5 sets of worksheets (differentiated for 4 ability groups) covering all aspects of Place Value to allow you to meet expectations of current (2014 onwards) National Curriculum for Mathematics. The worksheets cover the following learning objectives: Year 5 - read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit - round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000 - solve number problems and practical problems that involve all of the above Year 6 - read, write, order and compare numbers up to 10,000,000 and determine the value of each digit - round any whole number to a required degree of accuracy - solve number and practical problems that involve all of the above KS3 - understand and use place value for decimals, measures and integers of any size - round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures] - develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems

A set of Promethean ActivInspire Flipcharts and Smartboard Notebook files to allow you to: revise prior knowledge of grid and partitioning multiplication methods. teach formal short and long multiplication. decode Word problems effectively layout work neatly in exercise books solve Word problems relating to short and long multi-digit multiplication. LOs include: To use short or long multiplication. To solve Word problems requiring short or long 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)

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 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 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

A collection of 5 lessons' worksheets for Year 5 and Year 6, differentiated for 4 different ability groups. 4 sets of worksheets include a Word Problem and one set are Word problems relating to formal written methods of short and long division . LO's covered include: To use short or long division. 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)

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

A set of Promethean ActivInspire Flipcharts and Smartboard Notebook files to allow you to: revise prior knowledge of short and long division methods. teach formal written short and long division. decode Word problems effectively layout work neatly in exercise books solve Word problems relating to short and long multi-digit division. LOs include: To use short or long division. 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)

Learning Objectives: Starter: - To recognise when a division sum leaves a remainder. Main Lesson: - To use formal short division and interpret remainders appropriately for the context (Year 5) - To interpret remainders as fractions (Year 6) - To use division including formal written methods, applying it to integers and fractions(KS3) This lesson consists of: A starter focusing on revising when calculations give remainders using the context of Word Problems. A connect to get the children to start thinking about the link between fractions and decimals (which will be built upon in the AfL / next steps section of the lesson.. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to convert remainders into fractions . A 4 way differentiated series of calculations (including a Challenge Activity) where children are expected to solve a series short and long division problems which give remainders and convert these remainders into fractions, and one Word Problem per ability group. Answers are supplied to ease marking. An AFL / Next Steps task to challenge children to consider how they can use their knowledge of fractions and decimals to convert a division sum which results in a simple fraction to an answer with a decimal.

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, including with mixed operations and large numbers. Main Lesson: - To solve problems involving addition, subtraction, multiplication and division (Year 5) - To use their knowledge of the order of operations to carry out calculations involving the 4 operations (Year 6) - To use the 4 operations, including formal written methods, applied to integers and decimals, (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 consider how they might check answers using informal methods and inverse operations. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach when to use inverse operations and when to use informal methods in order to check calculations. . A 4 way differentiated series of calculation checks where the children take on the role of a teacher, marking a series of sums, and showing the inverse operations / informal methods that they have used to check the answers. Answers are supplied to ease marking. An AFL / Next Steps task introducing the idea of using estimation to check problems where miscalculations are linked to Place Value.

Learning Objectives Starter: - To perform (mental) calculations. - To recognise prime numbers Main Lesson: To know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers (Year 5) To identify prime numbers and (prime) factors (Year 6) To use the concepts and vocabulary of factors, prime numbers and prime factorisation (KS3) This lesson consists of: A Starter consisting of a series of progressively harder addition, subtraction, multiplication and division calculations and revision of highest common factors. A connect activity getting children to identify the correct and incorrect definitions of prime numbers and a second Connect to get children explain why a specific number is prime or not. . An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to recognise prime numbers, composite numbers and prime factors and how to use factor trees to identify the latter.. A 4-way differentiated series of tasks requiring children to identify prime numbers, composite numbers and prime factors. Answer sheet provided to support marking. Two AFL / Next Steps tasks, introducing multistep calculations based around prime numbers and a second revising the definitions from start of lesson.

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.