LOs: Starter: -To show a range of multiplication methods. Main Lesson: - To multiply numbers up to 4 digits by a one-digit number using a formal written method (Year 5) - To multiply numbers up to 4 digits by a one-digit number using a formal written method (Year 5) - To use multiplication, including formal written methods, applying it to integers and decimals, (KS3) This lesson consists of: A connect starter reviewing prior learning with regard to multiplication methods An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to lay-out short multiplication and to test the children’s ability to solve short multiplication problems. A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series short multiplication problems, and one Word Problem per ability group. Answers are supplied to ease marking. An AFL / Next Steps task based on previous SATs questions, which requires children to apply their knowledge of short multiplication to more challenging problems.

LOs: Starter: To use short multiplication. Main Lesson: To solve Word problems requiring short multiplication (Year 5 and Year 6) To develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems (KS3) This lesson consists of: A Starter series of short of progressively harder multiplication problems and their answers. A connect activity getting children to identify as many different words that can used for multiplication. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to lay-out short multiplication when answering word problems and to test the children’s ability to solve short multiplication Word problems. A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series short multiplication Word problems, More Able children will have to complete multistep problems. Answers are supplied to ease marking. An AFL / Next Steps task based on previous a SATs questions, which introduces the idea of using long multiplication.

LOs: Starter: To use short multiplication. Main Lesson: To multiply numbers up to 3 digits by a two-digit number using a formal written method (Year 5) To multiply numbers up to 4 and 5 digits by a two-digit number using a formal written method (Year 6) To use multiplication, including formal written methods, applying it to integers and decimals, (KS3) This lesson consists of: A connect starter reviewing prior learning with regard to long multiplication methods An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to lay-out long multiplication and to test the children’s ability to solve long multiplication problems. A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series long multiplication problems, and one Word Problem per ability group. (LA can choose between formal long multiplication and the grid method). Answers are supplied to ease marking. An AFL / Next Steps task based on previous SATs questions, which requires children to apply their knowledge of long multiplication to more challenging problems.

This lesson consists of: A starter focusing on using multiplication knowledge to solve division problems and a connect starter reviewing prior learning with regard to division methods An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to lay-out short division and to assess the children’s ability to solve short division problems. A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series short division problems, and one Word Problem per ability group. Answers are supplied to ease marking. An AFL / Next Steps task based on previous SATs questions, which requires children to apply their knowledge of short division. Learning Objectives: Starter: - To show a range of division methods. Main Lesson: - To apply short division to integers and decimals (Year 5 & Year 6) - To use division including formal written methods, applying it to integers and decimals, (KS3)

LOs: Starter: To add and subtract numbers Main Lesson: to add and subtract whole numbers with more than 4 digits (Year 5) to solve problems involving addition and subtraction (Year 6) This lesson consists of: A connect PowerPoint to establish children’s understanding of addition and subtraction methods. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to model various methods that can be used to solve addition and subtraction and demonstrating why, for larger numbers, formal methods are best. A 4 way differentiated series of independent tasks (including a Challenge Activity) where children are expected to solve a series of addition and subtraction problems including one Word Problem for each ability group. . An AFL / Next Steps task challenging children to identify common calculation errors that are often made with addition and subtraction.

LOs: Starter: To read and write numbers up to 1,000,000 (Y5) To read and write numbers up to 10,000,000 (Y6) Main Lesson: round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000 (Year 5) round any whole number to a required degree of accuracy (Year 6) understand and use place value for decimals (KS3) This lesson consists of: - A connect / starter PowerPoint where children write numbers up to 1,000,000 / 10,000,000 as digits in words. - An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire teaching the conventions of rounding up to 10,000 (differentiated 3 ways for ability - A 4 way differentiated series of independent tasks where children round numbers up to 100,000 to the nearest 10, 100, 100, 1000, 10000 and decimals to nearest 1, 0.1, 0.01 - An AFL / Next Steps task where children apply their knowledge to real life population problems. NB Updated 27/6/17 - UKS2 Term 1 - Week 1 -Day 2 Starter - 3 pasting errors on answer page, - Upper Key Stage 2 Week 1 Day 2 - Rounding whole numbers accurately - independent task – 1 rounding error – Developing c1

