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

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.

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.

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.

A step by step PowerPoint Presentation modelling the process involved to allow children to find prime factors. The video clip is of the same PowerPoint allowing you to run the PowerPoint directly from youtube.

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.

Learning Objectives Starter: - To order multistep calculations. - To multiply and divide whole numbers by 10, 100 and 1,000. Main Lesson: - To multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000 (Year 5) - To multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places (Year 6) - To understand and use place value for decimals (KS3) This lesson consists of: A Starter consisting of a series of progressively harder, multi-step calculations and revision of properties of numbers. A connect activity getting children to remember how they multiply and divide integers (whole numbers) by 10, 100, 1000. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach how to multiply and divide whole numbers and decimals by 10, 100 and 1000. A 4-way differentiated series of tasks requiring children to multiply and divide increasingly more challenging integers and decimals by 10, 100 and 1000. A Place Value grid is provided as additional support for those struggling. Answer sheet provided to support marking. A final AFL / Next Steps task, asking children to apply their knowledge of multiplying and dividing numbers by 10, 100, and 1000 to find as many possible ways to make a specific number based on old SATs paper.

Learning Objectives Starter: - To simplify fractions Main Lesson: - To identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths (Year 5) - To use common multiples to simplify fractions (Year 6) This lesson consists of: A connect activity challenging children to explain what fractions are and how they can be written – allowing you assess prior learning. A Starter consisting of a series of progressively harder, visual representations of fractions for the children to identify. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to allow children to understanding both visually and mathematically equivalence in fractions. A second teaching activity allowing the children how to use cancelling to simplify fractions. A 4-way differentiated series of tasks requiring children to simplify fractions. A final AFL / Next Steps task, asking children to apply their knowledge to a SATs question, where they can demonstrate their understanding of equivalence and simplification of fractions.

Learning Objectives Starter: - To simplify fractions Main Lesson: To identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths (Year 5) - To recall and use equivalences between simple fractions (Year 6) - To use the concepts and vocabulary of factors (or divisors), multiples, common factors and common multiples (KS3) This lesson consists of: A Starter consisting of a series of progressively harder fractions which require simplifying. A connect activity challenging children to explain and identify equivalent fractions– allowing you assess prior learning. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to allow children to understanding both visually and mathematically equivalence in fractions. A second teaching activity allowing the children to understand how to use common factors and multiples to produce equivalent fractions. A 4-way differentiated series of tasks requiring children to find equivalent fractions. A final AFL / Next Steps task, asking children to apply their knowledge to two old SATs questions, where they can demonstrate their understanding of equivalence of fractions.

Learning Objectives Starter: To compare and order fractions Main Lesson: To subtract fractions with the same denominator, and denominators that are multiples of the same number (Year 5) To subtract fractions with different denominators, using the concept of equivalent fractions (Year 6) To use the 4 operations applied to proper and improper fractions(KS3) This lesson consists of: A Starter consisting of a series of progressively harder problems where the children have to compare mixed numbers with improper fractions and use <> sign to show which are larger. A connect activity challenging children to identify and explain the nature of common errors when subtracting fractions. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to understanding how to subtract fractions, improper fractions and mixed numbers with common denominators, with denominators where one is a multiple of the other and where two fractions have different denominators, and changing fractions to have the same denominator in order to add these fractions. A 4-way differentiated series of tasks requiring children to subtract fractions. Answers included to ease marking A final AFL / Next Steps task, asking children to work out what final step has been missed off by a fictional student Sam.