A plan, set of teaching resources, Interactive Whiteboard presentations for both Promethean and Smartboards. This resource uses the questions on 2016 Key Stage 2 SATs papers 1, 2 and 3 to revise your class' understanding of quick arithmetic methods and revise a specific aspect of the reasoning papers finishing with an AfL style plenary using exemplar questions from the 2016 SATs paper. This is the seventh lesson in a revision programme designed to prepare Year 6 children for the Maths SATs papers 1, 2 and 3. Learning Objectives covered: To multiply whole numbers, decimals or fractions quickly (arithmetic starter) To solve problems involving multiplication and division To use inverse operations

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 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 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.

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 find equivalent fractions Main Lesson: To compare and order fractions whose denominators are all multiples of the same number (Year 5) To compare and order fractions, including fractions >1 (Year 6) To order fractions and use the symbols =, ≠, , ≤, ≥ (KS3) This lesson consists of: A Starter consisting of a series of progressively harder fractions which recap use of equivalent fractions. A connect activity challenging children to identify and discuss methods that they might use to identify the larger of two fractions – allowing you assess prior learning. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children both visually, by using denominators and changing fractions to have the same denominator in order to compare and order fractions. A 4-way differentiated series of tasks requiring children to compare and order fractions with the challenge activity introducing ≠, ≤ and ≥ signs. A final AFL / Next Steps task, asking children to apply their knowledge to an old SATs question, where they can demonstrate their understanding of strategies to compare two fractions. fractions, visual, representation, equivalence, equivalent, equivalent, equivalent fractions, fractions, fractions, AfL, multiples, conversion, ordering, sequencing, comparing, ordering, sequencing, comparing, ordering, comparing, ordering, comparing

Learning Objectives Starter: To add fractions Main Lesson: To add fractions with the same denominator, and denominators that are multiples of the same number (Year 5) To add fractions with different denominators, using the concept of equivalent fractions (Year 6) To use the 4 operations applied to proper and improper fractions all both positive and negative (KS3) This lesson consists of: A Starter consisting of a series of progressively harder pairs of fractions which recaps comparing two or more fractions. A connect activity challenging children to identify and discuss methods that they might use to add two fractions – allowing you to assess prior learning. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to understanding how to convert mixed numbers to improper fractions and vice versa, starting with a visual method. A Knowledge Check to allow you to group children appropriately for the independent task. A 4-way differentiated series of tasks requiring children to convert between mixed numbers and improper fractions and to add improper fractions & convert the answers to mixed numbers. Answers provided to ease marking. A final AFL / Next Steps task, asking children to identified made in two example SATs arithmetic questions (2016 Paper A) Also included is a powerpoint and a link to a YouTube presentation providing an animated demonstration of how to recognise improper fractions and mixed numbers and how to convert between the two.

Learning Objectives Starter: To multiply whole numbers by proper and improper fractions > To associate a fraction with division Main Lesson: To solve problems involving division and division, including scaling by simple fractions (Year 5) To divide proper fractions by whole numbers (Year 6) To use the 4 operations with proper and improper fractions, and mixed numbers(KS3) This lesson consists of: A Starter consisting of a series of progressively harder problems where the children multiply 2 fractions together. A connect activity challenging children to consider what happens when fractions are divided by a whole number. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to revise demonstrate what happens when fractions are divided by whole numbers. A series of slides teaching the linking the division fractions by whole numbers to dividing fractions together using correct mathematical language. A 4-way differentiated series of tasks requiring children to divide fractions, mixed numbers and improper fractions by whole numbers. Answers included to ease marking. A final AFL / Next Steps task, providing two incorrectly answered arithmetic questions for the children to identify the mistakes made and find the correct answer (showing their workings).

