First Level Class: ________________________________ Session:__________________________ Addition and Subtraction First Level (1) I can share ideas with others to develop ways of estimating the answer to a calculation or problem, work out the actual answer, then check my solution by comparing it with the estimate MNU 1-01a RECALL Number bonds to 10 e.g. 3 + 7, or what to add to a single digit number to make 10, e.g. 3+ = 10 or + 7 = 10 I have investigated how whole numbers are constructed, can understand the importance of zero within the system and can use my knowledge to explain the link between a digit, its place and its value. MNU 1-02a I can use addition, subtraction, multiplication and division when solving problems, making best use of the mental strategies and written skills I have developed. MNU 1-03a Addition facts for totals to at least 5, e.g. 2 + 3, 4 + 3 Addition doubles for all numbers to at least 10, e.g. 8 + 8 First Level (2) RECALL Number bonds to at least 10, including subtraction facts e.g. 3+4=7, 4+3=7, 7-4=3, 7-3=4 Link Number Talks –Counting All/Counting On (pg59-60) Number pairs with totals to 20building on knowledge of numbers bonds to 10 e.g. 3+7=10 13+7=20 Number pairs with multiples of 10 with totals to 60, then 100 e.g. 40 + 20 = 60, 70 + 30 = 100 Number pairs with two digit numbers to make the next multiple of 10 e.g. 52 + = 60 First Level (3) RECALL Addition and subtraction facts for all numbers to 20, e.g. 9+8, 17-9, drawing on knowledge of inverse operations. Link Number Talks –Making Tens (pg185-186) Sums and differences of multiples of 10, within 1000 e.g. 50+80, 120-90 Pairs of two-digit numbers with a total of 100 e.g. 32+68 or 32+ = 100 Addition doubles for multiples of 10 and 100, e.g. 90 + 90 addition doubles for all numbers to 20 and multiples of 10 to 50 e.g. 17 + 17, 40 +40 SKILLS (mentally, with jottings and materials if needed) Add or subtract a pair of single digit numbers, e.g. 4+5, 8-3 Link Number Talks –Making Tens: Rekenreks (pg112), Double Ten Frames (pg114), SKILLS (mentally, with jottings and materials if needed) SKILLS (mentally, with jottings and materials if needed) Add or subtract a pair of single digit numbers, including bridging 10, e.g. 5+8, 12-7 Link Number Talks –Making Tens (pg125-128), Making Landmark or Friendly Add and subtract groups of small numbers, e.g. 5-3+2, 27+12-9 Link Number Talks –Making Tens (pg185-188) Number Sentences (pg117) Numbers (pg129-132) Add or subtract a single digit number to or from 10 up to 20 e.g. 13+5, 17-3 Link Number Talks –Counting All/Counting On: Dot Cards (98), Rekenreks (pg 101), Double Ten Frames (pg 103), Number Sentences (pg106) Add any single digit number from a multiple of 10 e.g. 60+5 Add a single digit to a multiple of 10 e.g. 30+ 7 or 80+7 Add near doubles within totals of 20, e.g. 6+7 Count on from and back in ones from a given two digit number. Count on from and back to zero in ones, twos, fives or tens e.g. Count back in two’s from 8 Count on and back in tens from a single digit number within 100 Add doubles and near doubles, e.g. 6+7 Link Number Talks – Doubles/Near Doubles: Rekenreks (pg107) , Double Ten Frames (pg109), Number Sentences (pg 111) Subtract any single digit number from a multiple of 10, e.g. 80-7 Add or subtract a single digit number to or from a two digit number, e.g. 23+5 then bridging the tens boundary, e.g. 52-7 Add/Subtract a multiple of 10 to or from any two digit number up to 100 (then beyond), e.g. 27+60, 72-50 Link Number Talks –Adding up in chunks (pg141-145) Add/Subtract near tens to or from a one or two digit number within 100 e.g. 6 + 9 as 6 + 10 – 1 or 33 – 11 as 33-10-1 Link Number Talks –Making Landmark or Friendly Numbers (pg118), Compensation (pg137-140) Add near doubles within totals of 100, e.g. 13+14, 39+40 Link Number Talks – Doubles/Near Doubles (pg121124) Add two digit numbers to two digit numbers, e.g. 23+22, then bridging 10 Add or subtract two digit numbers which do not bridge 10’s or 100’s e.g. 34+65, 68-35 Add or subtract a two digit number to or from a multiple of 10, e.g. 50+38, 90-27 Link Number Talks – Subtraction: Adding Up (pg146-149) Add and subtract two digit numbers, e.g. 34 +65, 68 -35 Link Number Talks – Subtraction-Removal (pg150154) Add near doubles beyond totals of 100 e.g. 55+57, 60+70 Count on and back from a single digit number