 digit numbers + ones, 2-digit numbers + 10s, working towards the written method Use subtraction as a check for each time discuss commutativity, e.g = , same answer calculation Record horizontally. Use dienes and money (10p and 1p) to help develop a conceptual Working towards written method for subtraction. To focus on 2- digit -ones, 2-digit -10s, working towards the written method Use addition as a check and discuss (using dienes) the fact that subtraction isn t commutative. Use dienes and money (10p and 1p) to help develop conceptual understandin g Reinforcing and picking up on what hasn t been covered in previous two weeks. Teaching the two in the same week to ensure that the children see the links between them. Within contexts

5 Year 2 Medium Term Overview Recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity. Look at equivalences between halves, and quarters. understanding. Links to measure measuring strips of paper and finding differences Bar modelling to make links between + and - Introduce the idea of exchange. Link to measure measuring strips of paper and finding differences Bar modelling to make links between + and

6 Year 2 Medium Term Overview Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Term 2 Reasoning and Mastery of Multiplication and Division Vocabulary: Lots of, groups of, times, odd, even, multiply, multiplied by, multiple of double, halve, repeated addition, array, divide,, divided by, groups, share, share equally, equal groups of, left, left over. Recall doubles and halves to 20, count in steps of 2, 3, 5 and 10, recognise odd and even numbers, recall multiplication and division facts for 2, 3, 5 and 10. Reasoning and Mastery of Geometry Vocabulary: 2D Shapes, star, rectangle, triangle, square, circle, pentagon, hexagon, octagon, polygon, quadrilateral, flat, curved, straight 3D Shapes, cuboid, cube, cone, cylinder, pyramid, sphere, prism, edges, faces, vertices, sort, line of symmetry, symmetrical, mirror line, vertical, reflection, fold, match, regular, irregular, pattern, repeating pattern. Recognise and name 2D shape and 3D shapes, describe properties of 2D/3D shapes, identify the line of symmetry in shapes, shape patterns and describing position direction and movement.

7 Mental calculation strategies To focus on multiplication facts for 2, 5 and 10 and explore commutatively Doubling and halving, using known facts from tables, multiplying and dividing by ten: digits 10 times bigger or smaller Look at commutativity : same answer, calculation, so that children begin to understand that is they know 7 x 5 = 35 they also know that 5 x 7 = 35. Do this for all tables facts. Arrays for multiplication: grouping model To focus on repeated addition practically making arrays Focus on single digit x single digit arrays. Use ones cubes and pennies, exchanging ten ones for a ten. Record horizontally Commutativity Problem solving related to multipllication Year 2 Medium Term Overview Arrays for division: Grouping model To focus on repeated subtraction practically making arrays Explore the arrays with answers to multiplication tables they need to know, e.g. array of 18 counters set out in rows of 2, 18 2 = 9 and then the other way round, 18 9 = 2 Linking division and fractions: sharing model To focus on sharing between 2, 5 and 10 practically using concrete objects What is and what is the same about this and grouping? When doing this link to, for example 20, ½ = 10, 1/5 = 4, 2/5 = 8 etc. and 1/10 = 2, 2/10 = 4 etc. Problem solving related to division Repeated subtraction. Link to doubling and fractions. To solve simple problems relating to subtraction Work within the context of measure half as much, 4 times as much, a quarter of the size etc. 2D shape To compare, classify and draw shapes according to properties, To use drawings on paper and begin with three sided shapes, all are triangles and repeat for other shapes Look at equilateral triangle as regular. Repeat this with rectangles: four sides and four right angles. Square is regular. Repeat for pentagons and hexagons. Sorting activities including Venn and Carroll diagrams. 3D shape: To use plasticine to make sphere, cube, cuboid. Exploring what doing to get each new shape. Discuss their properties including naming face shapes. Explore cones, cylinders, pyramids and triangular prisms exploring their properties. Cones have a face, curved surface and apex. Sorting activities Reinforcing and picking up on what hasn t been covered in previous two weeks.