This lesson consists of: A starter / connect PowerPoint where children sequence and order negative and positive numbers. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, showing how empty number lines to find the difference between negative and positive numbers when applied to temperature. (differentiated 3 ways for ability). A 4 way differentiated series of independent tasks (including a Mastery Level Challenge Activity) where children to interpret a range of charts, bar and line graphs showing positive and negative temperatures. An AFL / Next Steps task taken from 2017 Maths SATs paper. LOs: Starter: - to count forwards and backwards with positive and negative whole numbers (Year 5) - to use negative numbers, and calculate intervals across 0 (Year 6) - to order positive and negative integers (KS3) Main Lesson: - to interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0 (Year 5) - use negative numbers in context, and calculate intervals across 0 (Year 6) - apply this knowledge to bar and line graphs. (KS3)

LOs: Starter: To add and subtract large numbers Main Lesson: To solve addition and subtraction multi-step problems in contexts (Year 5 and Year 6) To develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems (KS3) This lesson consists of: A starter recapping on subtraction and addition of large numbers and 2 connect activities recapping on the different ways that addition and subtraction can be written, plus a set of differentiated word problems to allow children to work in pairs to decode, allowing you to establish children’s understanding of Word problems. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to establish an effective way to lay-out calculations and to test the children’s ability to apply column subtraction and addition to work problems. A 4 way differentiated series of Word problems (including a Challenge Activity) where children are expected to solve a series of multi-step (developing single step) addition and subtraction problems. An AFL / Next Steps task based on a 2014 SATs question, which requires simple division in addition to subtraction.

This lesson consists of: A starter / connect PowerPoint where children revise value of specific digits up to 10,000,00 and to 3dps and tests their understanding of sequencing and ordering numbers. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, teaching the conventions using empty number lines to show how to work with negative numbers, find the differences between negative and positive numbers and order positive and negative numbers. (differentiated 3 ways for ability). A 4 way differentiated series of independent tasks (including a Mastery Level Challenge Activity) where children to compare and order negative and positive numbers and find the differences between negative and positive numbers. An AFL / Next Steps task where children check their understanding of the greater than (>) and less than ( LOs: Starter: To order and compare numbers up to 1,000,000 (Year 5) To order and compare numbers up to 10,000,000 (Year 6) To order and compare any numbers (KS3) Main Lesson: to count forwards and backwards with positive and negative whole numbers (Year 5) to use negative numbers, and calculate intervals across 0 (Year 6) to order positive and negative integers (KS3)

LOs: Starter: To read and write numbers up to 1,000,000 (Y5) To read and write numbers up to 10,000,000 (Y6) Main Lesson: To write in words the sum of numbers up to 1,000,000. (Y5) To write in words the sum of numbers up to 10,000,000. (Y6) This lesson consists of: A connect / starter PowerPoint where children write numbers up to 1,000,000 / 10,000,000 as digits and in words. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire teaching the conventions of writing numbers up to 10,000,000 An independent task where children use mental addition to generate numbers up to 10,000,000 (Challenge - including up to 3dps) An AFL / Next Steps task where children apply their knowledge to real life population problems. A homework option linked to real life where children use research skills to find out local populations and write these out in words. Also included for SEN / EAL children Spelling vocabulary for the number values.