in 3s, 4s within 100 e.g. Start at 2 and count in 3s. e.g. 27+35 Link Number Talks –Breaking each number into place value (pg133-136) STRATEGIES – Learners should understand when to use and be able to apply these strategies. See Addition and Subtraction mental maths booklet: Partitioning (pg38-54) Emphasise the use of estimation and rounding in calculations Re-order numbers when adding, e.g. put the larger number first Count on or back in 1’s,2’s,5’s,10’s Partition small numbers, e.g. 8 + 3 = 8 + 2 + 1, Partition and combine tens and ones, partition and combine multiples of tens and ones Partition: double and adjust, e.g. 5 + 6 = 5 + 5 + 1 Partition: bridge through 10 and multiples of 10 when adding and subtracting Partition: count on in tens and ones to find the total/difference Partition: add a multiple of 10 and adjust by 1 Partition: add or subtract 10 or 20 and adjust Partition: count on or back in minutes and hours, bridging through 60 (analogue times) Use patterns of last digits, e.g. 0 and 5 when counting in fives Use knowledge of pairs making 10, e.g.60 – 7 think 10 – 7 = 3, so 60 – 7 = 53 Identify pairs totalling 10 or multiples of 10 First Level Multiplication and Division MNU 1-01a I can share ideas with others to develop ways of estimating the answer to a calculation or problem, work out the actual answer, then check my solution by comparing it with the estimate Class: ________________________________ Session:__________________________ First Level (1) First Level (3) RECALL RECALL RECALL Doubles of all numbers to 10, e.g. Double 6 Doubles of all numbers to 20, e.g. Double 13 and corresponding halves Multiplication facts for the 3,4,9 times tables and corresponding division facts Doubles of multiples of 10 to 50,e.g. Double 40 and corresponding halves Doubles of multiples of 10 to 100, e.g. double 90, and corresponding halves Odd and even numbers to 20 MNU 1-02a I have investigated how whole numbers are constructed, can understand the importance of zero within the system and can use my knowledge to explain the link between a digit, its place and its value. MNU 1-03a I can use addition, subtraction, multiplication and division when solving problems, making best use of the mental strategies and written skills I have developed. First Level (2) Multiplication facts for the 2,,5,10 times tables and corresponding division facts Odd and even numbers to 100 SKILLS (mentally, with jottings and materials if needed) SKILLS (mentally, with jottings and materials if needed) Count on from and back to zero in ones, twos, fives or tens within 100. Double any multiple of 5 up to 50 e.g. double 35 SKILLS (mentally, with jottings and materials if needed) Double any multiple of 5 up to 100, e.g. 75 Halve any multiple of 10 up to 200, e.g. halve 170 Halve any multiple of 10 up to 100, e.g. halve 90 Multiply one digit number or two digit numbers by 10 or 100, e.g. 7x100, 46x10, 54x100 Find half of even numbers to 40 Find the total number of objects when they are organised into groups of 2, 5 or 10 Find unit fractions of numbers and quantities e.g. 1/4 of 16, 1/3 of 27 (using known table facts) Find unit fractions of numbers and quantities e.g. 1/2 of 20, 1/5 of 25 (using known table facts) STRATEGIES – Learners should understand when to use and be able to apply these strategies. See Multiplication and Division mental maths booklet Emphasise the use of estimation and rounding in calculations Use patterns of last digits e.g. 0 and 5 when counting in fives Partition: double the tens and ones separately, then recombine Partition then recombine e.g. double 35 = double 30 + double 5 Using halving as inverse of doubling and doubling is equivalent to multiplying by 2 Use multiplication facts from the 2,3,4,5,9,10 times tables e.g. Recognise that there are 15 objects altogether because there are 3 groups of 5. Link multiplication and division facts to unit fractions e.g. Finding 1/3 of 9 = 9 ÷ 3 Recognise that when multiplying by 10 or 100, the digits move one or two places to the left and zero is used as a place holder, also applying the inverse. Peter Patilla strategies e.g. Counting stick Recognise that finding a unit fraction is equivalent to dividing by the denominator and use knowledge of division facts Emphasise the importance of using mental maths skills and recall in a variety of contexts, e.g. Money