8 Year 2 Medium Term Overview including Venn and Carroll diagrams.

9 Year 2 Medium Term Overview Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Reasoning and Mastery of Number Reasoning and Mastery of Addition and Subtraction Term 3 Vocabulary: Part, equal parts, one whole, one third, half, halves, quarter, three quarter, equivalent, fraction, numerator, denominator, compare, order, more, less, smallest, greatest, length, long, longer, longest, distance, furthest, width, depth, mass, weight, weighs, scales, gram, kilogram, half-kilogram, litre, millilitre, heavy, heavier, heaviest, light, lighter, lightest, balance, capacity, volume, scale, container, hold, contain, empty, vessels, full, half full, order, compare, less, more, least, greatest, height, short, shorter, shortest, tall, taller, tallest, size, metre, centimetre, ruler, metre stick, tape measure, estimate, thermometer, temperature, measuring scale. Vocabulary: Add, addition, more, plus, make, sum, total, altogether, more Subtract, subtraction, take away minus, less, left, left over, difference between, partition, bridge, tens boundary. Addition and subtraction facts to 10 and 20, adding and subtracting a two-digit number and 1s, a two-digit number and 10s, 2 two-digit numbers and adding 3 one-digit numbers and using inverse to solve missing number problems. Finding the place value of two-digit numbers, number bonds to 10 and 20, spotting number patterns, reading and writing numbers to 100, counting in ones to 100 forwards and backwards, counting on or back in tens and finding the fraction of a given number.

10 Place Value as in term 1. Number facts and comparison Compare and order numbers up to 100 in representation s using symbols < > = Use number bonds to deepen understanding of place value and solve problems. Explore making same amount in combinations of tens and ones using dienes.. For example, 4 tens + 5 ones 3 tens + 15 ones. Place value problems and representations To represent numbers in order using number lines to solve real life problems Continuation of previous week, practically, within context of mass, capacity and volume Focus on measuring length in metres and centimetres. Get children to compare the length of lines. Resources- ruler, measuring stick, string, tape measure. Year 2 Medium Term Overview Fractions of (shape, quantities, money, numbers) Find simple fractions, or discrete and continuous quantities using unit and leading onto non-unit fractions leading to ¾ For example 1/2 of 6 = 3. Focus on finding ¾. Children to colour fractions to show ½, 1/3, ¾, 2/3. Equivalences between whole, ½ and ¼ using strips of paper Explore thirds in a similar way Problem solving with fractions using the bar model Mental calculation of time difference and money difference strategies as in Term 1, To find difference in money and time comparing sequence of time and amounts of money using and p Focus on telling and writing the time to quarter past/to the hour and draw the hands on a clock face to show these times Know the number of minutes in an hour and the number of hours in a day Consolidate addition of 2- digit + ones, 2- digit + 10s using CPA Focus on adding 2-digit + 2-digit numbers using number line/ with basic links to column method. Use of estimation Continue to develop the concept of exchange through manipulaitves Link to money, frequency tables, bar charts and pictograms (use these as a starting point) Use these over the two week block where appropriate Consolidate subtraction of 2-digit ones, 2-digit 10s using CPD Focus on subtracting 2- digit - 2-digit numbers using number line Continue to develop the concept of exchange Link to money, frequency tables, bar charts and pictograms (use these as a starting point)) Reinforcing and picking up on what hasn t been covered in previous two weeks. Teaching the two in the same week to ensure that the children see the links between them. Within contexts Assessment, reinforcement, rehearsal etc. of what has been covered so far

11 Link place value practically to money and length Children to recognise the value of coins and use this to count coins e.g. counting in tens and ones. Year 2 Medium Term Overview To add two 2 digit numbers To subtract two 2 digit numbers Solving missing number problems.

12 Year 2 Medium Term Overview Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Reasoning and Mastery of Multiplication and Division Reasoning and Mastery of Geometry Term 4 Vocabulary: Lots of, groups of, times, odd, even, multiply, multiplied by, multiple of double, halve, repeated addition, array, divide,, divided by, groups, share, share equally, equal groups of, left, left over. Recall doubles and halves to 20, count in steps of 2, 3, 5 and 10, recognise odd and even numbers, recall multiplication and division facts for 2, 3, 5 and 10. Vocabulary: 2D Shapes, star, rectangle, triangle, square, circle, pentagon, hexagon, octagon, polygon, quadrilateral, flat, curved, straight 3D Shapes, cuboid, cube, cone, cylinder, pyramid, sphere, prism, edges, faces, vertices, sort, line of symmetry, symmetrical, mirror line, vertical, reflection, fold, match, regular, irregular, pattern, repeating pattern. Recognise and name 2D shape and 3D shapes, describe properties of 2D/3D shapes, identify the line of symmetry in shapes, shape patterns and describing position direction and movement.