A plan, set of teaching resources, Interactive Whiteboard presentations for both Promethean and Smartboards. This resource uses the questions on 2016 Key Stage 2 SATs papers 1, 2 and 3 to revise your class' understanding of quick arithmetic methods and revise a specific aspect of the reasoning papers finishing with an AfL style plenary using exemplar questions from the 2016 SATs paper. This is the sixth lesson in a revision programme designed to prepare Year 6 children for the Maths SATs papers 1, 2 and 3. Learning Objectives covered: To subtract whole numbers, decimals or fractions quickly (arithmetic starter) To solve problems involving division

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 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 use the 4 operations with proper and improper fractions Main Lesson: To add and subtract fractions with the same denominator, and denominators that are multiples of the same number (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 with proper and improper fractions, and mixed numbers(KS3) This lesson consists of: A Starter consisting of a series of progressively harder problems where the children perform an addition, subtraction, multiplication (x2) and division calculation involving fractions. A connect activity focussing on the ordering of calculations using BODMAS – enabling you to assess prior learning. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children how to lay out multi operation Word problems involving fractions 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 fractions of quantities and fractions of fractions. Answer sheet provided to support marking. A final AFL / Next Steps task, introducing the children to the relationship between decimals, fractions and percentages.

Learning Objectives Starter: To multiply whole numbers by proper and improper fractions Main Lesson: To multiply proper fractions and mixed numbers by whole numbers (Year 5) To multiply simple pairs of proper fractions, writing the answer in its simplest form (Year 6) To use the 4 operations with proper and improper fractions, and mixed numbers(KS3) This lesson consists of: A Starter consisting of a series of progressively harder problems where the children find the fraction of a whole number A connect activity challenging children to consider what happens when fractions are multiplied together. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to revise how to multiply whole numbers by fractions (by dividing by denominator and multiplying by numerator) and explaining physically and visually why when a fraction is multiplied by a fraction that answer is always smaller. A series of slides teaching the method of multiplying fractions together using correct mathematical language. A 4-way differentiated series of tasks requiring children to multiply whole numbers by fractions, fractions by fractions and mixed numbers and improper fractions by proper fractions, improper fractions and mixed numbers. Answers included to ease marking. A final AFL / Next Steps task, providing three arithmetic questions for the children to answer based on ability

Learning Objectives Starter: To convert between mixed numbers and improper fractions Main Lesson: To add fractions with the same denominator, and denominators that are multiples of the same number (Year 5) To use the 4 operations applied to proper and improper fractions all both positive and negative (KS3) This lesson consists of: A Starter consisting of a series of progressively harder conversion problems involving improper fractions and mixed numbers. A connect activity challenging children to identify the kind of errors that can be made when adding improper fractions and mixed numbers – allowing you to correct misunderstandings and assess prior learning. . An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to understanding how to add improper fractions 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. The introduction also teaches children to convert from mixed numbers to improper fractions before carrying out any calculations A 4-way differentiated series of tasks requiring children to add improper fractions and mixed numbers. A final AFL / Next Steps task, asking children to apply their understanding of the addition of fractions to subtracting 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 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 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.

Learning Objectives Starter: To compare and order fractions Main Lesson: To add fractions with the same denominator, and denominators that are multiples of the same number (Year 5) To add fractions with different denominators, using the concept of equivalent fractions (Year 6) To use the 4 operations applied to proper and improper fractions all both positive and negative (KS3) This lesson consists of: A Starter consisting of a series of progressively harder pairs of fractions which recaps comparing two or more fractions. A connect activity challenging children to identify and discuss methods that they might use to add two fractions – allowing you to assess prior learning. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to understanding how to add fractions 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 add fractions. A final AFL / Next Steps task, asking children to work out what final step has been missed off by a fictional student Sam (forgetting to simplify the answers).

Learning Objectives Starter: To compare improper fractions and mixed numbers Main Lesson: To multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams (Year 5) To associate a fraction with division (Year 6) To find a whole quantity given the quantity represented by a unit fraction (Y6) To recognise and use relationships between operations including inverse operations (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 consider whether the product of two numbers always produces a larger numbers as a way to start considering the effect of multiplying by fractions. An Interactive Whiteboard teaching introduction for both Notebook and ActivInspire flipchart, to teach children to understanding how to multiply whole numbers by fractions (by dividing by denominator and multiplying by numerator (starting with diagrams) and how to find the whole quantity of a number, when they are given what a fraction of that number represents. A 4-way differentiated series of tasks requiring children to multiply whole numbers by fractions and find whole numbers when they are given what a fraction of that number represents (i.e. ¾ x ? = 24). Answers included to ease marking. A final AFL / Next Steps task, providing three answers to a SATs question and children are invited to use the methods they have learned to work out which is correct.