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Pegasus Calculation Policy (Revised 2016). Pegasus Calculation Policy for Multiplication. What is “Mathematics Mastery?”. Mathematics Mastery schools want to ensure that their aspirations for every child’s mathematics success become reality Success in mathematics for every child is possible
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Pegasus Calculation Policy (Revised 2016) Pegasus Calculation Policy for Multiplication
What is “Mathematics Mastery?” Mathematics Mastery schools want to ensure that their aspirations for every child’s mathematics success become reality Success in mathematics for every child is possible Mathematical ability is not innate, and is increased through effort
Effort-based ability – growth mindset Innate ability Intelligence is fixed Intelligence can grow Effort leads to success Ability leads to success When the going gets tough ... I get smarter When the going gets tough ... I get found out I need to be viewed as able I only need to believe in myself Success is doing better than others Success is the making of targets When the going gets tough ... give up, it’s hopeless When the going gets tough ... dig in and persist
Lesson structure Mathematics Mastery lessons follow a 6-part structure. This keeps the lesson pacey, gives flow and allows more opportunities to teach creatively, give feedback and assess learning. Pupils have access to plenty of concrete materials such as bead strings and place value counters so that they have time to fully explore mathematics.
How will children’s work be recorded? Task sheets Books Videos Photographs Multiple representations Objects, pictures, numbers and symbols enable pupils to represent ideas and make connections in different ways. This develops understanding and problem solving skills – while making lessons engaging and fun.
Pegasus Calculation Policy (Revised 2016) Repeated addition 2 + 2 + 2 + 2 + 2= 10
Pegasus Calculation Policy (Revised 2016) Arrays 2 x 5 = 5 x 2 = 10 1 2 5 1 2 4 10 2 3 6 4 8 5 10
Pegasus Calculation Policy (Revised 2016) Arrays 3 x 5 = 5 x 3 = 15 15 3 1 1 6 2 10 2 9 3 15 3 12 4 15 5
Counting-on in multiples to a target number Pegasus Calculation Policy (Revised 2016) 15 5 x 3 = 6 12 9 3 15
Curriculum for Depth at Year 3 • Place value and number sense of numbers to 1,000 were introduced in the Mastery Curriculum in Year 2. • Year 3 pupils 'work within 100 from the first unit of • Pupils “use larger numbers to at least 1000, applying partitioning related to place value using varied and increasingly complex problems, building on work in year 2 (for example, 146 = 100 + 40 and 6, 146 = 130 + 16)”. • Pupils “identify, represent and estimate numbers using different representations”. • Pupils use a variety of representations, including those related to measure, pupils continue to count in ones, tens and hundreds, so that they become fluent in the order and place value of numbers to 1000”. • Pupils will, “find 10 or 100 more or less than a given number; recognise the place value of each digit in a three-digit number (hundreds, tens, ones); compare and order numbers up to 1000; read and write numbers up to 1000 in numerals and in words; solve number problems and practical problems involving these ideas. • Count from 0 in multiples of 50 and 100”
Pegasus Calculation Policy (Revised 2016) 2 digit by 1 digit grid multiplication 184 23 x 8 = 20 3 x = 184 16 0 24 8 Children add the totals
Pegasus Calculation Policy (Revised 2016) An opportunity for you to participate 180 36 x 5 = 30 6 x = 180 15 0 30 5
Pegasus Calculation Policy (Revised 2016) Expanded method of multiplication TO 23 (8 x 3) x 8 24 160 (8 x 20) 184
Pegasus Calculation Policy (Revised 2016) Expanded method of multiplication HTO 532 (6 x 2) x 6 12 (6 x 30) 180 (6 x 500) 3000 3192
Pegasus Calculation Policy (Revised 2016) An opportunity to participate HTO 358 (4 x 8) x 4 32 (4 x 50) 200 (4 x 300) 1200 1432
Pegasus Calculation Policy (Revised 2016) Expanded multiplication without brackets HTO 262 x 6 12 360 1200 1572
Pegasus Calculation Policy (Revised 2016) Short multiplication 3 2 1 4387 1 5 4 7 8 x 4
Pegasus Calculation Policy (Revised 2016) An opportunity to participate 5 58 x 7 6 4 0
Pegasus Calculation Policy (Revised 2016) Long multiplication 4 75 x 19 1 5 6 7 7 0 5 1 4 5 2
Pegasus Calculation Policy (Revised 2016) An opportunity to participate 1 36 x 53 8 10 3 18 00 0 1 9 8