13 Mental Calculation as in term 2 in contexts To focus on multiplying by 5 by multiplying by 10 and halving using mental strategies Ensure the children understand the relationship between 5 and 10 Begin to represent multiplication facts on a number line Link this practically to money and length Introduce the 3x table by counting in steps of three, linking to commutativity To explore odd and even numbers using practically using numicon and other concrete objects Explore what happens when you add two even numbers, two odd numbers, an even and an odd number. Explore multiplying an even and then an odd number by 2, 5 and 10. Can they make generalisations? Do all this with Numicon. Year 2 Medium Term Overview Reinforce and rehearse Term 2 arrays for single digit by single digit. Include 3 as the multiplier. To focus on 2- digit x single digit using arrays including 3 as a mulitplier and use division as a check for multiplication Statisticspictograms and bar graphs with symbols and divisions with multiples of 2, 5 and 10 etc. Interpret and construct pictograms, tally charts and block diagrams. Repeated subtraction as in term 2 within the context of measures. To recognise the inverse relationship between subtraction and solve problems Select those measures that have been covered less often than others 2D shape To explore symmetry on 2D regular and irregular shapes. Making symmetrical patterns across horizontal, vertical and diagonal mirror lines. Numicon is good for this. Identifying right angles in the environment and on the shapes they have explored Again sorting activities using Venn and Carroll diagrams 3D shape To focus on making shapes using polydron type apparatus.. Exploring boxes to see if they can make them out of card. Using a cuboid, cube, pyramid or triangular prism, give opportunities to make one out of card. Sorting activities including Venn and Carroll diagrams. Practical exploration of rotation as a turn in terms of right angles. To focus on quarter, half and three quarter practically. Link to fractions as the children make turns in clockwise and anticlockwise directions. Reinforcing and picking up on what hasn t been covered in previous two weeks.

14 Look at number patterns of sequences of 2, 3, 5 and 10. Year 2 Medium Term Overview

15 Year 2 Medium Term Overview Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Reasoning and Mastery of Number Reasoning and Mastery of Addition and Subtraction Term 5 Vocabulary: Part, equal parts, one whole, one third, half, halves, quarter, three quarter, equivalent, fraction, numerator, denominator, compare, order, more, less, smallest, greatest, length, long, longer, longest, distance, furthest, width, depth, mass, weight, weighs, scales, gram, kilogram, half-kilogram, litre, millilitre, heavy, heavier, heaviest, light, lighter, lightest, balance, capacity, volume, scale, container, hold, contain, empty, vessels, full, half full, order, compare, less, more, least, greatest, height, short, shorter, shortest, tall, taller, tallest, size, metre, centimetre, ruler, metre stick, tape measure, estimate, thermometer, temperature, measuring scale. Vocabulary: Add, addition, more, plus, make, sum, total, altogether, more Subtract, subtraction, take away minus, less, left, left over, difference between, partition, bridge, tens boundary. Addition and subtraction facts to 10 and 20, adding and subtracting a two-digit number and 1s, a two-digit number and 10s, 2 two-digit numbers and adding 3 one-digit numbers and using inverse to solve missing number problems. Finding the place value of two-digit numbers, number bonds to 10 and 20, spotting number patterns, reading and writing numbers to 100, counting in ones to 100 forwards and backwards, counting on or back in tens and finding the fraction of a given number.

