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.

35 sets of complete lessons (7 x 5 days) covering current National Curriculum expectations for teaching Place Value, Addition and Subtraction, formal short and long multiplication and formal short and long division, division leaving remainders and fractions, multiples, common multiples, prime factors, common prime factors, BODMAS, multiplication and division by powers of 10, metric measures, conversions between metric and imperial measures, and multi-step Word Problems. Each week ends with either an investigation of Word Problems linked to the topic studied. Every lesson includes: - a Starter based on Arithmetic and / or previous learning and a Connect Activity designed to activate the children's interest in the topic being covered that day. - two interactive teaching presentations designed to run on either Smartboard's Interactive Whiteboard or Promethean ActivInspire software. - a detailed 4 way differentiated lesson plan including all relevant learning objectives and AfL / next step opportunities. - a 4 way differentiated worksheet designed to cater for the learning of virtually all children in Year 5 or Year 6 regardless of ability (and MA / LA Y7 - Y9)

Learning Objectives Starter: - To revise place value, sequencing, ordering, properties of numbers, four operations and metric measures. Main Lesson: - To read different units of metric measure (Year 5) - To interpret graphs and charts and to convert between different units of measure and solve single step Word problems(Year 6) - To change freely between related standard units and apply knowledge to solve multi step Word problems (KS3) This lesson consists of: A Starter quiz revising learning for the first half of the Autumn term. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children how to use a variety of different conversion charts. A 3-way differentiated series of tasks requiring children to move around the room, answering questions based on 15 different conversion charts which can be displayed at different stations. Children should work in pairs of a similar ability group. A final AFL / Next Steps task, asking children to apply their knowledge to a multistep SATs question, requiring them to interpret a table of times.

Learning Objectives Starter: - To order multistep calculations. - To identify four operations. Main Lesson: - To solve problems involving addition, subtraction, multiplication and division and a combination of these (Year 5) - To solve problems involving addition, subtraction, multiplication and division (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, multi-step calculations and revision of properties of numbers. A connect activity challenging children to identify which range of operations they require to solve a differentiated Word problem. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children how to lay out multi operation Word problems and how to allowing you to group children according to ability. A 4-way differentiated series of tasks requiring children to solve multi-step word problems relating to measures, time and multiplying and dividing by 10, 100 and 1000. A challenge activity where children have to apply this knowledge and draw conclusion in order to answer two Mastery style questions. Answer sheet provided to support marking. A final AFL / Next Steps task, asking children to apply their knowledge to a multistep SATs question, requiring the use of brackets to organise their calculation.

Learning Objectives Starter: - To order multistep calculations. - To interpret line graphs. Main Lesson: - To convert between different units of metric measure (Year 5) - To interpret line graphs and to convert between miles and kilometres (Year 6) -To change freely between related standard units [for example length, capacity and mass] (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 challenging children to hypothesise what data a series of line graphs might represent. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach use line graphs to convert between different units of measure and how to draw their own line graphs. A 4-way differentiated series of tasks requiring children to convert between the various metric units of measure using, and plotting their own, line graphs. A challenge activity where children convert between miles and kilometres and metres. Answer sheet provided to support marking. A final AFL / Next Steps task, asking children to apply their knowledge to a conversion table, converting between litres and gallons.

Learning Objectives Starter: - To order multistep calculations. - To use, read, write and convert between standard units. Main Lesson: - To convert between different units of metric measure (Year 5) - To convert measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places (Year 6) -To change freely between related standard units [for example length, capacity and mass] (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 start to think about the different units used to measure length, capacity and mass. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach the conversions between different metric units including mm, cm, metres, kilometres, litres and millilitres, grams and kilograms. A 4-way differentiated series of tasks requiring children to convert between the various metric units of measure. A challenge activity where children complete between miles and kilometres and metres. 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 to a conversion graph, which will be focus of the following days lesson.

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.

A Slide by slide explanation of how you use BODMAS (brackets, Orders, Division and Multiplication, Addition and Subtraction) to allow you to solve a multi-step calculation correctly. 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 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 perform (mental) calculations. - To revise factors, multiples and prime factors. Main Lesson: - To recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³) (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, multiplication and division calculations and revision of highest common factors, lowest common multiples and prime factors. A connect activity getting children to begin to understand the effect of brackets in calcualations. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach how to apply BODMAS to brackets and orders / powers. Also includes a revision of how to find square numbers (if required). A 4-way differentiated series of tasks requiring children to find square numbers, to carry out multi step calculations with brackets, squared and cube numbers and how to use brackets to solve calculations and balance equations. A stretch challenge introducing square roots. Answer sheet provided to support marking. A final AFL / Next Steps task, making use of BODMAS calculations from the 2016 and 2017 arithmetic SATs papers.

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 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 recognise factors Main Lesson: - To identify common factors (Year 5 and Year 6) - To use the concepts and vocabulary of factors, and common factors (KS3) This lesson consists of: A Starter consisting of a series of progressively harder addition, subtraction, multiplication and division calculations and revision of multiples. 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 factors, common factors and highest common factors, and how these can be identified from lists and using Venn Diagrams. A 4-way differentiated series of tasks requiring children to identify factors (LA) common factors of 2 (LA) and 3 digit numbers (MA, HA) and highest common factors of 3 and 4 different numbers (HA). Answer sheet provided to support marking. Two AFL / Next Steps tasks, the first introducing the concept of prime numbers in terms of factors and the second reviewing the definitions of common factors, and highest common factors and challenging most able to define prime factors

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 perform (mental) calculations, including with mixed operations and large numbers. Main Lesson: - To use rounding to check answers to calculations (Year 5 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 estimation. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire, to teach how to use estimation in order to check calculations. It also includes a Knowledge check to ensure that your class are familiar with rounding. A 4 way differentiated series of calculations where children first estimate, and then solve addition, subtraction, multiplication and division problems including decimals (for MA and HA). An AFL / Next Steps task reviewing when to use estimation and when to use inverse operations to accurately check calculations.