LOs: to solve number and practical problems that involve reading, writing, ordering and comparing numbers up to 1,000,000 and determining the value of each digit (Year 5) to solve number and practical problems that involve reading, writing, ordering and comparing numbers up to 10,000,000 and determining the value of each digit (Year 6) to develop mathematical knowledge solving problems and evaluating the outcomes, including multi-step problems (KS3) This lesson consists of: An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire to allow you to share the learning objectives and go through the best way to complete this group / paired investigation. (differentiated 3 ways for ability) 4 differentiated sets of problem solving cards where children work collaboratively to apply their Place Value knowledge to find a set of either six or seven numbers. An AFL / Next Steps reflection to encourage children to identify what went well and what strategies they would attempt improve in subsequent investigations.

LOs: Starter: To order and compare numbers up to 1,000,000 (Year 5) To order and compare numbers up to 10,000,000 (Year 6) To order and compare any numbers (KS3) Main Lesson: to compare and order numbers up to 1,000,000 (Year 5) to compare and order numbers up 10,000,000 (Year 6) to compare and order numbers with up to 3 decimal places. (KS3) This lesson consists of: A starter / connect PowerPoint where children revise value of specific digits up to 10,000,00 and to 3dps and tests their understanding of how to find largest and smallest numbers., An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire teaching the conventions using the significance of digits to compare and order numbers up to 10,000,000 (differentiated 3 ways for ability) A 4 way differentiated series of independent tasks where children sequence and compare numbers up to 10,000,000 and to 3dps. An AFL / Next Steps task where children check their understanding of the greater than (>) and less than ( NB Updated 27/7/17 Upper Key Stage 2 Week 1 Day 4 - Compare and order numbers - independent task –answer sheet - Developing i, Secure i, Challenge i

Learning Objectives Starter: - To perform (mental) calculations. - To revise factors, multiples and prime factors. Main Lesson: - To solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign (Year 5) - To use their knowledge of the order of operations to carry out calculations involving the 4 operations (Year 6) - To use conventional notation for the priority of operations, including brackets, powers and roots (KS3) This lesson consists of: A Starter consisting of a series of progressively harder, multi-step calculations and revision of common factors, common multiples and prime factors. A connect activity getting children to begin to understand why it is necessary to have a specific order when undertaking multi-step calculations. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach how to apply BODMAS to brackets and orders / powers. This includes a PowerPoint presentation showing defining, explaining and applying BODMAS to two different calculations. A 4-way differentiated series of tasks requiring children to use BODMAS to carry out multi step calculations with all four operations, with brackets, squared and cube numbers and how to balance equations. A stretch challenge including square roots. Answer sheet provided to support marking. A final AFL / Next Steps task, asking children to correct mistakes in 3 multi-step calculations.

Learning Objectives: Starter: - To use short division Main Lesson: -To apply short division to decimals (Year 5 & Year 6) -To use division including formal written methods, applying it to integers and decimals, (KS3) This lesson consists of: A starter focusing on revising short multiplication to solve division problems and a connect starter linking place value to division of decimals. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to lay-out short division of decimals and to assess the children’s ability to solve short division problems involving decimals.. A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series short division problems which give decimals as answers, and one Word Problem per ability group. Answers are supplied to ease marking. An AFL / Next Steps task based on previous SATs questions, which requires children to solve a series of multistep problems requiring division as well as at least one other operation. Division, multiplication, chunking, Short division, Short division, Short division, decimals, decimals, decimals, 4-digit, 5-digit, 1dp, 2dp, Word Problem, AfL

LOs: Starter: round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000 (Year 5) round any whole number to a required degree of accuracy (Year 6) understand and use place value for decimals (KS3) Main Lesson: to identify the place value of each digit of a number up to 1,000,000 (Year 5) to identify the place value of each digit of a number up to 10,000,000 (Year 6) to understand place value for decimals (KS3) This lesson consists of: A starter / connect PowerPoint where children revise round of numbers up to 10,000,00 and to 3dps and tests understanding of Place Value digits, An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire teaching the conventions of identifying place value of digits up to 10,000,000 (differentiated 3 ways for ability) A 4 way differentiated series of independent tasks where children identify place values of digits, in 10, 100, 100, 1,000, 10,000, 100,000, 1,000,000 and 10,000,0000 and decimals to 0.1, 0.01, 0.001 An AFL / Next Steps task where children apply their knowledge to Word problems. NB Updated 27/6/17 UKS2 - Term 1 - Week 1 - Day 3 Starter - Rounding numbers with degree of accuracy - recap - one rounding error Row 1 column 4, 2 corrections of AfL/next steps (and answers) in presentations.