16 Place Value as in Term 1 and Term 3 To order, compare and read and write numbers to 100 Introduce 100s (place value grids and Gattegno charts) Ordering and comparing, rounding Greater than, less than, equals Link to measurementpractical activities with mass, capacity & volume Children to measure mass in kilograms and grams. To Continuation of place value from previous week with money ( 1, 10p, 1p), length (1m, 10cm, 1cm) and temperature To focus on the value of 1, 10 and 100 in contexts Recognisng the value of coins Solve simple problems in a practical context involving subtraction of money of the same unit, including giving change Year 2 Medium Term Overview Fractions Focus on finding the ½, ¼, ¾ and thirds of a number and solve fraction problems Addition and subtraction of simple fractions with the same denominator and simple equivalences very practically Counting in 1/2s, 1/4s and 1/3s. Recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity. mental calculation strategies within contexts, including time Focus on telling and writing the time to five minutes. Solving time word problems. Consolidation of addition of 2- digit + ones, 2- digit + 10s, 2- digit + 2- digit within contexts Focus on 2+digit 2-digit linking to column method and solving problems To add two 2 digit numbers Children to add three one-digit numbers. Teach vertical partitioning in preparation for year 3 Continue with exchange Consolidation of subtraction of 2-digit ones, 2-digit 10s within contexts Focus on 2-digit 2-digit linking to column method and solving problems To subtract two 2 digit numbers Recognise and use the inverse relationship between subtraction and use this to check calculations and solve missing number problems. Reinforcing and picking up on what hasn t been covered in previous two weeks. Teaching the two in the same week to ensure that the children see the links between them, within contexts Give plenty of opportunities for exchange Assessment, reinforcement, rehearsal etc. of what has been covered so far

17 compare the mass of two or three objects and solve word problems. Year 2 Medium Term Overview

18 Year 2 Medium Term Overview Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Reasoning and Mastery of Multiplication and Division Vocabulary: Lots of, groups of, times, odd, even, multiply, multiplied by, multiple of double, halve, repeated addition, array, divide,, divided by, groups, share, share equally, equal groups of, left, left over. Recall doubles and halves to 20, count in steps of 2, 3, 5 and 10, recognise odd and even numbers, recall multiplication facts for 2, 3, 5 and 10 and recall multiplication and division facts for 2, 3, 5 and 10. Reasoning and Mastery of Geometry Vocabulary: 2D Shapes, star, rectangle, triangle, square, circle, pentagon, hexagon, octagon, polygon, quadrilateral, flat, curved, straight 3D Shapes, cuboid, cube, cone, cylinder, pyramid, sphere, prism, edges, faces, vertices, sort, line of symmetry, symmetrical, mirror line, vertical, reflection, fold, match, regular, irregular, pattern, repeating pattern. Recognise and name 2D shape and 3D shapes, describe properties of 2D/3D shapes, identify the line of symmetry in shapes, shape patterns and describing position direction and movement.

19 Term 6 mental calculation strategies as Terms 2 and 4 Use of mental calculations and recording. Use of bar model and reasoning Link to Length capacity and mass, time and time durations Problem challenges for Secure arrays with single digit x singles digit and 2-digit x singles digit within context of measures and statistics. Use of mental calculations and recording. Use of bar model and reasoning Link to Time and time durations Problem challenges for Secure Year 2 Medium Term Overview grouping using arrays with 2-digit numbers e.g. make array for 15 x 3. Product 45, corresponding division from this array will be = 3 (groups of 15). Stress that we also know that 45 3 will be 15 Written calculations for multiplication methods. The pupil can read The pupil can use the time on the multiplication facts clock to the to make deductions nearest 5 minutes. outside known multiplication facts The pupil can recognise the relationships between addition and subtraction and can rewrite addition statements as simplified multiplication Consolidate division from term 2, making the links to fractions and the multiplication tables you are working on. Written calculations for division methods. The pupil can determine remainders given known facts (e.g. given 15 5 = 3 and has a remainder of 0, pupil recognises that 16 5 will have a remainder of 1; knowing that 2. 7 = 14 and 2. 8 = 16, pupil explains that making pairs of socks from 15 identical socks will give 7 pairs and one sock will be Consolidation of repeated subtraction Solving problems relating to subtraction with progression from term 2 and 4 To compare fractions of amounts e.g. ¼ of 20. Consolidation of 2D shape including problem solving Describing properties with progression from term 2 and 4. To describe similarities and differences of shape properties 3D shape including problem solving Describing properties with progression from term 2 and 4. To describe similarities and differences of shape properties Assessment, reinforcement, rehearsal etc. of what has been covered so far Please review your weeks work within this unit and address and key gaps

20 Year 2 Medium Term Overview statements left).