Mathematics Medium Term Plan Week 1 Domain Number and Place Value Year 2 spring Spring 1 Learning Objectives By the end of this sequence of lessons all pupils will be able to… (These objectives will be revisited throughout the year) Mark two-digit numbers on a beaded line, then landmarked line (labelled in tens); Order numbers to 100, compare two numbers, say which is more or less; Say a number between any given neighbouring pairs of multiples of ten (e.g. 40 and 50); Count on in tens from single and two-digit numbers and back again; Show two-digit numbers on a bead string and write the corresponding addition (e.g. 26 = 20 + 6); Partition two-digit numbers into multiples of ten and one; Use place value to add and subtract (e.g. 30 + 4, 53 – 3) Mark two-digit numbers on a landmarked line (labelled in tens); Compare th numbers using the symbols < and >; Use ordinal numbers in context up to 10 and beyond; Use knowledge of order of numbers and properties of number (e.g. odd/even, multiples to describe/sort numbers); Solve logic problems; Round two-digit numbers to nearest multiple of ten. 2017 KW/JF Standard misconceptions Models and images Opportunities for crosscurricular links Placing numbers (including estimation) accurately on a number line Reversing digits in 2 digit numbers. Digits written incorrectly. Dienes; beadstrings; place value hats; number lines; place value cards; measuring instruments Fairy tale combination locks Not have the mental agility to break single digits numbers to add to next multiple of 10. Not use numberline correctly ie not jump before count. Use number lines to visualise. Phase 1/2 Objectives (highlight as met) count in steps of 2, from 0,and in tens from any number, forward or backward recognise the place value of each digit in a two-digit number (tens, ones) identify, represent and estimate numbers using different representations, including the number line compare and order numbers from 0 up to 100; use <, > and = signs read and write numbers to at least 100 in numerals count in steps of 5 from 0 from any number, forward or backward Use place value and number facts to solve problems. The pupil can partition two-digit numbers into different combinations of tens and ones. This may include using apparatus (e.g. 23 is the same as 2 tens and 3 ones which is the same as 1 ten and 13 ones). : Use pairs to ten to find the complement to the next multiple of ten; Use place value to 2 Addition and subtraction add and subtract (e.g. 30 + 4, 53 – 3); Add/subtract a single digit to/from a 2-digit number by bridging multiples of ten using knowledge of pairs to ten & place value; Understand that addition can be done in any order, but not subtraction; Sort calculations as to whether number facts or place value can be used to help identify the useful number fact. Phase 1/2 Objectives (highlight as met) using concrete objects and pictorial representations, including those involving numbers. applying their increasing knowledge of mental and written methods recall and use addition and subtraction facts to 20 fluently. add and subtract numbers using concrete objects, pictorial representations, and mentally, - -digit number and tens Add/subtract two-digit numbers by adding/subtracting multiples of ten then one (e.g. add 45 and 23 by adding 20, then 3); Add/subtract using a 1-100 number square and landmarked lines. Phase 1/2 Objectives (highlight as met) solve problems with addition and subtraction: ing those involving numbers. 3 Addition and subtraction applying their increasing knowledge of mental and written methods recall and use addition and subtraction facts to 20 fluently. add and subtract numbers using concrete objects, pictorial representations, and mentally, a two- using concrete objects and pictorial representations, including those involving measures. show that addition of two numbers can be done in any order (commutative) and subtraction Not seeing the commutative feature of adding or that + is the reverse of – to help with facts. To not see that counting on can find numbers in missing number sentences. Pairs to 10 rhyme, petal counters, Fingers, coins. Learning pairs to 20 by heart. Draw out sums with rods and ones. Support with diennes blocks. Problems related to fairy tales.. Not knowing correct mathematical words for features of 3D and 2D shapes. Forgetting what a right angle looks like. Not understanding that symmetry needs to be equal in shape and size. Not recognising irregular 2d shapes. Shape learning wall descriptions 2D and 3D shapes Computer drawing program Make 3D castles. -digit number and tens of one number from another cannot The pupil can use estimation to check that their answers to a calculation are reasonable (e.g. knowing that 48 + 35 will be less than 100). The pupil can subtract mentally a two-digit number from another two-digit number when there is no regrouping required (e.g. 74 − 33). Recognise common 2D shapes, identify from pictures in different positions and orientations; Draw, sort and describe 2D shapes, referring to their properties including symmetry and right angles (‘square’ corners) Phase 1 Objectives (highlight as met) 4 Properties of shape/statisti cs (Some from week 6mine wk4 summer ham) -D shapes, including the number of sides and symmetry in a vertical line identify 2-D shapes on the surface of 3-D shapes, for example a circle on a cylinder and a triangle on a pyramid Interpret and construct simple pictograms, tally charts, block diagrams and simple tables. Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity. interpret and construct simple pictograms, tally charts, block diagrams and simple tables The pupil can describe properties of 2-D and 3-D shapes (e.g. the pupil describes a triangle: it has 3 sides, 3 vertices and 1 line of symmetry; the pupil describes a pyramid: it has 8 edges, 5 faces, 4 of which are triangles and one is a square). 5 Statistics and movement. Phase 1/2 Objectives (highlight as met) use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguish between rotation as a turn and in terms of right angles for quarter, half and three quarter turns (clockwise and anticlockwise) Confuse anticlockwise and clockwise. Not be secure with what 1/2., ¼ and ¾ turn means Tables and graphs rotation prompts on the learning wall. Groups of information based on favourite fairy tale stories and characters. Route around fairy castle Not understand groups of and add instead. Not see commutativity of multiplication. Not see it as reverse of division. Use cubes to illustrate, and diennes. Illustrate on fingers Use problems based on fairy tale characters. Interpret and construct simple pictograms, tally charts, block diagrams and simple tables. Count in 2s, 5s and 10s from any number to 100; Recognise multiples of 2, 5 and 10; Investigate a general statement about familiar numbers by finding examples which satisfy it; Use grouping in 2s, 5s or 10s to count larger groups of objects; Find, describe and continue patterns; Understand multiplication as repeated addition; Use multiplication sentences to describe an array and make links to division; Understand grouping as one model of division; Begin to understand that division can leave some left over; Imagine what action would be needed to solve a word problem. Phase 1/2 Objectives (highlight as met) recall and use multiplication and division facts for the 2, and 10 multiplication tables, including recognising odd and even numbers 6 Multiplication And division show that multiplication of two numbers can be done in any order (commutative) solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, recall and use multiplication and division facts for the 5 multiplication tables, including athematical statements for multiplication using the multiplication (×), and equals (=) signs. The pupil can recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables to solve simple problems, demonstrating an understanding of commutativity as necessary (e.g. knowing they can make 7 groups of 5 from 35 blocks and writing 35 ÷ 5 = 7; sharing 40 cherries between 10 people and writing 40 ÷ 10 = 4; stating the total value of six 5p coins).
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