Learning Objectives: Starter: - To use short division. - To identify different long division methods. Main Lesson: - To divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division (Year 6) - To use division including formal written methods, applying it to integers and decimals, (KS3) This lesson consists of: A starter focusing on using applying short division to decimals and a connect starter reviewing prior learning with regard to long division methods An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach three different long division methods and to assess the children’s ability to solve long division problems. A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series long division problems, and two Word Problem per ability group. Answers are supplied to ease marking. An AFL / Next Steps task based on previous SATs questions, which requires children to apply their knowledge of long division.

LOs: Starter: to interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0 (Year 5) to use negative numbers, and calculate intervals across 0 (Year 6) to order positive and negative integers (KS3) Main Lesson: solve problems involving negative numbers (Year 5 & Year 6) select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems (KS3) This lesson consists of: A starter / connect PowerPoint where children sequence and order negative and positive numbers and identify the properties of Magic Number Squares. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, showing how to continue negative number sequences and to use strategies identified in Connect to find solutions to Magic numbers. A 4 way differentiated series of independent tasks (including a Mastery Level Challenge Activity) where children to interpret a range of charts, bar and line graphs showing positive and negative temperatures. This is complete with an answer sheet to make marking easier. An AFL / Next Steps task challenging children to apply knowledge to another type of Magic Square.

Learning Objectives: Starter: - To use short division. - To identify different long division methods. Main Lesson: - To divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division (Year 6) -To use division including formal written methods, applying it to integers and decimals, (KS3) This lesson consists of: A starter focusing on using applying long division and a connect starter reviewing prior learning with regard to long division methods An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach three different long division methods and to assess the children’s ability to solve long division problems when applied to decimal numbers. A 4 way differentiated series of calculations where children are expected to solve a series long division of decimal numbers (including a Challenge Activity where children divided by decimal numbers), and two Word Problem per ability group. Answers are supplied to ease marking. An AFL / Next Steps task based on a previous SATs question, which requires children to decode a long division word problem using mastery techniques.

Learning Objectives: Starter: - To use long division with decimals. Main Lesson: - To solve Word problems requiring formal written division methods (Year 5 and Year 6) - To develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems (KS3) This lesson consists of: A Starter series of short of progressively harder division problems and their answers. A connect activity getting children to identify as many different words that can used for division. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to lay-out short and long division when answering word problems and to test the children’s ability to solve short and long division Word problems. A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series of short and long division Word problems. More Able children will have to complete multistep problems. Answers are supplied to ease marking. An AFL / Next Steps task based on previous a SATs question, to allow to assess children’s learning with regard to long division methods.

Learning Objectives Starter: - To perform (mental) calculations. - To recognise multiples Main Lesson: - To identify common multiples (Year 5 and Year 6) - To use the concepts and vocabulary of multiples, common multiples and lowest common multiple (KS3 This lesson consists of: A Starter consisting of a series of progressively harder addition, subtraction, multiplication and division calculations. A connect activity getting children to identify the correct and incorrect definitions of multiples and a second Connect to get children identify the first 3 multiples of common times tables. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to find multiples, common multiples and lowest common multiples, and how these can be identified from lists and using Venn Diagrams. A 4 way differentiated series of tasks requiring children to identify multiples (LA) common multiples of 2 (LA) and 3 digit numbers (MA, HA) and lowest common multiples of 3 and 4 different numbers (HA). Answer sheet provided to support marking. An AFL / Next Steps task reviewing the definitions of multiples, common multiples, and lowest common multiples.